3382:. As the optical experimental clocks move beyond their microwave counterparts in terms of accuracy and stability performance, this puts them in a position to replace the current standard for time, the caesium fountain clock. In the future this might lead to redefining the caesium microwave-based SI second, and other new dissemination techniques at the highest level of accuracy to transfer clock signals will be required that can be used in both shorter-range and longer-range (frequency) comparisons between better clocks and to explore their fundamental limitations without significantly compromising their performance. The BIPM reported in December 2021 based on the progress of optical standards contributing to TAI the Consultative Committee for Time and Frequency (CCTF) initiated work towards a redefinition of the second expected during the 2030s.
14037:
3864:(2021), 3 options were considered for the redefinition of the second sometime around 2026, 2030, or 2034. The first redefinition approach considered was a definition based on a single atomic reference transition. The second redefinition approach considered was a definition based on a collection of frequencies. The third redefinition approach considered was a definition based on fixing the numerical value of a fundamental constant, such as making the Rydberg constant the basis for the definition. The committee concluded there was no feasible way to redefine the second with the third option, since no physical constant is known to enough digits currently to enable realizing the second with a constant.
393:
871:, which rely on the 1.4 GHz hyperfine transition in atomic hydrogen, are also used in time metrology laboratories. Masers outperform any commercial caesium clock in terms of short-term frequency stability. In the past, these instruments have been used in all applications that require a steady reference across time periods of less than one day (frequency stability of about 1 part in ten for averaging times of a few hours). Because some active hydrogen masers have a modest but predictable frequency drift with time, they have become an important part of the BIPM's ensemble of commercial clocks that implement International Atomic Time.
562:
3184:
3972:. Galileo started offering global Early Operational Capability (EOC) on 15 December 2016, providing the third, and first non-military operated, global navigation satellite system. Galileo System Time (GST) is a continuous time scale which is generated on the ground at the Galileo Control Centre in Fucino, Italy, by the Precise Timing Facility, based on averages of different atomic clocks and maintained by the Galileo Central Segment and synchronised with TAI with a nominal offset below 50 nanoseconds. According to the European GNSS Agency, Galileo offers 30 nanoseconds timing accuracy.
669:
57:
3306:
3950:
2357:
1256:) on a hyperfine transition, the field in the cavity oscillates, and the cavity is tuned for maximum microwave amplitude. Alternatively, in a caesium or rubidium clock, the beam or gas absorbs microwaves and the cavity contains an electronic amplifier to make it oscillate. For both types, the atoms in the gas are prepared in one hyperfine state prior to filling them into the cavity. For the second type, the number of atoms that change hyperfine state is detected and the cavity is tuned for a maximum of detected state changes.
3371:
oscillators are in slightly different environments. These are causing differing reactions to gravity, magnetic fields, or other conditions. This miniaturized clock network approach is novel in that it uses an optical lattice of strontium atoms and a configuration of six clocks that can be used to demonstrate relative stability, fractional uncertainty between clocks and methods for ultra-high-precision comparisons between optical atomic clock ensembles that are located close together in a metrology facility.
4368:(this corresponds to a 1 degree uncertainty in the radiation environment as seen by the atoms in NIST-F1). To improve the performance of the NIST primary frequency standard, we sought to reduce the uncertainty due to the BBR effect. To accomplish this goal and to better understand the accepted model of the BBR shift, we developed NIST-F2, a laser-cooled Cs fountain primary frequency standard in which the microwave cavity structure and flight tube operate at cryogenic temperatures (
14031:
320:
1039:
13720:
4050:. Some manufacturers may label radio clocks as atomic clocks, because the radio signals they receive originate from atomic clocks. Normal low-cost consumer-grade receivers that rely on the amplitude-modulated time signals have a practical accuracy uncertainty of ± 0.1 second. This is sufficient for many consumer applications. Instrument grade time receivers provide higher accuracy. Radio clocks incur a propagation delay of approximately 1
1092:
4125:
737:. The closer the frequency is to the inherent oscillation frequency of the atoms, the more atoms will switch states. Such correlation allows very accurate tuning of the frequency of the microwave radiation. Once the microwave radiation is adjusted to a known frequency where the maximum number of atoms switch states, the atom and thus, its associated transition frequency, can be used as a timekeeping oscillator to measure elapsed time.
2246:
929:
1134:
2388:. The list contains the frequency values and the respective standard uncertainties for the rubidium microwave transition and for several optical transitions. These secondary frequency standards are accurate at the level of 10; however, the uncertainties provided in the list are in the range 10 – 10 since they are limited by the linking to the caesium primary standard that currently (2018) defines the second.
13730:
125:
3934:. Periodic corrections are performed to the on-board clocks in the satellites to keep them synchronized with ground clocks. The GPS navigation message includes the difference between GPST and UTC. As of July 2015, GPST is 17 seconds ahead of UTC because of the leap second added to UTC on 30 June 2015. Receivers subtract this offset from GPS Time to calculate UTC.
3042:
3049:'s strontium optical atomic clock is based on neutral atoms. Shining a blue laser onto ultracold strontium atoms in an optical trap tests how efficiently a previous burst of light from a red laser has boosted the atoms to an excited state. Only those atoms that remain in the lower energy state respond to the blue laser, causing the fluorescence seen here.
1783:("LO") are heterodyned to near zero frequency by harmonics of the repeating variation in feedback sensitivity to the LO frequency. The effect places new and stringent requirements on the LO, which must now have low phase noise in addition to high stability, thereby increasing the cost and complexity of the system. For the case of an LO with
2136:
780:. They do this by designing and building frequency standards that produce electric oscillations at a frequency whose relationship to the transition frequency of caesium 133 is known, in order to achieve a very low uncertainty. These primary frequency standards estimate and correct various frequency shifts, including relativistic
3096:. A major obstacle to developing an optical clock is the difficulty of directly measuring optical frequencies. This problem has been solved with the development of self-referenced mode-locked lasers, commonly referred to as femtosecond frequency combs. Before the demonstration of the frequency comb in 2000,
2703:
ion clock. These were the most accurate clocks that had been constructed, with neither clock gaining nor losing time at a rate that would exceed a second in over a billion years. In
February 2010, NIST physicists described a second, enhanced version of the quantum logic clock based on individual ions
1029:
atom moves at a much slower speed of 130 m/s due to its greater mass. The hyperfine frequency of caesium (~9.19 GHz) is also higher than other elements such as rubidium (~6.8 GHz) and hydrogen (~1.4 GHz). The high frequency of caesium allows for more accurate measurements. Caesium
585:
in the 1990s led to increasing accuracy of atomic clocks. Lasers enable the possibility of optical-range control over atomic states transitions, which has a much higher frequency than that of microwaves; while optical frequency comb measures highly accurately such high frequency oscillation in light.
3975:
The March 2018 Quarterly
Performance Report by the European GNSS Service Centre reported the UTC Time Dissemination Service Accuracy was ≤ 7.6 nanoseconds, computed by accumulating samples over the previous 12 months, and exceeding the ≤ 30 ns target. Each Galileo satellite has two passive
3309:
JILA's 2017 three-dimensional (3-D) quantum gas atomic clock consists of a grid of light formed by three pairs of laser beams. A stack of two tables is used to configure optical components around a vacuum chamber. Shown here is the upper table, where lenses and other optics are mounted. A blue laser
2972:
In a next phase, these labs strive to transmit comparison signals in the visible spectrum through fibre-optic cables. This will allow their experimental optical clocks to be compared with an accuracy similar to the expected accuracies of the optical clocks themselves. Some of these labs have already
1407:
than mechanical devices. Atomic clocks can also be isolated from environmental effects to a much higher degree. Atomic clocks have the benefit that atoms are universal, which means that the oscillation frequency is also universal. This is different from quartz and mechanical time measurement devices
1099:
The BIPM defines the unperturbed ground-state hyperfine transition frequency of the rubidium-87 atom, 6 834 682 610.904 312 6 Hz, in terms of the caesium standard frequency. Atomic clocks based on rubidium standards are therefore regarded as secondary representations of
975:
National metrology institutions maintain an approximation of UTC referred to as UTC(k) for laboratory k. UTC(k) is distributed by the BIPM's
Consultative Committee for Time and Frequency. The offset UTC-UTC(k) is calculated every 5 days, the results are published monthly. Atomic clocks record UTC(k)
3370:
In
February 2022, scientists at the University of Wisconsin-Madison reported a "multiplexed" optical atomic clock, where individual clocks deviated from each other with an accuracy equivalent to losing a second in 300 billion years. The reported minor deviation is explainable as the concerned clock
2668:
Twenty-first century experimental atomic clocks that provide non-caesium-based secondary representations of the second are becoming so precise that they are likely to be used as extremely sensitive detectors for other things besides measuring frequency and time. For example, the frequency of atomic
4012:(DSAC), a miniaturized, ultra-precise mercury-ion atomic clock, into outer space. NASA said that the DSAC would be much more stable than other navigational clocks. The clock was successfully launched on 25 June 2019, activated on 23 August 2019 and deactivated two years later on 18 September 2021.
3983:
The
Galileo navigation message includes the differences between GST, UTC and GPST, to promote interoperability. In the summer of 2021, the European Union settled on a passive hydrogen maser for the second generation of Galileo satellites, starting in 2023, with an expected lifetime of 12 years per
3945:
provides an alternative to the Global
Positioning System (GPS) system and is the second navigational system in operation with global coverage and of comparable precision. GLONASS Time (GLONASST) is generated by the GLONASS Central Synchroniser and is typically better than 1,000 nanoseconds. Unlike
3405:
The most accurate caesium clocks based on the caesium frequency of 9.19 GHz have an accuracy between 10–10. Unfortunately, they are big and only available in large metrology labs and not useful for factories or industrial environments that would use an atomic clock for GPS accuracy but cannot
3314:
In 2017 JILA reported an experimental 3D quantum gas strontium optical lattice clock in which strontium-87 atoms are packed into a tiny three-dimensional (3-D) cube at 1,000 times the density of previous one-dimensional (1-D) clocks, such as the 2015 JILA clock. A comparison between two regions of
3195:
The rare-earth element ytterbium (Yb) is valued not so much for its mechanical properties but for its complement of internal energy levels. "A particular transition in Yb atoms, at a wavelength of 578 nm, currently provides one of the world's most accurate optical atomic frequency standards," said
1411:
A clock's quality can be specified by two parameters: accuracy and stability. Accuracy is a measurement of the degree to which the clock's ticking rate can be counted on to match some absolute standard such as the inherent hyperfine frequency of an isolated atom or ion. Stability describes how the
1337:
changes and are not very accurate. The most accurate clocks use atomic vibrations to keep track of time. Clock transition states in atoms are insensitive to temperature and other environmental factors and the oscillation frequency is much higher than any of the other clocks (in microwave frequency
1289:
Many of the newer clocks, including microwave clocks such as trapped ion or fountain clocks, and optical clocks such as lattice clocks use a sequential interrogation protocol rather than the frequency modulation interrogation described above. An advantage of sequential interrogation is that it can
1157:
Hydrogen masers are used for flywheel oscillators in laser-cooled atomic frequency standards and broadcasting time signals from national standards laboratories, although they need to be corrected as they drift from the correct frequency over time. The hydrogen maser is also useful for experimental
3366:
over 6 hours. Recently it has been proved that the quantum entanglement can help to further enhance the clock stability. In 2020 optical clocks were researched for space applications like future generations of global navigation satellite systems (GNSSs) as replacements for microwave based clocks.
3274:
excites the atoms between two of their energy levels. Having established the stability of the clocks, the researchers are studying external influences and evaluating the remaining systematic uncertainties, in the hope that they can bring the clock's accuracy down to the level of its stability. An
8164:
Masuda, T.; Yoshimi, A.; Fujieda, A.; Fujimoto, H.; Haba, H.; Hara, H.; Hiraki, T.; Kaino, H.; Kasamatsu, Y.; Kitao, S.; Konashi, K.; Miyamoto, Y.; Okai, K.; Okubo, S.; Sasao, N.; Seto, M.; Schumm, T.; Shigekawa, Y.; Suzuki, K.; Stellmer, S.; Tamasaku, K.; Uetake, S.; Watanabe, M.; Watanabe, T.;
4073:
effect has been well documented. Atomic clocks are effective at testing general relativity on ever smaller scales. A project to observe twelve atomic clocks from 11 November 1999 to
October 2014 resulted in a further demonstration that Einstein's theory of general relativity is accurate at small
3354:
in about two hours. According to Jun Ye, "this represents a significant improvement over any previous demonstrations". Ye further commented "the most important potential of the 3D quantum gas clock is the ability to scale up the atom numbers, which will lead to a huge gain in stability" and "the
1145:
Hydrogen masers have superior short-term stability compared to other standards, but lower long-term accuracy. The long-term stability of hydrogen maser standards decreases because of changes in the cavity's properties over time. The relative error of hydrogen masers is 5 × 10 for periods of 1000
6822:
Liu, Liang; Lü, Desheng; Chen, Weibiao; Li, Tang; Qu, Qiuzhi; Wang, Bin; Li, Lin; Ren, Wei; Dong, Zuoren; Zhao, Jianbo; Xia, Wenbing; Zhao, Xin; Ji, Jingwei; Ye, Meifeng; Sun, Yanguang; Yao, Yuanyuan; Song, Dan; Liang, Zhaogang; Hu, Shanjiang; Yu, Dunhe; Hou, Xia; Shi, Wei; Zang, Huaguo; Xiang,
3100:
techniques were needed to bridge the gap between radio and optical frequencies, and the systems for doing so were cumbersome and complicated. With the refinement of the frequency comb, these measurements have become much more accessible and numerous optical clock systems are now being developed
936:
National laboratories usually operate a range of clocks. These are operated independently of one another and their measurements are sometimes combined to generate a scale that is more stable and more accurate than that of any individual contributing clock. This scale allows for time comparisons
3414:
In 2022, the best realisation of the second is done with caesium primary standard clocks such as IT-CsF2, NIST-F2, NPL-CsF2, PTB-CSF2, SU–CsFO2 or SYRTE-FO2. These clocks work by laser-cooling a cloud of caesium atoms to a microkelvin in a magneto-optic trap. These cold atoms are then launched
1141:
The BIPM defines the unperturbed optical transition frequency of the hydrogen-1 neutral atom, 1 233 030 706 593 514 Hz, in terms of the caesium standard frequency. Atomic clocks based on hydrogen standards are therefore regarded as secondary representations of the
8038:
von der Wense, Lars; Seiferle, Benedict; Laatiaoui, Mustapha; Neumayr, Jürgen B.; Maier, Hans-Jörg; Wirth, Hans-Friedrich; Mokry, Christoph; Runke, Jörg; Eberhardt, Klaus; Düllmann, Christoph E.; Trautmann, Norbert G.; Thirolf, Peter G. (5 May 2016). "Direct detection of the Th nuclear clock
3921:
provides very accurate timing and frequency signals. A GPS receiver works by measuring the relative time delay of signals from a minimum of four, but usually more, GPS satellites, each of which has at least two onboard caesium and as many as two rubidium atomic clocks. The relative times are
2822:, which was better than existing 2019 optical atomic clock technology. Although a precise clock remains an unrealized theoretical possibility, efforts through the 2010s to measure the transition energy culminated in the 2024 measurement of the optical frequency with sufficient accuracy (
2237:, and, for many of the newer clocks, is significantly larger. Analysis of the effect and its consequence as applied to optical standards has been treated in a major review (Ludlow, et al., 2015) that lamented on "the pernicious influence of the Dick effect", and in several other papers.
1259:
Most of the complexity of the clock lies in this adjustment process. The adjustment tries to correct for unwanted side-effects, such as frequencies from other electron transitions, temperature changes, and the spreading in frequencies caused by the vibration of molecules including
1574:
2669:
clocks is altered slightly by gravity, magnetic fields, electrical fields, force, motion, temperature and other phenomena. The experimental clocks tend to continue to improve, and leadership in performance has shifted back and forth between various types of experimental clocks.
951:
Before TAI is published, the frequency of the result is compared with the SI second at various primary and secondary frequency standards. This requires relativistic corrections to be applied to the location of the primary standard which depend on the distance between the
1111:) and short-term stability. They are used in many commercial, portable and aerospace applications. Modern rubidium standard tubes last more than ten years, and can cost as little as US$ 50. Some commercial applications use a rubidium standard periodically corrected by a
853:
Primary frequency standards can be used to calibrate the frequency of other clocks used in national laboratories. These are usually commercial caesium clocks having very good long-term frequency stability, maintaining a frequency with a stability better than 1 part in
3627:, or even higher. They have better stabilities than microwave clocks, which means that they can facilitate evaluation of lower uncertainties. They also have better time resolution, which means the clock "ticks" faster. Optical clocks use either a single ion, or an
908:
when averaged over 15 minutes. Receivers allow the simultaneous reception of signals from several satellites, and make use of signals transmitted on two frequencies. As more satellites are launched and start operations, time measurements will become more accurate.
342:
in his 1873 Treatise on
Electricity and Magnetism: 'A more universal unit of time might be found by taking the periodic time of vibration of the particular kind of light whose wave length is the unit of length.' Maxwell argued this would be more accurate than the
3995:. BeiDou Time (BDT) is a continuous time scale starting at 1 January 2006 at 0:00:00 UTC and is synchronised with UTC within 100 ns. BeiDou became operational in China in December 2011, with 10 satellites in use, and began offering services to customers in the
1970:
3999:
region in
December 2012. On 27 December 2018 the BeiDou Navigation Satellite System started to provide global services with a reported timing accuracy of 20 ns. The final, 35th, BeiDou-3 satellite for global coverage was launched into orbit on 23 June 2020.
8403:
Elwell, R.; Schneider, Christian; Jeet, Justin; Terhune, J. E. S.; Morgan, H. W. T.; Alexandrova, A. N.; Tran Tan, Hoang Bao; Derevianko, Andrei; Hudson, Eric R. (2 July 2024). "Laser excitation of the Th nuclear isomeric transition in a solid-state host".
10979:
Grebing, Christian; Al-Masoudi, Ali; Dörscher, Sören; Häfner, Sebastian; Gerginov, Vladislav; Weyers, Stefan; Lipphardt, Burghard; Riehle, Fritz; Sterr, Uwe; Lisdat, Christian (2016). "Realization of a timescale with an accurate optical lattice clock".
2313:
technology. Such clocks are also called optical clocks where the energy level transitions used are in the optical regime (giving rise to even higher oscillation frequency), which thus, have much higher accuracy as compared to traditional atomic clocks.
10586:
Schuldt, Thilo; Gohlke, Martin; Oswald, Markus; Wüst, Jan; Blomberg, Tim; Döringshoff, Klaus; Bawamia, Ahmad; Wicht, Andreas; Lezius, Matthias; Voss, Kai; Krutzik, Markus; Herrmann, Sven; Kovalchuk, Evgeny; Peters, Achim; Braxmaier, Claus (July 2021).
3778:
2261:
developed a series of seven caesium-133 microwave clocks named NBS-1 to NBS-6 and NIST-7 after the agency changed its name from the
National Bureau of Standards to the National Institute of Standards and Technology. The first clock had an accuracy of
903:
The signal received from one satellite in a metrology laboratory equipped with a receiver with an accurately known position allows the time difference between the local time scale and the GNSS system time to be determined with an uncertainty of a few
644:. The second is expected to be redefined when the field of optical clocks matures, sometime around the year 2030 or 2034. In order for this to occur, optical clocks must be consistently capable of measuring frequency with accuracy at or better than
2969:. These four European labs are developing and host a variety of experimental optical clocks that harness different elements in different experimental set-ups and want to compare their optical clocks against each other and check whether they agree.
3848:
The only viable way to fix the Rydberg constant involves trapping and cooling hydrogen. Unfortunately, this is difficult because it is very light and the atoms move very fast, causing Doppler shifts. The radiation needed to cool the hydrogen
3074:, is a pioneer in exploiting the properties of a single ion held in a trap to develop clocks of the highest stability. The development of the first optical clock was started at NIST in 2000 and finished in 2006. See for a review up to 2020.
777:
1030:
reference tubes suitable for national standards currently last about seven years and cost about US$ 35,000. Primary frequency and time standards like the United States Time Standard atomic clocks, NIST-F1 and NIST-F2, use far higher power.
2989:
In August 2016 the French LNE-SYRTE in Paris and the German PTB in Braunschweig reported the comparison and agreement of two fully independent experimental strontium lattice optical clocks in Paris and Braunschweig at an uncertainty of
967:
TAI is not distributed in everyday timekeeping. Instead, an integer number of leap seconds are added or subtracted to correct for the Earth's rotation, producing UTC. The number of leap seconds is changed so that mean solar noon at the
2965:; and Italy's Istituto Nazionale di Ricerca Metrologica (INRiM) in Turin labs have started tests to improve the accuracy of current state-of-the-art satellite comparisons by a factor of 10, but it will still be limited to one part in
2985:
but these span much shorter distances than the European network and are between just two labs. According to Fritz Riehle, a physicist at PTB, "Europe is in a unique position as it has a high density of the best clocks in the world".
2256:
The accuracy of atomic clocks has improved continuously since the first prototype in the 1950s. The first generation of atomic clocks were based on measuring caesium, rubidium, and hydrogen atoms. In a time period from 1959 to 1998,
3057:
was proposed by Russian physicist Vladilen Letokhov in the 1960s. The theoretical move from microwaves as the atomic "escapement" for clocks to light in the optical range, harder to measure but offering better performance, earned
1774:
Modern clocks such as atomic fountains or optical lattices that use sequential interrogation are found to generate type of noise that mimics and adds to the instability inherent in atom or ion counting. This effect is called the
879:
The time readings of clocks operated in metrology labs operating with the BIPM need to be known very accurately. Some operations require synchronization of atomic clocks separated by great distances over thousands of kilometers.
12311:
11108:
Roslund, Jonathan D.; Cingöz, Arman; Lunden, William D.; Partridge, Guthrie B.; Kowligy, Abijith S.; Roller, Frank; Sheredy, Daniel B.; Skulason, Gunnar E.; Song, Joe P.; Abo-Shaeer, Jamil R.; Boyd, Martin M. (23 August 2023).
8228:
Seiferle, B.; von der Wense, L.; Bilous, P.V.; Amersdorffer, I.; Lemell, C.; Libisch, F.; Stellmer, S.; Schumm, T.; Düllmann, C.E.; Pálffy, A.; Thirolf, P.G. (12 September 2019). "Energy of the Th nuclear clock transition".
3427:
systematic uncertainty, which is equivalent to 50 picoseconds per day. A system of several fountains worldwide contributes to International Atomic Time. These caesium clocks also underpin optical frequency measurements.
652:. In addition, methods for reliably comparing different optical clocks around the world in national metrology labs must be demonstrated, and the comparison must show relative clock frequency accuracies at or better than
3227:. There are two reasons for the possibly better precision. Firstly, the frequency is measured using light, which has a much higher frequency than microwaves, and secondly, by using many atoms, any errors are averaged.
12584:
Bothwell, Tobias; Kennedy, Colin J.; Aeppli, Alexander; Kedar, Dhruv; Robinson, John M.; Oelker, Eric; Staron, Alexander; Ye, Jun (2022). "Resolving the gravitational redshift across a millimetre-scale atomic sample".
8979:
Beloy, Kyle; Bodine, Martha I.; Bothwell, Tobias; Brewer, Samuel M.; Bromley, Sarah L.; Chen, Jwo-Sy; Deschênes, Jean-Daniel; Diddams, Scott A.; Fasano, Robert J.; Fortier, Tara M.; Hassan, Youssef S. (25 March 2021).
2943:
Insensitivity to environmental effects. Due to its small size and the shielding effect of the surrounding electrons, an atomic nucleus is much less sensitive to ambient electromagnetic fields than is an electron in an
3896:
radio transmitters. They are used at some long-wave and medium-wave broadcasting stations to deliver a very precise carrier frequency. Atomic clocks are used in many scientific disciplines, such as for long-baseline
3591:
3196:
Marianna Safronova. The estimated uncertainty achieved corresponds to about one second over the lifetime of the universe so far, 15 billion years, according to scientists at the Joint Quantum Institute (JQI) and the
691:. The atomic clock was about the size of a grain of rice with a frequency of about 9 GHz. This technology became available commercially in 2011. Atomic clocks on the scale of one chip require less than 30
3487:
1070:). The output of the frequency synthesizer is amplified and applied to a chamber containing caesium gas which absorbs the microwaves. The output current of the caesium chamber increases as absorption increases.
8102:
Thielking, J.; Okhapkin, M.V.; Glowacki, P.; Meier, D.M.; von der Wense, L.; Seiferle, B.; Düllmann, C.E.; Thirolf, P.G.; Peik, E. (2018). "Laser spectroscopic characterization of the nuclear-clock isomer Th".
10508:
Pedrozo-Peñafiel, Edwin; Colombo, Simone; Shu, Chi; Adiyatullin, Albert F.; Li, Zeyang; Mendez, Enrique; Braverman, Boris; Kawasaki, Akio; Akamatsu, Daisuke; Xiao, Yanhong; Vuletić, Vladan (16 December 2020).
545:. Timekeeping researchers are currently working on developing an even more stable atomic reference for the second, with a plan to find a more precise definition of the second as atomic clocks improve based on
2973:
established fibre-optic links, and tests have begun on sections between Paris and Teddington, and Paris and Braunschweig. Fibre-optic links between experimental optical clocks also exist between the American
1464:
3929:
GPST is related to but differs from TAI (International Atomic Time) and UTC (Coordinated Universal Time). GPST remains at a constant offset from TAI (TAI – GPST = 19 seconds) and like TAI does not implement
2947:
Greater number of atoms. Because of the aforementioned insensitivity to ambient fields, it is not necessary to have the clock atoms well-separated in a dilute gas. Current measurements take advantage of the
8957:
3843:
999:
The SI second is defined as a certain number of unperturbed ground-state hyperfine transitions of the caesium-133 atom. Caesium standards are therefore regarded as primary time and frequency standards.
7682:
Brewer, S. M.; Chen, J.-S.; Hankin, A. M.; Clements, E. R.; Chou, C. W.; Wineland, D. J.; Hume, D. B.; Leibrandt, D. R. (15 July 2019). "Al Quantum-Logic Clock with a Systematic Uncertainty below 10".
672:
The heart of NIST's next-generation miniature atomic clock – ticking at high "optical" frequencies – is this vapor cell on a chip, shown next to a coffee bean for scale.
12289:
2792:" in the ultraviolet frequency range. In 2003, Ekkehard Peik and Christian Tamm noted this makes a clock possible with current optical frequency-measurement techniques. In 2012, it was shown that a
13759:
4024:
announced a drive to upgrade to the U.S. military timekeeping systems for greater precision over time when sensors do not have access to GPS satellites, with a plan to reach precision of 1 part in
3872:
A redefinition must include improved optical clock reliability. TAI must be contributed to by optical clocks before the BIPM affirms a redefinition. A consistent method of sending signals, such as
7558:
6435:
Santarelli, G.; Audoin, C.; Makdissi, A.; Laurent, P.; Dick, G.J.; Clairon, A. (1998). "Frequency stability degradation of an oscillator slaved to a periodically interrogated atomic resonator".
6527:
6437:
2235:
10339:
9984:
Nicholson, T. L.; Campbell, S. L.; Hutson, R. B.; Marti, G. E.; Bloom, B. J.; McNally, R. L.; Zhang, W.; Barrett, M. D.; Safronova, M. S.; Strouse, G. F.; Tew, W. L.; Ye, Jun (21 April 2015).
9719:
1298:(LO) for a time of perhaps a second or so. Analysis of the final state of the atoms is then used to generate a correction signal to keep the LO frequency locked to that of the atoms or ions.
2131:{\displaystyle \sigma _{y,\,{\rm {Dick}}}(\tau )\approx {\frac {\sigma _{y}^{\rm {LO}}}{\sqrt {2\ln(2)}}}\cdot \left|{\frac {\sin(\pi d)}{\pi d}}\right|\cdot {\sqrt {\frac {T_{c}}{\tau }}}.}
589:
The first advance beyond the precision of caesium clocks occurred at NIST in 2010 with the demonstration of a "quantum logic" optical clock that used aluminum ions to achieve a precision of
11978:
8763:
3104:
As in the radio range, absorption spectroscopy is used to stabilize an oscillator—in this case, a laser. When the optical frequency is divided down into a countable radio frequency using a
2344:
The performance of primary and secondary frequency standards contributing to International Atomic Time (TAI) is evaluated. The evaluation reports of individual (mainly primary) clocks are
1831:
12319:
9659:
10218:
7366:
7275:
7184:
5536:
Dimarcq, Noel; Gertsvolf, Marina; Mileti, Gaetano; Bize, Sebastien; Oates, Christopher; Peik, Ekkehard; Calonico, Davide; Ido, Tetsuya; Tavella, Patrizia; Meynadier, Frédéric (2024).
5259:
Nicholson, T. L.; Campbell, S. L.; Hutson, R. B.; Marti, G. E.; Bloom, B. J.; McNally, R. L.; Zhang, W.; Barrett, M. D.; Safronova, M. S.; Strouse, G. F.; Tew, W. L. (21 April 2015).
3922:
mathematically transformed into three absolute spatial coordinates and one absolute time coordinate. GPS Time (GPST) is a continuous time scale and theoretically accurate to about 14
373:
is reduced by temperature fluctuations. This led to the idea of measuring the frequency of an atom's vibrations to keep time much more accurately, as proposed by James Clerk Maxwell,
10706:
McGrew, W. F.; Zhang, X.; Fasano, R. J.; Schaffer, S. A.; Beloy, K.; Nicolodi, D.; Brown, R. C.; Hinkley, N.; Milani, G.; Schioppo, M.; Yoon, T. H.; Ludlow, A. D. (6 December 2018).
7910:
3988:
204:
427:
nowadays, for higher frequencies and narrower resonances in the oscillating fields. Kolsky, Phipps, Ramsey, and Silsbee used this technique for molecular beam spectroscopy in 1950.
8517:
Zhang, Chuankun; Ooi, Tian; Higgins, Jacob S.; Doyle, Jack F.; von der Wense, Lars; Beeks, Kjeld; Leitner, Adrian; Kazakov, Georgy; Li, Peng; Thirolf, Peter G.; Schumm, Thorsten;
4619:
4109:. Accurate timekeeping is needed to prevent illegal trading ahead of time, in addition to ensuring fairness to traders on the other side of the globe. The current system known as
3654:
3406:
afford to build a whole metrology laboratory for one atomic clock. Researchers have designed a strontium optical clock that can be moved around in an air-conditioned car trailer.
3180:
depends on the element that is stimulated. For example, calcium optical clocks resonate when red light is produced, and ytterbium clocks resonate in the presence of violet light.
2940:
Higher frequency. All other things being equal, a higher-frequency transition offers greater stability for simple statistical reasons (fluctuations are averaged over more cycles).
9879:
1456:
3310:
beam excites a cube-shaped cloud of strontium atoms located behind the round window in the middle of the table. Strontium atoms fluoresce strongly when excited with blue light.
2961:
In June 2015, the National Physical Laboratory (NPL) in Teddington, UK; the French department of Time-Space Reference Systems at the Paris Observatory (LNE-SYRTE); the German
944:(TAI), then adding leap seconds as necessary. TAI is a weighted average of around 450 clocks in some 80 time institutions. The relative stability of TAI is around one part in
1958:
1073:
The remainder of the circuitry simply adjusts the running frequency of the VCXO to maximize the output current of the caesium chamber which keeps the oscillator tuned to the
10126:
9959:
2176:
1926:
1651:
826:
microwave transition and other optical transitions, including neutral atoms and single trapped ions. These secondary frequency standards can be as accurate as one part in
702:
The National Institute of Standards and Technology created a program NIST on a chip to develop compact ways of measuring time with a device just a few millimeters across.
10452:
5867:
1718:
1694:
1600:
1399:
2384:
A list of frequencies recommended for secondary representations of the second is maintained by the International Bureau of Weights and Measures (BIPM) since 2006 and is
11543:
11176:
7748:
262:
of the involved atomic clocks is important because the smaller the error in time measurement, the smaller the error in distance obtained by multiplying the time by the
13935:
10486:
9078:
4093:
seconds. Given its quantum nature and the fact that time is a relativistic quantity, atomic clocks can be used to see how time is influenced by general relativity and
3621:
1769:
1372:
11775:
5582:
4325:
Thomas P. Heavner; Elizabeth A. Donley; Filippo Levi; Giovanni Costanzo; Thomas E. Parker; Jon H. Shirley; Neil Ashby; Stephan Barlow; Steven R. Jefferts (May 2014).
3507:
3374:
Optical clocks are currently (2022) still primarily research projects, less mature than rubidium and caesium microwave standards, which regularly deliver time to the
5816:
12197:"Definition and Realization of the System Time of COMPASS/BeiDou Navigation Satellite System, Chunhao Han, Beijing Global Information Center,(BGIC), Beijing, China"
7977:
Campbell, C.; Radnaev, A.G.; Kuzmich, A.; Dzuba, V.A.; Flambaum, V.V.; Derevianko, A. (2012). "A single ion nuclear clock for metrology at the 19th decimal place".
1878:
1851:
1742:
1671:
13858:
11833:
11769:"GLONASS Interface Control Document, Navigation radiosignal In bands L1, L2 (ICD L1, L2 GLONASS), Russian Institute of Space Device Engineering, Edition 5.1, 2008"
8953:
2768:
which current atomic clocks measure. Most nuclear transitions operate at far too high a frequency to be measured, but the exceptionally low excitation energy of
7445:
1624:
1294:, during which the atom or ion collections are analyzed, renewed and driven into a proper quantum state, after which they are interrogated with a signal from a
6163:
Jain, Pratik; Priya, Priyanka; Ram, T. V. S.; Parikh, K. S.; Bandi, Thejesh N. (1 December 2021). "Digital lock-in amplifier for space rubidium atomic clock".
5157:
1286:. When a clock is first turned on, it takes a while for the oscillator to stabilize. In practice, the feedback and monitoring mechanism is much more complex.
1282:
properties of the atomic transition frequency of the caesium can be used to tune the microwave oscillator to the same frequency, except for a small amount of
729:
An atomic clock is based on a system of atoms which may be in one of two possible energy states. A group of atoms in one state is prepared, then subjected to
12184:
6486:
6419:
J. A. Barnes, A. R. Chi, L. S. Cutler, D. J. Healey, D. B. Leeson, T. E. McGunigal, J. A. Mullen, W. L. Smith, R. Sydnor, R. F. C. Vessot, G. M. R. Winkler:
2372:, more stable and more reliable. The Cold Atom Clock Experiment in Space (CACES) testing a Cold Atom Clock in Earth orbit in microgravity conditions and the
12281:
5234:
676:
In addition to increased accuracy, the development of chip-scale atomic clocks has expanded the number of places atomic clocks can be used. In August 2004,
11804:
9044:
3116:
is also divided by that factor. Although the bandwidth of laser phase noise is generally greater than stable microwave sources, after division it is less.
12067:
9741:
3242:
over a 7-hour period was published on 22 August 2013. At this stability, the two optical lattice clocks working independently from each other used by the
61:
NIST physicists Steve Jefferts (foreground) and Tom Heavner with the NIST-F2 caesium fountain atomic clock, a civilian time standard for the United States
13766:
12647:
11855:
7550:
3355:
ability to scale up both the atom number and coherence time will make this new-generation clock qualitatively different from the previous generation".
3025:) apart at the NIST lab, its partner lab JILA, and the University of Colorado all in Boulder, Colorado over air and fiber optic cable to a precision of
792:
shift) and several other factors. The best primary standards currently produce the SI second with an accuracy approaching an uncertainty of one part in
11452:
9823:
7123:
3223:, which is as accurate as the experiment could measure. These clocks have been shown to keep pace with all three of the caesium fountain clocks at the
10217:
Campbell, S. L.; Hutson, R. B.; Marti, G. E.; Goban, A.; Oppong, N. Darkwah; McNally, R. L.; Sonderhouse, L.; Zhang, W.; Bloom, B. J.; Ye, J. (2017).
5437:
Bothwell, Tobias; Kennedy, Colin J.; Aeppli, Alexander; Kedar, Dhruv; Robinson, John M.; Oelker, Eric; Staron, Alexander; Ye, Jun (16 February 2022).
3203:
In 2013 optical lattice clocks (OLCs) were shown to be as good as or better than caesium fountain clocks. Two optical lattice clocks containing about
10335:
9715:
8165:
Yasuda, Y.; Yamaguchi, A.; Yoda, Y.; Yokokita, T.; Yoshimura, M.; Yoshimura, K. (12 September 2019). "X-ray pumping of the Th nuclear clock isomer".
1744:
over which the measurements are averaged increases from seconds to hours to days. The stability is most heavily affected by the oscillator frequency
6000:
3133:
These techniques allow the atoms or ions to be highly isolated from external perturbations, thus producing an extremely stable frequency reference.
156:. Electron states in an atom are associated with different energy levels, and in transitions between such states they interact with a very specific
11923:
11601:
10313:
6026:
1204:
11971:
11381:"Consultative Committee for Units (CCU) Report of the 25th meeting (21-23 September 2021) to the International Committee for Weights and Measures"
1214:
This definition makes the caesium oscillator the primary standard for time and frequency measurements, called the caesium standard. Following the
7524:
239:
to within one second while being based on clocks that are based on the definition of the second, though leap seconds will be phased out in 2035.
1779:
and is typically the primary stability limitation for the newer atomic clocks. It is an aliasing effect; high frequency noise components in the
140:(formerly HP) 5071A caesium beam clocks. The black units in the foreground are Microsemi (formerly Sigma-Tau) MHM-2010 hydrogen maser standards.
11888:"1 The Definition and Implementation of Galileo System Time (GST). ICG-4 WG-D on GNSS time scales. Jérôme Delporte. CNES – French Space Agency"
11686:
6907:
5621:
4663:
3520:
3302:". At this frequency uncertainty, this JILA optical lattice clock is expected to neither gain nor lose a second in more than 15 billion years.
3243:
2258:
753:
677:
510:
vibrations of the unperturbed ground-state hyperfine transition frequency of the caesium-133 atom. Prior to that it was defined by there being
431:
296:
12003:
11631:
9901:
Bloom, B. J.; Nicholson, T. L.; Williams, J. R.; Campbell, S. L.; Bishof, M.; Zhang, X.; Zhang, W.; Bromley, S. L.; Ye, J. (22 January 2014).
9380:
6800:
3415:
vertically by laser light. The atoms then undergo Ramsey excitation in a microwave cavity. The fraction of excited atoms are then detected by
980:, time signal transmitters, and speaking clocks. In addition, GNSS provides time information accurate to a few tens of nanoseconds or better.
884:(GNSS) provide a satisfactory solution to the problem of time transfer. Atomic clocks are used to broadcast time signals in the United States
9655:
6113:
2322:
773:
443:
382:
327:
10277:
9604:
7844:
Gao, Qi; Zhou, Min; Han, Chengyin; Li, Shangyan; Zhang, Shuang; Yao, Yuan; Li, Bo; Qiao, Hao; Ai, Di; Lou, Ge; Zhang, Mengya (22 May 2018).
7362:
7271:
7180:
6973:
6769:
5977:
976:
to no more than 100 nanoseconds. In some countries, UTC(k) is the legal time that is distributed by radio, television, telephone, Internet,
13851:
12672:
9633:
7949:
7155:
6090:
5812:
3375:
815:
3434:
1569:{\displaystyle \sigma _{y,\,{\rm {atoms}}}(\tau )\approx {\frac {\Delta \nu }{\nu _{0}{\sqrt {N}}}}{\sqrt {\frac {T_{\text{c}}}{\tau }}},}
11712:
10370:
10095:
5003:
3323:
in 1 hour of averaging time. This precision value does not represent the absolute accuracy or precision of the clock, which remain above
11949:
11746:
10637:
Brewer, S. M.; Chen, J.-S.; Hankin, A. M.; Clements, E. R.; Chou, C. W.; Wineland, D. J.; Hume, D. B.; Leibrandt, D. R. (15 July 2019).
7002:
5368:
Brewer, S. M.; Chen, J.-S.; Hankin, A. M.; Clements, E. R.; Chou, C. W.; Wineland, D. J.; Hume, D. B.; Leibrandt, D. R. (15 July 2019).
4304:
621:
in 2015. Scientists at NIST developed a quantum logic clock that measured a single aluminum ion in 2019 with a frequency uncertainty of
12037:
9439:
4667:
2368:
Most research focuses on the often conflicting goals of making the clocks smaller, cheaper, more portable, more energy efficient, more
12096:
9875:
7582:
4085:
between two layers of atoms separated by one millimeter using a strontium optical clock cooled to 100 nanokelvins with a precision of
11660:
593:. Optical clocks are a very active area of research in the field of metrology as scientists work to develop clocks based on elements
12423:
1119:). This achieves excellent short-term accuracy, with long-term accuracy equal to (and traceable to) the US national time standards.
14389:
12724:
9776:
5510:
10118:
10060:
9902:
5617:
5343:
3783:
13844:
13329:
13165:
5919:
4164:
1203:
of radiation corresponding to the transition between two energy levels of the ground state of the caesium-133 atom. In 1997, the
1059:
12352:
12203:
4746:
1771:. This is why optical clocks such as strontium clocks (429 terahertz) are much more stable than caesium clocks (9.19 GHz).
11380:
10564:
10393:
5840:
5589:
4823:
3961:
2727:, which is the first demonstration of such a clock with uncertainty below 10 and remains the most accurate clock in the world.
13789:
11894:
2297:. The goal is to redefine the second when clocks become so accurate that they will not lose or gain more than a second in the
12794:
12760:
11532:
11489:
9853:
9348:
9070:
7744:
7657:
5853:
5041:
4933:
4255:
4105:
Atomic clocks keep accurate records of transactions between buyers and sellers to the millisecond or better, particularly in
2962:
1051:
749:
435:
10478:
5058:
1306:
All timekeeping devices use oscillatory phenomena to accurately measure time, whether it is the rotation of the Earth for a
14358:
12551:
12525:
12375:
12258:
12232:
11768:
11572:
11202:
Koller, S. B.; Grotti, J.; Vogt, St.; Al-Masoudi, A.; Dörscher, S.; Häfner, S.; Sterr, U.; Lisdat, Ch. (13 February 2017).
8839:"Hyper-precise atomic clocks face off to redefine time – Next-generation timekeepers can only be tested against each other"
8790:"Hyper-precise atomic clocks face off to redefine time – Next-generation timekeepers can only be tested against each other"
5803:
3884:
The development of atomic clocks has led to many scientific and technological advances such as precise global and regional
3346:(a quantum gas for Fermi particles). The experimental data shows the 3D quantum gas clock achieved a residual precision of
9233:
3367:
Ye's strontium-87 clock has not surpassed the aluminum-27 or ytterbium-171 optical clocks in terms of frequency accuracy.
937:
between different clocks in the laboratory. These atomic time scales are generally referred to as TA(k) for laboratory k.
176:
The second, symbol s, is the SI unit of time. It is defined by taking the fixed numerical value of the caesium frequency,
4278:
3992:
3394:
632:
At JILA in September 2021, scientists demonstrated an optical strontium clock with a differential frequency precision of
416:
and microwave absorption signals. Unfortunately, this caused a side effect with a light shift of the resonant frequency.
12152:
12004:"Galileo Open Service and Search and Rescue – Quarterly Performance Reports, containing measured performance statistics"
11829:
3926:. However, most receivers lose accuracy in the interpretation of the signals and are only accurate to 100 nanoseconds.
2181:
1290:
accommodate much higher Q's, with ringing times of seconds rather than milliseconds. These clocks also typically have a
15081:
14627:
13752:
5727:
3389:
molecules were demonstrated at-sea on a naval vessel and operated continuously in the Pacific Ocean for 20 days in the
1054:(VCXO) that is tunable over a narrow range. The output frequency of the VCXO (typically 5 MHz) is multiplied by a
12507:
10588:
5643:
4628:
3339:
respectively. The 3D quantum gas strontium optical lattice clock's centerpiece is an unusual state of matter called a
15091:
14109:
6107:
5182:
4457:
2385:
1151:
374:
10832:
8679:
Seiferle, Benedict; von der Wense, Lars; Thirolf, Peter G. (2017). "Lifetime measurement of the Th nuclear isomer".
136:, which provides the time standard for the U.S. Department of Defense. The rack mounted units in the background are
3942:
3861:
1790:
439:
7030:; Donaldson, R W; Hope, E G; Bangham, M J (July 1973). "Hydrogen Maser Work at the National Physical Laboratory".
3017:
In 2021, NIST compared transmission of signals from a series of experimental atomic clocks located about 1.5
13279:
12934:
12121:
6598:
4903:"Paper 1.15: "Experiments with Separated Oscillatory Fields and Hydrogen Masers," (Nobel Lecture), N. F. Ramsey,
4210:
129:
11800:
10148:
Huntemann, N.; Sanner, C.; Lipphardt, B.; Tamm, Chr.; Peik, E. (8 February 2016). "Single-Ion Atomic Clock with
9126:
8325:
4920:, World Scientific Series in 20th Century Physics, vol. 21, WORLD SCIENTIFIC, pp. 115–127, June 1998,
964:. The TAI time-scale is deferred by a few weeks as the average of atomic clocks around the world is calculated.
940:
Coordinated Universal Time (UTC) is the result of comparing clocks in national laboratories around the world to
412:
for electron energy level transitions in atoms using light. This technique is useful for creating much stronger
15009:
14836:
14182:
13158:
12059:
11856:"European GNSS (Galileo) Open Service Signal-In-Space Operational Status Definition, Issue 1.0, September 2015"
11394:
Ren, Wei; Li, Tang; Qu, Qiuzhi; Wang, Bin; Li, Lin; Lü, Desheng; Chen, Weibiao; Liu, Liang (18 December 2020).
9532:
Golovizin, A.; Tregubov, D.; Mishin, D.; Provorchenko, D.; Kolachevsky, N.; Kolachevsky, N. (25 October 2021).
6844:
Ren, Wei; Li, Tang; Qu, Qiuzhi; Wang, Bin; Li, Lin; Lü, Desheng; Chen, Weibiao; Liu, Liang (18 December 2020).
3958:
2373:
893:
769:
251:
10911:
5893:
819:
14363:
11862:
9511:
Schmittberger, Bonnie L. (21 April 2020). "A Review of Contemporary Atomic Frequency Standards". p. 13.
8659:
3780:. The Rydberg constant describes the energy levels in a hydrogen atom with the nonrelativistic approximation
3773:{\displaystyle R_{\infty }={\frac {m_{e}e^{4}}{8\varepsilon _{0}^{2}h^{3}c}}={\frac {m_{e}c\alpha ^{2}}{2h}}}
3109:
3088:
has led to a new generation of atomic clocks. These clocks are based on atomic transitions that emit visible
1264:. One way of doing this is to sweep the microwave oscillator's frequency across a narrow range to generate a
179:
165:
39:
17:
12749:
Geng, Yilong; Liu, Shiyu; Yin, Zi; Naik, Ashish; Prabhakar, Balaji; Rosenblum, Mendel; Vahdat, Amin (2018).
11505:
11033:
Ludlow, Andrew D; Boyd, Martin M; Ye, Jun; Peik, Ekkehard; Schmidt, Piet O (2015). "Optical atomic clocks".
9799:
7074:
5701:
1412:
clock performs when averaged over time to reduce the impact of noise and other short-term fluctuations (see
838:. This is because the uncertainty in the central caesium standard against which the secondary standards are
392:
13241:
8489:. This feature is assigned to the excitation of the Th nuclear isomeric state, whose energy is found to be
2708:
and aluminium. Considered the world's most precise clock in 2010 with a fractional frequency inaccuracy of
2337:
cooling of the microwave interaction region; the largest source of uncertainty in NIST-F1 is the effect of
960:
of Earth. The values of the rotating geoid and the TAI change slightly each month and are available in the
366:
8324:
Tiedau, J.; Okhapkin, M. V.; Zhang, K.; Thielking, J.; Zitzer, G.; Peik, E.; et al. (29 April 2024).
3953:
Space Passive Hydrogen Maser used in ESA Galileo satellites as a master clock for an onboard timing system
2998:
via a newly established phase-coherent frequency link connecting Paris and Braunschweig, using 1,415
326:(right) and Jack Parry (left) standing next to the world's first caesium-133 atomic clock in 1955, at the
14318:
14298:
14244:
14129:
13965:
13532:
11477:
10303:
9478:
9074:
6625:
5029:
3596:
Optical clocks are based on forbidden optical transitions in ions or atoms. They have frequencies around
3291:
1103:
Rubidium standard clocks are prized for their low cost, small size (commercial standards are as small as
11919:
11597:
8754:
6480:
Quessada, A.; Kovacich, R. P.; Courtillot, I.; Clairon, A.; Santarelli, G.; Lemonde, P. (2 April 2003).
4028:. The Robust Optical Clock Network will balance usability and accuracy as it is developed over 4 years.
1425:
733:
radiation. If the radiation is of the correct frequency, a number of atoms will transition to the other
152:
that measures time by monitoring the resonant frequency of atoms. It is based on atoms having different
14790:
14767:
13985:
13970:
13908:
13887:
12884:
12864:
12400:
10638:
7472:
6277:
Ludlow, A. D.; Boyd, M. M.; Ye, Jun; Peik, E.; Schmidt, P. O. (26 June 2015). "Optical atomic clocks".
5369:
3294:
for an elevation change of 2 cm (0.79 in) on planet Earth that according to JILA/NIST Fellow
2765:
1116:
969:
228:
10763:
Zheng, Xin; Dolde, Jonathan; Lochab, Varun; Merriman, Brett N.; Li, Haoran; Kolkowitz, Shimon (2022).
2929:. It is the large ratio between transition frequency and isomer lifetime which gives the clock a high
561:
14672:
14139:
13950:
13595:
13444:
13324:
12874:
12787:
8521:(4 September 2024). "Frequency ratio of the Th nuclear isomeric transition and the Sr atomic clock".
6279:
5944:
3918:
3914:
3379:
3177:
1931:
1112:
941:
885:
684:
that was 100 times smaller than an ordinary atomic clock and had a much smaller power consumption of
447:
381:
in 1949. This led to the first practical accurate atomic clock with caesium atoms being built at the
377:, and Isidor Rabi. He proposed the concept in 1945, which led to a demonstration of a clock based on
339:
280:
second) translates into an almost 30-centimetre (11.8 in) distance and hence positional error).
224:
161:
94:
12448:
10392:
Marti, G. Edward; Hutson, Ross B.; Goban, Akihisa; Campbell, Sara L.; Poli, Nicola; Ye, Jun (2018).
7599:
Chou, C. W.; Hume, D.; Koelemeij, J. C. J.; Wineland, D. J. & Rosenband, T. (17 February 2010).
6896:
6792:
2719:
In July 2019, NIST scientists demonstrated such an Al quantum logic clock with total uncertainty of
13294:
12007:
11690:
11623:
7846:"Systematic evaluation of a Yb optical clock by synchronous comparison between two lattice systems"
7075:"Proton Zemach radius from measurements of the hyperfine splitting of hydrogen and muonic hydrogen"
5782:
4771:; Parry, J. V. L. (1955). "An Atomic Standard of Frequency and Time Interval: A Cæsium Resonator".
4695:; Parry, J. V. L. (1955). "An Atomic Standard of Frequency and Time Interval: A Cæsium Resonator".
3892:, which depend critically on frequency and time standards. Atomic clocks are installed at sites of
2144:
1883:
932:
Data points representing atomic clocks around the world that define International Atomic Time (TAI)
11331:
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
11277:
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
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5969:
5752:
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1629:
14399:
14177:
14079:
13995:
13990:
13550:
13201:
12474:
10401:
9597:
9388:
8681:
8406:
8333:
6961:
5659:
Lutwak, Robert (26–29 November 2007). "The Chip-Scale Atomic Clock — Prototype Evaluation".
4324:
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3854:
1699:
1676:
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1381:
1215:
1167:
681:
542:
304:
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4360:
and is dominated by the uncertainty in the blackbody radiation (BBR) shift correction, which is
3006:) of telecom fibre-optic cable. The fractional uncertainty of the whole link was assessed to be
1207:(CIPM) added that the preceding definition refers to a caesium atom at rest at a temperature of
15071:
14667:
14620:
12904:
10087:
9742:"Ytterbium in quantum gases and atomic clocks: van der Waals interactions and blackbody shifts"
4106:
4082:
4070:
4046:
is a clock that automatically synchronizes itself by means of radio time signals received by a
3197:
3183:
3067:
1784:
1413:
778:
All-Russian Scientific Research Institute for Physical-Engineering and Radiotechnical Metrology
478:
467:
463:
417:
259:
12699:
11945:
11716:
10362:
6675:
6401:
5537:
5208:
5084:
5007:
3603:
1747:
1350:
1341:
One of the most important factors in a clock's performance is the atomic line quality factor,
15014:
14552:
13733:
13365:
13310:
13264:
13249:
12894:
12750:
11738:
7805:"Recent Advances Concerning the Sr Optical Lattice Clock at the National Time Service Center"
7551:"Press release: NIST 'Quantum Logic Clock' Rivals Mercury Ion as World's Most Accurate Clock"
6995:
5235:"NIST's Second 'Quantum Logic Clock' Based on Aluminum Ion is Now World's Most Precise Clock"
4159:
4154:
4110:
3969:
3492:
2735:
2631:
2594:
2517:
1721:
1055:
858:
over a few months. The uncertainty of the primary standard frequencies is around one part in
424:
206:, the unperturbed ground-state hyperfine transition frequency of the caesium-133 atom, to be
12029:
11275:
National Physical Laboratory (2011). "When should we change the definition of the second?".
9533:
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9421:
7579:
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7580:
NIST's Second 'Quantum Logic Clock' Based on Aluminum Ion is Now World's Most Precise Clock
7497:
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1856:
1836:
1727:
1656:
881:
668:
243:
227:(TAI), which is maintained by an ensemble of atomic clocks around the world. The system of
98:
11653:
11203:
10854:
Poli, N.; Oates, C. W.; Gill, P.; Tino, G. M. (13 January 2014). "Optical atomic clocks".
3358:
In 2018, JILA reported the 3D quantum gas clock reached a residual frequency precision of
3063:
3041:
8:
14589:
14384:
14239:
14104:
14056:
13490:
12949:
12909:
11972:"Galileo Initial Services – Open Service – Quarterly Performance Report Oct–Nov–Dec 2017"
9768:
6001:"Clock Experiment Shows a Fundamental Connection Between Energy Consumption and Accuracy"
3247:
3097:
2952:
and place the thorium ions in a solid, which allows billions of atoms to be interrogated.
2882:
2692:
2417:
2298:
1283:
1017:
Caesium has several properties that make it a good choice for an atomic clock. Whereas a
953:
800:
344:
335:
236:
13925:
12755:. 15th USENIX Symposium on Networked Systems Design and Implementation. pp. 81–94.
12608:
11342:
11329:
Gill, Patrick (28 October 2011). "When should we change the definition of the second?".
11288:
11153:
11136:
11110:
11056:
11003:
10949:
10877:
10790:
10733:
10607:
10536:
10424:
10249:
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10019:
9931:
9549:
9401:
9289:
9195:
8997:
8913:
8854:
8805:
8704:
8346:
8254:
8190:
8126:
8064:
8000:
7929:
7861:
7705:
7629:
7324:
7233:
7103:
7043:
6651:"The atomic clock with the world's best long-term accuracy is revealed after evaluation"
6499:
6355:
6302:
6244:
6176:
5464:
5294:
5170:
5110:
4972:
4784:
4708:
4569:
4522:
3282:
evaluated the absolute frequency uncertainty of a strontium-87 optical lattice clock at
2949:
822:. This list contains the frequency values and respective standard uncertainties for the
15086:
14700:
14564:
14338:
14262:
14192:
13439:
13417:
13284:
13108:
13079:
13014:
13007:
12628:
12594:
11428:
11362:
11308:
11257:
11223:
11122:
11068:
11042:
11015:
10989:
10961:
10889:
10863:
10810:
10776:
10719:
10688:
10654:
10619:
10556:
10522:
10444:
10410:
10269:
10235:
10199:
10165:
10036:
10005:
9985:
9951:
9917:
9815:
9579:
9512:
9354:
9309:
9275:
9025:
8930:
8899:
8887:
8724:
8690:
8532:
8415:
8298:
8274:
8240:
8210:
8176:
8146:
8112:
8084:
8050:
8020:
7986:
7941:
7886:
7845:
7826:
7725:
7691:
7649:
7615:
7427:
7401:
7344:
7310:
7253:
7219:
7115:
7089:
7055:
6872:
6845:
6824:
6562:
6536:
6462:
6367:
6341:
6314:
6288:
6256:
6230:
6196:
6027:"New experiment: Clocks consuming more energy are more accurate… 'cause thermodynamics"
5625:
5549:
5492:
5450:
5419:
5385:
5319:
5280:
5260:
5130:
5096:
4879:
4796:
4720:
4479:
4449:
4413:
4130:
4066:
3431:
The advantage of optical clocks can be explained by the statement that the instability
2756:
One theoretical possibility for improving the performance of atomic clocks is to use a
1609:
1261:
1163:
1159:
977:
917:
913:
804:
413:
359:
242:
The accurate timekeeping capabilities of atomic clocks are also used for navigation by
80:
56:
10064:
9179:
4437:
3305:
2730:
The accuracy of experimental quantum clocks has since been superseded by experimental
15034:
14613:
14412:
14277:
14094:
13799:
13794:
13520:
13399:
13299:
13152:
13055:
12959:
12756:
12632:
12620:
12559:
12342:
12196:
12160:
11485:
11433:
11415:
11354:
11300:
11249:
11241:
11158:
11072:
11019:
10965:
10893:
10814:
10802:
10764:
10745:
10692:
10680:
10672:
10623:
10560:
10548:
10436:
10273:
10261:
10226:
10191:
10041:
9943:
9819:
9690:
9583:
9571:
9563:
9486:
9413:
9358:
9344:
9313:
9301:
9215:
9207:
9045:"NIST Team Compares 3 Top Atomic Clocks With Record Accuracy Over Both Fiber and Air"
9029:
9017:
9009:
8981:
8935:
8868:
8819:
8716:
8550:
8433:
8358:
8278:
8266:
8214:
8202:
8138:
8088:
8076:
8012:
7945:
7891:
7873:
7830:
7729:
7717:
7641:
7419:
7336:
7257:
7245:
7059:
6877:
6710:
6554:
6481:
6454:
6371:
6318:
6260:
6200:
6188:
6103:
5859:
5849:
5496:
5484:
5476:
5423:
5411:
5403:
5324:
5306:
5134:
5122:
5037:
4984:
4929:
4884:
4866:
4738:
4583:
4534:
4453:
4417:
4405:
4401:
4347:
4094:
4055:
3977:
3949:
3340:
3224:
3149:
3071:
2982:
2904:
2700:
2279:
1315:
1279:
1086:
803:
in the device cannot be ignored. The standard is then considered in the framework of
785:
745:
708:
are currently (2022) designing atomic clocks that implement new developments such as
598:
459:
355:
348:
12752:
Exploiting a Natural Network Effect for Scalable, Fine-grained Clock Synchronization
11261:
10707:
10510:
10394:"Imaging Optical Frequencies with 100 μHz Precision and 1.1 μm Resolution"
10203:
9263:
8728:
8024:
7653:
7431:
7348:
7051:
6566:
6522:
6507:
6479:
6466:
4815:
4438:"James Clerk Maxwell, A treatise on electricity and magnetism, first edition (1873)"
3119:
The primary systems under consideration for use in optical frequency standards are:
2435:
525:
1900. The 1968 definition was updated in 2019 to reflect the new definitions of the
14557:
14303:
14282:
14234:
14197:
14010:
13638:
13626:
13454:
13422:
13254:
13123:
13039:
13029:
12944:
12612:
11887:
11423:
11407:
11366:
11346:
11312:
11292:
11237:
11233:
11148:
11140:
11060:
11007:
10953:
10881:
10794:
10737:
10668:
10664:
10611:
10540:
10448:
10432:
10428:
10253:
10187:
10183:
10031:
10023:
9955:
9935:
9845:
9807:
9553:
9405:
9336:
9293:
9199:
9001:
8925:
8917:
8858:
8809:
8712:
8708:
8542:
8523:
8429:
8425:
8354:
8350:
8303:
8258:
8231:
8194:
8167:
8150:
8130:
8068:
8041:
8008:
8004:
7933:
7881:
7865:
7816:
7783:
7713:
7709:
7637:
7633:
7411:
7332:
7328:
7241:
7237:
7119:
7107:
7047:
6941:
6867:
6857:
6823:
Jingfeng; Peng, Xiangkai; Wang, Yuzhu (2017). "Tests of Cold Atom Clock in Orbit".
6702:
6546:
6503:
6446:
6359:
6306:
6248:
6180:
5559:
5468:
5399:
5395:
5314:
5298:
5174:
5114:
4976:
4921:
4874:
4858:
4800:
4788:
4724:
4712:
4573:
4526:
4445:
4397:
4343:
4251:
4139:
3648:
3397:
have led to the world's first commercial rackmount optical clock in November 2023.
3105:
1780:
1239:
994:
550:
133:
11086:
9409:
9340:
8982:"Frequency ratio measurements at 18-digit accuracy using an optical clock network"
7600:
6650:
6584:
5661:
36th Annual Precise Time and Time Interval (PTTI) Systems and Applications Meeting
4326:
15076:
15050:
15019:
14917:
14780:
14288:
14267:
14099:
14071:
13836:
13700:
13565:
13542:
13510:
13462:
13449:
13412:
13394:
13024:
13019:
12511:
12254:
12228:
10119:"The most accurate clock ever built only loses one second every 15 billion years"
9534:"Compact magneto-optical trap of thulium atoms for a transportable optical clock"
7586:
7298:
7207:
5647:
3628:
3390:
3085:
2405:
2334:
2326:
2310:
2271:
1961:
1420:
1235:
1223:
1147:
696:
486:
471:
451:
409:
11561:
10885:
9264:"20 years of developments in optical frequency comb technology and applications"
8954:"Optical fibre link opens a new era of time-frequency metrology, 19 August 2016"
7937:
6363:
6252:
6051:
5511:"An atomic clock measured how general relativity warps time across a millimeter"
5438:
4902:
2356:
14879:
14720:
14705:
14677:
14652:
14644:
14584:
14343:
14333:
14272:
14229:
14061:
14051:
14020:
13920:
13892:
13775:
13643:
13633:
13432:
13304:
13274:
13259:
13044:
13002:
12997:
12869:
12616:
11144:
10933:
10798:
10615:
9328:
9005:
8546:
7869:
7415:
7111:
6676:"2016 Gets Longer with Extra Second Added to New Year Countdown | Sci-News.com"
6434:
6421:
5848:. Vol. 15. International Bureau of Weights and Measures. 2020. p. 9.
5563:
5472:
5118:
4925:
4179:
4174:
4047:
3902:
3898:
3081:
2930:
2761:
1458:. The limiting instability due to atom or ion counting statistics is given by
1243:
1128:
799:
It is important to note that at this level of accuracy, the differences in the
781:
713:
582:
401:
263:
247:
35:
12648:"JILA Atomic Clocks Measure Einstein's General Relativity at Millimeter Scale"
12282:"China's BeiDou navigation satellite, rival to US GPS, starts global services"
11064:
10741:
10544:
9811:
9769:"JILA Strontium Atomic Clock Sets New Records in Both Precision and Stability"
9297:
8262:
8198:
8134:
7073:
Dupays, Arnaud; Beswick, Alberto; Lepetit, Bruno; Rizzo, Carlo (August 2003).
6310:
5439:"Resolving the gravitational redshift across a millimetre-scale atomic sample"
5178:
1673:
is the averaging period. This means instability is smaller when the linewidth
1042:
Simplified block diagram of typical commercial cesium beam frequency reference
961:
15065:
15029:
14874:
14869:
14808:
14742:
14471:
14422:
14407:
14353:
14124:
13960:
13955:
13871:
13723:
13673:
13621:
13555:
13527:
13515:
13505:
13495:
13377:
13221:
13147:
13096:
13049:
12964:
12924:
12919:
12914:
12847:
12563:
12164:
11419:
11245:
10676:
9694:
9567:
9490:
9305:
9211:
9013:
8655:
7877:
7473:"What the world's most accurate clock can tell us about Earth and the cosmos"
7389:
6714:
5863:
5480:
5407:
5310:
5126:
4988:
4870:
4587:
4538:
4409:
4222:
One second in 13.8 billion years, the age of the universe, is an accuracy of
4189:
4184:
3873:
3231:
2793:
2751:
2739:
2684:
2678:
1208:
522:
396:
A caesium atomic clock from 1975 (upper unit) and battery backup (lower unit)
292:
13744:
11011:
10257:
9203:
7388:
Leute, J.; Huntemann, N.; Lipphardt, B.; Tamm, Christian (3 February 2016).
6946:
6933:
6550:
6089:
5583:"SA.45s CSAC Chip Scale Atomic Clock (archived version of the original pdf)"
5150:"Optical frequency combs: From frequency metrology to optical phase control"
4506:
14864:
14775:
14710:
14569:
14456:
14451:
14446:
14433:
13815:
13695:
13689:
13355:
13289:
13211:
13142:
12992:
12939:
12879:
12624:
11437:
11358:
11350:
11304:
11296:
11253:
11162:
10806:
10749:
10684:
10552:
10440:
10265:
10195:
10045:
9947:
9682:
9575:
9417:
9219:
9071:"Coping With Unusual Atomic Collisions Makes an Atomic Clock More Accurate"
9021:
8939:
8872:
8823:
8720:
8554:
8437:
8362:
8270:
8206:
8142:
8080:
8016:
7895:
7721:
7645:
7423:
7340:
7249:
6881:
6558:
6458:
6215:
6192:
6138:
5488:
5415:
5328:
4888:
4578:
4553:
4530:
4213:
have demonstrated a clock that will not lose a second in 300 billion years.
4169:
4069:
predicts that clocks tick slower deeper in a gravitational field, and this
3996:
3931:
3212:
3059:
2770:
1603:
1330:
1272:
1050:
beam frequency reference, timing signals are derived from a high stability
734:
405:
370:
319:
288:
232:
153:
12503:
11411:
10336:"JILA's 3-D Quantum Gas Atomic Clock Offers New Dimensions in Measurement"
10088:"Getting Better All the Time: JILA Strontium Atomic Clock Sets New Record"
9180:"Optical frequency combs: Coherently uniting the electromagnetic spectrum"
8307:
8293:
7788:
7771:
7390:"Frequency Comparison of Yb Ion Optical Clocks at PTB and NPL via GPS PPP"
6862:
5639:
5149:
5085:"On a definition of the SI second with a set of optical clock transitions"
4955:
Hellwig, Helmut; Evenson, Kenneth M.; Wineland, David J. (December 1978).
4846:
4611:
4552:
Rabi, I. I.; Zacharias, J. R.; Millman, S.; Kusch, P. (15 February 1938).
3853:— is also difficult. Another hurdle involves improving the uncertainty in
3215:
were able to stay in synchrony with each other at a precision of at least
912:
These methods of time comparison must make corrections for the effects of
15024:
14940:
14932:
14854:
14798:
14757:
14579:
14574:
14219:
14202:
14134:
14114:
14000:
13882:
13825:
13705:
13683:
13590:
13575:
13370:
13350:
13340:
13269:
13226:
13206:
13135:
12954:
12856:
12673:"An Ultra-Precise Clock Shows How to Link the Quantum World With Gravity"
10828:
10765:"Differential clock comparisons with a multiplexed optical lattice clock"
8664:
7094:
7027:
6403:
Local oscillator induced instabilities in trapped ion frequency standards
4862:
4768:
4692:
4149:
4144:
4051:
4043:
4037:
3893:
3586:{\displaystyle \sigma (\tau )={\frac {1}{2\pi f{\sqrt {NT_{int}\tau }}}}}
3113:
3078:
2285:
The next step in atomic clock advances involves going from accuracies of
1776:
1334:
1219:
839:
808:
538:
386:
323:
108:
31:
12312:"China puts final satellite for Beidou network into orbit – state media"
9939:
9716:"Blackbody Radiation Shift: Quantum Thermodynamics Will Redefine Clocks"
8921:
8072:
7297:
Huntemann, N.; Sanner, C.; Lipphardt, B.; Tamm, Chr. (8 February 2016).
6703:"How the U.S. Built the World's Most Ridiculously Accurate Atomic Clock"
3984:
satellite. The masers are about 2 feet long with a weight of 40 pounds.
2345:
2301:. To do so, scientists must demonstrate the accuracy of clocks that use
14983:
14945:
14859:
14831:
14594:
14547:
14531:
14417:
14323:
14144:
14005:
13975:
13913:
13600:
13500:
13407:
13382:
13185:
12969:
12129:
10027:
8227:
7821:
7804:
7394:
IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control
6528:
IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control
6438:
IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control
6385:
6139:"NIST Primary Frequency Standards and the Realization of the SI Second"
5302:
4956:
4612:"NIST Primary Frequency Standards and the Realization of the SI Second"
4334:
3923:
3093:
2936:
A nuclear energy transition offers the following potential advantages:
1265:
905:
789:
482:
267:
34:. For the clock as a measure for risk of catastrophic destruction, see
11395:
11177:"Vector Atomic brings world's first rackmount optical clock to market"
10957:
10708:"Atomic clock performance enabling geodesy below the centimetre level"
9903:"An optical lattice clock with accuracy and stability at the 10 level"
9558:
6934:"With better atomic clocks, scientists prepare to redefine the second"
6450:
6184:
4980:
3275:
improved optical lattice clock was described in a 2014 Nature paper.
1275:
to apply feedback to control long-term drift in the radio frequency.
1038:
14960:
14491:
14328:
14212:
14187:
14167:
14084:
14036:
14030:
14015:
13663:
13580:
13216:
13128:
13103:
13084:
12974:
10507:
9329:"Towards a High-Performance Optical Clock Based on Single 171-Yb Ion"
8037:
6390:, pp. 221–230. Proceedings of the IEEE, Vol. 54, No 2, February 1966.
4792:
4716:
3343:
3169:
3161:
3153:
3145:
3018:
2999:
2860:) that an experimental optical nuclear clock can now be constructed.
2789:
2705:
2696:
2361:
2306:
2302:
1375:
1247:
1091:
1074:
752:(PTB) in Germany, the National Institute of Standards and Technology
741:
730:
705:
687:
614:
606:
602:
594:
566:
157:
137:
12424:"Working Overtime: NASA's Deep Space Atomic Clock Completes Mission"
10589:"Optical clock technologies for global navigation satellite systems"
8863:
8838:
8814:
8789:
3482:{\displaystyle \sigma \propto {\frac {\Delta f}{f}}{\frac {1}{S/N}}}
420:
and others managed to reduce the light shifts to acceptable levels.
14965:
14955:
14884:
14737:
14526:
14506:
14348:
14254:
14154:
13945:
13940:
13231:
13074:
12984:
12842:
12832:
12599:
11228:
11127:
10994:
10907:
10781:
10724:
10659:
10527:
10415:
10308:
10240:
10170:
9683:"How Super-Precise Atomic Clocks Will Change the World in a Decade"
9531:
9517:
9280:
8904:
8695:
8537:
8420:
8245:
8181:
8117:
8055:
7696:
7406:
7315:
7224:
6829:
5554:
5455:
5390:
5101:
4124:
3889:
2369:
1311:
1022:
1018:
865:
823:
761:
757:
709:
534:
430:
After 1956, atomic clocks were studied by many groups, such as the
11047:
10868:
10010:
9922:
7991:
7620:
7525:"The most precise atomic clock ever made is a cube of quantum gas"
7206:
Brewer, S.; Chen, J.-S.; Hankin, A.; Clements, E. (15 July 2019).
6541:
6409:. Precise Time and Time Interval (PTTI) Conference. Redondo Beach.
6346:
6293:
6235:
5285:
4058:. Many governments operate transmitters for timekeeping purposes.
1095:
A team of United States Air Force airmen carrying a rubidium clock
928:
14975:
14894:
14846:
14636:
14521:
14511:
14441:
14313:
14224:
14089:
13570:
13560:
13482:
13473:
13458:
13345:
13190:
13113:
12822:
11509:
6214:
Poli, N.; Oates, C. W.; Gill, P.; Tino, G. M. (13 January 2014).
5004:"Atomichron: The Atomic Clock from Concept to Commercial Product"
3938:
3299:
3173:
3165:
2330:
2245:
1323:
1307:
1133:
1047:
1026:
1011:
1007:
1003:
889:
378:
300:
284:
84:
13360:
7911:"Nuclear laser spectroscopy of the 3.5 eV transition in Th"
6904:
ERASMUS Centre – Directorate of Human Spaceflight and Operations
3129:
atoms packed in a three-dimensional quantum gas optical lattice.
14912:
14752:
14662:
14516:
14466:
14461:
13668:
12827:
10978:
10639:"Al+27 Quantum-Logic Clock with a Systematic Uncertainty below
9178:
Diddams, Scott A.; Vahala, Kerry; Udem, Thomas (17 July 2020).
8518:
7208:"Al Quantum-Logic Clock with a Systematic Uncertainty below 10"
6076:
5370:"Al+27 Quantum-Logic Clock with a Systematic Uncertainty below
5059:"New Atomic Clocks May Someday Redefine the Length of a Second"
3946:
GPS, the GLONASS time scale implements leap seconds, like UTC.
3386:
3295:
3157:
3134:
1327:
1268:
1184:
897:
578:
570:
530:
526:
169:
12725:"TimeChainZ – Regulatory Reporting For High-Frequency Trading"
12475:"DARPA to launch programme for creating optical atomic clocks"
10058:
9900:
8101:
6585:"Ultraprecise atomic clock poised for new physics discoveries"
5970:"NIST Launches a New U.S. Time Standard: NIST-F2 Atomic Clock"
4305:"NIST Launches a New U.S. Time Standard: NIST-F2 Atomic Clock"
2333:. The increase in precision from NIST-F1 to NIST-F2 is due to
15004:
14999:
14950:
14687:
14657:
14496:
14308:
14207:
14162:
13678:
13427:
13118:
13066:
12552:"These Physicists Watched a Clock Tick for 14 Years Straight"
12185:
China Satellite Navigation Office, Version 2.0, December 2013
11562:"The Role of GPS in Precise Time and Frequency Dissemination"
8660:"A nuclear clock prototype hints at ultraprecise timekeeping"
7601:"Frequency Comparison of Two High-Accuracy Al Optical Clocks"
6626:"Accuracy of the NPL caesium fountain clock further improved"
5792:. Consultative Committee for Time and Frequency. 20 May 2019.
5783:"Mise en pratique for the definition of the second in the SI"
4021:
3416:
3089:
3054:
2814:
ion could provide a total fractional frequency inaccuracy of
1626:
is the number of atoms or ions used in a single measurement,
1319:
1252:
1189:
Since 1968, the SI has defined the second as the duration of
957:
868:
149:
70:
11274:
11107:
10304:"A Fermi-degenerate three-dimensional optical lattice clock"
10219:"A Fermi-degenerate three-dimensional optical lattice clock"
10147:
9983:
8678:
8323:
8163:
7296:
6762:"NIST launches a new US time standard: NIST-F2 atomic clock"
6521:
Westergaard, P. G.; Lodewyck, J.; Lemonde, P. (March 2010).
6074:
5258:
4054:
for every 300 kilometres (186 mi) of distance from the
3838:{\displaystyle E_{n}\approx -{\frac {R_{\infty }ch}{n^{2}}}}
3014:, making comparisons of even more accurate clocks possible.
2716:, it offers more than twice the precision of the original.
2348:
by the International Bureau of Weights and Measures (BIPM).
1058:
to obtain microwaves at the frequency of the caesium atomic
556:
434:(formerly the National Bureau of Standards) in the USA, the
14907:
14902:
14747:
14724:
14605:
14501:
14486:
14476:
13930:
13867:
12817:
12803:
12347:
12122:"ESA Adds System Time Offset to Galileo Navigation Message"
7976:
7387:
6969:
6582:
4656:
Time and frequency measurement at NIST: The first 100 years
4352:
Currently, the type B fractional uncertainty in NIST-F1 is
4078:
3279:
3188:
3046:
3022:
3003:
2978:
2974:
2250:
1178:
765:
692:
610:
13936:
International Earth Rotation and Reference Systems Service
12583:
12449:"DARPA Aims for More Accurate Atomic Clock to Replace GPS"
11201:
8402:
7299:"Single-Ion Atomic Clock with 3×10 Systematic Uncertainty"
6520:
6052:"A Cesium Beam Frequency Reference for Severe Environment"
5535:
5436:
4008:
In April 2015, NASA announced that it planned to deploy a
3298:
is "getting really close to being useful for relativistic
2379:
1347:, which is defined as the ratio of the absolute frequency
124:
14481:
12153:"Trying to Get Somewhere? An Atomic Clock May Be Helping"
10705:
8978:
8762:. EMMI Workshop: The Th Nuclear Isomer Clock. Darmstadt.
7598:
7498:"New type of atomic clock keeps time even more precisely"
7072:
7026:
4610:
Lombardi, M. A.; Heavner, T. P.; Jefferts, S. R. (2007).
4551:
3517:
is the signal-to-noise ratio. This leads to the equation
2963:
German National Metrology Institute (PTB) in Braunschweig
2688:
972:
does not deviate from UTC noon by more than 0.9 seconds.
830:; however, the uncertainties in the list are one part in
255:
12645:
12376:"NASA Technology Missions Launch on SpaceX Falcon Heavy"
12229:"China GPS rival Beidou starts offering navigation data"
10762:
10636:
10391:
10216:
9099:
9042:
8294:"Shedding Light on the Thorium-229 Nuclear Clock Isomer"
7681:
7205:
6523:"Minimizing the Dick effect in an optical lattice clock"
5699:
5673:
5367:
5341:
2278:, and laser cooling of atoms, which was demonstrated by
489:
released the 5060 rack-mounted model of caesium clocks.
12772:
12514:, National Institute of Standards and Technology, 2010.
12255:"China's Beidou GPS-substitute opens to public in Asia"
11824:
11822:
10585:
9846:"NIST Ytterbium Atomic Clocks Set Record for Stability"
9479:"The most accurate clock ever made runs on quantum gas"
6734:
5344:"NIST's Quantum Logic Clock Returns to Top Performance"
4851:
Journal of Research of the National Bureau of Standards
4609:
3246:
research team would differ less than a second over the
3191:'s 2013 pair of ytterbium optical lattice atomic clocks
3053:
The idea of trapping atoms in an optical lattice using
2398:
1419:
The instability of an atomic clock is specified by its
1021:
atom moves at 1,600 m/s at room temperature and a
481:
sold more than 50 units of the first atomic clock, the
307:
of 1 second in 300 million years (relative uncertainty
11450:
10479:"JILA Team Invents New Way to 'See' the Quantum World"
9447:
Physikalisch-Technische Bundesanstalt, Division Optics
9234:"Femtosecond-Laser Frequency Combs for Optical Clocks"
8756:
Concepts and Prospects for a Thorium-229 Nuclear Clock
8442:
a narrow, laser-linewidth-limited spectral feature at
7772:"Viewpoint: Ion Clock Busts into New Precision Regime"
5158:
IEEE Journal of Selected Topics in Quantum Electronics
4954:
4081:
measured the difference in the passage of time due to
3908:
3234:
atoms, a new record for stability with a precision of
2907:
is greater than the nuclear excitation energy, giving
497:
In 1968, the duration of the second was defined to be
11912:
9333:
2021 IEEE 6th Optoelectronics Global Conference (OGC)
8888:"A clock network for geodesy and fundamental science"
8886:
Pottie, Paul-Eric; Grosche, Gesine (19 August 2016).
6599:"What Are Optical Clocks and Why Are They Important?"
6514:
6487:
Journal of Optics B: Quantum and Semiclassical Optics
3786:
3657:
3606:
3523:
3495:
3437:
3262:
better than previous experiments. The clocks rely on
2184:
2147:
1973:
1934:
1886:
1859:
1839:
1793:
1750:
1730:
1702:
1679:
1659:
1632:
1612:
1585:
1467:
1428:
1384:
1353:
297:
National Institute of Standards and Technology (NIST)
182:
11819:
11715:. GPS Operations Center. 30 May 2012. Archived from
11560:
Dana, Peter H.; Penro, Bruce M. (July–August 1990).
10511:"Entanglement on an optical atomic-clock transition"
8516:
4816:"President Piñera Receives ESO's First Atomic Clock"
4120:
3876:, must be developed before the second is redefined.
3315:
the same 3D lattice yielded a residual precision of
818:(BIPM) provides a list of frequencies that serve as
219:
when expressed in the unit Hz, which is equal to s.
12697:
9708:
6482:"The Dick effect for an optical frequency standard"
6272:
6270:
5725:
5577:
5575:
5573:
4554:"A New Method of Measuring Nuclear Magnetic Moment"
3651:would involve fixing the value to a certain value:
3141:are used to cool the atoms for improved precision.
2321:accuracy was first reached at the United Kingdom's
1271:at the detector. The detector's signal can then be
27:
Clock that monitors the resonant frequency of atoms
13866:
11476:
9775:. National Institute of Standards and Technology.
9262:Fortier, Tara; Baumann, Esther (6 December 2019).
8383:, and the fluorescence lifetime in the crystal is
6473:
6162:
5028:
4662:. IEEE International Frequency Control Symposium.
4442:Landmark Writings in Western Mathematics 1640–1940
3837:
3772:
3615:
3585:
3501:
3481:
3393:2022. These technologies originally funded by the
2745:
2230:{\displaystyle \sigma _{y,\,{\rm {atoms}}}(\tau )}
2229:
2170:
2130:
1952:
1920:
1872:
1845:
1825:
1763:
1736:
1712:
1688:
1665:
1645:
1618:
1594:
1568:
1450:
1393:
1366:
874:
543:2019 revision of the International System of Units
295:. The primary standard for the United States, the
198:
12247:
11964:
11713:"Notice Advisory to Navstar Users (NANU) 2012034"
10853:
9177:
6413:
6213:
5147:
4507:"Space Quantization in a Gyrating Magnetic Field"
4031:
3623:of typically 1 Hz, so the Q-factor is about
15063:
11938:
11032:
10936:(12 January 2014). "Timekeepers of the future".
10059:JILA Scientific Communications (21 April 2015).
9876:"New atomic clock sets the record for stability"
7972:
7970:
7502:MIT News | Massachusetts Institute of Technology
6276:
6267:
5570:
5538:"Roadmap towards the redefinition of the second"
1724:) is larger. The stability improves as the time
1205:International Committee for Weights and Measures
11977:. European GNSS Service Centre. 28 March 2018.
9473:
9471:
9327:Zuo, Yani; Dai, Shaoyao; Chen, Shiying (2021).
9062:
8367:The nuclear resonance for the Th ions in Th:CaF
8221:
6428:
5728:"Ion Optical Clocks and Precision Measurements"
3991:satellite navigation system is operated by the
3126:neutral atoms trapped in an optical lattice and
1218:, the definition of every base unit except the
744:laboratories maintain atomic clocks: including
338:proposed measuring time with the vibrations of
311:). NIST-F2 was brought online on 3 April 2014.
223:This definition is the basis for the system of
12748:
12334:
9381:"Single-atom optical clock with high accuracy"
9261:
9100:sarah.henderson@nist.gov (29 September 2020).
8319:
8317:
8095:
4279:"The world is doing away with the leap second"
3270:and trapped in an optical lattice. A laser at
2956:
2885:, this pathway is energetically prohibited in
2683:In March 2008, physicists at NIST described a
2249:The historical accuracy of atomic clocks from
1333:. However all of these are easily affected by
432:National Institute of Standards and Technology
164:. This phenomenon serves as the basis for the
14621:
13852:
13774:
13760:
12788:
12646:sarah.henderson@nist.gov (16 February 2022).
11830:"Galileo's contribution to the MEOSAR system"
9986:"Systematic evaluation of an atomic clock at
9510:
8885:
8672:
7967:
5700:sarah.henderson@nist.gov (11 December 2019).
5612:
5610:
5261:"Systematic evaluation of an atomic clock at
5148:Ye, J.; Schnatz, H.; Hollberg, L. W. (2003).
3400:
3385:In July 2022, atomic optical clocks based on
2141:This expression shows the same dependence on
1826:{\displaystyle \sigma _{y}^{\rm {LO}}(\tau )}
1146:seconds. This makes hydrogen masers good for
423:Ramsey developed a method, commonly known as
11793:
10829:"BIPM Time Coordinated Universal Time (UTC)"
9468:
9440:"On Secondary Representations of the Second"
8285:
7843:
7490:
6091:International Bureau of Weights and Measures
5813:International Bureau of Weights and Measures
5674:sarah.henderson@nist.gov (2 December 2020).
3509:is the instability, f is the frequency, and
3376:International Bureau of Weights and Measures
1052:voltage-controlled quartz crystal oscillator
923:
890:Global Navigation Satellite System (GLONASS)
816:International Bureau of Weights and Measures
12504:"How Accurate is a Radio Controlled Clock?"
11451:andrew.novick@nist.gov (11 February 2010).
11393:
8314:
8157:
7745:"Optical Clock Precision Breaks New Ground"
7363:"Ytterbium 171 ion (688 THz) BIPM document"
7272:"Ytterbium 171 ion (642 THz) BIPM document"
6843:
6821:
4605:
4603:
4601:
4599:
4597:
4003:
3144:Atomic systems under consideration include
1318:, the vibrations of springs and gears in a
1173:
663:
492:
231:that is the basis of civil time implements
14628:
14614:
13859:
13845:
13767:
13753:
12795:
12781:
11948:. European GNSS Agency. 15 December 2016.
11482:TIME—From Earth Rotation to Atomic Physics
11204:"Transportable Optical Lattice Clock with
9868:
9791:
9326:
9043:sarah.henderson@nist.gov (24 March 2021).
8510:
8387:, corresponding to an isomer half-life of
8031:
5998:
5945:"Temperature and Kinetic Energy – Answers"
5607:
5034:TIME—From Earth Rotation to Atomic Physics
4957:"Time, frequency and physical measurement"
4767:
4691:
4320:
4318:
3070:in 2005. One of 2012's Physics Nobelists,
1229:
55:
30:For a clock updated by radio signals, see
12598:
12221:
11687:"NOTICE ADVISORY TO NAVSTAR USERS (NANU)"
11654:"NAVSTAR GPS User Equipment Introduction"
11559:
11427:
11227:
11152:
11126:
11046:
10993:
10867:
10780:
10723:
10658:
10526:
10414:
10239:
10169:
10035:
10009:
9921:
9838:
9557:
9516:
9279:
8929:
8903:
8862:
8813:
8694:
8536:
8419:
8244:
8180:
8116:
8054:
7990:
7902:
7885:
7820:
7787:
7695:
7619:
7405:
7314:
7223:
7093:
6945:
6931:
6871:
6861:
6828:
6540:
6393:
6378:
6345:
6332:Poli, N (2014). "Optical atomic clocks".
6292:
6234:
5833:
5805:Explanatory Supplement of BIPM Circular T
5652:
5553:
5454:
5389:
5342:sarah.henderson@nist.gov (15 July 2019).
5318:
5284:
5100:
5036:. Weinheim: Wiley-VCH. pp. 191–195.
4878:
4577:
4297:
3860:In the Report of the 25th meeting of the
2196:
1985:
1479:
1378:to the linewidth of the resonance itself
719:
557:Metrology advancements and optical clocks
354:During the 1930s, the American physicist
14390:International Commission on Stratigraphy
12523:
12498:
12496:
12401:"NASA Activates Deep Space Atomic Clock"
11498:
11453:"Help with WWVB Radio Controlled Clocks"
11396:"Development of a space cold atom clock"
10932:
10360:
9800:"Precise atomic clock may redefine time"
9656:"PTB Optical nuclear spectroscopy of Th"
9374:
9372:
9370:
9368:
8326:"Laser Excitation of the Th-229 Nucleus"
7909:Peik, E.; Tamm, Chr. (15 January 2003).
7908:
7522:
6846:"Development of a space cold atom clock"
6735:robin.materese@nist.gov (9 April 2019).
6387:Statistics of Atomic Frequency Standards
6024:
5676:"Success Story: Chip-Scale Atomic Clock"
5141:
5082:
4652:
4594:
4311:. 3 April 2014 – via www.nist.gov.
4276:
3948:
3409:
3304:
3182:
3040:
2355:
2266:, and the last clock had an accuracy of
2244:
1653:is the time required for one cycle, and
1408:that do not have a universal frequency.
1226:relies on the definition of the second.
1179:International System of Units definition
1132:
1090:
1037:
927:
667:
560:
391:
318:
235:to allow clock time to track changes in
128:The master atomic clock ensemble at the
123:
12421:
12373:
12150:
11324:
11322:
10338:(Press release). NIST. 5 October 2017.
10116:
9630:"PTB Time and Frequency Department 4.4"
9068:
8753:Peik, Ekkehard (25–27 September 2012).
8654:
8291:
7548:
6897:"Atomic clock ensemble in space (ACES)"
6578:
6576:
6422:Characterization of Frequency Stability
5891:
5777:
5775:
5773:
5726:david.hume@nist.gov (29 October 2016).
5232:
4315:
4165:Primary Atomic Reference Clock in Space
2380:Secondary representations of the second
1077:frequency of the hyperfine transition.
820:secondary representations of the second
270:or 1 billionth of a second (10 or
199:{\displaystyle \Delta \nu _{\text{Cs}}}
14:
15064:
13790:Synchronous Motor and the Master Clock
12403:. NASA Jet Propulsion Laboratory (JPL)
12340:
11807:from the original on 13 September 2019
11598:"GPS time accurate to 100 nanoseconds"
9965:from the original on 17 September 2016
9257:
9255:
8836:
8787:
7008:from the original on 23 September 2015
6623:
6096:The International System of Units (SI)
5920:"NIST-F1 Cesium Fountain Atomic Clock"
5917:
5658:
5083:Lodewyck, Jérôme (16 September 2019).
5001:
4844:
4435:
4383:
4327:"First Accuracy Evaluation of NIST-F2"
2925:ions a long half-life on the order of
640:between atomic ensembles separated by
613:demonstrated a strontium clock with a
283:The main variety of atomic clock uses
14609:
13840:
13748:
12776:
12493:
12355:from the original on 10 December 2015
12292:from the original on 27 December 2018
12279:
12261:from the original on 27 December 2012
12060:"Rb Atomic Frequency Standard (RAFS)"
11578:from the original on 15 December 2012
11549:from the original on 25 October 2012.
11530:
10373:from the original on 14 December 2017
10301:
9722:from the original on 18 December 2012
9378:
9365:
8960:from the original on 14 November 2016
8559:The transition frequency between the
7742:
6976:from the original on 19 November 2011
6913:from the original on 25 December 2015
6075:National Physical Laboratory (2019).
5999:University, Lancaster (11 May 2021).
5842:BIPM Annual Report on Time Activities
5790:Bureau International Poids et Mesures
4673:from the original on 29 December 2019
4634:from the original on 12 February 2021
4480:"Milestones:First Atomic Clock, 1948"
4061:
2760:energy transition (between different
2270:. The clocks were the first to use a
1401:. Atomic resonance has a much higher
882:Global Navigational Satellite Systems
776:(NPL) in the United Kingdom, and the
750:Physikalisch-Technische Bundesanstalt
436:Physikalisch-Technische Bundesanstalt
13729:
12698:mark.esser@nist.gov (18 June 2020).
12280:Varma, K. J. M. (27 December 2018).
12235:from the original on 3 February 2012
12209:from the original on 29 October 2020
12102:from the original on 28 October 2020
12070:from the original on 6 November 2018
11952:from the original on 15 January 2021
11900:from the original on 6 November 2016
11666:from the original on 21 October 2013
11484:. Weinheim: Wiley-VCH. p. 266.
11328:
11319:
10835:from the original on 4 November 2013
10567:from the original on 4 February 2021
10129:from the original on 27 January 2018
9882:from the original on 2 February 2014
9797:
9779:from the original on 8 December 2014
9662:from the original on 7 November 2017
9636:from the original on 7 November 2017
8769:from the original on 10 October 2021
8752:
7802:
7769:
7129:from the original on 14 January 2019
6680:Breaking Science News | Sci-News.com
6573:
6399:
6331:
6136:
5770:
5206:
4918:Spectroscopy With Coherent Radiation
4749:from the original on 17 October 2017
4504:
4431:
4429:
4427:
4277:Brumfiel, Geoff (27 November 2022).
4258:from the original on 7 December 2010
4196:
4100:
3290:, which corresponds to a measurable
3123:single ions isolated in an ion trap;
2699:. This clock was compared to NIST's
12639:
12341:Landau, Elizabeth (27 April 2015).
11984:from the original on 26 August 2019
11926:from the original on 29 August 2019
10476:
10361:Phillips, Julie (10 October 2017).
10342:from the original on 5 October 2017
10316:from the original on 6 October 2017
10098:from the original on 9 October 2015
10085:
9856:from the original on 23 August 2013
9826:from the original on 25 August 2013
9766:
9252:
9127:"The Prize's Legacy: Dave Wineland"
7751:from the original on 26 August 2019
6803:from the original on 9 October 2015
6790:
5980:from the original on 19 August 2016
5873:from the original on 14 August 2021
5822:from the original on 9 October 2022
5618:"Chip-Scale Atomic Devices at NIST"
4113:is only accurate to a millisecond.
3993:China National Space Administration
3980:atomic clocks for onboard timing.
3909:Global navigation satellite systems
3642:
2731:
577:Technological developments such as
546:
24:
12151:Belcher, David (1 November 2021).
11801:"Galileo begins serving the globe"
11781:from the original on 14 April 2016
11634:from the original on 21 March 2017
10363:"The Clock that Changed the World"
9680:
9437:
9379:Oskay, W. H.; et al. (2006).
7803:Wang, Yebing (27 September 2018).
7796:
7763:
7736:
7675:
7523:Woodward, Aylin (5 October 2017).
7369:from the original on 2 August 2022
7278:from the original on 2 August 2022
7187:from the original on 2 August 2022
6694:
6130:
5076:
3962:Global Navigation Satellite System
3939:GLObal NAvigation Satellite System
3811:
3663:
3607:
3447:
2211:
2208:
2205:
2202:
2199:
2032:
2029:
1997:
1994:
1991:
1988:
1808:
1805:
1680:
1586:
1516:
1494:
1491:
1488:
1485:
1482:
1451:{\displaystyle \sigma _{y}(\tau )}
1385:
1301:
1010:clock, developed in 1999, and the
474:and Frequency & Time Systems.
389:in collaboration with Jack Parry.
183:
25:
15103:
14110:Discrete time and continuous time
12422:Hartono, Naomi (1 October 2021).
12040:from the original on 6 March 2019
10914:from the original on 26 June 2015
10302:Beall, Abigail (5 October 2017).
9610:from the original on 27 June 2015
9153:"Optical Lattices: Webs of Light"
9102:"Optical Lattices: Webs of Light"
8837:Gibney, Elizabeth (2 June 2015).
8788:Gibney, Elizabeth (2 June 2015).
8477:) that decays with a lifetime of
8391:for a nucleus isolated in vacuum.
7663:from the original on 21 July 2011
7470:
7161:from the original on 4 March 2016
6932:Cartlidge, Edwin (1 March 2018).
6772:from the original on 6 April 2014
6583:University of Wisconsin-Madison.
5188:from the original on 6 March 2016
4907:(1989, The Nobel Foundation) and
4826:from the original on 1 April 2014
4424:
4015:
3036:
2672:
2317:The goal of an atomic clock with
1152:very long baseline interferometry
724:
385:in the United Kingdom in 1955 by
14035:
14029:
13728:
13719:
13718:
12742:
12717:
12691:
12665:
12577:
12549:
12543:
12517:
12467:
12441:
12415:
12393:
12367:
12304:
12273:
12189:
12178:
12144:
12114:
12082:
12052:
12034:Safran - Navigation & Timing
12022:
11996:
11880:
11848:
11836:from the original on 9 July 2016
11761:
11749:from the original on 2 June 2018
11731:
11705:
11679:
11646:
11616:
11604:from the original on 14 May 2012
11590:
11553:
11524:
11470:
11444:
11387:
11373:
11268:
11195:
11169:
11101:
11079:
11026:
10972:
10926:
10900:
10847:
10821:
10756:
10699:
10630:
10579:
10501:
10489:from the original on 17 May 2019
10470:
10458:from the original on 2 June 2020
10385:
10354:
10328:
10295:
10210:
10141:
10117:Vincent, James (22 April 2015).
10110:
10079:
10052:
9977:
9894:
9760:
9734:
9674:
9648:
9622:
9590:
9525:
9504:
9431:
9320:
9226:
9171:
9145:
9119:
9093:
9081:from the original on 5 June 2011
9036:
8972:
8946:
8879:
8830:
8781:
8746:
8648:
8573:excited state is determined as:
8396:
8292:Thirolf, Peter (29 April 2024).
7561:from the original on 2 June 2017
6700:
6165:Review of Scientific Instruments
6119:from the original on 4 June 2021
4845:Ramsey, N. F. (September 1983).
4450:10.1016/b978-044450871-3/50125-x
4386:"History of early atomic clocks"
4123:
4077:In 2021 a team of scientists at
3943:Russian Aerospace Defence Forces
3862:Consultative Committee for Units
2376:are examples of clock research.
1033:
358:built equipment for atomic beam
299:'s caesium fountain clock named
229:Coordinated Universal Time (UTC)
12374:Northon, Karen (25 June 2019).
7837:
7592:
7573:
7542:
7516:
7464:
7438:
7381:
7355:
7290:
7264:
7199:
7173:
7141:
7066:
7020:
6988:
6954:
6925:
6894:
6888:
6837:
6815:
6784:
6754:
6728:
6668:
6643:
6624:Laboratory, National Physical.
6617:
6591:
6425:, NBS Technical Note 394, 1970.
6325:
6207:
6156:
6083:
6079:. National Physical laboratory.
6068:
6044:
6025:Vleugels, Anouk (23 May 2021).
6018:
5992:
5962:
5937:
5911:
5894:"NIST-F1 Cesium Fountain Clock"
5885:
5796:
5745:
5719:
5693:
5667:
5529:
5503:
5430:
5361:
5335:
5252:
5226:
5200:
5056:
5050:
5022:
4995:
4948:
4895:
4838:
4808:
4761:
4731:
4685:
4646:
4384:Ramsey, Norman F. (June 2006).
4216:
4211:University of Wisconsin-Madison
4203:
3879:
3867:
3380:International Atomic Time (TAI)
2903:ions, as the second and higher
2881:atoms decay in microseconds by
2746:Nuclear (optical) clock concept
1953:{\displaystyle 0.4<d<0.7}
1606:linewidth of the clock system,
886:Global Positioning System (GPS)
875:Synchronization with satellites
456:Bureau International de l'Heure
14183:History of timekeeping devices
12524:lombardi (24 September 2009).
12318:. 23 June 2020. Archived from
12030:"Passive Hydrogen Maser (PHM)"
11238:10.1103/PhysRevLett.118.073601
10669:10.1103/physrevlett.123.033201
10433:10.1103/PhysRevLett.120.103201
10188:10.1103/PhysRevLett.116.063001
9767:Ost, Laura (22 January 2014).
8713:10.1103/PhysRevLett.118.042501
8430:10.1103/PhysRevLett.133.013201
8371:is measured at the wavelength
8355:10.1103/PhysRevLett.132.182501
8009:10.1103/PhysRevLett.108.120802
7714:10.1103/PhysRevLett.123.033201
7638:10.1103/PhysRevLett.104.070802
7549:Swenson, Gayle (7 June 2010).
7333:10.1103/PhysRevLett.116.063001
7242:10.1103/PhysRevLett.123.033201
6791:Ost, Laura (4 February 2014).
5400:10.1103/physrevlett.123.033201
4739:"60 years of the Atomic Clock"
4620:Journal of Measurement Science
4545:
4498:
4472:
4444:, Elsevier, pp. 564–587,
4377:
4270:
4244:
4032:Time signal radio transmitters
3533:
3527:
2374:Atomic Clock Ensemble in Space
2224:
2218:
2085:
2076:
2054:
2048:
2010:
2004:
1820:
1814:
1507:
1501:
1445:
1439:
1025:atom moves at 510 m/s, a
770:University of Colorado Boulder
13:
1:
9410:10.1103/PhysRevLett.97.020801
9341:10.1109/OGC52961.2021.9654373
7770:Dubé, Pierre (15 July 2019).
6793:"A New Era for Atomic Clocks"
4505:Rabi, I. I. (15 April 1937).
4237:
2341:from the warm chamber walls.
2329:clock and the United States'
2171:{\displaystyle T_{c}/{\tau }}
1921:{\displaystyle d=T_{i}/T_{c}}
784:linked to atomic motion, the
716:to reach greater accuracies.
408:developed a technique called
166:International System of Units
40:Atomic Clock (disambiguation)
14635:
12090:"GNSS Timescale Description"
12064:safran-navigation-timing.com
11624:"UTC to GPS Time Correction"
11533:"The Science of Timekeeping"
11480:; Seidelmann, P. K. (2009).
10086:Ost, Laura (21 April 2015).
9798:Ball, Philip (9 July 2013).
7743:Wills, Stewart (July 2019).
7181:"Aluminum ion BIPM document"
6334:La Rivista del Nuovo Cimento
5892:swenson (29 December 1999).
5753:"How Do Atomic Clocks Work?"
5032:; Seidelmann, P. K. (2009).
4743:National Physical Laboratory
3886:navigation satellite systems
2323:National Physical Laboratory
2282:and his colleagues in 1978.
1880:, and where the duty factor
1853:, the interrogation time is
1646:{\displaystyle T_{\text{c}}}
1234:The core of the traditional
774:National Physical Laboratory
444:National Physical Laboratory
383:National Physical Laboratory
365:The accuracy of mechanical,
328:National Physical Laboratory
7:
14791:Internal combustion engines
14768:External combustion engines
14130:Gravitational time dilation
13966:Barycentric Coordinate Time
13533:Geological history of Earth
11506:"Global Positioning System"
11087:"BIPM work programme: Time"
10908:"BIPM work programme: Time"
10477:Ost, Laura (5 March 2018).
9075:National Science Foundation
9069:Lindley, D. (20 May 2009).
5233:swenson (4 February 2010).
4116:
3600:, with a natural linewidth
3292:gravitational time dilation
2957:Clock comparison techniques
2766:atomic electron transitions
2351:
2240:
1713:{\displaystyle {\sqrt {N}}}
1689:{\displaystyle \Delta \nu }
1595:{\displaystyle \Delta \nu }
1394:{\displaystyle \Delta \nu }
1122:
1080:
962:BIPM Circular T publication
888:, the Russian Federation's
458:, abbreviated BIH), at the
10:
15108:
13986:Geocentric Coordinate Time
13971:Barycentric Dynamical Time
13909:Coordinated Universal Time
12885:Orders of magnitude (time)
12617:10.1038/s41586-021-04349-7
11689:. May 2017. Archived from
11145:10.1038/s41586-024-07225-2
10799:10.1038/s41586-021-04344-y
10616:10.1007/s10291-021-01113-2
9006:10.1038/s41586-021-03253-4
8547:10.1038/s41586-024-07839-6
7870:10.1038/s41598-018-26365-w
7416:10.1109/TUFFC.2016.2524988
7112:10.1103/PhysRevA.68.052503
6768:. nist.gov. 3 April 2014.
6146:NCSL International Measure
5473:10.1038/s41586-021-04349-7
4926:10.1142/9789812795717_0015
4847:"History of Atomic Clocks"
4402:10.1088/0026-1394/42/3/s01
4348:10.1088/0026-1394/51/3/174
4035:
3941:(GLONASS) operated by the
3888:, and applications in the
3647:A definition based on the
3395:U.S. Department of Defense
2749:
2676:
2274:, which was introduced by
1238:atomic clock is a tunable
1182:
1126:
1117:GPS disciplined oscillator
1084:
1014:clock, developed in 2013.
992:
988:
970:prime meridian (Greenwich)
680:scientists demonstrated a
314:
29:
15082:Electronic test equipment
15043:
14992:
14974:
14931:
14893:
14845:
14822:
14789:
14766:
14719:
14686:
14645:Classical simple machines
14643:
14540:
14431:
14398:
14372:
14253:
14153:
14140:Time-translation symmetry
14070:
14044:
14027:
13951:International Atomic Time
13901:
13878:
13808:
13782:
13776:Electric clock technology
13714:
13656:
13609:
13596:Time translation symmetry
13541:
13481:
13471:
13393:
13320:
13240:
13181:
13065:
12983:
12893:
12855:
12841:
12810:
12343:"Deep Space Atomic Clock"
12257:. BBC. 27 December 2012.
12231:. BBC. 27 December 2011.
11922:. European Space Agency.
11803:. European Space Agency.
11739:"Time References in GNSS"
11542:(1289). Hewlett Packard.
11508:. Gps.gov. Archived from
11065:10.1103/RevModPhys.87.637
11035:Reviews of Modern Physics
10886:10.1393/ncr/i2013-10095-x
10856:Rivista del Nuovo Cimento
10742:10.1038/s41586-018-0738-2
10545:10.1038/s41586-020-3006-1
10156:Systematic Uncertainty".
9812:10.1038/nature.2013.13363
9598:"Ytterbium BIPM document"
9298:10.1038/s42005-019-0249-y
8263:10.1038/s41586-019-1533-4
8199:10.1038/s41586-019-1542-3
8135:10.1038/s41586-018-0011-8
7938:10.1209/epl/i2003-00210-x
7149:"Strontium BIPM document"
7052:10.1088/0026-1394/9/3/004
6508:10.1088/1464-4266/5/2/373
6364:10.1393/ncr/i2013-10095-x
6311:10.1103/RevModPhys.87.637
6280:Reviews of Modern Physics
6253:10.1393/ncr/i2013-10095-x
6223:Rivista del Nuovo Cimento
5918:mweiss (26 August 2009).
5209:"Optical Frequency Combs"
5207:NIST (31 December 2009).
5179:10.1109/JSTQE.2003.819109
3919:United States Space Force
3915:Global Positioning System
3419:beams. These clocks have
3178:electromagnetic radiation
3176:. The color of a clock's
1113:global positioning system
942:International Atomic Time
924:International timekeeping
573:to measure time precisely
448:International Time Bureau
440:National Research Council
225:International Atomic Time
162:electromagnetic radiation
114:
104:
90:
76:
66:
54:
49:
15092:Time measurement systems
12802:
11531:Allan, David W. (1997).
9335:. IEEE. pp. 92–95.
8499:(10)</sys> eV
7585:5 September 2010 at the
6996:"Rubidium BIPM document"
5564:10.1088/1681-7575/ad17d2
5119:10.1088/1681-7575/ab3a82
4653:Sullivan, D. B. (2001).
4004:Experimental space clock
3616:{\displaystyle \Delta f}
3401:Chip-scale atomic clocks
3378:(BIPM) for establishing
2977:lab and its partner lab
1964:can be approximated as
1764:{\displaystyle \nu _{0}}
1367:{\displaystyle \nu _{0}}
1174:Time measuring mechanism
1158:tests of the effects of
983:
664:Chip-scale atomic clocks
569:lattice clock that uses
493:Definition of the second
485:. In 1964, engineers at
330:in west London, England.
303:, measures time with an
266:is (a timing error of a
38:. For other topics, see
15030:Check weighing machines
14400:Astronomical chronology
14373:Archaeology and geology
14080:Absolute space and time
13996:IERS Reference Meridian
13991:International Date Line
13902:International standards
13551:Absolute space and time
13202:Astronomical chronology
11832:. European Commission.
11400:National Science Review
11216:Physical Review Letters
11111:"Optical Clocks at Sea"
11012:10.1364/OPTICA.3.000563
10647:Physical Review Letters
10402:Physical Review Letters
10258:10.1126/science.aam5538
10158:Physical Review Letters
9746:Joint Quantum Institute
9389:Physical Review Letters
9204:10.1126/science.aay3676
8682:Physical Review Letters
8407:Physical Review Letters
8334:Physical Review Letters
7684:Physical Review Letters
7608:Physical Review Letters
7589:, NIST, 4 February 2010
7450:www.laserfocusworld.com
7303:Physical Review Letters
7212:Physical Review Letters
6962:"Unit of time (second)"
6947:10.1126/science.aat4586
6850:National Science Review
6551:10.1109/TUFFC.2010.1457
6216:"Optical Atomic Clocks"
5378:Physical Review Letters
4285:. National Public Radio
4010:Deep Space Atomic Clock
3976:hydrogen maser and two
3855:quantum electrodynamics
3502:{\displaystyle \sigma }
1785:Flicker frequency noise
1242:containing a gas. In a
1230:Tuning and optimization
1216:2019 revision of the SI
1168:gravitational red shift
954:equal gravity potential
892:, the European Union's
682:chip-scale atomic clock
583:optical frequency combs
446:in the United Kingdom,
334:The Scottish physicist
254:and the United States'
168:' (SI) definition of a
13783:Powerline synchronized
13601:Time reversal symmetry
12905:Italian six-hour clock
12700:"Keeping Time at NIST"
12510:7 January 2021 at the
11351:10.1098/rsta.2011.0237
11297:10.1098/rsta.2011.0237
9268:Communications Physics
6137:NIST (December 2007).
5646:7 January 2021 at the
5638:Available on-line at:
5624:. 2007. Archived from
5588:. 2011. Archived from
4579:10.1103/physrev.53.318
4531:10.1103/physrev.51.652
4283:Weekend Edition Sunday
4107:high-frequency trading
4083:gravitational redshift
4071:gravitational redshift
3954:
3917:(GPS) operated by the
3839:
3774:
3617:
3587:
3503:
3483:
3311:
3198:University of Delaware
3192:
3068:Nobel Prize in Physics
3050:
2732:optical lattice clocks
2365:
2253:
2231:
2172:
2132:
1954:
1922:
1874:
1847:
1827:
1765:
1738:
1714:
1690:
1667:
1647:
1620:
1596:
1570:
1452:
1395:
1368:
1138:
1096:
1043:
933:
920:of a few nanoseconds.
720:How atomic clocks work
673:
574:
479:National Radio Company
477:During the 1950s, the
464:National Radio Company
438:(PTB) in Germany, the
418:Claude Cohen-Tannoudji
397:
331:
221:
200:
141:
130:U.S. Naval Observatory
15015:Seed-counting machine
14359:Weekday determination
14245:Sundial markup schema
13366:Time and fate deities
13311:The Unreality of Time
13250:A series and B series
12502:Michael A. Lombardi,
9998:Nature Communications
8892:Nature Communications
8566:ground state and the
8308:10.1103/Physics.17.71
7789:10.1103/physics.12.79
5273:Nature Communications
5002:Forman, Paul (1998).
4160:Network Time Protocol
4155:List of atomic clocks
3970:European Space Agency
3952:
3840:
3775:
3618:
3588:
3504:
3484:
3410:Redefining the second
3308:
3186:
3139:magneto-optical traps
3044:
2677:Further information:
2359:
2248:
2232:
2173:
2133:
1955:
1923:
1875:
1873:{\displaystyle T_{i}}
1848:
1846:{\displaystyle \tau }
1828:
1766:
1739:
1737:{\displaystyle \tau }
1722:signal to noise ratio
1715:
1691:
1668:
1666:{\displaystyle \tau }
1648:
1621:
1597:
1571:
1453:
1396:
1369:
1338:regime and higher).
1136:
1094:
1056:frequency synthesizer
1041:
931:
811:at a specific point.
740:A number of national
671:
564:
442:(NRC) in Canada, the
425:Ramsey interferometry
395:
322:
201:
174:
127:
14814:Nutating disc engine
14804:Reciprocating engine
14380:Chronological dating
14120:Theory of relativity
13981:Daylight saving time
13617:Chronological dating
13586:Theory of relativity
12930:Daylight saving time
11181:www.businesswire.com
10067:on 19 September 2015
8658:(4 September 2024).
6737:"Second: The Future"
6400:Dick, G. J. (1987).
5063:Smithsonian Magazine
4863:10.6028/jres.088.015
4822:. 15 November 2013.
3966:European GNSS Agency
3784:
3655:
3604:
3521:
3493:
3435:
2687:based on individual
2364:-based optical clock
2339:black-body radiation
2182:
2145:
1971:
1932:
1884:
1857:
1837:
1791:
1748:
1728:
1700:
1696:is smaller and when
1677:
1657:
1630:
1610:
1583:
1465:
1426:
1382:
1351:
1310:, the swinging of a
1246:clock the gas emits
1150:, in particular for
1060:hyperfine transition
788:of the environment (
541:decided upon at the
347:, which defines the
180:
99:satellite navigation
14590:Time value of money
14385:Geologic time scale
14240:History of sundials
14105:Cosmological decade
14057:Greenwich Mean Time
13888:Orders of magnitude
12910:Thai six-hour clock
12609:2022Natur.602..420B
12526:"Radio Station WWV"
12479:Airforce Technology
11946:"Galileo Goes Live"
11412:10.1093/nsr/nwaa215
11343:2011RSPTA.369.4109G
11337:(1953): 4109–4130.
11289:2011RSPTA.369.4109G
11283:(1953): 4109–4130.
11137:2024Natur.628..736R
11057:2015RvMP...87..637L
11004:2016Optic...3..563G
10950:2014NatPh..10...82M
10878:2013NCimR..36..555P
10791:2022Natur.602..425Z
10734:2018Natur.564...87M
10608:2021GPSS...25...83S
10537:2020Natur.588..414P
10425:2018PhRvL.120j3201M
10283:on 15 December 2019
10250:2017Sci...358...90C
10180:2016PhRvL.116f3001H
10020:2015NatCo...6.6896N
9940:10.1038/nature12941
9932:2014Natur.506...71B
9550:2021OExpr..2936734G
9544:(22): 36734–36744.
9402:2006PhRvL..97b0801O
9290:2019CmPhy...2..153F
9196:2020Sci...369..367D
9159:. 29 September 2020
8998:2021Natur.591..564B
8922:10.1038/ncomms12443
8914:2016NatCo...712443L
8855:2015Natur.522...16G
8806:2015Natur.522...16G
8705:2017PhRvL.118d2501S
8373:148.3821(5) nm
8347:2024PhRvL.132r2501T
8255:2019Natur.573..243S
8191:2019Natur.573..238M
8127:2018Natur.556..321T
8073:10.1038/nature17669
8065:2016Natur.533...47V
8001:2012PhRvL.108l0802C
7955:on 16 December 2013
7930:2003EL.....61..181P
7918:Europhysics Letters
7862:2018NatSR...8.8022G
7706:2019PhRvL.123c3201B
7630:2010PhRvL.104g0802C
7325:2016PhRvL.116f3001H
7234:2019PhRvL.123c3201B
7104:2003PhRvA..68e2503D
7044:1973Metro...9..128E
6863:10.1093/nsr/nwaa215
6500:2003JOptB...5S.150Q
6356:2013NCimR..36..555P
6303:2015RvMP...87..637L
6245:2013NCimR..36..555P
6177:2021RScI...92l4705J
5757:www.timeanddate.com
5702:"Chip-Scale Clocks"
5465:2022Natur.602..420B
5295:2015NatCo...6.6896N
5171:2003IJSTQ...9.1041Y
5111:2019Metro..56e5009L
4973:1978PhT....31l..23H
4785:1955Natur.176..280E
4709:1955Natur.176..280E
4570:1938PhRv...53..318R
4523:1937PhRv...51..652R
4436:Achard, F. (2005),
4252:"USNO Master Clock"
4209:Researchers at the
3964:is operated by the
3857:/QED calculations.
3713:
3248:age of the universe
3077:The development of
2883:internal conversion
2685:quantum logic clock
2436: by definition
2397:Working frequency (
2299:age of the universe
2037:
1928:has typical values
1813:
1006:clocks include the
896:system and China's
801:gravitational field
336:James Clerk Maxwell
14837:Peaucellier-Lipkin
14565:Mental chronometry
14193:Marine chronometer
14045:Obsolete standards
13440:Rosy retrospection
13418:Mental chronometry
13242:Philosophy of time
12322:on 28 October 2020
12157:The New York Times
11920:"Galileo's clocks"
11183:. 13 November 2023
10028:10.1038/ncomms7896
9994:total uncertainty"
9878:. 27 August 2013.
9852:. 22 August 2013.
9240:. 18 December 2009
7850:Scientific Reports
7822:10.3390/app8112194
7504:. 16 December 2020
6682:. 23 December 2016
5303:10.1038/ncomms7896
5269:total uncertainty"
5010:on 21 October 2007
4131:Electronics portal
4097:at the same time.
4067:General relativity
4062:General relativity
3955:
3835:
3770:
3699:
3613:
3583:
3499:
3479:
3312:
3200:in December 2012.
3193:
3101:around the world.
3051:
2796:based on a single
2764:) rather than the
2366:
2254:
2227:
2168:
2128:
2018:
1950:
1918:
1870:
1843:
1833:is independent of
1823:
1794:
1761:
1734:
1710:
1686:
1663:
1643:
1616:
1592:
1566:
1448:
1391:
1364:
1284:experimental error
1280:quantum-mechanical
1262:Doppler broadening
1164:general relativity
1160:special relativity
1139:
1097:
1044:
978:fiber-optic cables
934:
918:general relativity
914:special relativity
805:general relativity
674:
575:
414:magnetic resonance
398:
362:frequency clocks.
360:magnetic resonance
332:
258:. The timekeeping
244:satellite networks
196:
142:
81:Telecommunications
15059:
15058:
15035:Riveting machines
14733:Archimedes' screw
14603:
14602:
14413:Nuclear timescale
14095:Continuous signal
13834:
13833:
13800:Synchronous motor
13795:Utility frequency
13742:
13741:
13652:
13651:
13627:Circadian rhythms
13445:Tense–aspect–mood
13300:Temporal finitism
13177:
13176:
13153:Grandfather clock
12762:978-1-939133-01-4
12679:. 25 October 2021
12593:(7897): 420–424.
12481:. 21 January 2022
12455:. 1 February 2022
12010:on 26 August 2019
11868:on 9 January 2017
11491:978-3-527-40780-4
11406:(12): 1828–1836.
11121:(8009): 736–740.
10958:10.1038/nphys2834
10775:(7897): 425–430.
10521:(7838): 414–418.
9748:. 5 December 2012
9559:10.1364/OE.435105
9427:on 17 April 2007.
9350:978-1-6654-3194-1
8992:(7851): 564–569.
8741:has been measured
8239:(7773): 243–246.
8175:(7773): 238–242.
8111:(7701): 321–325.
7082:Physical Review A
6856:(12): 1828–1836.
6451:10.1109/58.710548
6185:10.1063/5.0061727
5855:978-92-822-2280-5
5628:on 7 January 2008
5517:. 18 October 2021
5449:(7897): 420–424.
5043:978-3-527-40780-4
4981:10.1063/1.2994867
4935:978-981-02-3250-4
4914:, 541–552 (1990)"
4703:(4476): 280–282.
4666:. pp. 4–17.
4197:Explanatory notes
4101:Financial systems
4095:quantum mechanics
4056:radio transmitter
3989:BeiDou-2/BeiDou-3
3833:
3768:
3728:
3581:
3578:
3477:
3457:
3225:Paris Observatory
3072:David J. Wineland
3064:Theodor W. Hänsch
2983:Boulder, Colorado
2905:ionization energy
2863:Although neutral
2666:
2665:
2409:(typical clocks)
2289:to accuracies of
2123:
2122:
2097:
2058:
2057:
1708:
1640:
1619:{\displaystyle N}
1561:
1560:
1554:
1542:
1539:
1316:grandfather clock
1278:In this way, the
1222:and almost every
1087:Rubidium standard
786:thermal radiation
746:Paris Observatory
460:Paris Observatory
367:electromechanical
356:Isidor Isaac Rabi
351:for timekeeping.
349:mean solar second
252:Galileo Programme
193:
122:
121:
16:(Redirected from
15099:
14738:Eductor-jet pump
14630:
14623:
14616:
14607:
14606:
14304:Dominical letter
14235:Equation of time
14198:Marine sandglass
14039:
14033:
14011:Terrestrial Time
13868:Time measurement
13861:
13854:
13847:
13838:
13837:
13769:
13762:
13755:
13746:
13745:
13732:
13731:
13722:
13721:
13639:Glottochronology
13479:
13478:
13395:Human experience
13255:B-theory of time
12853:
12852:
12797:
12790:
12783:
12774:
12773:
12767:
12766:
12746:
12740:
12739:
12737:
12735:
12721:
12715:
12714:
12712:
12710:
12695:
12689:
12688:
12686:
12684:
12669:
12663:
12662:
12660:
12658:
12643:
12637:
12636:
12602:
12581:
12575:
12574:
12572:
12570:
12547:
12541:
12540:
12538:
12536:
12521:
12515:
12500:
12491:
12490:
12488:
12486:
12471:
12465:
12464:
12462:
12460:
12453:The Defense Post
12445:
12439:
12438:
12436:
12434:
12419:
12413:
12412:
12410:
12408:
12397:
12391:
12390:
12388:
12386:
12371:
12365:
12364:
12362:
12360:
12338:
12332:
12331:
12329:
12327:
12308:
12302:
12301:
12299:
12297:
12277:
12271:
12270:
12268:
12266:
12251:
12245:
12244:
12242:
12240:
12225:
12219:
12218:
12216:
12214:
12208:
12201:
12193:
12187:
12182:
12176:
12175:
12173:
12171:
12148:
12142:
12141:
12139:
12137:
12132:on 28 March 2018
12128:. Archived from
12118:
12112:
12111:
12109:
12107:
12101:
12094:
12086:
12080:
12079:
12077:
12075:
12056:
12050:
12049:
12047:
12045:
12026:
12020:
12019:
12017:
12015:
12006:. Archived from
12000:
11994:
11993:
11991:
11989:
11983:
11976:
11968:
11962:
11961:
11959:
11957:
11942:
11936:
11935:
11933:
11931:
11916:
11910:
11909:
11907:
11905:
11899:
11892:
11884:
11878:
11877:
11875:
11873:
11867:
11861:. Archived from
11860:
11852:
11846:
11845:
11843:
11841:
11826:
11817:
11816:
11814:
11812:
11797:
11791:
11790:
11788:
11786:
11780:
11773:
11765:
11759:
11758:
11756:
11754:
11735:
11729:
11728:
11726:
11724:
11709:
11703:
11702:
11700:
11698:
11683:
11677:
11675:
11673:
11671:
11665:
11658:
11650:
11644:
11643:
11641:
11639:
11620:
11614:
11613:
11611:
11609:
11594:
11588:
11587:
11585:
11583:
11577:
11566:
11557:
11551:
11550:
11548:
11540:Application Note
11537:
11528:
11522:
11521:
11519:
11517:
11502:
11496:
11495:
11474:
11468:
11467:
11465:
11463:
11448:
11442:
11441:
11431:
11391:
11385:
11384:
11377:
11371:
11370:
11326:
11317:
11316:
11272:
11266:
11265:
11231:
11211:
11209:
11199:
11193:
11192:
11190:
11188:
11173:
11167:
11166:
11156:
11130:
11105:
11099:
11098:
11096:
11094:
11083:
11077:
11076:
11050:
11030:
11024:
11023:
10997:
10976:
10970:
10969:
10930:
10924:
10923:
10921:
10919:
10904:
10898:
10897:
10871:
10851:
10845:
10844:
10842:
10840:
10825:
10819:
10818:
10784:
10760:
10754:
10753:
10727:
10703:
10697:
10696:
10662:
10642:
10634:
10628:
10627:
10593:
10583:
10577:
10576:
10574:
10572:
10530:
10505:
10499:
10498:
10496:
10494:
10474:
10468:
10467:
10465:
10463:
10457:
10418:
10398:
10389:
10383:
10382:
10380:
10378:
10358:
10352:
10351:
10349:
10347:
10332:
10326:
10325:
10323:
10321:
10299:
10293:
10292:
10290:
10288:
10282:
10276:. Archived from
10243:
10223:
10214:
10208:
10207:
10173:
10155:
10153:
10145:
10139:
10138:
10136:
10134:
10114:
10108:
10107:
10105:
10103:
10083:
10077:
10076:
10074:
10072:
10063:. Archived from
10056:
10050:
10049:
10039:
10013:
9993:
9991:
9981:
9975:
9974:
9972:
9970:
9964:
9925:
9907:
9898:
9892:
9891:
9889:
9887:
9872:
9866:
9865:
9863:
9861:
9842:
9836:
9835:
9833:
9831:
9795:
9789:
9788:
9786:
9784:
9764:
9758:
9757:
9755:
9753:
9738:
9732:
9731:
9729:
9727:
9712:
9706:
9705:
9703:
9701:
9678:
9672:
9671:
9669:
9667:
9652:
9646:
9645:
9643:
9641:
9626:
9620:
9619:
9617:
9615:
9609:
9602:
9594:
9588:
9587:
9561:
9529:
9523:
9522:
9520:
9508:
9502:
9501:
9499:
9497:
9475:
9466:
9465:
9463:
9461:
9455:
9449:. Archived from
9444:
9435:
9429:
9428:
9426:
9420:. Archived from
9385:
9376:
9363:
9362:
9324:
9318:
9317:
9283:
9259:
9250:
9249:
9247:
9245:
9230:
9224:
9223:
9175:
9169:
9168:
9166:
9164:
9149:
9143:
9142:
9140:
9138:
9123:
9117:
9116:
9114:
9112:
9097:
9091:
9090:
9088:
9086:
9066:
9060:
9059:
9057:
9055:
9040:
9034:
9033:
8976:
8970:
8969:
8967:
8965:
8950:
8944:
8943:
8933:
8907:
8883:
8877:
8876:
8866:
8834:
8828:
8827:
8817:
8785:
8779:
8778:
8776:
8774:
8768:
8761:
8750:
8744:
8743:
8740:
8738:
8698:
8676:
8670:
8669:
8652:
8646:
8645:
8642:
8641:
8639:
8636:
8633:
8630:
8596:
8594:
8593:
8590:
8587:
8572:
8565:
8540:
8514:
8508:
8507:
8500:
8494:
8488:
8476:
8466:
8463:
8457:
8447:
8423:
8400:
8394:
8393:
8390:
8386:
8382:
8381:.409(7) THz
8380:
8374:
8330:
8321:
8312:
8311:
8302:. Vol. 17.
8289:
8283:
8282:
8248:
8225:
8219:
8218:
8184:
8161:
8155:
8154:
8120:
8099:
8093:
8092:
8058:
8035:
8029:
8028:
7994:
7974:
7965:
7964:
7962:
7960:
7954:
7948:. Archived from
7915:
7906:
7900:
7899:
7889:
7841:
7835:
7834:
7824:
7809:Applied Sciences
7800:
7794:
7793:
7791:
7767:
7761:
7760:
7758:
7756:
7740:
7734:
7733:
7699:
7679:
7673:
7672:
7670:
7668:
7662:
7623:
7605:
7596:
7590:
7577:
7571:
7570:
7568:
7566:
7546:
7540:
7539:
7537:
7535:
7520:
7514:
7513:
7511:
7509:
7494:
7488:
7487:
7485:
7483:
7468:
7462:
7461:
7459:
7457:
7452:. September 2001
7442:
7436:
7435:
7409:
7385:
7379:
7378:
7376:
7374:
7359:
7353:
7352:
7318:
7294:
7288:
7287:
7285:
7283:
7268:
7262:
7261:
7227:
7203:
7197:
7196:
7194:
7192:
7177:
7171:
7170:
7168:
7166:
7160:
7153:
7145:
7139:
7138:
7136:
7134:
7128:
7097:
7095:quant-ph/0308136
7079:
7070:
7064:
7063:
7024:
7018:
7017:
7015:
7013:
7007:
7000:
6992:
6986:
6985:
6983:
6981:
6958:
6952:
6951:
6949:
6929:
6923:
6922:
6920:
6918:
6912:
6901:
6892:
6886:
6885:
6875:
6865:
6841:
6835:
6834:
6832:
6819:
6813:
6812:
6810:
6808:
6788:
6782:
6781:
6779:
6777:
6758:
6752:
6751:
6749:
6747:
6732:
6726:
6725:
6723:
6721:
6698:
6692:
6691:
6689:
6687:
6672:
6666:
6665:
6663:
6661:
6647:
6641:
6640:
6638:
6636:
6621:
6615:
6614:
6612:
6610:
6603:Revolutionalized
6595:
6589:
6588:
6580:
6571:
6570:
6544:
6518:
6512:
6511:
6494:(2): S150–S154.
6477:
6471:
6470:
6432:
6426:
6417:
6411:
6410:
6408:
6397:
6391:
6384:Allan, David W.
6382:
6376:
6375:
6349:
6329:
6323:
6322:
6296:
6274:
6265:
6264:
6238:
6220:
6211:
6205:
6204:
6160:
6154:
6153:
6143:
6134:
6128:
6127:
6126:
6124:
6118:
6102:(8th ed.),
6101:
6087:
6081:
6080:
6072:
6066:
6065:
6063:
6061:
6056:
6048:
6042:
6041:
6039:
6037:
6022:
6016:
6015:
6013:
6011:
5996:
5990:
5989:
5987:
5985:
5976:. 3 April 2014.
5966:
5960:
5959:
5957:
5955:
5949:www.grc.nasa.gov
5941:
5935:
5934:
5932:
5930:
5915:
5909:
5908:
5906:
5904:
5889:
5883:
5882:
5880:
5878:
5872:
5847:
5837:
5831:
5830:
5829:
5827:
5821:
5815:, 12 July 2021,
5810:
5800:
5794:
5793:
5787:
5779:
5768:
5767:
5765:
5763:
5749:
5743:
5742:
5740:
5738:
5723:
5717:
5716:
5714:
5712:
5697:
5691:
5690:
5688:
5686:
5671:
5665:
5664:
5656:
5650:
5637:
5635:
5633:
5614:
5605:
5604:
5602:
5600:
5594:
5587:
5579:
5568:
5567:
5557:
5533:
5527:
5526:
5524:
5522:
5507:
5501:
5500:
5458:
5434:
5428:
5427:
5393:
5373:
5365:
5359:
5358:
5356:
5354:
5339:
5333:
5332:
5322:
5288:
5268:
5266:
5256:
5250:
5249:
5247:
5245:
5230:
5224:
5223:
5221:
5219:
5204:
5198:
5197:
5195:
5193:
5187:
5165:(4): 1041–1058.
5154:
5145:
5139:
5138:
5104:
5080:
5074:
5073:
5071:
5069:
5054:
5048:
5047:
5026:
5020:
5019:
5017:
5015:
5006:. Archived from
4999:
4993:
4992:
4952:
4946:
4945:
4944:
4942:
4899:
4893:
4892:
4882:
4842:
4836:
4835:
4833:
4831:
4820:ESO Announcement
4812:
4806:
4804:
4793:10.1038/176280a0
4765:
4759:
4758:
4756:
4754:
4735:
4729:
4728:
4717:10.1038/176280a0
4689:
4683:
4682:
4680:
4678:
4672:
4661:
4650:
4644:
4643:
4641:
4639:
4633:
4616:
4607:
4592:
4591:
4581:
4549:
4543:
4542:
4502:
4496:
4495:
4493:
4491:
4476:
4470:
4469:
4468:
4466:
4433:
4422:
4421:
4381:
4375:
4374:
4371:
4367:
4365:
4359:
4357:
4331:
4322:
4313:
4312:
4301:
4295:
4294:
4292:
4290:
4274:
4268:
4267:
4265:
4263:
4248:
4231:
4229:
4227:
4220:
4214:
4207:
4140:Caesium standard
4133:
4128:
4127:
4092:
4090:
4027:
3852:
3844:
3842:
3841:
3836:
3834:
3832:
3831:
3822:
3815:
3814:
3804:
3796:
3795:
3779:
3777:
3776:
3771:
3769:
3767:
3759:
3758:
3757:
3745:
3744:
3734:
3729:
3727:
3723:
3722:
3712:
3707:
3694:
3693:
3692:
3683:
3682:
3672:
3667:
3666:
3649:Rydberg constant
3643:Rydberg constant
3638:
3634:
3626:
3622:
3620:
3619:
3614:
3599:
3592:
3590:
3589:
3584:
3582:
3580:
3579:
3574:
3573:
3555:
3540:
3508:
3506:
3505:
3500:
3488:
3486:
3485:
3480:
3478:
3476:
3472:
3460:
3458:
3453:
3445:
3426:
3424:
3365:
3363:
3353:
3351:
3338:
3336:
3330:
3328:
3322:
3320:
3289:
3287:
3273:
3269:
3266:atoms cooled to
3265:
3264:10 000 ytterbium
3261:
3257:
3255:
3241:
3239:
3222:
3220:
3210:
3208:
3106:femtosecond comb
3086:optical lattices
3032:
3030:
3013:
3011:
2997:
2995:
2968:
2950:Mössbauer effect
2928:
2924:
2923:
2922:
2915:
2914:
2902:
2901:
2900:
2893:
2892:
2880:
2879:
2878:
2871:
2870:
2859:
2857:
2853:
2850:
2847:
2841:
2839:
2836:
2833:
2830:
2827:
2821:
2819:
2813:
2812:
2811:
2804:
2803:
2787:
2785:
2784:
2777:
2776:
2726:
2724:
2715:
2713:
2660:
2655:
2653:
2650:
2647:
2644:
2641:
2623:
2618:
2616:
2613:
2610:
2607:
2604:
2586:
2581:
2579:
2576:
2573:
2570:
2567:
2564:
2546:
2541:
2539:
2536:
2533:
2530:
2527:
2509:
2504:
2502:
2499:
2496:
2493:
2477:
2472:
2470:
2467:
2464:
2461:
2458:
2442:
2434:
2432:
2429:
2426:
2391:
2390:
2386:available online
2360:An experimental
2346:published online
2327:caesium fountain
2320:
2296:
2292:
2288:
2276:Jerrod Zacharias
2272:caesium fountain
2269:
2265:
2236:
2234:
2233:
2228:
2217:
2216:
2215:
2214:
2177:
2175:
2174:
2169:
2167:
2162:
2157:
2156:
2137:
2135:
2134:
2129:
2124:
2118:
2117:
2108:
2107:
2102:
2098:
2096:
2088:
2068:
2059:
2038:
2036:
2035:
2026:
2017:
2003:
2002:
2001:
2000:
1959:
1957:
1956:
1951:
1927:
1925:
1924:
1919:
1917:
1916:
1907:
1902:
1901:
1879:
1877:
1876:
1871:
1869:
1868:
1852:
1850:
1849:
1844:
1832:
1830:
1829:
1824:
1812:
1811:
1802:
1781:local oscillator
1770:
1768:
1767:
1762:
1760:
1759:
1743:
1741:
1740:
1735:
1719:
1717:
1716:
1711:
1709:
1704:
1695:
1693:
1692:
1687:
1672:
1670:
1669:
1664:
1652:
1650:
1649:
1644:
1642:
1641:
1638:
1625:
1623:
1622:
1617:
1601:
1599:
1598:
1593:
1575:
1573:
1572:
1567:
1562:
1556:
1555:
1552:
1546:
1545:
1543:
1541:
1540:
1535:
1533:
1532:
1522:
1514:
1500:
1499:
1498:
1497:
1457:
1455:
1454:
1449:
1438:
1437:
1406:
1400:
1398:
1397:
1392:
1373:
1371:
1370:
1365:
1363:
1362:
1346:
1296:local oscillator
1240:microwave cavity
1202:
1200:
1197:
1194:
1137:A hydrogen maser
1110:
1108:
1069:
1067:
995:Caesium standard
947:
861:
857:
849:
845:
837:
833:
829:
795:
690:
659:
657:
651:
649:
643:
639:
637:
628:
626:
620:
609:. Scientists at
592:
551:Rydberg constant
520:
518:
515:
509:
508:
505:
502:
345:Earth's rotation
310:
287:atoms cooled to
279:
278:
274:
237:Earth's rotation
218:
217:
214:
211:
205:
203:
202:
197:
195:
194:
191:
134:Washington, D.C.
59:
47:
46:
21:
15107:
15106:
15102:
15101:
15100:
15098:
15097:
15096:
15062:
15061:
15060:
15055:
15051:Spring (device)
15039:
15020:Vending machine
14988:
14970:
14927:
14889:
14841:
14818:
14785:
14781:Stirling engine
14762:
14715:
14682:
14639:
14634:
14604:
14599:
14536:
14427:
14394:
14368:
14249:
14149:
14100:Coordinate time
14072:Time in physics
14066:
14040:
14034:
14025:
13897:
13874:
13865:
13835:
13830:
13804:
13778:
13773:
13743:
13738:
13710:
13701:Time immemorial
13648:
13605:
13566:Coordinate time
13537:
13491:Geological time
13467:
13450:Time management
13413:Generation time
13397:
13389:
13334:
13316:
13236:
13195:
13173:
13061:
12979:
12896:
12889:
12845:
12837:
12806:
12801:
12771:
12770:
12763:
12747:
12743:
12733:
12731:
12729:www.chainzy.com
12723:
12722:
12718:
12708:
12706:
12696:
12692:
12682:
12680:
12677:Quanta Magazine
12671:
12670:
12666:
12656:
12654:
12644:
12640:
12582:
12578:
12568:
12566:
12548:
12544:
12534:
12532:
12522:
12518:
12512:Wayback Machine
12501:
12494:
12484:
12482:
12473:
12472:
12468:
12458:
12456:
12447:
12446:
12442:
12432:
12430:
12420:
12416:
12406:
12404:
12399:
12398:
12394:
12384:
12382:
12372:
12368:
12358:
12356:
12339:
12335:
12325:
12323:
12310:
12309:
12305:
12295:
12293:
12278:
12274:
12264:
12262:
12253:
12252:
12248:
12238:
12236:
12227:
12226:
12222:
12212:
12210:
12206:
12199:
12195:
12194:
12190:
12183:
12179:
12169:
12167:
12149:
12145:
12135:
12133:
12120:
12119:
12115:
12105:
12103:
12099:
12092:
12088:
12087:
12083:
12073:
12071:
12058:
12057:
12053:
12043:
12041:
12028:
12027:
12023:
12013:
12011:
12002:
12001:
11997:
11987:
11985:
11981:
11974:
11970:
11969:
11965:
11955:
11953:
11944:
11943:
11939:
11929:
11927:
11918:
11917:
11913:
11903:
11901:
11897:
11890:
11886:
11885:
11881:
11871:
11869:
11865:
11858:
11854:
11853:
11849:
11839:
11837:
11828:
11827:
11820:
11810:
11808:
11799:
11798:
11794:
11784:
11782:
11778:
11771:
11767:
11766:
11762:
11752:
11750:
11737:
11736:
11732:
11722:
11720:
11719:on 8 April 2013
11711:
11710:
11706:
11696:
11694:
11685:
11684:
11680:
11669:
11667:
11663:
11656:
11652:
11651:
11647:
11637:
11635:
11622:
11621:
11617:
11607:
11605:
11596:
11595:
11591:
11581:
11579:
11575:
11564:
11558:
11554:
11546:
11535:
11529:
11525:
11515:
11513:
11512:on 30 July 2010
11504:
11503:
11499:
11492:
11478:McCarthy, D. D.
11475:
11471:
11461:
11459:
11449:
11445:
11392:
11388:
11379:
11378:
11374:
11327:
11320:
11273:
11269:
11207:
11205:
11200:
11196:
11186:
11184:
11175:
11174:
11170:
11106:
11102:
11092:
11090:
11085:
11084:
11080:
11031:
11027:
10977:
10973:
10934:Margolis, Helen
10931:
10927:
10917:
10915:
10906:
10905:
10901:
10862:(12): 555–624.
10852:
10848:
10838:
10836:
10827:
10826:
10822:
10761:
10757:
10718:(7734): 87–90.
10704:
10700:
10640:
10635:
10631:
10591:
10584:
10580:
10570:
10568:
10506:
10502:
10492:
10490:
10475:
10471:
10461:
10459:
10455:
10396:
10390:
10386:
10376:
10374:
10359:
10355:
10345:
10343:
10334:
10333:
10329:
10319:
10317:
10300:
10296:
10286:
10284:
10280:
10234:(6359): 90–94.
10221:
10215:
10211:
10151:
10149:
10146:
10142:
10132:
10130:
10115:
10111:
10101:
10099:
10084:
10080:
10070:
10068:
10057:
10053:
9989:
9987:
9982:
9978:
9968:
9966:
9962:
9905:
9899:
9895:
9885:
9883:
9874:
9873:
9869:
9859:
9857:
9844:
9843:
9839:
9829:
9827:
9796:
9792:
9782:
9780:
9765:
9761:
9751:
9749:
9740:
9739:
9735:
9725:
9723:
9714:
9713:
9709:
9699:
9697:
9681:Norton, Quinn.
9679:
9675:
9665:
9663:
9654:
9653:
9649:
9639:
9637:
9628:
9627:
9623:
9613:
9611:
9607:
9600:
9596:
9595:
9591:
9530:
9526:
9509:
9505:
9495:
9493:
9477:
9476:
9469:
9459:
9457:
9456:on 23 June 2015
9453:
9442:
9438:Riehle, Fritz.
9436:
9432:
9424:
9383:
9377:
9366:
9351:
9325:
9321:
9260:
9253:
9243:
9241:
9232:
9231:
9227:
9176:
9172:
9162:
9160:
9151:
9150:
9146:
9136:
9134:
9125:
9124:
9120:
9110:
9108:
9098:
9094:
9084:
9082:
9067:
9063:
9053:
9051:
9041:
9037:
8977:
8973:
8963:
8961:
8952:
8951:
8947:
8884:
8880:
8864:10.1038/522016a
8849:(7554): 16–17.
8835:
8831:
8815:10.1038/522016a
8800:(7554): 16–17.
8786:
8782:
8772:
8770:
8766:
8759:
8751:
8747:
8736:
8734:
8733:A half-life of
8677:
8673:
8653:
8649:
8637:
8634:
8631:
8628:
8626:
8624:
8617:
8610:
8603:
8591:
8588:
8585:
8584:
8582:
8580:
8574:
8567:
8560:
8531:(8028): 63–70.
8515:
8511:
8504:
8498:
8492:
8490:
8486:
8482:
8478:
8474:
8470:
8464:
8461:
8459:
8455:
8451:
8445:
8443:
8401:
8397:
8389:1740(50) s
8388:
8384:
8378:
8376:
8372:
8370:
8328:
8322:
8315:
8290:
8286:
8226:
8222:
8162:
8158:
8100:
8096:
8049:(7601): 47–51.
8036:
8032:
7979:Phys. Rev. Lett
7975:
7968:
7958:
7956:
7952:
7913:
7907:
7903:
7842:
7838:
7801:
7797:
7768:
7764:
7754:
7752:
7741:
7737:
7680:
7676:
7666:
7664:
7660:
7603:
7597:
7593:
7587:Wayback Machine
7578:
7574:
7564:
7562:
7547:
7543:
7533:
7531:
7521:
7517:
7507:
7505:
7496:
7495:
7491:
7481:
7479:
7469:
7465:
7455:
7453:
7444:
7443:
7439:
7386:
7382:
7372:
7370:
7361:
7360:
7356:
7295:
7291:
7281:
7279:
7270:
7269:
7265:
7204:
7200:
7190:
7188:
7179:
7178:
7174:
7164:
7162:
7158:
7151:
7147:
7146:
7142:
7132:
7130:
7126:
7077:
7071:
7067:
7025:
7021:
7011:
7009:
7005:
6998:
6994:
6993:
6989:
6979:
6977:
6960:
6959:
6955:
6930:
6926:
6916:
6914:
6910:
6899:
6893:
6889:
6842:
6838:
6820:
6816:
6806:
6804:
6789:
6785:
6775:
6773:
6760:
6759:
6755:
6745:
6743:
6733:
6729:
6719:
6717:
6699:
6695:
6685:
6683:
6674:
6673:
6669:
6659:
6657:
6649:
6648:
6644:
6634:
6632:
6622:
6618:
6608:
6606:
6597:
6596:
6592:
6581:
6574:
6519:
6515:
6478:
6474:
6433:
6429:
6418:
6414:
6406:
6398:
6394:
6383:
6379:
6330:
6326:
6275:
6268:
6229:(12): 555–624.
6218:
6212:
6208:
6161:
6157:
6141:
6135:
6131:
6122:
6120:
6116:
6110:
6099:
6088:
6084:
6073:
6069:
6059:
6057:
6054:
6050:
6049:
6045:
6035:
6033:
6023:
6019:
6009:
6007:
5997:
5993:
5983:
5981:
5968:
5967:
5963:
5953:
5951:
5943:
5942:
5938:
5928:
5926:
5916:
5912:
5902:
5900:
5890:
5886:
5876:
5874:
5870:
5856:
5845:
5839:
5838:
5834:
5825:
5823:
5819:
5808:
5802:
5801:
5797:
5785:
5781:
5780:
5771:
5761:
5759:
5751:
5750:
5746:
5736:
5734:
5724:
5720:
5710:
5708:
5698:
5694:
5684:
5682:
5672:
5668:
5657:
5653:
5648:Wayback Machine
5631:
5629:
5616:
5615:
5608:
5598:
5596:
5592:
5585:
5581:
5580:
5571:
5534:
5530:
5520:
5518:
5509:
5508:
5504:
5435:
5431:
5371:
5366:
5362:
5352:
5350:
5340:
5336:
5264:
5262:
5257:
5253:
5243:
5241:
5231:
5227:
5217:
5215:
5205:
5201:
5191:
5189:
5185:
5152:
5146:
5142:
5081:
5077:
5067:
5065:
5055:
5051:
5044:
5030:McCarthy, D. D.
5027:
5023:
5013:
5011:
5000:
4996:
4953:
4949:
4940:
4938:
4936:
4909:Rev. Mod. Phys.
4901:
4900:
4896:
4843:
4839:
4829:
4827:
4814:
4813:
4809:
4766:
4762:
4752:
4750:
4737:
4736:
4732:
4690:
4686:
4676:
4674:
4670:
4659:
4651:
4647:
4637:
4635:
4631:
4614:
4608:
4595:
4558:Physical Review
4550:
4546:
4511:Physical Review
4503:
4499:
4489:
4487:
4478:
4477:
4473:
4464:
4462:
4460:
4434:
4425:
4382:
4378:
4369:
4363:
4361:
4355:
4353:
4329:
4323:
4316:
4303:
4302:
4298:
4288:
4286:
4275:
4271:
4261:
4259:
4250:
4249:
4245:
4240:
4235:
4234:
4225:
4223:
4221:
4217:
4208:
4204:
4199:
4194:
4129:
4122:
4119:
4103:
4088:
4086:
4064:
4040:
4034:
4025:
4018:
4006:
3911:
3903:radio astronomy
3882:
3870:
3850:
3827:
3823:
3810:
3806:
3805:
3803:
3791:
3787:
3785:
3782:
3781:
3760:
3753:
3749:
3740:
3736:
3735:
3733:
3718:
3714:
3708:
3703:
3695:
3688:
3684:
3678:
3674:
3673:
3671:
3662:
3658:
3656:
3653:
3652:
3645:
3636:
3632:
3629:optical lattice
3624:
3605:
3602:
3601:
3597:
3563:
3559:
3554:
3544:
3539:
3522:
3519:
3518:
3494:
3491:
3490:
3468:
3464:
3459:
3446:
3444:
3436:
3433:
3432:
3422:
3420:
3412:
3403:
3391:Exercise RIMPAC
3361:
3359:
3349:
3347:
3334:
3332:
3326:
3324:
3318:
3316:
3285:
3283:
3271:
3267:
3263:
3259:
3253:
3251:
3237:
3235:
3218:
3216:
3206:
3204:
3082:frequency combs
3039:
3028:
3026:
3009:
3007:
2993:
2991:
2966:
2959:
2926:
2921:
2919:
2918:
2917:
2913:
2911:
2910:
2909:
2908:
2899:
2897:
2896:
2895:
2891:
2889:
2888:
2887:
2886:
2877:
2875:
2874:
2873:
2869:
2867:
2866:
2865:
2864:
2855:
2851:
2848:
2845:
2843:
2837:
2834:
2831:
2828:
2825:
2823:
2817:
2815:
2810:
2808:
2807:
2806:
2802:
2800:
2799:
2798:
2797:
2783:
2781:
2780:
2779:
2775:
2773:
2772:
2771:
2769:
2762:nuclear isomers
2754:
2748:
2722:
2720:
2711:
2709:
2681:
2675:
2658:
2651:
2648:
2645:
2642:
2639:
2637:
2630:Optical clock (
2621:
2614:
2611:
2608:
2605:
2602:
2600:
2593:Optical clock (
2584:
2577:
2574:
2571:
2568:
2565:
2562:
2560:
2553:Optical clock (
2544:
2537:
2534:
2531:
2528:
2525:
2523:
2516:Optical clock (
2507:
2500:
2497:
2494:
2491:
2489:
2475:
2468:
2465:
2462:
2459:
2456:
2454:
2440:
2430:
2427:
2424:
2422:
2408:
2406:Allan deviation
2382:
2354:
2335:liquid nitrogen
2318:
2311:optical lattice
2294:
2290:
2286:
2267:
2263:
2243:
2198:
2197:
2189:
2185:
2183:
2180:
2179:
2163:
2158:
2152:
2148:
2146:
2143:
2142:
2113:
2109:
2106:
2089:
2069:
2067:
2063:
2028:
2027:
2022:
2016:
1987:
1986:
1978:
1974:
1972:
1969:
1968:
1962:Allan deviation
1933:
1930:
1929:
1912:
1908:
1903:
1897:
1893:
1885:
1882:
1881:
1864:
1860:
1858:
1855:
1854:
1838:
1835:
1834:
1804:
1803:
1798:
1792:
1789:
1788:
1755:
1751:
1749:
1746:
1745:
1729:
1726:
1725:
1703:
1701:
1698:
1697:
1678:
1675:
1674:
1658:
1655:
1654:
1637:
1633:
1631:
1628:
1627:
1611:
1608:
1607:
1584:
1581:
1580:
1551:
1547:
1544:
1534:
1528:
1524:
1523:
1515:
1513:
1481:
1480:
1472:
1468:
1466:
1463:
1462:
1433:
1429:
1427:
1424:
1423:
1421:Allan deviation
1402:
1383:
1380:
1379:
1358:
1354:
1352:
1349:
1348:
1342:
1304:
1302:Clock mechanism
1236:radio frequency
1232:
1198:
1195:
1192:
1190:
1187:
1181:
1176:
1148:radio astronomy
1131:
1125:
1106:
1104:
1089:
1083:
1065:
1063:
1036:
997:
991:
986:
945:
926:
877:
859:
855:
847:
843:
842:is one part in
835:
831:
827:
793:
727:
722:
685:
666:
655:
653:
647:
645:
641:
635:
633:
624:
622:
618:
590:
559:
521:seconds in the
516:
513:
511:
506:
503:
500:
498:
495:
487:Hewlett-Packard
472:Hewlett–Packard
410:optical pumping
317:
308:
276:
272:
271:
215:
212:
209:
207:
190:
186:
181:
178:
177:
62:
43:
28:
23:
22:
15:
12:
11:
5:
15105:
15095:
15094:
15089:
15084:
15079:
15074:
15057:
15056:
15054:
15053:
15047:
15045:
15041:
15040:
15038:
15037:
15032:
15027:
15022:
15017:
15012:
15007:
15002:
14996:
14994:
14990:
14989:
14987:
14986:
14980:
14978:
14972:
14971:
14969:
14968:
14963:
14958:
14953:
14948:
14943:
14937:
14935:
14929:
14928:
14926:
14925:
14920:
14915:
14910:
14905:
14899:
14897:
14891:
14890:
14888:
14887:
14882:
14880:Wind generator
14877:
14872:
14867:
14862:
14857:
14851:
14849:
14843:
14842:
14840:
14839:
14834:
14828:
14826:
14820:
14819:
14817:
14816:
14811:
14806:
14801:
14795:
14793:
14787:
14786:
14784:
14783:
14778:
14772:
14770:
14764:
14763:
14761:
14760:
14755:
14750:
14745:
14740:
14735:
14729:
14727:
14717:
14716:
14714:
14713:
14708:
14706:Pendulum clock
14703:
14698:
14692:
14690:
14684:
14683:
14681:
14680:
14678:Wheel and axle
14675:
14670:
14665:
14660:
14655:
14653:Inclined plane
14649:
14647:
14641:
14640:
14633:
14632:
14625:
14618:
14610:
14601:
14600:
14598:
14597:
14592:
14587:
14585:Time metrology
14582:
14577:
14572:
14567:
14562:
14561:
14560:
14550:
14544:
14542:
14541:Related topics
14538:
14537:
14535:
14534:
14529:
14524:
14519:
14514:
14509:
14504:
14499:
14494:
14489:
14484:
14479:
14474:
14469:
14464:
14459:
14454:
14449:
14444:
14438:
14436:
14429:
14428:
14426:
14425:
14420:
14415:
14410:
14404:
14402:
14396:
14395:
14393:
14392:
14387:
14382:
14376:
14374:
14370:
14369:
14367:
14366:
14361:
14356:
14351:
14346:
14341:
14336:
14331:
14326:
14321:
14316:
14311:
14306:
14301:
14296:
14291:
14286:
14280:
14275:
14270:
14265:
14259:
14257:
14251:
14250:
14248:
14247:
14242:
14237:
14232:
14230:Dialing scales
14227:
14222:
14217:
14216:
14215:
14205:
14200:
14195:
14190:
14185:
14180:
14175:
14170:
14165:
14159:
14157:
14151:
14150:
14148:
14147:
14142:
14137:
14132:
14127:
14122:
14117:
14112:
14107:
14102:
14097:
14092:
14087:
14082:
14076:
14074:
14068:
14067:
14065:
14064:
14062:Prime meridian
14059:
14054:
14052:Ephemeris time
14048:
14046:
14042:
14041:
14028:
14026:
14024:
14023:
14021:180th meridian
14018:
14013:
14008:
14003:
13998:
13993:
13988:
13983:
13978:
13973:
13968:
13963:
13958:
13953:
13948:
13943:
13938:
13933:
13928:
13923:
13918:
13917:
13916:
13905:
13903:
13899:
13898:
13896:
13895:
13890:
13885:
13879:
13876:
13875:
13864:
13863:
13856:
13849:
13841:
13832:
13831:
13829:
13828:
13823:
13818:
13812:
13810:
13806:
13805:
13803:
13802:
13797:
13792:
13786:
13784:
13780:
13779:
13772:
13771:
13764:
13757:
13749:
13740:
13739:
13737:
13736:
13726:
13715:
13712:
13711:
13709:
13708:
13703:
13698:
13693:
13686:
13681:
13676:
13671:
13666:
13660:
13658:
13654:
13653:
13650:
13649:
13647:
13646:
13644:Time geography
13641:
13636:
13634:Clock reaction
13631:
13630:
13629:
13619:
13613:
13611:
13607:
13606:
13604:
13603:
13598:
13593:
13588:
13583:
13578:
13573:
13568:
13563:
13558:
13553:
13547:
13545:
13539:
13538:
13536:
13535:
13530:
13525:
13524:
13523:
13518:
13513:
13508:
13503:
13498:
13487:
13485:
13476:
13469:
13468:
13466:
13465:
13452:
13447:
13442:
13437:
13436:
13435:
13433:time signature
13430:
13420:
13415:
13410:
13404:
13402:
13391:
13390:
13388:
13387:
13386:
13385:
13375:
13374:
13373:
13363:
13358:
13353:
13348:
13343:
13337:
13335:
13333:
13332:
13327:
13321:
13318:
13317:
13315:
13314:
13307:
13305:Temporal parts
13302:
13297:
13292:
13287:
13282:
13277:
13275:Eternal return
13272:
13267:
13262:
13260:Chronocentrism
13257:
13252:
13246:
13244:
13238:
13237:
13235:
13234:
13229:
13224:
13219:
13214:
13209:
13204:
13198:
13196:
13194:
13193:
13188:
13182:
13179:
13178:
13175:
13174:
13172:
13171:
13170:
13169:
13155:
13150:
13145:
13140:
13139:
13138:
13133:
13132:
13131:
13126:
13116:
13111:
13106:
13101:
13100:
13099:
13089:
13088:
13087:
13071:
13069:
13063:
13062:
13060:
13059:
13052:
13047:
13045:Hindu Panchang
13042:
13037:
13032:
13027:
13022:
13017:
13012:
13011:
13010:
13005:
13000:
12989:
12987:
12981:
12980:
12978:
12977:
12972:
12967:
12962:
12957:
12952:
12947:
12942:
12937:
12932:
12927:
12922:
12917:
12912:
12907:
12901:
12899:
12891:
12890:
12888:
12887:
12882:
12877:
12872:
12867:
12861:
12859:
12850:
12839:
12838:
12836:
12835:
12830:
12825:
12820:
12814:
12812:
12808:
12807:
12800:
12799:
12792:
12785:
12777:
12769:
12768:
12761:
12741:
12716:
12690:
12664:
12638:
12576:
12550:Chen, Sophia.
12542:
12516:
12492:
12466:
12440:
12414:
12392:
12366:
12333:
12303:
12272:
12246:
12220:
12188:
12177:
12143:
12126:insidegnss.com
12113:
12081:
12051:
12021:
11995:
11963:
11937:
11911:
11879:
11847:
11818:
11792:
11760:
11730:
11704:
11693:on 28 May 2017
11678:
11645:
11615:
11589:
11552:
11523:
11497:
11490:
11469:
11443:
11386:
11372:
11318:
11267:
11194:
11168:
11100:
11078:
11025:
10988:(6): 563–569.
10971:
10938:Nature Physics
10925:
10899:
10846:
10820:
10755:
10698:
10629:
10578:
10500:
10469:
10409:(10): 103201.
10384:
10353:
10327:
10294:
10209:
10140:
10109:
10078:
10051:
10004:(6896): 6896.
9976:
9916:(7486): 71–5.
9893:
9867:
9837:
9790:
9759:
9733:
9707:
9673:
9647:
9621:
9589:
9538:Optics Express
9524:
9503:
9467:
9430:
9364:
9349:
9319:
9251:
9225:
9170:
9144:
9133:. 3 March 2017
9118:
9092:
9061:
9035:
8971:
8945:
8878:
8829:
8780:
8745:
8671:
8656:Conover, Emily
8647:
8622:
8615:
8608:
8601:
8578:
8509:
8502:
8496:
8484:
8480:
8472:
8468:
8453:
8449:
8395:
8385:630(15) s
8368:
8313:
8284:
8220:
8156:
8094:
8030:
7966:
7924:(2): 181–186.
7901:
7836:
7795:
7762:
7735:
7674:
7591:
7572:
7541:
7515:
7489:
7471:Ahmed, Issam.
7463:
7437:
7400:(7): 981–985.
7380:
7354:
7289:
7263:
7198:
7172:
7140:
7065:
7038:(3): 128–137.
7019:
6987:
6953:
6924:
6887:
6836:
6814:
6783:
6753:
6727:
6693:
6667:
6642:
6616:
6605:. 20 July 2021
6590:
6572:
6535:(3): 623–628.
6513:
6472:
6445:(4): 887–894.
6427:
6412:
6392:
6377:
6324:
6287:(2): 637–701.
6266:
6206:
6155:
6129:
6108:
6082:
6067:
6043:
6017:
5991:
5961:
5936:
5910:
5884:
5854:
5832:
5795:
5769:
5744:
5718:
5692:
5666:
5651:
5606:
5595:on 25 May 2013
5569:
5528:
5502:
5429:
5360:
5334:
5251:
5225:
5199:
5140:
5075:
5049:
5042:
5021:
4994:
4947:
4934:
4905:Les Prix Nobel
4894:
4857:(5): 301–320.
4837:
4807:
4760:
4730:
4684:
4645:
4593:
4544:
4517:(8): 652–654.
4497:
4486:. 14 June 2022
4471:
4458:
4423:
4376:
4342:(3): 174–182.
4314:
4296:
4269:
4242:
4241:
4239:
4236:
4233:
4232:
4215:
4201:
4200:
4198:
4195:
4193:
4192:
4187:
4182:
4180:Time metrology
4177:
4175:Speaking clock
4172:
4167:
4162:
4157:
4152:
4147:
4142:
4136:
4135:
4134:
4118:
4115:
4102:
4099:
4063:
4060:
4048:radio receiver
4036:Main article:
4033:
4030:
4017:
4016:Military usage
4014:
4005:
4002:
3910:
3907:
3899:interferometry
3881:
3878:
3869:
3866:
3830:
3826:
3821:
3818:
3813:
3809:
3802:
3799:
3794:
3790:
3766:
3763:
3756:
3752:
3748:
3743:
3739:
3732:
3726:
3721:
3717:
3711:
3706:
3702:
3698:
3691:
3687:
3681:
3677:
3670:
3665:
3661:
3644:
3641:
3612:
3609:
3577:
3572:
3569:
3566:
3562:
3558:
3553:
3550:
3547:
3543:
3538:
3535:
3532:
3529:
3526:
3498:
3475:
3471:
3467:
3463:
3456:
3452:
3449:
3443:
3440:
3411:
3408:
3402:
3399:
3268:10 microkelvin
3131:
3130:
3127:
3124:
3038:
3037:Optical clocks
3035:
2958:
2955:
2954:
2953:
2945:
2941:
2931:quality factor
2920:
2912:
2898:
2890:
2876:
2868:
2809:
2801:
2782:
2774:
2750:Main article:
2747:
2744:
2674:
2673:Quantum clocks
2671:
2664:
2663:
2661:
2656:
2635:
2627:
2626:
2624:
2619:
2598:
2590:
2589:
2587:
2582:
2558:
2550:
2549:
2547:
2542:
2521:
2513:
2512:
2510:
2505:
2487:
2481:
2480:
2478:
2473:
2452:
2446:
2445:
2443:
2438:
2420:
2414:
2413:
2410:
2402:
2395:
2381:
2378:
2353:
2350:
2242:
2239:
2226:
2223:
2220:
2213:
2210:
2207:
2204:
2201:
2195:
2192:
2188:
2166:
2161:
2155:
2151:
2139:
2138:
2127:
2121:
2116:
2112:
2105:
2101:
2095:
2092:
2087:
2084:
2081:
2078:
2075:
2072:
2066:
2062:
2056:
2053:
2050:
2047:
2044:
2041:
2034:
2031:
2025:
2021:
2015:
2012:
2009:
2006:
1999:
1996:
1993:
1990:
1984:
1981:
1977:
1949:
1946:
1943:
1940:
1937:
1915:
1911:
1906:
1900:
1896:
1892:
1889:
1867:
1863:
1842:
1822:
1819:
1816:
1810:
1807:
1801:
1797:
1758:
1754:
1733:
1707:
1685:
1682:
1662:
1636:
1615:
1591:
1588:
1577:
1576:
1565:
1559:
1550:
1538:
1531:
1527:
1521:
1518:
1512:
1509:
1506:
1503:
1496:
1493:
1490:
1487:
1484:
1478:
1475:
1471:
1447:
1444:
1441:
1436:
1432:
1390:
1387:
1361:
1357:
1303:
1300:
1244:hydrogen maser
1231:
1228:
1183:Main article:
1180:
1177:
1175:
1172:
1129:Hydrogen maser
1127:Main article:
1124:
1121:
1115:receiver (see
1085:Main article:
1082:
1079:
1068:.6317 MHz
1035:
1032:
993:Main article:
990:
987:
985:
982:
958:rotating geoid
925:
922:
876:
873:
782:Doppler shifts
726:
725:Time standards
723:
721:
718:
665:
662:
558:
555:
547:optical clocks
494:
491:
402:Alfred Kastler
316:
313:
291:that approach
264:speed of light
248:European Union
189:
185:
120:
119:
116:
112:
111:
106:
102:
101:
92:
88:
87:
78:
74:
73:
68:
67:Classification
64:
63:
60:
52:
51:
36:Doomsday Clock
26:
9:
6:
4:
3:
2:
15104:
15093:
15090:
15088:
15085:
15083:
15080:
15078:
15075:
15073:
15072:Atomic clocks
15070:
15069:
15067:
15052:
15049:
15048:
15046:
15042:
15036:
15033:
15031:
15028:
15026:
15023:
15021:
15018:
15016:
15013:
15011:
15008:
15006:
15003:
15001:
14998:
14997:
14995:
14993:Miscellaneous
14991:
14985:
14982:
14981:
14979:
14977:
14973:
14967:
14964:
14962:
14959:
14957:
14954:
14952:
14949:
14947:
14944:
14942:
14939:
14938:
14936:
14934:
14930:
14924:
14921:
14919:
14916:
14914:
14911:
14909:
14906:
14904:
14901:
14900:
14898:
14896:
14892:
14886:
14883:
14881:
14878:
14876:
14875:Water turbine
14873:
14871:
14870:Steam turbine
14868:
14866:
14863:
14861:
14858:
14856:
14853:
14852:
14850:
14848:
14844:
14838:
14835:
14833:
14830:
14829:
14827:
14825:
14821:
14815:
14812:
14810:
14809:Rotary engine
14807:
14805:
14802:
14800:
14797:
14796:
14794:
14792:
14788:
14782:
14779:
14777:
14774:
14773:
14771:
14769:
14765:
14759:
14756:
14754:
14751:
14749:
14746:
14744:
14743:Hydraulic ram
14741:
14739:
14736:
14734:
14731:
14730:
14728:
14726:
14722:
14718:
14712:
14709:
14707:
14704:
14702:
14699:
14697:
14694:
14693:
14691:
14689:
14685:
14679:
14676:
14674:
14671:
14669:
14666:
14664:
14661:
14659:
14656:
14654:
14651:
14650:
14648:
14646:
14642:
14638:
14631:
14626:
14624:
14619:
14617:
14612:
14611:
14608:
14596:
14593:
14591:
14588:
14586:
14583:
14581:
14578:
14576:
14573:
14571:
14568:
14566:
14563:
14559:
14556:
14555:
14554:
14551:
14549:
14546:
14545:
14543:
14539:
14533:
14530:
14528:
14525:
14523:
14520:
14518:
14515:
14513:
14510:
14508:
14505:
14503:
14500:
14498:
14495:
14493:
14490:
14488:
14485:
14483:
14480:
14478:
14475:
14473:
14470:
14468:
14465:
14463:
14460:
14458:
14455:
14453:
14450:
14448:
14445:
14443:
14440:
14439:
14437:
14435:
14434:units of time
14430:
14424:
14423:Sidereal time
14421:
14419:
14416:
14414:
14411:
14409:
14408:Galactic year
14406:
14405:
14403:
14401:
14397:
14391:
14388:
14386:
14383:
14381:
14378:
14377:
14375:
14371:
14365:
14364:Weekday names
14362:
14360:
14357:
14355:
14354:Tropical year
14352:
14350:
14347:
14345:
14342:
14340:
14337:
14335:
14332:
14330:
14327:
14325:
14322:
14320:
14319:Intercalation
14317:
14315:
14312:
14310:
14307:
14305:
14302:
14300:
14297:
14295:
14292:
14290:
14287:
14285:(lunar Hijri)
14284:
14281:
14279:
14276:
14274:
14271:
14269:
14266:
14264:
14261:
14260:
14258:
14256:
14252:
14246:
14243:
14241:
14238:
14236:
14233:
14231:
14228:
14226:
14223:
14221:
14218:
14214:
14211:
14210:
14209:
14206:
14204:
14201:
14199:
14196:
14194:
14191:
14189:
14186:
14184:
14181:
14179:
14176:
14174:
14171:
14169:
14166:
14164:
14161:
14160:
14158:
14156:
14152:
14146:
14143:
14141:
14138:
14136:
14133:
14131:
14128:
14126:
14125:Time dilation
14123:
14121:
14118:
14116:
14113:
14111:
14108:
14106:
14103:
14101:
14098:
14096:
14093:
14091:
14088:
14086:
14083:
14081:
14078:
14077:
14075:
14073:
14069:
14063:
14060:
14058:
14055:
14053:
14050:
14049:
14047:
14043:
14038:
14032:
14022:
14019:
14017:
14014:
14012:
14009:
14007:
14004:
14002:
13999:
13997:
13994:
13992:
13989:
13987:
13984:
13982:
13979:
13977:
13974:
13972:
13969:
13967:
13964:
13962:
13961:24-hour clock
13959:
13957:
13956:12-hour clock
13954:
13952:
13949:
13947:
13944:
13942:
13939:
13937:
13934:
13932:
13929:
13927:
13924:
13922:
13919:
13915:
13912:
13911:
13910:
13907:
13906:
13904:
13900:
13894:
13891:
13889:
13886:
13884:
13881:
13880:
13877:
13873:
13869:
13862:
13857:
13855:
13850:
13848:
13843:
13842:
13839:
13827:
13824:
13822:
13819:
13817:
13814:
13813:
13811:
13807:
13801:
13798:
13796:
13793:
13791:
13788:
13787:
13785:
13781:
13777:
13770:
13765:
13763:
13758:
13756:
13751:
13750:
13747:
13735:
13727:
13725:
13717:
13716:
13713:
13707:
13704:
13702:
13699:
13697:
13694:
13692:
13691:
13687:
13685:
13682:
13680:
13677:
13675:
13672:
13670:
13667:
13665:
13662:
13661:
13659:
13655:
13645:
13642:
13640:
13637:
13635:
13632:
13628:
13625:
13624:
13623:
13622:Chronobiology
13620:
13618:
13615:
13614:
13612:
13608:
13602:
13599:
13597:
13594:
13592:
13589:
13587:
13584:
13582:
13579:
13577:
13574:
13572:
13569:
13567:
13564:
13562:
13559:
13557:
13556:Arrow of time
13554:
13552:
13549:
13548:
13546:
13544:
13540:
13534:
13531:
13529:
13528:Geochronology
13526:
13522:
13519:
13517:
13514:
13512:
13509:
13507:
13504:
13502:
13499:
13497:
13494:
13493:
13492:
13489:
13488:
13486:
13484:
13480:
13477:
13475:
13470:
13464:
13460:
13456:
13453:
13451:
13448:
13446:
13443:
13441:
13438:
13434:
13431:
13429:
13426:
13425:
13424:
13421:
13419:
13416:
13414:
13411:
13409:
13406:
13405:
13403:
13401:
13396:
13392:
13384:
13381:
13380:
13379:
13378:Wheel of time
13376:
13372:
13369:
13368:
13367:
13364:
13362:
13359:
13357:
13354:
13352:
13349:
13347:
13344:
13342:
13339:
13338:
13336:
13331:
13328:
13326:
13323:
13322:
13319:
13313:
13312:
13308:
13306:
13303:
13301:
13298:
13296:
13293:
13291:
13288:
13286:
13283:
13281:
13278:
13276:
13273:
13271:
13268:
13266:
13263:
13261:
13258:
13256:
13253:
13251:
13248:
13247:
13245:
13243:
13239:
13233:
13230:
13228:
13225:
13223:
13222:Periodization
13220:
13218:
13215:
13213:
13210:
13208:
13205:
13203:
13200:
13199:
13197:
13192:
13189:
13187:
13184:
13183:
13180:
13168:
13167:
13163:
13162:
13161:
13160:
13156:
13154:
13151:
13149:
13148:Digital clock
13146:
13144:
13141:
13137:
13134:
13130:
13127:
13125:
13122:
13121:
13120:
13117:
13115:
13112:
13110:
13107:
13105:
13102:
13098:
13095:
13094:
13093:
13090:
13086:
13083:
13082:
13081:
13078:
13077:
13076:
13073:
13072:
13070:
13068:
13064:
13058:
13057:
13053:
13051:
13048:
13046:
13043:
13041:
13038:
13036:
13033:
13031:
13028:
13026:
13023:
13021:
13018:
13016:
13013:
13009:
13006:
13004:
13001:
12999:
12996:
12995:
12994:
12991:
12990:
12988:
12986:
12982:
12976:
12973:
12971:
12968:
12966:
12963:
12961:
12958:
12956:
12953:
12951:
12948:
12946:
12943:
12941:
12938:
12936:
12933:
12931:
12928:
12926:
12925:Relative hour
12923:
12921:
12920:24-hour clock
12918:
12916:
12915:12-hour clock
12913:
12911:
12908:
12906:
12903:
12902:
12900:
12898:
12892:
12886:
12883:
12881:
12878:
12876:
12873:
12871:
12868:
12866:
12863:
12862:
12860:
12858:
12854:
12851:
12849:
12844:
12840:
12834:
12831:
12829:
12826:
12824:
12821:
12819:
12816:
12815:
12813:
12809:
12805:
12798:
12793:
12791:
12786:
12784:
12779:
12778:
12775:
12764:
12758:
12754:
12753:
12745:
12730:
12726:
12720:
12705:
12701:
12694:
12678:
12674:
12668:
12653:
12649:
12642:
12634:
12630:
12626:
12622:
12618:
12614:
12610:
12606:
12601:
12596:
12592:
12588:
12580:
12565:
12561:
12557:
12553:
12546:
12531:
12527:
12520:
12513:
12509:
12505:
12499:
12497:
12480:
12476:
12470:
12454:
12450:
12444:
12429:
12425:
12418:
12402:
12396:
12381:
12377:
12370:
12354:
12350:
12349:
12344:
12337:
12321:
12317:
12313:
12307:
12291:
12287:
12283:
12276:
12260:
12256:
12250:
12234:
12230:
12224:
12205:
12198:
12192:
12186:
12181:
12166:
12162:
12158:
12154:
12147:
12131:
12127:
12123:
12117:
12098:
12091:
12085:
12069:
12065:
12061:
12055:
12039:
12035:
12031:
12025:
12009:
12005:
11999:
11980:
11973:
11967:
11951:
11947:
11941:
11925:
11921:
11915:
11896:
11889:
11883:
11864:
11857:
11851:
11835:
11831:
11825:
11823:
11806:
11802:
11796:
11777:
11770:
11764:
11748:
11744:
11743:navipedia.net
11740:
11734:
11718:
11714:
11708:
11692:
11688:
11682:
11676:Section 1.2.2
11662:
11655:
11649:
11633:
11629:
11625:
11619:
11603:
11599:
11593:
11574:
11570:
11563:
11556:
11545:
11541:
11534:
11527:
11511:
11507:
11501:
11493:
11487:
11483:
11479:
11473:
11458:
11454:
11447:
11439:
11435:
11430:
11425:
11421:
11417:
11413:
11409:
11405:
11401:
11397:
11390:
11382:
11376:
11368:
11364:
11360:
11356:
11352:
11348:
11344:
11340:
11336:
11332:
11325:
11323:
11314:
11310:
11306:
11302:
11298:
11294:
11290:
11286:
11282:
11278:
11271:
11263:
11259:
11255:
11251:
11247:
11243:
11239:
11235:
11230:
11225:
11222:(7): 073601.
11221:
11217:
11213:
11198:
11182:
11178:
11172:
11164:
11160:
11155:
11150:
11146:
11142:
11138:
11134:
11129:
11124:
11120:
11116:
11112:
11104:
11088:
11082:
11074:
11070:
11066:
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11058:
11054:
11049:
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11040:
11036:
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10987:
10983:
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10943:
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10929:
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10783:
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10759:
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10721:
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10694:
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10686:
10682:
10678:
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10670:
10666:
10661:
10656:
10652:
10648:
10644:
10633:
10625:
10621:
10617:
10613:
10609:
10605:
10601:
10597:
10596:GPS Solutions
10590:
10582:
10566:
10562:
10558:
10554:
10550:
10546:
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10538:
10534:
10529:
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10520:
10516:
10512:
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10484:
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10434:
10430:
10426:
10422:
10417:
10412:
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10404:
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10395:
10388:
10372:
10368:
10364:
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10341:
10337:
10331:
10315:
10311:
10310:
10305:
10298:
10279:
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10271:
10267:
10263:
10259:
10255:
10251:
10247:
10242:
10237:
10233:
10229:
10228:
10220:
10213:
10205:
10201:
10197:
10193:
10189:
10185:
10181:
10177:
10172:
10167:
10163:
10159:
10144:
10128:
10124:
10120:
10113:
10097:
10093:
10089:
10082:
10066:
10062:
10055:
10047:
10043:
10038:
10033:
10029:
10025:
10021:
10017:
10012:
10007:
10003:
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9961:
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9929:
9924:
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9743:
9737:
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9711:
9696:
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9688:
9684:
9677:
9661:
9657:
9651:
9635:
9631:
9625:
9606:
9599:
9593:
9585:
9581:
9577:
9573:
9569:
9565:
9560:
9555:
9551:
9547:
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9434:
9423:
9419:
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9330:
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9311:
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9282:
9277:
9273:
9269:
9265:
9258:
9256:
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9235:
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9217:
9213:
9209:
9205:
9201:
9197:
9193:
9190:(6501): 367.
9189:
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8501:in Th:LiSrAlF
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8341:(18) 182501.
8340:
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7985:(12) 120802.
7984:
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7529:New Scientist
7526:
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6182:
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6171:(12) 124705.
6170:
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6105:
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6078:
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6053:
6047:
6032:
6031:TNW | Science
6028:
6021:
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5623:
5619:
5613:
5611:
5591:
5584:
5578:
5576:
5574:
5565:
5561:
5556:
5551:
5548:(1): 012001.
5547:
5543:
5539:
5532:
5516:
5512:
5506:
5498:
5494:
5490:
5486:
5482:
5478:
5474:
5470:
5466:
5462:
5457:
5452:
5448:
5444:
5440:
5433:
5425:
5421:
5417:
5413:
5409:
5405:
5401:
5397:
5392:
5387:
5383:
5379:
5375:
5364:
5349:
5345:
5338:
5330:
5326:
5321:
5316:
5312:
5308:
5304:
5300:
5296:
5292:
5287:
5282:
5278:
5274:
5270:
5255:
5240:
5236:
5229:
5214:
5210:
5203:
5184:
5180:
5176:
5172:
5168:
5164:
5160:
5159:
5151:
5144:
5136:
5132:
5128:
5124:
5120:
5116:
5112:
5108:
5103:
5098:
5094:
5090:
5086:
5079:
5064:
5060:
5053:
5045:
5039:
5035:
5031:
5025:
5009:
5005:
4998:
4990:
4986:
4982:
4978:
4974:
4970:
4967:(12): 23–30.
4966:
4962:
4961:Physics Today
4958:
4951:
4937:
4931:
4927:
4923:
4919:
4915:
4913:
4910:
4906:
4898:
4890:
4886:
4881:
4876:
4872:
4868:
4864:
4860:
4856:
4852:
4848:
4841:
4825:
4821:
4817:
4811:
4802:
4798:
4794:
4790:
4786:
4782:
4779:(4476): 280.
4778:
4774:
4770:
4764:
4748:
4744:
4740:
4734:
4726:
4722:
4718:
4714:
4710:
4706:
4702:
4698:
4694:
4688:
4669:
4665:
4658:
4657:
4649:
4630:
4626:
4622:
4621:
4613:
4606:
4604:
4602:
4600:
4598:
4589:
4585:
4580:
4575:
4571:
4567:
4563:
4559:
4555:
4548:
4540:
4536:
4532:
4528:
4524:
4520:
4516:
4512:
4508:
4501:
4485:
4481:
4475:
4461:
4459:9780444508713
4455:
4451:
4447:
4443:
4439:
4432:
4430:
4428:
4419:
4415:
4411:
4407:
4403:
4399:
4395:
4391:
4387:
4380:
4373:
4349:
4345:
4341:
4337:
4336:
4328:
4321:
4319:
4310:
4306:
4300:
4284:
4280:
4273:
4257:
4253:
4247:
4243:
4219:
4212:
4206:
4202:
4191:
4190:Optical clock
4188:
4186:
4185:Time transfer
4183:
4181:
4178:
4176:
4173:
4171:
4168:
4166:
4163:
4161:
4158:
4156:
4153:
4151:
4148:
4146:
4143:
4141:
4138:
4137:
4132:
4126:
4121:
4114:
4112:
4108:
4098:
4096:
4084:
4080:
4075:
4072:
4068:
4059:
4057:
4053:
4049:
4045:
4039:
4029:
4023:
4013:
4011:
4001:
3998:
3994:
3990:
3985:
3981:
3979:
3973:
3971:
3967:
3963:
3960:
3951:
3947:
3944:
3940:
3935:
3933:
3927:
3925:
3920:
3916:
3906:
3904:
3900:
3895:
3891:
3887:
3877:
3875:
3865:
3863:
3858:
3856:
3851:121.5 nm
3846:
3828:
3824:
3819:
3816:
3807:
3800:
3797:
3792:
3788:
3764:
3761:
3754:
3750:
3746:
3741:
3737:
3730:
3724:
3719:
3715:
3709:
3704:
3700:
3696:
3689:
3685:
3679:
3675:
3668:
3659:
3650:
3640:
3630:
3610:
3594:
3575:
3570:
3567:
3564:
3560:
3556:
3551:
3548:
3545:
3541:
3536:
3530:
3524:
3516:
3512:
3496:
3473:
3469:
3465:
3461:
3454:
3450:
3441:
3438:
3429:
3418:
3407:
3398:
3396:
3392:
3388:
3383:
3381:
3377:
3372:
3368:
3356:
3345:
3342:
3307:
3303:
3301:
3297:
3293:
3281:
3276:
3256:10 years
3249:
3245:
3233:
3232:ytterbium-171
3228:
3226:
3214:
3201:
3199:
3190:
3185:
3181:
3179:
3175:
3171:
3167:
3163:
3159:
3155:
3151:
3147:
3142:
3140:
3136:
3128:
3125:
3122:
3121:
3120:
3117:
3115:
3111:
3107:
3102:
3099:
3095:
3091:
3087:
3083:
3080:
3075:
3073:
3069:
3065:
3061:
3056:
3048:
3043:
3034:
3024:
3020:
3015:
3005:
3001:
2987:
2984:
2980:
2976:
2970:
2964:
2951:
2946:
2942:
2939:
2938:
2937:
2934:
2932:
2906:
2884:
2861:
2795:
2794:nuclear clock
2791:
2786:
2767:
2763:
2759:
2753:
2752:Nuclear clock
2743:
2741:
2740:ytterbium-171
2737:
2733:
2728:
2717:
2707:
2702:
2698:
2694:
2690:
2686:
2680:
2679:Quantum clock
2670:
2662:
2657:
2636:
2633:
2629:
2628:
2625:
2620:
2599:
2596:
2592:
2591:
2588:
2583:
2559:
2556:
2552:
2551:
2548:
2543:
2522:
2519:
2515:
2514:
2511:
2506:
2488:
2486:
2483:
2482:
2479:
2474:
2453:
2451:
2448:
2447:
2444:
2439:
2437:
2421:
2419:
2416:
2415:
2411:
2407:
2403:
2400:
2396:
2393:
2392:
2389:
2387:
2377:
2375:
2371:
2363:
2358:
2349:
2347:
2342:
2340:
2336:
2332:
2328:
2324:
2315:
2312:
2308:
2304:
2300:
2283:
2281:
2280:Dave Wineland
2277:
2273:
2260:
2252:
2247:
2238:
2221:
2193:
2190:
2186:
2164:
2159:
2153:
2149:
2125:
2119:
2114:
2110:
2103:
2099:
2093:
2090:
2082:
2079:
2073:
2070:
2064:
2060:
2051:
2045:
2042:
2039:
2023:
2019:
2013:
2007:
1982:
1979:
1975:
1967:
1966:
1965:
1963:
1947:
1944:
1941:
1938:
1935:
1913:
1909:
1904:
1898:
1894:
1890:
1887:
1865:
1861:
1840:
1817:
1799:
1795:
1786:
1782:
1778:
1772:
1756:
1752:
1731:
1723:
1705:
1683:
1660:
1634:
1613:
1605:
1604:spectroscopic
1589:
1563:
1557:
1548:
1536:
1529:
1525:
1519:
1510:
1504:
1476:
1473:
1469:
1461:
1460:
1459:
1442:
1434:
1430:
1422:
1417:
1415:
1409:
1405:
1388:
1377:
1359:
1355:
1345:
1339:
1336:
1332:
1331:crystal watch
1329:
1326:changes in a
1325:
1321:
1317:
1313:
1309:
1299:
1297:
1293:
1287:
1285:
1281:
1276:
1274:
1270:
1267:
1263:
1257:
1255:
1254:
1249:
1245:
1241:
1237:
1227:
1225:
1221:
1217:
1212:
1210:
1209:absolute zero
1206:
1186:
1171:
1169:
1165:
1161:
1155:
1153:
1149:
1143:
1135:
1130:
1120:
1118:
1114:
1101:
1093:
1088:
1078:
1076:
1071:
1061:
1057:
1053:
1049:
1040:
1034:Block diagram
1031:
1028:
1024:
1020:
1015:
1013:
1009:
1005:
1001:
996:
981:
979:
973:
971:
965:
963:
959:
955:
949:
943:
938:
930:
921:
919:
915:
910:
907:
901:
899:
895:
891:
887:
883:
872:
870:
867:
863:
851:
841:
825:
821:
817:
812:
810:
807:to provide a
806:
802:
797:
791:
787:
783:
779:
775:
771:
767:
763:
759:
755:
751:
747:
743:
738:
736:
732:
717:
715:
714:optical combs
711:
707:
703:
700:
698:
694:
689:
683:
679:
670:
661:
630:
617:precision of
616:
612:
608:
604:
600:
596:
587:
584:
580:
572:
568:
563:
554:
553:around 2030.
552:
548:
544:
540:
536:
532:
528:
524:
523:tropical year
490:
488:
484:
480:
475:
473:
469:
465:
461:
457:
453:
449:
445:
441:
437:
433:
428:
426:
421:
419:
415:
411:
407:
403:
394:
390:
388:
384:
380:
376:
372:
371:quartz clocks
368:
363:
361:
357:
352:
350:
346:
341:
337:
329:
325:
321:
312:
306:
302:
298:
294:
293:absolute zero
290:
286:
281:
277:1,000,000,000
269:
265:
261:
257:
253:
249:
245:
240:
238:
234:
230:
226:
220:
187:
173:
171:
167:
163:
159:
155:
154:energy levels
151:
147:
139:
135:
131:
126:
117:
113:
110:
107:
103:
100:
96:
93:
89:
86:
82:
79:
75:
72:
69:
65:
58:
53:
48:
45:
41:
37:
33:
19:
18:Optical clock
15010:Agricultural
14865:Quasiturbine
14776:Steam engine
14711:Quartz clock
14696:Atomic clock
14695:
14570:Decimal time
14299:Astronomical
14178:Complication
14173:Atomic clock
14172:
13821:Atomic clock
13820:
13816:Quartz clock
13696:Time capsule
13690:Tempus fugit
13688:
13610:Other fields
13309:
13290:Perdurantism
13212:Calendar era
13164:
13157:
13143:Cuckoo clock
13091:
13080:astronomical
13054:
12880:Unit of time
12811:Key concepts
12751:
12744:
12732:. Retrieved
12728:
12719:
12707:. Retrieved
12703:
12693:
12681:. Retrieved
12676:
12667:
12655:. Retrieved
12651:
12641:
12590:
12586:
12579:
12567:. Retrieved
12555:
12545:
12533:. Retrieved
12529:
12519:
12483:. Retrieved
12478:
12469:
12457:. Retrieved
12452:
12443:
12431:. Retrieved
12427:
12417:
12405:. Retrieved
12395:
12383:. Retrieved
12379:
12369:
12357:. Retrieved
12346:
12336:
12324:. Retrieved
12320:the original
12315:
12306:
12294:. Retrieved
12286:livemint.com
12285:
12275:
12263:. Retrieved
12249:
12237:. Retrieved
12223:
12211:. Retrieved
12191:
12180:
12168:. Retrieved
12156:
12146:
12134:. Retrieved
12130:the original
12125:
12116:
12104:. Retrieved
12084:
12072:. Retrieved
12063:
12054:
12042:. Retrieved
12033:
12024:
12012:. Retrieved
12008:the original
11998:
11986:. Retrieved
11966:
11954:. Retrieved
11940:
11928:. Retrieved
11914:
11902:. Retrieved
11882:
11870:. Retrieved
11863:the original
11850:
11838:. Retrieved
11809:. Retrieved
11795:
11783:. Retrieved
11763:
11751:. Retrieved
11742:
11733:
11721:. Retrieved
11717:the original
11707:
11695:. Retrieved
11691:the original
11681:
11668:. Retrieved
11648:
11636:. Retrieved
11627:
11618:
11606:. Retrieved
11592:
11580:. Retrieved
11568:
11555:
11539:
11526:
11514:. Retrieved
11510:the original
11500:
11481:
11472:
11460:. Retrieved
11456:
11446:
11403:
11399:
11389:
11375:
11334:
11330:
11280:
11276:
11270:
11219:
11215:
11212:Uncertainty"
11197:
11185:. Retrieved
11180:
11171:
11118:
11114:
11103:
11091:. Retrieved
11081:
11038:
11034:
11028:
10985:
10981:
10974:
10944:(2): 82–83.
10941:
10937:
10928:
10916:. Retrieved
10902:
10859:
10855:
10849:
10837:. Retrieved
10823:
10772:
10768:
10758:
10715:
10711:
10701:
10653:(3) 033201.
10650:
10646:
10632:
10599:
10595:
10581:
10569:. Retrieved
10518:
10514:
10503:
10491:. Retrieved
10482:
10472:
10460:. Retrieved
10406:
10400:
10387:
10375:. Retrieved
10366:
10356:
10344:. Retrieved
10330:
10318:. Retrieved
10307:
10297:
10285:. Retrieved
10278:the original
10231:
10225:
10212:
10164:(6) 063001.
10161:
10157:
10143:
10131:. Retrieved
10122:
10112:
10100:. Retrieved
10091:
10081:
10069:. Retrieved
10065:the original
10061:"About Time"
10054:
10001:
9997:
9979:
9967:. Retrieved
9913:
9909:
9896:
9884:. Retrieved
9870:
9858:. Retrieved
9849:
9840:
9828:. Retrieved
9803:
9793:
9781:. Retrieved
9772:
9762:
9750:. Retrieved
9745:
9736:
9724:. Retrieved
9710:
9698:. Retrieved
9686:
9676:
9664:. Retrieved
9650:
9638:. Retrieved
9624:
9612:. Retrieved
9592:
9541:
9537:
9527:
9506:
9494:. Retrieved
9482:
9458:. Retrieved
9451:the original
9446:
9433:
9422:the original
9396:(2) 020801.
9393:
9387:
9332:
9322:
9271:
9267:
9244:21 September
9242:. Retrieved
9237:
9228:
9187:
9183:
9173:
9161:. Retrieved
9156:
9147:
9135:. Retrieved
9130:
9121:
9109:. Retrieved
9105:
9095:
9083:. Retrieved
9064:
9052:. Retrieved
9048:
9038:
8989:
8985:
8974:
8962:. Retrieved
8948:
8895:
8891:
8881:
8846:
8842:
8832:
8797:
8793:
8783:
8771:. Retrieved
8755:
8748:
8732:
8689:(4) 042501.
8686:
8680:
8674:
8663:
8650:
8640:(2) kHz
8619:
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8568:
8561:
8558:
8528:
8522:
8512:
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8414:(1) 013201.
8411:
8405:
8398:
8375:, frequency
8366:
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8236:
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8172:
8166:
8159:
8108:
8104:
8097:
8046:
8040:
8033:
7982:
7978:
7959:11 September
7957:. Retrieved
7950:the original
7921:
7917:
7904:
7853:
7849:
7839:
7812:
7808:
7798:
7779:
7775:
7765:
7753:. Retrieved
7738:
7690:(3) 033201.
7687:
7683:
7677:
7665:. Retrieved
7614:(7) 070802.
7611:
7607:
7594:
7575:
7563:. Retrieved
7554:
7544:
7532:. Retrieved
7528:
7518:
7506:. Retrieved
7501:
7492:
7480:. Retrieved
7476:
7466:
7454:. Retrieved
7449:
7440:
7397:
7393:
7383:
7371:. Retrieved
7357:
7309:(6) 063001.
7306:
7302:
7292:
7280:. Retrieved
7266:
7218:(3) 033201.
7215:
7211:
7201:
7189:. Retrieved
7175:
7163:. Retrieved
7143:
7133:26 September
7131:. Retrieved
7088:(5) 052503.
7085:
7081:
7068:
7035:
7031:
7022:
7010:. Retrieved
6990:
6978:. Retrieved
6965:
6956:
6937:
6927:
6915:. Retrieved
6903:
6890:
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6849:
6839:
6817:
6805:. Retrieved
6796:
6786:
6774:. Retrieved
6765:
6756:
6744:. Retrieved
6740:
6730:
6718:. Retrieved
6706:
6701:Mann, Adam.
6696:
6684:. Retrieved
6679:
6670:
6658:. Retrieved
6654:
6645:
6633:. Retrieved
6629:
6619:
6607:. Retrieved
6602:
6593:
6532:
6526:
6516:
6491:
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6226:
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6209:
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6164:
6158:
6149:
6145:
6132:
6121:, retrieved
6095:
6085:
6070:
6058:. Retrieved
6046:
6034:. Retrieved
6030:
6020:
6008:. Retrieved
6005:SciTechDaily
6004:
5994:
5982:. Retrieved
5973:
5964:
5952:. Retrieved
5948:
5939:
5927:. Retrieved
5923:
5913:
5901:. Retrieved
5897:
5887:
5875:. Retrieved
5841:
5835:
5824:, retrieved
5804:
5798:
5789:
5760:. Retrieved
5756:
5747:
5735:. Retrieved
5731:
5721:
5709:. Retrieved
5705:
5695:
5683:. Retrieved
5679:
5669:
5660:
5654:
5630:. Retrieved
5626:the original
5597:. Retrieved
5590:the original
5545:
5541:
5531:
5519:. Retrieved
5515:Science News
5514:
5505:
5446:
5442:
5432:
5384:(3) 033201.
5381:
5377:
5363:
5351:. Retrieved
5347:
5337:
5276:
5272:
5254:
5242:. Retrieved
5238:
5228:
5216:. Retrieved
5212:
5202:
5190:. Retrieved
5162:
5156:
5143:
5095:(5) 055009.
5092:
5088:
5078:
5066:. Retrieved
5062:
5052:
5033:
5024:
5012:. Retrieved
5008:the original
4997:
4964:
4960:
4950:
4939:, retrieved
4917:
4911:
4908:
4904:
4897:
4854:
4850:
4840:
4828:. Retrieved
4819:
4810:
4776:
4772:
4763:
4751:. Retrieved
4742:
4733:
4700:
4696:
4687:
4675:. Retrieved
4655:
4648:
4636:. Retrieved
4627:(4): 74–89.
4624:
4618:
4561:
4557:
4547:
4514:
4510:
4500:
4488:. Retrieved
4483:
4474:
4463:, retrieved
4441:
4396:(3): S1–S3.
4393:
4389:
4379:
4351:
4339:
4333:
4308:
4299:
4287:. Retrieved
4282:
4272:
4260:. Retrieved
4246:
4218:
4205:
4170:Pulsar clock
4104:
4076:
4065:
4041:
4019:
4007:
3997:Asia-Pacific
3986:
3982:
3974:
3956:
3936:
3932:leap seconds
3928:
3912:
3883:
3880:Applications
3874:fiber-optics
3871:
3868:Requirements
3859:
3847:
3646:
3595:
3514:
3510:
3430:
3413:
3404:
3384:
3373:
3369:
3357:
3313:
3277:
3258:); this was
3229:
3213:strontium-87
3202:
3194:
3143:
3132:
3118:
3103:
3076:
3060:John L. Hall
3052:
3016:
2988:
2971:
2960:
2935:
2862:
2757:
2755:
2736:strontium-87
2729:
2718:
2682:
2667:
2383:
2367:
2343:
2325:'s NPL-CsF2
2316:
2284:
2255:
2140:
1773:
1578:
1418:
1410:
1403:
1343:
1340:
1305:
1295:
1291:
1288:
1277:
1258:
1251:
1233:
1224:derived unit
1213:
1201: cycles
1188:
1156:
1144:
1140:
1102:
1100:the second.
1098:
1072:
1045:
1016:
1002:
998:
974:
966:
950:
939:
935:
911:
902:
878:
864:
852:
813:
798:
739:
735:energy state
728:
706:Metrologists
704:
701:
675:
631:
588:
576:
496:
476:
455:
429:
422:
406:Jean Brossel
399:
364:
353:
333:
289:temperatures
282:
246:such as the
241:
233:leap seconds
222:
175:
146:atomic clock
145:
143:
50:Atomic clock
44:
15025:Wind tunnel
14941:Vacuum tube
14933:Electronics
14855:Gas turbine
14799:Gas turbine
14758:Vacuum pump
14721:Compressors
14701:Chronometer
14580:System time
14575:Metric time
14294:Solar Hijri
14220:Water clock
14203:Radio clock
14135:Time domain
14115:Proper time
14001:Leap second
13883:Chronometry
13826:Radio clock
13706:Time travel
13684:System time
13591:Time domain
13576:Proper time
13400:use of time
13371:Father Time
13351:Immortality
13341:Ages of Man
13270:Endurantism
13227:Regnal year
13207:Big History
13136:water-based
13035:Solar Hijri
12945:Hexadecimal
12895:Measurement
12857:Chronometry
12843:Measurement
12734:16 February
12709:16 February
12683:16 February
12657:17 February
12569:15 February
12535:16 February
12485:15 February
12459:15 February
12433:20 February
12407:20 February
12385:20 February
12296:27 December
12265:27 December
12170:15 February
11840:30 December
11811:15 December
11600:. Galleon.
11462:15 February
11187:23 November
11093:20 February
10839:29 December
10571:16 February
9969:5 September
9752:11 February
9700:15 February
9496:11 February
9163:16 February
9137:11 February
9111:14 February
9054:16 February
8964:13 November
8665:ScienceNews
7815:(11) 2194.
7755:4 September
7534:11 February
7508:11 February
7482:11 February
7456:11 February
7446:"StackPath"
6966:SI Brochure
6917:11 February
6746:20 February
6720:15 February
6686:20 February
6660:20 February
6655:EurekAlert!
6635:20 February
6123:16 December
6060:24 February
6036:16 February
6010:16 February
5954:19 February
5929:19 February
5903:19 February
5762:17 February
5737:11 February
5521:22 February
5353:21 February
5244:21 February
5218:16 February
5192:25 February
5068:16 February
5057:Fox, Alex.
5014:16 February
4830:20 November
4262:23 November
4150:Dick effect
4145:Clock drift
4044:radio clock
4038:Radio clock
3924:nanoseconds
3894:time signal
3209: atoms
3114:phase noise
3092:instead of
3079:femtosecond
2634:, 688 THz)
2597:, 642 THz)
1777:Dick effect
1335:temperature
1273:demodulated
906:nanoseconds
809:proper time
387:Louis Essen
375:Lord Kelvin
340:light waves
324:Louis Essen
305:uncertainty
109:Electricity
105:Fuel source
91:Application
32:Radio clock
15066:Categories
14984:Automobile
14946:Transistor
14860:Jet engine
14832:Pantograph
14595:Timekeeper
14548:Chronology
14532:Millennium
14418:Precession
14324:Julian day
14145:T-symmetry
14006:Solar time
13976:Civil time
13809:Electronic
13408:Chronemics
13383:Kalachakra
13295:Presentism
13280:Eternalism
13186:Chronology
13124:mechanical
13075:Main types
12993:Main types
12600:2109.12238
12074:30 January
12044:30 January
11956:1 February
11930:16 January
11608:12 October
11229:1609.06183
11128:2308.12457
11041:(2): 673.
10995:1511.03888
10782:2109.12237
10725:1807.11282
10660:1902.07694
10528:2006.07501
10416:1711.08540
10241:1702.01210
10171:1602.03908
10102:17 October
9886:19 January
9783:5 December
9726:5 December
9666:3 November
9640:3 November
9518:2004.09987
9281:1909.05384
8905:1511.07735
8773:2 December
8696:1801.05205
8538:2406.18719
8421:2404.12311
8246:1905.06308
8182:1902.04823
8118:1709.05325
8056:1710.11398
7856:(1) 8022.
7697:1902.07694
7667:9 February
7407:1507.04754
7373:9 December
7316:1602.03908
7282:9 December
7225:1902.07694
7191:9 December
7032:Metrologia
6830:1709.03256
6807:18 October
5632:17 January
5555:2307.14141
5542:Metrologia
5456:2109.12238
5391:1902.07694
5279:(1) 6896.
5102:1911.05551
5089:Metrologia
4753:17 October
4638:24 October
4564:(4): 318.
4390:Metrologia
4335:Metrologia
4238:References
3598:10 Hz
3341:degenerate
3168:, Ca, Yb,
3094:microwaves
3045:May 2009–
3002:(879
2981:, both in
2858:10 Hz
2840:2 kHz
2790:gamma rays
2788:produces "
2412:Reference
1248:microwaves
1109:10 mm
840:calibrated
693:milliwatts
483:Atomichron
268:nanosecond
15087:Metrology
14961:Capacitor
14923:Propeller
14492:Fortnight
14339:Lunisolar
14329:Leap year
14263:Gregorian
14213:stopwatch
14188:Hourglass
14168:Astrarium
14085:Spacetime
14016:Time zone
13893:Metrology
13872:standards
13664:Leap year
13581:Spacetime
13455:Yesterday
13356:Dreamtime
13330:Mythology
13217:Deep time
13129:stopwatch
13104:hourglass
13085:astrarium
13015:Gregorian
13008:Lunisolar
12985:Calendars
12975:Time zone
12848:standards
12633:237940816
12564:1059-1028
12213:5 October
12165:0362-4331
12136:5 October
12106:5 October
11904:5 October
11872:3 October
11785:2 October
11753:2 October
11697:4 October
11670:4 October
11638:4 October
11420:2095-5138
11246:0031-9007
11073:119116973
11048:1407.3493
11020:119112716
10966:119938546
10894:118430700
10869:1401.2378
10815:237940240
10693:119075546
10677:0031-9007
10624:233030680
10602:(3): 83.
10561:229300882
10274:206656201
10123:The Verge
10011:1412.8261
9923:1309.1137
9860:24 August
9830:24 August
9820:124850552
9695:1059-1028
9584:239652525
9568:1094-4087
9491:1357-0978
9359:245520666
9314:202565677
9306:2399-3650
9274:(1) 153.
9212:0036-8075
9030:232355391
9014:1476-4687
8898:: 12443.
8739:1 μs
8475: GHz
8279:155090121
8215:119083861
8089:205248786
7992:1110.2490
7946:250818523
7878:2045-2322
7831:115531283
7730:119075546
7621:0911.4527
7258:119075546
7060:250828528
6972:. 2014 .
6715:1059-1028
6542:0909.0909
6372:118430700
6347:1401.2378
6319:119116973
6294:1407.3493
6261:118430700
6236:1401.2378
6201:245079164
5864:1994-9405
5497:246902611
5481:0028-0836
5424:119075546
5408:0031-9007
5311:2041-1723
5286:1412.8261
5135:202129810
5127:0026-1394
4989:0031-9228
4871:0160-1741
4769:Essen, L.
4693:Essen, L.
4588:0031-899X
4539:0031-899X
4418:122631200
4410:0026-1394
4370:80 K
4074:scales.
4020:In 2022,
3812:∞
3801:−
3798:≈
3751:α
3701:ε
3664:∞
3608:Δ
3576:τ
3549:π
3531:τ
3525:σ
3497:σ
3448:Δ
3442:∝
3439:σ
3344:Fermi gas
3278:In 2015,
3110:bandwidth
3098:terahertz
2927:10 s
2734:based on
2706:magnesium
2697:aluminium
2693:beryllium
2404:Relative
2362:strontium
2307:ytterbium
2303:strontium
2293:and even
2222:τ
2187:σ
2165:τ
2120:τ
2104:⋅
2091:π
2080:π
2074:
2061:⋅
2046:
2020:σ
2014:≈
2008:τ
1976:σ
1841:τ
1818:τ
1796:σ
1753:ν
1732:τ
1684:ν
1681:Δ
1661:τ
1590:ν
1587:Δ
1558:τ
1526:ν
1520:ν
1517:Δ
1511:≈
1505:τ
1470:σ
1443:τ
1431:σ
1414:precision
1389:ν
1386:Δ
1376:resonance
1356:ν
1292:dead time
1266:modulated
1250:(the gas
1075:resonance
790:blackbody
742:metrology
731:microwave
710:ion traps
686:125
642:1 mm
615:frequency
607:strontium
595:ytterbium
567:ytterbium
466:, Bomac,
400:In 1949,
188:ν
184:Δ
158:frequency
138:Microsemi
14976:Vehicles
14966:Inductor
14956:Resistor
14895:Aerofoil
14885:Windmill
14824:Linkages
14637:Machines
14553:Duration
14527:Saeculum
14507:Olympiad
14349:Solstice
14278:Holocene
14255:Calendar
14155:Horology
13946:ISO 8601
13941:ISO 31-1
13724:Category
13472:Time in
13463:Tomorrow
13325:Religion
13265:Duration
13232:Timeline
13166:Timeline
12965:Sidereal
12833:Eternity
12625:35173346
12508:Archived
12359:29 April
12353:Archived
12290:Archived
12259:Archived
12233:Archived
12204:Archived
12097:Archived
12068:Archived
12038:Archived
11988:28 March
11979:Archived
11950:Archived
11924:Archived
11895:Archived
11834:Archived
11805:Archived
11776:Archived
11747:Archived
11661:Archived
11632:Archived
11602:Archived
11582:27 April
11573:Archived
11569:GPSworld
11544:Archived
11438:34691520
11359:21930568
11305:21930568
11262:40822816
11254:28256845
11163:38658684
11154:11043038
10912:Archived
10910:. BIPM.
10833:Archived
10831:. BIPM.
10807:35173344
10750:30487601
10685:31386450
10565:Archived
10553:33328668
10493:30 March
10487:Archived
10462:30 March
10453:Archived
10441:29570334
10377:30 March
10371:Archived
10346:29 March
10340:Archived
10320:29 March
10314:Archived
10309:Wired UK
10287:29 March
10266:28983047
10204:19870627
10196:26918984
10127:Archived
10096:Archived
10046:25898253
9960:Archived
9948:24463513
9880:Archived
9854:Archived
9824:Archived
9777:Archived
9720:Archived
9660:Archived
9634:Archived
9605:Archived
9576:34809077
9483:Wired UK
9418:16907426
9220:32675346
9079:Archived
9022:33762766
8958:Archived
8940:27503795
8873:26040875
8824:26040875
8764:Archived
8729:37518294
8721:28186791
8555:39232152
8456: nm
8438:39042795
8363:38759160
8271:31511684
8207:31511686
8143:29670266
8081:27147026
8025:40863227
8017:22540568
7896:29789631
7749:Archived
7722:31386450
7658:Archived
7654:13936087
7646:20366869
7583:Archived
7559:Archived
7477:phys.org
7432:20466105
7424:26863657
7367:Archived
7349:19870627
7341:26918984
7276:Archived
7250:31386450
7185:Archived
7156:Archived
7124:Archived
7028:Essen, L
7003:Archived
6974:Archived
6908:Archived
6882:34691520
6801:Archived
6770:Archived
6630:phys.org
6567:10581032
6559:20211780
6467:12303876
6459:18244242
6193:34972462
6114:archived
6093:(2006),
5978:Archived
5868:Archived
5817:archived
5644:Archived
5640:NIST.gov
5489:35173346
5416:31386450
5329:25898253
5183:Archived
4889:34566107
4824:Archived
4747:Archived
4668:Archived
4629:Archived
4289:30 April
4256:Archived
4117:See also
3978:rubidium
3890:Internet
3489:, where
3260:10 times
3021:(1
2944:orbital.
2370:accurate
2352:Research
2241:Accuracy
2178:as does
1312:pendulum
1166:such as
1142:second.
1123:Hydrogen
1081:Rubidium
1023:nitrogen
1019:hydrogen
956:and the
900:system.
866:Hydrogen
824:rubidium
762:Maryland
758:Colorado
603:aluminum
535:kilogram
260:accuracy
77:Industry
15044:Springs
14847:Turbine
14522:Century
14512:Lustrum
14442:Instant
14314:Equinox
14283:Islamic
14225:Sundial
14090:Chronon
13734:Commons
13657:Related
13571:Instant
13561:Chronon
13543:Physics
13483:Geology
13474:science
13346:Destiny
13191:History
13159:History
13114:sundial
13097:quantum
13040:Chinese
13030:Islamic
12940:Decimal
12935:Chinese
12897:systems
12823:Present
12605:Bibcode
12326:23 June
12316:Reuters
12239:22 June
12014:3 March
11516:26 June
11429:8288775
11367:6896025
11339:Bibcode
11313:6896025
11285:Bibcode
11133:Bibcode
11053:Bibcode
11000:Bibcode
10946:Bibcode
10918:25 June
10874:Bibcode
10787:Bibcode
10730:Bibcode
10604:Bibcode
10533:Bibcode
10449:3763878
10421:Bibcode
10246:Bibcode
10227:Science
10176:Bibcode
10133:26 June
10071:27 June
10037:4411304
10016:Bibcode
9956:4461081
9928:Bibcode
9614:26 June
9546:Bibcode
9460:22 June
9398:Bibcode
9286:Bibcode
9192:Bibcode
9184:Science
9085:10 July
8994:Bibcode
8931:4980484
8910:Bibcode
8851:Bibcode
8802:Bibcode
8701:Bibcode
8595:
8583:
8519:Ye, Jun
8487: s
8479:568(13)
8444:148.382
8343:Bibcode
8299:Physics
8251:Bibcode
8187:Bibcode
8151:4990345
8123:Bibcode
8061:Bibcode
7997:Bibcode
7926:Bibcode
7887:5964087
7858:Bibcode
7776:Physics
7702:Bibcode
7626:Bibcode
7565:27 July
7321:Bibcode
7230:Bibcode
7165:25 June
7120:3957861
7100:Bibcode
7040:Bibcode
7012:22 June
6980:23 June
6938:Science
6873:8288775
6776:3 April
6609:20 July
6496:Bibcode
6352:Bibcode
6299:Bibcode
6241:Bibcode
6173:Bibcode
5984:13 July
5877:16 June
5826:16 June
5711:21 June
5685:20 June
5599:12 June
5461:Bibcode
5320:4411304
5291:Bibcode
5167:Bibcode
5107:Bibcode
4969:Bibcode
4941:20 June
4880:6768155
4801:4191481
4781:Bibcode
4725:4191481
4705:Bibcode
4566:Bibcode
4519:Bibcode
4490:20 June
4465:20 June
3959:Galileo
3639:atoms.
3300:geodesy
3187:One of
3112:of the
2758:nuclear
2701:mercury
2331:NIST-F2
1602:is the
1374:of the
1324:voltage
1308:sundial
1062:(about
1048:caesium
1027:caesium
1012:NIST-F2
1008:NIST-F1
1004:Caesium
989:Caesium
894:Galileo
768:in the
764:, USA,
599:mercury
571:photons
549:or the
379:ammonia
315:History
301:NIST-F2
285:caesium
275:⁄
115:Powered
85:science
15077:Clocks
14913:Rudder
14753:Trompe
14688:Clocks
14663:Pulley
14517:Decade
14472:Moment
14467:Minute
14462:Second
14432:Other
14289:Julian
14268:Hebrew
13914:offset
13674:Moment
13669:Memory
13521:period
13109:marine
13092:atomic
13067:Clocks
13025:Hebrew
13020:Julian
12955:Metric
12828:Future
12759:
12631:
12623:
12587:Nature
12562:
12163:
11723:2 July
11628:qps.nl
11488:
11436:
11426:
11418:
11365:
11357:
11311:
11303:
11260:
11252:
11244:
11161:
11151:
11115:Nature
11089:. BIPM
11071:
11018:
10982:Optica
10964:
10892:
10813:
10805:
10769:Nature
10748:
10712:Nature
10691:
10683:
10675:
10622:
10559:
10551:
10515:Nature
10447:
10439:
10272:
10264:
10202:
10194:
10044:
10034:
9954:
9946:
9910:Nature
9818:
9804:Nature
9693:
9582:
9574:
9566:
9489:
9416:
9357:
9347:
9312:
9304:
9218:
9210:
9028:
9020:
9012:
8986:Nature
8938:
8928:
8871:
8843:Nature
8822:
8794:Nature
8727:
8719:
8553:
8524:Nature
8436:
8361:
8277:
8269:
8232:Nature
8213:
8205:
8168:Nature
8149:
8141:
8105:Nature
8087:
8079:
8042:Nature
8023:
8015:
7944:
7894:
7884:
7876:
7829:
7728:
7720:
7652:
7644:
7430:
7422:
7347:
7339:
7256:
7248:
7118:
7058:
6880:
6870:
6713:
6565:
6557:
6465:
6457:
6370:
6340:(12).
6317:
6259:
6199:
6191:
6106:
6077:"OC18"
5862:
5852:
5495:
5487:
5479:
5443:Nature
5422:
5414:
5406:
5327:
5317:
5309:
5133:
5125:
5040:
4987:
4932:
4887:
4877:
4869:
4805:p.280.
4799:
4773:Nature
4723:
4697:Nature
4586:
4537:
4456:
4416:
4408:
3387:iodine
3296:Jun Ye
3272:578 nm
3230:Using
3156:, Sr,
3148:, Hg,
3135:Lasers
3108:, the
3055:lasers
1960:, the
1787:where
1579:where
1328:quartz
1269:signal
1185:Second
898:BeiDou
869:masers
772:, the
754:(NIST)
748:, the
605:, and
579:lasers
537:, and
531:kelvin
527:ampere
468:Varian
462:, the
452:French
170:second
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