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Crystallography

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characteristic arrangement of atoms. X-ray or neutron diffraction can be used to identify which structures are present in the material, and thus which compounds are present. Crystallography covers the enumeration of the symmetry patterns which can be formed by atoms in a crystal and for this reason is related to
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is often used to help refine structures obtained by X-ray methods or to solve a specific bond; the methods are often viewed as complementary, as X-rays are sensitive to electron positions and scatter most strongly off heavy atoms, while neutrons are sensitive to nucleus positions and scatter strongly
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Crystallography is used by materials scientists to characterize different materials. In single crystals, the effects of the crystalline arrangement of atoms is often easy to see macroscopically because the natural shapes of crystals reflect the atomic structure. In addition, physical properties are
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is an eight-book series that outlines the standard notations for formatting, describing and testing crystals. The series contains books that covers analysis methods and the mathematical procedures for determining organic structure through x-ray crystallography, electron diffraction, and neutron
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Crystallography is useful in phase identification. When manufacturing or using a material, it is generally desirable to know what compounds and what phases are present in the material, as their composition, structure and proportions will influence the material's properties. Each phase has a
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measurements. Crystallographic studies help elucidate the relationship between a material's structure and its properties, aiding in developing new materials with tailored characteristics. This understanding is crucial in various fields, including metallurgy, geology, and materials science.
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form small, flat, platelike structures. Clay can be easily deformed because the platelike particles can slip along each other in the plane of the plates, yet remain strongly connected in the direction perpendicular to the plates. Such mechanisms can be studied by crystallographic
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denote a family of planes and their normals. In cubic materials the symmetry makes them equivalent, just as the way angle brackets denote a family of directions. In non-cubic materials, <hkl> is not necessarily perpendicular to
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diffraction. The International tables are focused on procedures, techniques and descriptions and do not list the physical properties of individual crystals themselves. Each book is about 1000 pages and the titles of the books are:
613:. The double-helical structure of DNA was deduced from crystallographic data. The first crystal structure of a macromolecule was solved in 1958, a three-dimensional model of the myoglobin molecule obtained by X-ray analysis. The 325:
in the last decade of the 19th century enabled the determination of crystal structures on the atomic scale, which brought about the modern era of crystallography. The first X-ray diffraction experiment was conducted in 1912 by
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Advancements in crystallographic techniques, such as electron diffraction and X-ray crystallography, continue to expand our understanding of material behavior at the atomic level.
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diffraction. The quality and throughput of solving crystal structures greatly improved in the second half of the 20th century, with the developments of customized instruments and
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Kendrew, J. C.; Bodo, G.; Dintzis, H. M.; Parrish, R. G.; Wyckoff, H.; Phillips, D. C. (1958). "A Three-Dimensional Model of the Myoglobin Molecule Obtained by X-Ray Analysis".
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when it is heated. The fcc structure is a close-packed structure unlike the bcc structure; thus the volume of the iron decreases when this transformation occurs.
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can be used to obtain images with in many cases atomic resolution from which crystallographic information can be obtained. There are also other methods such as
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techniques, which take diffraction patterns of samples with a large number of crystals, play an important role in structural determination.
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in materials. Crystallography plays a key role in many areas of biology, chemistry, and physics, as well new developments in these fields.
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can convert into detailed positions of atoms, and sometimes electron density. At larger scales it includes experimental tools such as
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denote a plane of the crystal structure, and regular repetitions of that plane with a particular spacing. In the cubic system, the
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often controlled by crystalline defects. The understanding of crystal structures is an important prerequisite for understanding
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recognised the importance of the science of crystallography by proclaiming 2014 the International Year of Crystallography.
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Sitzungsberichte der Mathematisch-Physikalischen Classe der Königlich-Bayerischen Akademie der Wissenschaften zu München
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is the branch of science devoted to the study of molecular and crystalline structure and properties. The word
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It is hard to focus x-rays or neutrons, but since electrons are charged they can be focused and are used in
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to the (hkl) plane is the direction , but in lower-symmetry cases, the normal to (hkl) is not parallel to .
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International Tables for Crystallography Vol. C: Mathematical, Physical and Chemical Tables
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Other physical properties are also linked to crystallography. For example, the minerals in
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of the crystal in question. The position in 3D space of each crystal face is plotted on a
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pattern of monocrystalline silicon, taken at 20 kV with a field-emission electron source
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and Alexander Reid. These developed into the two main branches of crystallography,
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is the primary method for determining the molecular conformations of biological
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which can be used to obtain crystallographic information about surfaces.
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Free book, Geometry of Crystals, Polycrystals and Phase Transformations
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of directions which are related by symmetry operations. In the cubic
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to each face is plotted on the net. Each point is labelled with its
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Crystallography is a broad topic, and many of its subareas, such as
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has been used to determine some protein structures, most notably
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even off many light isotopes, including hydrogen and deuterium.
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Brooks-Bartlett, Jonathan C.; Garman, Elspeth F. (2015-07-03).
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was based on physical measurements of their geometry using a
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would mean , , or the negative of any of those directions.
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can be used to visualize biological molecular structures.
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Crystallographic methods depend mainly on analysis of the
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Zeitschrift für Kristallographie – New Crystal Structures
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Zeitschrift für Kristallographie – Crystalline Materials
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Neutrons are scattered by the atomic nuclei through the
1681:(3rd ed.). Upper Saddle River, NJ: Prentice Hall. 1416:
Molčanov, Krešimir; Stilinović, Vladimir (2014-01-13).
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UN announcement "International Year of Crystallography"
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of neutrons is non-zero, so they are also scattered by
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to produce magnified images. There are many ways that
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patterns of a sample targeted by a beam of some type.
1703:"ISIS Neutron Diffraction with Isotopic Substitution" 1627: 1418:"Chemical Crystallography before X-ray Diffraction" 67:. Unsourced material may be challenged and removed. 1415: 2870: 408:are most commonly used; other beams used include 4542: 801:Definition and Exchange of Crystallographic Data 513: 252:. At the atomic scale it can involve the use of 143:A crystalline solid: atomic resolution image of 1506:"Interferenz-Erscheinungen bei Röntgenstrahlen" 256:to produce experimental data that the tools of 1533: 3577: 3098: 2856: 1922: 1674: 1583:"Diffraction of Cathode Rays by a Thin Film" 1504:Friedrich W, Knipping P, von Laue M (1912). 1463:Mascarenhas, Yvonne Primerano (2020-03-02). 1349: 794:Crystallography of Biological Macromolecules 264:to examine the relative orientations at the 2759: 1580: 1462: 1257:Reflection high-energy electron diffraction 773:Mathematical, Physical, and Chemical Tables 508:reflection high-energy electron diffraction 3584: 3570: 3105: 3091: 2863: 2849: 1929: 1915: 671:denote a direction vector (in real space). 3591: 1675:Cullity, B. D.; Stock, Stuart R. (2001). 1480: 1392: 492:scanning transmission electron microscopy 362:, to dedicated large facilities, such as 127:Learn how and when to remove this message 743:International Tables for Crystallography 174: 162: 138: 1422:Angewandte Chemie International Edition 759:Symmetry Relations Between Space Groups 736: 271: 14: 4543: 2032: 1830: 1725: 1469:Revista Brasileira de Ensino de Física 1336:International Union of Crystallography 1332:"Online Dictionary of Crystallography" 1312:International Union of Crystallography 1304:"Online Dictionary of Crystallography" 470:and therefore interact with the total 282:Before the 20th century, the study of 27:Scientific study of crystal structures 3565: 3086: 2844: 1910: 1887:American Crystallographic Association 807: 4499: 3060: 2823: 2163:Phase transformation crystallography 1534:Davisson, C.; Germer, L. H. (1927). 1497: 1308:Online dictionary of crystallography 518: 65:adding citations to reliable sources 36: 4523: 3544: 2670:Journal of Chemical Crystallography 1936: 1301: 496:high-resolution electron microscopy 455:. When neutrons are scattered from 24: 350:. Nowadays, crystallography is an 213:; "clear ice, rock-crystal"), and 171:in a face centered cubic structure 25: 4592: 1875: 1634:Interdisciplinary Science Reviews 1581:Thomson, G. P.; Reid, A. (1927). 1369:"The Evolution of the Goniometer" 965:Johann Friedrich Christian Hessel 438:spatial distribution of electrons 225:; "to write"). In July 2012, the 4522: 4510: 4498: 4487: 4486: 3543: 3532: 3531: 3519: 3151: 3059: 3048: 3047: 2822: 2811: 2810: 2417: 1867:from the original on 6 May 2022. 1654:10.1179/0308018815Z.000000000116 1517:Interference phenomena in X-rays 1482:10.1590/1806-9126-RBEF-2019-0336 1277:Transmission electron microscopy 488:transmission electron microscopy 478:and the electrons of the sample. 184:electron backscatter diffraction 147:. Brighter spots are columns of 41: 1824: 1773: 1749: 1719: 1695: 1668: 1621: 1247:Precession electron diffraction 1217:Low-energy electron diffraction 1085:Jean-Baptiste L. Romé de l'Isle 780:Physical Properties of Crystals 500:low-energy electron diffraction 490:and related techniques such as 52:needs additional citations for 4581:Synchrotron-related techniques 2612:Bilbao Crystallographic Server 1574: 1527: 1456: 1409: 1361: 1324: 1295: 1232:Neutron diffraction at the ILL 1150:Ralph Walter Graystone Wyckoff 504:low-energy electron microscopy 377: 13: 1: 3851:Interface and colloid science 3605:Glossary of chemical formulae 1902:Crystallographic Space Groups 1897:Web Course on Crystallography 1678:Elements of X-ray diffraction 1379:(2386): 564–565. 1915-07-01. 1288: 514:Applications in various areas 1358:. iycr2014.org. 12 July 2012 1187:Crystallographic point group 30:For the book of poetry, see 7: 4128:Bioorganometallic chemistry 3615:List of inorganic compounds 3176:Geological history of Earth 3112: 2660:Crystal Growth & Design 1952:Timeline of crystallography 1272:Timeline of crystallography 1227:Neutron diffraction at OPAL 1164: 649: 278:Timeline of crystallography 244:, including those that are 167:Octahedral and tetrahedral 10: 4597: 4576:Neutron-related techniques 4054:Dynamic covalent chemistry 4025:Enantioselective synthesis 4005:Physical organic chemistry 3958:Organolanthanide chemistry 3149: 2471:Nuclear magnetic resonance 1197:Dana classification system 920:Evgraf Stepanovich Fedorov 653: 585: 578: 381: 332:Davisson–Germer experiment 275: 214: 202: 151:atoms and darker ones are 29: 4482: 4385: 4146: 4062: 3983: 3933: 3809: 3752: 3643:Electroanalytical methods 3628: 3600: 3513: 3487: 3416: 3378: 3325: 3299: 3263: 3230: 3190:Composition and structure 3189: 3161: 3143:Index of geology articles 3120: 3043: 2971: 2940: 2909: 2879: 2806: 2726: 2698: 2675:Journal of Crystal Growth 2650: 2602: 2549: 2496: 2427: 2415: 2210: 2201: 2124: 1977: 1944: 1182:Crystallographic database 581:Oligocrystalline material 436:X-rays interact with the 368:synchrotron light sources 4561:Condensed matter physics 4398:Nobel Prize in Chemistry 4314:Supramolecular chemistry 3953:Organometallic chemistry 3018:Condensed-matter physics 2541:Single particle analysis 2399:Hermann–Mauguin notation 1892:Learning Crystallography 1302:Chapuis, Gervais (ed.). 1202:Electron crystallography 1100:Arthur Moritz Schönflies 970:Dorothy Crowfoot Hodgkin 526:crystallographic defects 4336:Combinatorial chemistry 4247:Food physical chemistry 4210:Environmental chemistry 4094:Bioorthogonal chemistry 4020:Retrosynthetic analysis 3841:Chemical thermodynamics 3824:Spectroelectrochemistry 3767:Computational chemistry 2665:Crystallography Reviews 2509:Isomorphous replacement 2303:Lomer–Cottrell junction 1222:Neutron crystallography 1045:William Hallowes Miller 1035:Ernest-François Mallard 940:Paul Heinrich von Groth 631:Neutron crystallography 564:(fcc) structure called 556:(bcc) structure called 392:Neutron crystallography 352:interdisciplinary field 4408:of element discoveries 4254:Agricultural chemistry 4242:Carbohydrate chemistry 4133:Bioinorganic chemistry 3998:Alkane stereochemistry 3943:Coordination chemistry 3772:Mathematical chemistry 3638:Instrumental chemistry 2178:Spinodal decomposition 1434:10.1002/anie.201301319 1212:Fractional coordinates 1192:Crystallographic group 1135:Christian Samuel Weiss 1065:Arthur Lindo Patterson 1040:Charles-Victor Mauguin 840:William Lawrence Bragg 447:, but in addition the 240:to the mathematics of 187: 172: 160: 32:Crystallography (book) 4566:Instrumental analysis 4403:Timeline of chemistry 4300:Post-mortem chemistry 4285:Clandestine chemistry 4215:Atmospheric chemistry 4138:Biophysical chemistry 3970:Solid-state chemistry 3920:Equilibrium chemistry 3829:Photoelectrochemistry 3439:Environmental geology 2986:Solid-state chemistry 2718:Gregori Aminoff Prize 2514:Molecular replacement 1282:X-ray crystallography 1172:Atomic packing factor 855:Martin Julian Buerger 591:X-ray crystallography 579:Further information: 445:strong nuclear forces 384:X-ray crystallography 340:X-ray crystallography 334:and parallel work by 262:orientational imaging 258:X-ray crystallography 234:X-ray crystallography 178: 166: 142: 4393:History of chemistry 4348:Chemical engineering 4123:Bioorganic chemistry 3873:Structural chemistry 3610:List of biomolecules 3398:Planetary geophysics 2910:Material independent 2024:Structure prediction 1727:Cowley, John Maxwell 1207:Electron diffraction 870:D. W. J. Cruickshank 752:Space Group Symmetry 737:Reference literature 636:Electron diffraction 548:In another example, 429:electron diffraction 388:Electron diffraction 372:free-electron lasers 360:electron microscopes 336:George Paget Thomson 272:History and timeline 197:is derived from the 61:improve this article 4416:The central science 4370:Ceramic engineering 4295:Forensic toxicology 4268:Chemistry education 4166:Radiation chemistry 4148:Interdisciplinarity 4101:Medicinal chemistry 4039:Fullerene chemistry 3915:Microwave chemistry 3784:Molecular mechanics 3779:Molecular modelling 3500:Petroleum geologist 3464:Forensic geophysics 3434:Engineering geology 3181:Timeline of geology 3133:Glossary of geology 3033:Solid-state physics 3028:Soft-matter physics 3008:Nuclear engineering 2927:Fundamental aspects 2901:Polymer engineering 2892:Ceramic engineering 2288:Cottrell atmosphere 2268:Partial dislocation 2012:Restriction theorem 1831:Prince, E. (2006). 1794:1958Natur.181..662K 1732:Diffraction physics 1707:www.isis.stfc.ac.uk 1646:2015ISRv...40..244B 1599:1927Natur.119Q.890T 1552:1927Natur.119..558D 1385:1915Natur..95..564. 1237:NMR crystallography 1110:George M. Sheldrick 1075:Friedrich Reinitzer 945:Herbert A. Hauptman 835:William Henry Bragg 830:John Desmond Bernal 562:face-centered cubic 554:body-centered cubic 484:electron microscope 472:charge distribution 423:neutron diffraction 396:NMR crystallography 4459:Chemical substance 4321:Chemical synthesis 4290:Forensic chemistry 4171:Actinide chemistry 4113:Clinical chemistry 3794:Molecular geometry 3789:Molecular dynamics 3744:Elemental analysis 3697:Separation process 3526:Geology portal 3454:Geologic modelling 3393:Geophysical survey 3345:Geodetic astronomy 3271:Structural geology 3232:Historical geology 3163:History of geology 3138:History of geology 3128:Outline of geology 3003:Mining engineering 2708:Carl Hermann Medal 2519:Molecular dynamics 2366:Defects in diamond 2361:Stone–Wales defect 2007:Reciprocal lattice 1969:Biocrystallography 895:Gautam R. Desiraju 885:Johann Deisenhofer 808:Notable scientists 787:Subperiodic Groups 552:transforms from a 530:powder diffraction 348:phasing algorithms 188: 173: 169:interstitial sites 161: 145:strontium titanate 4571:Materials science 4538: 4537: 4474:Quantum mechanics 4439:Chemical compound 4422:Chemical reaction 4360:Materials science 4278:General chemistry 4273:Amateur chemistry 4201:Photogeochemistry 4186:Stellar chemistry 4156:Nuclear chemistry 4077:Molecular biology 4044:Polymer chemistry 4015:Organic synthesis 4010:Organic reactions 3975:Ceramic chemistry 3965:Cluster chemistry 3895:Chemical kinetics 3883:Molecular physics 3762:Quantum chemistry 3675:Mass spectrometry 3559: 3558: 3444:Planetary geology 3360:Planetary geodesy 3080: 3079: 2991:Polymer chemistry 2973:Interdisciplinary 2873:materials science 2838: 2837: 2802: 2801: 2409:Thermal ellipsoid 2374: 2373: 2283:Frank–Read source 2243: 2242: 2109:Aperiodic crystal 2075: 2074: 1957:Crystallographers 1844:978-1-4020-4969-9 1742:978-0-444-82218-5 1688:978-0-201-61091-8 1546:(2998): 558–560. 1177:Crystal structure 1030:Kathleen Lonsdale 955:Wayne Hendrickson 925:Rosalind Franklin 825:C. Arnold Beevers 640:membrane proteins 615:Protein Data Bank 519:Materials science 468:charged particles 419:X-ray diffraction 317:The discovery of 254:X-ray diffraction 238:crystal structure 137: 136: 129: 111: 76:"Crystallography" 16:(Redirected from 4588: 4526: 4525: 4514: 4502: 4501: 4490: 4489: 4434:Chemical element 4089:Chemical biology 3948:Magnetochemistry 3925:Mechanochemistry 3878:Chemical physics 3819:Electrochemistry 3724:Characterization 3586: 3579: 3572: 3563: 3562: 3547: 3546: 3535: 3534: 3524: 3523: 3459:Forensic geology 3429:Economic geology 3355:Gravity of Earth 3250:Paleoclimatology 3155: 3107: 3100: 3093: 3084: 3083: 3063: 3062: 3051: 3050: 2963:Microelectronics 2917:Characterization 2865: 2858: 2851: 2842: 2841: 2826: 2825: 2814: 2813: 2757: 2756: 2680:Kristallografija 2534:Gerchberg–Saxton 2429:Characterisation 2421: 2404:Structure factor 2208: 2207: 2193:Ostwald ripening 2030: 2029: 1975: 1974: 1931: 1924: 1917: 1908: 1907: 1869: 1868: 1828: 1822: 1821: 1802:10.1038/181662a0 1777: 1771: 1770: 1768: 1767: 1753: 1747: 1746: 1723: 1717: 1716: 1714: 1713: 1699: 1693: 1692: 1672: 1666: 1665: 1625: 1619: 1618: 1607:10.1038/119890a0 1578: 1572: 1571: 1560:10.1038/119558a0 1531: 1525: 1524: 1510: 1501: 1495: 1494: 1484: 1460: 1454: 1453: 1413: 1407: 1406: 1396: 1394:10.1038/095564a0 1365: 1359: 1353: 1347: 1346: 1344: 1343: 1328: 1322: 1321: 1319: 1318: 1299: 1145:Michael Woolfson 1130:Daniel Vorländer 1125:Constance Tipper 1090:Michael Rossmann 915:Paul Peter Ewald 766:Reciprocal Space 242:crystal geometry 224: 218: 212: 206: 132: 125: 121: 118: 112: 110: 69: 45: 37: 21: 18:Crystallographic 4596: 4595: 4591: 4590: 4589: 4587: 4586: 4585: 4551:Crystallography 4541: 4540: 4539: 4534: 4478: 4381: 4375:Polymer science 4331:Click chemistry 4326:Green chemistry 4220:Ocean chemistry 4196:Biogeochemistry 4142: 4058: 4030:Total synthesis 3993:Stereochemistry 3979: 3929: 3846:Surface science 3836:Thermochemistry 3805: 3748: 3719:Crystallography 3624: 3596: 3590: 3560: 3555: 3518: 3509: 3483: 3479:Mineral physics 3412: 3374: 3321: 3295: 3281:Plate tectonics 3259: 3255:Palaeogeography 3226: 3202:Crystallography 3185: 3157: 3156: 3147: 3116: 3111: 3081: 3076: 3039: 3023:Polymer physics 2967: 2953:Surface science 2948:Crystallography 2936: 2905: 2897:Polymer science 2875: 2869: 2839: 2834: 2798: 2755: 2722: 2694: 2646: 2598: 2569:CrystalExplorer 2545: 2529:Phase retrieval 2492: 2423: 2422: 2413: 2370: 2349:Schottky defect 2248:Perfect crystal 2239: 2235:Abnormal growth 2197: 2183:Supersaturation 2146:Miscibility gap 2127: 2120: 2071: 2028: 1992:Bravais lattice 1973: 1940: 1938:Crystallography 1935: 1878: 1873: 1872: 1845: 1829: 1825: 1788:(4610): 662–6. 1778: 1774: 1765: 1763: 1755: 1754: 1750: 1743: 1724: 1720: 1711: 1709: 1701: 1700: 1696: 1689: 1673: 1669: 1626: 1622: 1579: 1575: 1532: 1528: 1508: 1502: 1498: 1461: 1457: 1414: 1410: 1367: 1366: 1362: 1354: 1350: 1341: 1339: 1330: 1329: 1325: 1316: 1314: 1300: 1296: 1291: 1286: 1267:Symmetric group 1167: 1161: 1159: 1140:Don Craig Wiley 930:Georges Friedel 910:David Eisenberg 845:Auguste Bravais 815:William Astbury 810: 739: 674:Coordinates in 661:Coordinates in 658: 652: 597:, particularly 588: 583: 521: 516: 453:magnetic fields 449:magnetic moment 398: 382:Main articles: 380: 356:diffractometers 280: 274: 195:crystallography 191:Crystallography 133: 122: 116: 113: 70: 68: 58: 46: 35: 28: 23: 22: 15: 12: 11: 5: 4594: 4584: 4583: 4578: 4573: 4568: 4563: 4558: 4553: 4536: 4535: 4533: 4532: 4520: 4508: 4496: 4483: 4480: 4479: 4477: 4476: 4471: 4466: 4461: 4456: 4451: 4446: 4441: 4436: 4431: 4430: 4429: 4419: 4412: 4411: 4410: 4400: 4395: 4389: 4387: 4383: 4382: 4380: 4379: 4378: 4377: 4372: 4367: 4357: 4356: 4355: 4345: 4344: 4343: 4338: 4333: 4328: 4318: 4317: 4316: 4305: 4304: 4303: 4302: 4297: 4287: 4282: 4281: 4280: 4275: 4264: 4263: 4262: 4261: 4259:Soil chemistry 4251: 4250: 4249: 4244: 4237:Food chemistry 4234: 4232:Carbochemistry 4229: 4227:Clay chemistry 4224: 4223: 4222: 4217: 4206: 4205: 4204: 4203: 4198: 4188: 4182:Astrochemistry 4178:Cosmochemistry 4175: 4174: 4173: 4168: 4163: 4161:Radiochemistry 4152: 4150: 4144: 4143: 4141: 4140: 4135: 4130: 4125: 4120: 4118:Neurochemistry 4115: 4110: 4109: 4108: 4098: 4097: 4096: 4086: 4085: 4084: 4079: 4068: 4066: 4060: 4059: 4057: 4056: 4051: 4049:Petrochemistry 4046: 4041: 4036: 4027: 4022: 4017: 4012: 4007: 4002: 4001: 4000: 3989: 3987: 3981: 3980: 3978: 3977: 3972: 3967: 3962: 3961: 3960: 3950: 3945: 3939: 3937: 3931: 3930: 3928: 3927: 3922: 3917: 3912: 3910:Spin chemistry 3907: 3905:Photochemistry 3902: 3897: 3892: 3890:Femtochemistry 3887: 3886: 3885: 3875: 3870: 3865: 3860: 3859: 3858: 3848: 3843: 3838: 3833: 3832: 3831: 3826: 3815: 3813: 3807: 3806: 3804: 3803: 3802: 3801: 3791: 3786: 3781: 3776: 3775: 3774: 3764: 3758: 3756: 3750: 3749: 3747: 3746: 3741: 3736: 3731: 3726: 3721: 3716: 3715: 3714: 3709: 3702:Chromatography 3699: 3694: 3693: 3692: 3687: 3682: 3672: 3671: 3670: 3665: 3660: 3655: 3645: 3640: 3634: 3632: 3626: 3625: 3623: 3622: 3620:Periodic table 3617: 3612: 3607: 3601: 3598: 3597: 3589: 3588: 3581: 3574: 3566: 3557: 3556: 3554: 3553: 3541: 3529: 3514: 3511: 3510: 3508: 3507: 3502: 3497: 3491: 3489: 3485: 3484: 3482: 3481: 3476: 3474:Mining geology 3471: 3466: 3461: 3456: 3451: 3446: 3441: 3436: 3431: 3426: 3420: 3418: 3414: 3413: 3411: 3410: 3408:Tectonophysics 3405: 3400: 3395: 3390: 3384: 3382: 3376: 3375: 3373: 3372: 3370:Geopositioning 3367: 3365:Remote sensing 3362: 3357: 3352: 3347: 3342: 3337: 3331: 3329: 3323: 3322: 3320: 3319: 3317:Marine geology 3314: 3309: 3303: 3301: 3297: 3296: 3294: 3293: 3288: 3283: 3278: 3273: 3267: 3265: 3261: 3260: 3258: 3257: 3252: 3247: 3242: 3236: 3234: 3228: 3227: 3225: 3224: 3219: 3214: 3209: 3204: 3199: 3197:Cosmochemistry 3193: 3191: 3187: 3186: 3184: 3183: 3178: 3173: 3167: 3165: 3159: 3158: 3150: 3148: 3146: 3145: 3140: 3135: 3130: 3124: 3122: 3118: 3117: 3110: 3109: 3102: 3095: 3087: 3078: 3077: 3075: 3074: 3069: 3057: 3044: 3041: 3040: 3038: 3037: 3036: 3035: 3030: 3025: 3020: 3010: 3005: 3000: 2995: 2994: 2993: 2988: 2977: 2975: 2969: 2968: 2966: 2965: 2960: 2955: 2950: 2944: 2942: 2938: 2937: 2935: 2934: 2929: 2924: 2919: 2913: 2911: 2907: 2906: 2904: 2903: 2894: 2889: 2883: 2881: 2877: 2876: 2868: 2867: 2860: 2853: 2845: 2836: 2835: 2833: 2832: 2820: 2807: 2804: 2803: 2800: 2799: 2797: 2796: 2791: 2786: 2785: 2784: 2779: 2774: 2763: 2761: 2754: 2753: 2748: 2743: 2738: 2732: 2730: 2724: 2723: 2721: 2720: 2715: 2710: 2704: 2702: 2696: 2695: 2693: 2692: 2687: 2682: 2677: 2672: 2667: 2662: 2656: 2654: 2648: 2647: 2645: 2644: 2639: 2634: 2629: 2624: 2619: 2614: 2608: 2606: 2600: 2599: 2597: 2596: 2591: 2586: 2581: 2576: 2571: 2566: 2561: 2555: 2553: 2547: 2546: 2544: 2543: 2538: 2537: 2536: 2526: 2521: 2516: 2511: 2506: 2504:Direct methods 2500: 2498: 2494: 2493: 2491: 2490: 2489: 2488: 2483: 2473: 2468: 2467: 2466: 2461: 2451: 2450: 2449: 2444: 2433: 2431: 2425: 2424: 2416: 2414: 2412: 2411: 2406: 2401: 2396: 2391: 2389:Ewald's sphere 2386: 2381: 2375: 2372: 2371: 2369: 2368: 2363: 2358: 2357: 2356: 2351: 2341: 2340: 2339: 2334: 2332:Frenkel defect 2329: 2327:Bjerrum defect 2319: 2318: 2317: 2307: 2306: 2305: 2300: 2295: 2293:Peierls stress 2290: 2285: 2280: 2275: 2270: 2265: 2263:Burgers vector 2255: 2253:Stacking fault 2250: 2244: 2241: 2240: 2238: 2237: 2232: 2227: 2222: 2216: 2214: 2212:Grain boundary 2205: 2199: 2198: 2196: 2195: 2190: 2185: 2180: 2175: 2170: 2165: 2160: 2159: 2158: 2156:Liquid crystal 2153: 2148: 2143: 2132: 2130: 2122: 2121: 2119: 2118: 2117: 2116: 2106: 2105: 2104: 2094: 2093: 2092: 2087: 2076: 2073: 2072: 2070: 2069: 2064: 2059: 2054: 2049: 2044: 2038: 2036: 2027: 2026: 2021: 2019:Periodic table 2016: 2015: 2014: 2009: 2004: 1999: 1994: 1983: 1981: 1972: 1971: 1966: 1961: 1960: 1959: 1948: 1946: 1942: 1941: 1934: 1933: 1926: 1919: 1911: 1905: 1904: 1899: 1894: 1889: 1884: 1877: 1876:External links 1874: 1871: 1870: 1843: 1823: 1772: 1748: 1741: 1718: 1694: 1687: 1667: 1640:(3): 244–264. 1620: 1573: 1526: 1496: 1455: 1428:(3): 638–652. 1408: 1360: 1348: 1323: 1293: 1292: 1290: 1287: 1285: 1284: 1279: 1274: 1269: 1264: 1259: 1254: 1249: 1244: 1239: 1234: 1229: 1224: 1219: 1214: 1209: 1204: 1199: 1194: 1189: 1184: 1179: 1174: 1168: 1166: 1163: 1158: 1157: 1152: 1147: 1142: 1137: 1132: 1127: 1122: 1117: 1112: 1107: 1102: 1097: 1092: 1087: 1082: 1077: 1072: 1067: 1062: 1057: 1052: 1050:Friedrich Mohs 1047: 1042: 1037: 1032: 1027: 1022: 1020:Michael Levitt 1017: 1012: 1007: 1002: 997: 992: 990:Isabella Karle 987: 985:Louise Johnson 982: 977: 972: 967: 962: 957: 952: 950:René Just Haüy 947: 942: 937: 932: 927: 922: 917: 912: 907: 902: 900:Eleanor Dodson 897: 892: 887: 882: 877: 872: 867: 862: 860:Sir Gordon Cox 857: 852: 850:Glenn H. Brown 847: 842: 837: 832: 827: 822: 820:William Barlow 817: 811: 809: 806: 805: 804: 797: 790: 783: 776: 769: 762: 755: 738: 735: 734: 733: 721:curly brackets 717: 702:Miller indices 699: 692:crystal system 676:angle brackets 672: 654:Main article: 651: 648: 595:macromolecules 587: 584: 520: 517: 515: 512: 480: 479: 466:Electrons are 464: 441: 440:in the sample. 379: 376: 364:photoinjectors 298:net such as a 276:Main article: 273: 270: 266:grain boundary 227:United Nations 135: 134: 49: 47: 40: 26: 9: 6: 4: 3: 2: 4593: 4582: 4579: 4577: 4574: 4572: 4569: 4567: 4564: 4562: 4559: 4557: 4554: 4552: 4549: 4548: 4546: 4531: 4530: 4521: 4519: 4518: 4513: 4509: 4507: 4506: 4497: 4495: 4494: 4485: 4484: 4481: 4475: 4472: 4470: 4467: 4465: 4464:Chemical bond 4462: 4460: 4457: 4455: 4452: 4450: 4447: 4445: 4442: 4440: 4437: 4435: 4432: 4428: 4425: 4424: 4423: 4420: 4417: 4413: 4409: 4406: 4405: 4404: 4401: 4399: 4396: 4394: 4391: 4390: 4388: 4384: 4376: 4373: 4371: 4368: 4366: 4363: 4362: 4361: 4358: 4354: 4353:Stoichiometry 4351: 4350: 4349: 4346: 4342: 4339: 4337: 4334: 4332: 4329: 4327: 4324: 4323: 4322: 4319: 4315: 4312: 4311: 4310: 4309:Nanochemistry 4307: 4306: 4301: 4298: 4296: 4293: 4292: 4291: 4288: 4286: 4283: 4279: 4276: 4274: 4271: 4270: 4269: 4266: 4265: 4260: 4257: 4256: 4255: 4252: 4248: 4245: 4243: 4240: 4239: 4238: 4235: 4233: 4230: 4228: 4225: 4221: 4218: 4216: 4213: 4212: 4211: 4208: 4207: 4202: 4199: 4197: 4194: 4193: 4192: 4189: 4187: 4183: 4179: 4176: 4172: 4169: 4167: 4164: 4162: 4159: 4158: 4157: 4154: 4153: 4151: 4149: 4145: 4139: 4136: 4134: 4131: 4129: 4126: 4124: 4121: 4119: 4116: 4114: 4111: 4107: 4104: 4103: 4102: 4099: 4095: 4092: 4091: 4090: 4087: 4083: 4080: 4078: 4075: 4074: 4073: 4070: 4069: 4067: 4065: 4061: 4055: 4052: 4050: 4047: 4045: 4042: 4040: 4037: 4035: 4034:Semisynthesis 4031: 4028: 4026: 4023: 4021: 4018: 4016: 4013: 4011: 4008: 4006: 4003: 3999: 3996: 3995: 3994: 3991: 3990: 3988: 3986: 3982: 3976: 3973: 3971: 3968: 3966: 3963: 3959: 3956: 3955: 3954: 3951: 3949: 3946: 3944: 3941: 3940: 3938: 3936: 3932: 3926: 3923: 3921: 3918: 3916: 3913: 3911: 3908: 3906: 3903: 3901: 3898: 3896: 3893: 3891: 3888: 3884: 3881: 3880: 3879: 3876: 3874: 3871: 3869: 3868:Sonochemistry 3866: 3864: 3863:Cryochemistry 3861: 3857: 3856:Micromeritics 3854: 3853: 3852: 3849: 3847: 3844: 3842: 3839: 3837: 3834: 3830: 3827: 3825: 3822: 3821: 3820: 3817: 3816: 3814: 3812: 3808: 3800: 3797: 3796: 3795: 3792: 3790: 3787: 3785: 3782: 3780: 3777: 3773: 3770: 3769: 3768: 3765: 3763: 3760: 3759: 3757: 3755: 3751: 3745: 3742: 3740: 3737: 3735: 3734:Wet chemistry 3732: 3730: 3727: 3725: 3722: 3720: 3717: 3713: 3710: 3708: 3705: 3704: 3703: 3700: 3698: 3695: 3691: 3688: 3686: 3683: 3681: 3678: 3677: 3676: 3673: 3669: 3666: 3664: 3661: 3659: 3656: 3654: 3651: 3650: 3649: 3646: 3644: 3641: 3639: 3636: 3635: 3633: 3631: 3627: 3621: 3618: 3616: 3613: 3611: 3608: 3606: 3603: 3602: 3599: 3595: 3587: 3582: 3580: 3575: 3573: 3568: 3567: 3564: 3552: 3551: 3542: 3540: 3539: 3530: 3528: 3527: 3522: 3516: 3515: 3512: 3506: 3505:Volcanologist 3503: 3501: 3498: 3496: 3493: 3492: 3490: 3486: 3480: 3477: 3475: 3472: 3470: 3467: 3465: 3462: 3460: 3457: 3455: 3452: 3450: 3447: 3445: 3442: 3440: 3437: 3435: 3432: 3430: 3427: 3425: 3422: 3421: 3419: 3415: 3409: 3406: 3404: 3401: 3399: 3396: 3394: 3391: 3389: 3386: 3385: 3383: 3381: 3377: 3371: 3368: 3366: 3363: 3361: 3358: 3356: 3353: 3351: 3348: 3346: 3343: 3341: 3340:Earth's orbit 3338: 3336: 3333: 3332: 3330: 3328: 3324: 3318: 3315: 3313: 3310: 3308: 3305: 3304: 3302: 3298: 3292: 3289: 3287: 3286:Geomorphology 3284: 3282: 3279: 3277: 3274: 3272: 3269: 3268: 3266: 3264:Dynamic Earth 3262: 3256: 3253: 3251: 3248: 3246: 3243: 3241: 3238: 3237: 3235: 3233: 3229: 3223: 3222:Sedimentology 3220: 3218: 3215: 3213: 3210: 3208: 3205: 3203: 3200: 3198: 3195: 3194: 3192: 3188: 3182: 3179: 3177: 3174: 3172: 3171:Geochronology 3169: 3168: 3166: 3164: 3160: 3154: 3144: 3141: 3139: 3136: 3134: 3131: 3129: 3126: 3125: 3123: 3119: 3115: 3108: 3103: 3101: 3096: 3094: 3089: 3088: 3085: 3073: 3070: 3068: 3067: 3058: 3056: 3055: 3046: 3045: 3042: 3034: 3031: 3029: 3026: 3024: 3021: 3019: 3016: 3015: 3014: 3011: 3009: 3006: 3004: 3001: 2999: 2996: 2992: 2989: 2987: 2984: 2983: 2982: 2979: 2978: 2976: 2974: 2970: 2964: 2961: 2959: 2956: 2954: 2951: 2949: 2946: 2945: 2943: 2939: 2933: 2930: 2928: 2925: 2923: 2922:Computational 2920: 2918: 2915: 2914: 2912: 2908: 2902: 2898: 2895: 2893: 2890: 2888: 2885: 2884: 2882: 2878: 2874: 2866: 2861: 2859: 2854: 2852: 2847: 2846: 2843: 2831: 2830: 2821: 2819: 2818: 2809: 2808: 2805: 2795: 2792: 2790: 2787: 2783: 2780: 2778: 2775: 2773: 2770: 2769: 2768: 2765: 2764: 2762: 2758: 2752: 2749: 2747: 2744: 2742: 2739: 2737: 2734: 2733: 2731: 2729: 2725: 2719: 2716: 2714: 2711: 2709: 2706: 2705: 2703: 2701: 2697: 2691: 2688: 2686: 2683: 2681: 2678: 2676: 2673: 2671: 2668: 2666: 2663: 2661: 2658: 2657: 2655: 2653: 2649: 2643: 2640: 2638: 2635: 2633: 2630: 2628: 2625: 2623: 2620: 2618: 2615: 2613: 2610: 2609: 2607: 2605: 2601: 2595: 2592: 2590: 2587: 2585: 2582: 2580: 2577: 2575: 2572: 2570: 2567: 2565: 2562: 2560: 2557: 2556: 2554: 2552: 2548: 2542: 2539: 2535: 2532: 2531: 2530: 2527: 2525: 2524:Patterson map 2522: 2520: 2517: 2515: 2512: 2510: 2507: 2505: 2502: 2501: 2499: 2495: 2487: 2484: 2482: 2479: 2478: 2477: 2474: 2472: 2469: 2465: 2462: 2460: 2457: 2456: 2455: 2452: 2448: 2445: 2443: 2440: 2439: 2438: 2435: 2434: 2432: 2430: 2426: 2420: 2410: 2407: 2405: 2402: 2400: 2397: 2395: 2394:Friedel's law 2392: 2390: 2387: 2385: 2382: 2380: 2377: 2376: 2367: 2364: 2362: 2359: 2355: 2352: 2350: 2347: 2346: 2345: 2342: 2338: 2337:Wigner effect 2335: 2333: 2330: 2328: 2325: 2324: 2323: 2322:Interstitials 2320: 2316: 2313: 2312: 2311: 2308: 2304: 2301: 2299: 2296: 2294: 2291: 2289: 2286: 2284: 2281: 2279: 2276: 2274: 2271: 2269: 2266: 2264: 2261: 2260: 2259: 2256: 2254: 2251: 2249: 2246: 2245: 2236: 2233: 2231: 2228: 2226: 2223: 2221: 2218: 2217: 2215: 2213: 2209: 2206: 2204: 2200: 2194: 2191: 2189: 2186: 2184: 2181: 2179: 2176: 2174: 2171: 2169: 2168:Precipitation 2166: 2164: 2161: 2157: 2154: 2152: 2149: 2147: 2144: 2142: 2139: 2138: 2137: 2136:Phase diagram 2134: 2133: 2131: 2129: 2123: 2115: 2112: 2111: 2110: 2107: 2103: 2100: 2099: 2098: 2095: 2091: 2088: 2086: 2083: 2082: 2081: 2078: 2077: 2068: 2065: 2063: 2060: 2058: 2055: 2053: 2050: 2048: 2045: 2043: 2040: 2039: 2037: 2035: 2031: 2025: 2022: 2020: 2017: 2013: 2010: 2008: 2005: 2003: 2000: 1998: 1995: 1993: 1990: 1989: 1988: 1985: 1984: 1982: 1980: 1976: 1970: 1967: 1965: 1962: 1958: 1955: 1954: 1953: 1950: 1949: 1947: 1943: 1939: 1932: 1927: 1925: 1920: 1918: 1913: 1912: 1909: 1903: 1900: 1898: 1895: 1893: 1890: 1888: 1885: 1883: 1880: 1879: 1866: 1862: 1858: 1854: 1850: 1846: 1840: 1836: 1835: 1827: 1819: 1815: 1811: 1807: 1803: 1799: 1795: 1791: 1787: 1783: 1776: 1762: 1758: 1752: 1744: 1738: 1734: 1733: 1728: 1722: 1708: 1704: 1698: 1690: 1684: 1680: 1679: 1671: 1663: 1659: 1655: 1651: 1647: 1643: 1639: 1635: 1631: 1624: 1616: 1612: 1608: 1604: 1600: 1596: 1593:(3007): 890. 1592: 1588: 1584: 1577: 1569: 1565: 1561: 1557: 1553: 1549: 1545: 1541: 1537: 1530: 1522: 1518: 1514: 1507: 1500: 1492: 1488: 1483: 1478: 1475:: e20190336. 1474: 1470: 1466: 1459: 1451: 1447: 1443: 1439: 1435: 1431: 1427: 1423: 1419: 1412: 1404: 1400: 1395: 1390: 1386: 1382: 1378: 1374: 1370: 1364: 1357: 1352: 1337: 1333: 1327: 1313: 1309: 1305: 1298: 1294: 1283: 1280: 1278: 1275: 1273: 1270: 1268: 1265: 1263: 1260: 1258: 1255: 1253: 1250: 1248: 1245: 1243: 1240: 1238: 1235: 1233: 1230: 1228: 1225: 1223: 1220: 1218: 1215: 1213: 1210: 1208: 1205: 1203: 1200: 1198: 1195: 1193: 1190: 1188: 1185: 1183: 1180: 1178: 1175: 1173: 1170: 1169: 1162: 1156: 1153: 1151: 1148: 1146: 1143: 1141: 1138: 1136: 1133: 1131: 1128: 1126: 1123: 1121: 1120:Nicolas Steno 1118: 1116: 1113: 1111: 1108: 1106: 1105:Dan Shechtman 1103: 1101: 1098: 1096: 1095:Paul Scherrer 1093: 1091: 1088: 1086: 1083: 1081: 1080:Hugo Rietveld 1078: 1076: 1073: 1071: 1068: 1066: 1063: 1061: 1060:Louis Pasteur 1058: 1056: 1053: 1051: 1048: 1046: 1043: 1041: 1038: 1036: 1033: 1031: 1028: 1026: 1023: 1021: 1018: 1016: 1013: 1011: 1008: 1006: 1003: 1001: 998: 996: 993: 991: 988: 986: 983: 981: 978: 976: 975:Judith Howard 973: 971: 968: 966: 963: 961: 958: 956: 953: 951: 948: 946: 943: 941: 938: 936: 935:Jenny Glusker 933: 931: 928: 926: 923: 921: 918: 916: 913: 911: 908: 906: 903: 901: 898: 896: 893: 891: 888: 886: 883: 881: 878: 876: 873: 871: 868: 866: 865:Francis Crick 863: 861: 858: 856: 853: 851: 848: 846: 843: 841: 838: 836: 833: 831: 828: 826: 823: 821: 818: 816: 813: 812: 802: 798: 795: 791: 788: 784: 781: 777: 774: 770: 767: 763: 760: 756: 753: 749: 748: 747: 744: 730: 726: 722: 718: 715: 711: 707: 703: 700: 697: 694:for example, 693: 689: 685: 681: 677: 673: 670: 667: 666: 660: 659: 657: 647: 645: 644:viral capsids 641: 637: 632: 628: 624: 620: 616: 612: 608: 604: 603:nucleic acids 600: 596: 592: 582: 577: 575: 569: 567: 563: 559: 555: 551: 546: 543: 538: 533: 531: 527: 511: 509: 505: 501: 497: 493: 489: 485: 477: 476:atomic nuclei 473: 469: 465: 463:for hydrogen. 462: 458: 454: 450: 446: 442: 439: 435: 434: 433: 431: 430: 425: 424: 420: 415: 411: 407: 403: 397: 393: 389: 385: 375: 373: 369: 365: 361: 357: 353: 349: 345: 341: 337: 333: 329: 324: 320: 315: 313: 309: 305: 301: 297: 296:stereographic 293: 289: 285: 279: 269: 267: 263: 259: 255: 251: 250:quasicrystals 247: 243: 239: 235: 230: 228: 223: 217: 211: 205: 200: 199:Ancient Greek 196: 192: 185: 181: 180:Kikuchi lines 177: 170: 165: 158: 154: 150: 146: 141: 131: 128: 120: 109: 106: 102: 99: 95: 92: 88: 85: 81: 78: –  77: 73: 72:Find sources: 66: 62: 56: 55: 50:This article 48: 44: 39: 38: 33: 19: 4527: 4515: 4503: 4491: 4341:Biosynthesis 4191:Geochemistry 4106:Pharmacology 4082:Cell biology 4072:Biochemistry 3900:Spectroscopy 3799:VSEPR theory 3718: 3648:Spectroscopy 3592:Branches of 3548: 3536: 3517: 3417:Applications 3388:Geomagnetism 3312:Hydrogeology 3245:Paleontology 3240:Stratigraphy 3207:Geochemistry 3201: 3064: 3052: 2947: 2880:Main classes 2871:Branches of 2827: 2815: 2760:Associations 2728:Organisation 2220:Disclination 2151:Polymorphism 2114:Quasicrystal 2057:Orthorhombic 1997:Miller index 1945:Key concepts 1937: 1833: 1826: 1785: 1781: 1775: 1764:. Retrieved 1760: 1751: 1731: 1721: 1710:. Retrieved 1706: 1697: 1677: 1670: 1637: 1633: 1623: 1590: 1586: 1576: 1543: 1539: 1529: 1520: 1516: 1512: 1499: 1472: 1468: 1458: 1425: 1421: 1411: 1376: 1372: 1363: 1351: 1340:. Retrieved 1338:. 2021-10-21 1335: 1326: 1315:. Retrieved 1307: 1297: 1252:Quasicrystal 1160: 1115:Tej P. Singh 1025:Henry Lipson 1015:Otto Lehmann 1010:Max von Laue 1000:Olga Kennard 995:Jerome Karle 980:Robert Huber 960:Carl Hermann 890:Boris Delone 875:Pierre Curie 800: 793: 786: 779: 772: 765: 758: 751: 742: 740: 728: 724: 720: 709: 705: 695: 687: 683: 679: 675: 669: 662: 656:Miller index 589: 574:group theory 570: 547: 534: 522: 481: 474:of both the 427: 417: 399: 328:Max von Laue 316: 312:Miller index 281: 246:not periodic 231: 221: 209: 194: 190: 189: 123: 114: 104: 97: 90: 83: 71: 59:Please help 54:verification 51: 4529:WikiProject 3754:Theoretical 3739:Calorimetry 3488:Occupations 3469:Meteoritics 3335:Cartography 3291:Volcanology 3276:Geodynamics 2932:Informatics 2713:Ewald Prize 2481:Diffraction 2459:Diffraction 2442:Diffraction 2384:Bragg plane 2379:Bragg's law 2258:Dislocation 2173:Segregation 2085:Crystallite 2002:Point group 1262:Space group 1242:Point group 1055:Paul Niggli 905:Jack Dunitz 880:Peter Debye 719:Indices in 706:parentheses 696:<100> 684:<100> 402:diffraction 378:Methodology 304:Lambert net 4545:Categories 4365:Metallurgy 4064:Biological 3630:Analytical 3449:Geobiology 3424:Biogeology 3403:Seismology 3380:Geophysics 3307:Glaciology 3212:Mineralogy 2998:Mineralogy 2887:Metallurgy 2497:Algorithms 2486:Scattering 2464:Scattering 2447:Scattering 2315:Slip bands 2278:Cross slip 2128:transition 2062:Tetragonal 2052:Monoclinic 1964:Metallurgy 1766:2022-09-10 1712:2024-07-02 1342:2024-03-11 1317:2024-05-22 1289:References 1155:Ada Yonath 1070:Max Perutz 1005:Aaron Klug 288:goniometer 210:krústallos 204:κρύσταλλος 87:newspapers 4556:Chemistry 4427:Catalysis 3935:Inorganic 3729:Titration 3594:chemistry 3495:Geologist 3350:Geomatics 3217:Petrology 3121:Overviews 2981:Chemistry 2958:Tribology 2604:Databases 2067:Triclinic 2047:Hexagonal 1987:Unit cell 1979:Structure 1853:166325528 1837:. Wiley. 1761:Wiley.com 1662:0308-0188 1615:1476-4687 1568:1476-4687 1491:1806-1117 1442:1433-7851 1403:1476-4687 764:Vol B - 757:Vol A1 - 750:Vol A - 686:denote a 566:austenite 461:deuterium 410:electrons 323:electrons 300:Wulff net 149:strontium 117:July 2024 4493:Category 4449:Molecule 4386:See also 3811:Physical 3072:Material 3054:Category 2817:Category 2652:Journals 2584:OctaDist 2579:JANA2020 2551:Software 2437:Electron 2354:F-center 2141:Eutectic 2102:Fiveling 2097:Twinning 2090:Equiaxed 1865:Archived 1861:9332669M 1810:13517261 1729:(1995). 1450:24065378 1165:See also 799:Vol G - 792:Vol F - 785:Vol E - 778:Vol D - 771:Vol C - 727:such as 708:such as 682:such as 680:chevrons 668:such as 665:brackets 650:Notation 605:such as 457:hydrogen 414:neutrons 344:electron 292:symmetry 284:crystals 222:gráphein 159:columns. 153:titanium 4505:Commons 4469:Alchemy 3985:Organic 3550:Geology 3538:Geology 3327:Geodesy 3114:Geology 3013:Physics 2941:Domains 2829:Commons 2777:Germany 2454:Neutron 2344:Vacancy 2203:Defects 2188:GP-zone 2034:Systems 1818:4162786 1790:Bibcode 1642:Bibcode 1595:Bibcode 1548:Bibcode 1519:]. 1381:Bibcode 663:square 599:protein 586:Biology 558:ferrite 542:texture 216:γράφειν 101:scholar 4517:Portal 3663:UV-Vis 3066:Common 2772:France 2767:Europe 2700:Awards 2230:Growth 2080:Growth 1859:  1851:  1841:  1816:  1808:  1782:Nature 1739:  1685:  1660:  1613:  1587:Nature 1566:  1540:Nature 1523:: 303. 1489:  1448:  1440:  1401:  1373:Nature 732:{hkl}. 725:braces 714:normal 688:family 619:RasMol 406:X-rays 394:, and 319:X-rays 306:. The 182:in an 157:oxygen 103:  96:  89:  82:  74:  3690:MALDI 3658:Raman 3300:Water 2794:Japan 2741:IOBCr 2594:SHELX 2589:Olex2 2476:X-ray 2126:Phase 2042:Cubic 1814:S2CID 1515:[ 1509:(PDF) 796:, and 729:{100} 710:(100) 623:Pymol 560:to a 201:word 108:JSTOR 94:books 4444:Atom 3712:HPLC 2899:and 2736:IUCr 2637:ICDD 2632:ICSD 2617:CCDC 2564:Coot 2559:CCP4 2310:Slip 2273:Kink 1849:OCLC 1839:ISBN 1806:PMID 1737:ISBN 1683:ISBN 1658:ISSN 1611:ISSN 1564:ISSN 1521:1912 1487:ISSN 1446:PMID 1438:ISSN 1399:ISSN 741:The 642:and 609:and 601:and 550:iron 537:clay 506:and 426:and 370:and 358:and 342:and 321:and 308:pole 80:news 4454:Ion 3685:ICP 3668:NMR 2751:DMG 2746:RAS 2642:PDB 2627:COD 2622:CIF 2574:DSR 2298:GND 2225:CSL 1798:doi 1786:181 1650:doi 1603:doi 1591:119 1556:doi 1544:119 1477:doi 1430:doi 1389:doi 723:or 704:in 678:or 627:VMD 625:or 611:RNA 607:DNA 412:or 302:or 248:or 63:by 4547:: 4184:/ 4180:/ 4032:/ 3707:GC 3680:EI 3653:IR 2789:US 2782:UK 1863:. 1857:OL 1855:. 1847:. 1812:. 1804:. 1796:. 1784:. 1759:. 1705:. 1656:. 1648:. 1638:40 1636:. 1632:. 1609:. 1601:. 1589:. 1585:. 1562:. 1554:. 1542:. 1538:. 1511:. 1485:. 1473:42 1471:. 1467:. 1444:. 1436:. 1426:53 1424:. 1420:. 1397:. 1387:. 1377:95 1375:. 1371:. 1334:. 1310:. 1306:. 646:. 621:, 576:. 502:, 494:, 421:, 390:, 386:, 374:. 366:, 4418:" 4414:" 3585:e 3578:t 3571:v 3106:e 3099:t 3092:v 2864:e 2857:t 2850:v 1930:e 1923:t 1916:v 1820:. 1800:: 1792:: 1769:. 1745:. 1715:. 1691:. 1664:. 1652:: 1644:: 1617:. 1605:: 1597:: 1570:. 1558:: 1550:: 1493:. 1479:: 1452:. 1432:: 1405:. 1391:: 1383:: 1345:. 1320:. 803:. 789:, 782:, 775:, 768:, 761:, 754:, 219:( 207:( 155:- 130:) 124:( 119:) 115:( 105:· 98:· 91:· 84:· 57:. 34:. 20:)

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strontium titanate
strontium
titanium
oxygen

interstitial sites

Kikuchi lines
electron backscatter diffraction
Ancient Greek
κρύσταλλος
γράφειν
United Nations
X-ray crystallography
crystal structure
crystal geometry

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