Knowledge

Reciprocal length

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The energy is inversely proportional to the size of the unit of which the reciprocal is used, and is proportional to the number of reciprocal length units. For example, in terms of energy, one reciprocal metre equals
245:= 1), which leads to mass, energy, momentum, frequency and reciprocal length all having the same unit. As a result, reciprocal length is used as a measure of 335: 269:
via the speed of light. Spatial frequency is a reciprocal length, which can thus be used as a measure of energy, usually of a particle. For example, the
325: 311:(one hundredth) as much as a reciprocal centimetre. Five reciprocal metres are five times as much energy as one reciprocal metre. 348:
Barrett, A. J. (11 July 1983). "A two-parameter perturbation series for the reciprocal length of polymer chains and subchains".
391: 144: 205: 17: 262: 210: 386: 234: 112: 108: 51: 270: 357: 8: 174: 361: 140: 369: 330: 266: 182: 158: 116: 35: 365: 148: 320: 152: 226: 380: 258: 168: 164: 135: 288: 195: 131: 178: 47: 39: 278: 191: 187: 101: 250: 201: 121: 90: 43: 254: 246: 86: 55: 299: 125: 277:, is an energy unit equal to the energy of a photon with a 221:
In some branches of physics, the universal constants
281:of 1 cm. That energy amounts to approximately 61:Common units used for this measurement include the 265:, and the frequency of a photon is related to its 378: 350:Journal of Physics A: Mathematical and General 93:is a unit equivalent to reciprocal metre. 237:, are treated as being unity (i.e. that 347: 104:measured in reciprocal length include: 14: 379: 96: 216: 24: 341: 25: 403: 200:density of a linear feature in 206:kilometre per square kilometre 161:e.g. in cycles per unit length 13: 1: 211:surface area to volume ratio 42:used in several branches of 7: 370:10.1088/0305-4470/16/10/027 314: 10: 408: 392:Length-specific quantities 263:Planck–Einstein relation 235:reduced Planck constant 113:attenuation coefficient 204:and other fields; see 109:absorption coefficient 271:reciprocal centimetre 75:reciprocal centimetre 190:, or magnitude of a 362:1983JPhA...16.2321B 261:, according to the 175:rotational constant 157:more generally any 97:List of quantities 79:inverse centimetre 356:(10): 2321–2330. 336:Reciprocal volume 331:Reciprocal second 267:spatial frequency 257:yields a certain 217:Measure of energy 183:quantum mechanics 159:spatial frequency 117:materials science 50:, defined as the 28:Reciprocal length 16:(Redirected from 399: 387:SI derived units 373: 310: 302: 297: 291: 286: 276: 149:reciprocal space 128:, in mathematics 63:reciprocal metre 21: 407: 406: 402: 401: 400: 398: 397: 396: 377: 376: 344: 342:Further reading 326:Reciprocal area 321:Lineic quantity 317: 308: 295: 293: 284: 282: 274: 219: 153:crystallography 99: 23: 22: 15: 12: 11: 5: 405: 395: 394: 389: 375: 374: 343: 340: 339: 338: 333: 328: 323: 316: 313: 227:speed of light 218: 215: 214: 213: 208: 198: 185: 172: 162: 155: 138: 129: 119: 98: 95: 32:inverse length 9: 6: 4: 3: 2: 404: 393: 390: 388: 385: 384: 382: 371: 367: 363: 359: 355: 351: 346: 345: 337: 334: 332: 329: 327: 324: 322: 319: 318: 312: 304: 301: 290: 280: 272: 268: 264: 260: 259:photon energy 256: 252: 248: 244: 240: 236: 232: 228: 224: 212: 209: 207: 203: 199: 197: 193: 189: 186: 184: 180: 176: 173: 170: 166: 165:optical power 163: 160: 156: 154: 150: 146: 142: 139: 137: 136:laser physics 133: 130: 127: 123: 120: 118: 114: 110: 107: 106: 105: 103: 94: 92: 88: 84: 80: 76: 72: 68: 67:inverse metre 64: 59: 57: 53: 49: 45: 41: 37: 33: 29: 19: 18:Inverse metre 353: 349: 305: 242: 238: 230: 222: 220: 196:spectroscopy 100: 82: 78: 74: 70: 66: 62: 60: 31: 27: 26: 179:rigid rotor 171:, in optics 48:mathematics 40:measurement 381:Categories 279:wavelength 192:wavevector 188:wavenumber 102:Quantities 52:reciprocal 251:frequency 202:hydrology 141:magnitude 122:curvature 81:(symbol: 69:(symbol: 315:See also 298:10  287:10  36:quantity 358:Bibcode 145:vectors 91:dioptre 73:), the 44:science 255:photon 249:. The 247:energy 233:, the 229:, and 225:, the 89:, the 87:optics 85:). In 56:length 294:1.986 253:of a 194:, in 181:, in 177:of a 167:of a 151:, in 134:, in 124:of a 115:, in 34:is a 283:1.24 169:lens 132:gain 126:line 46:and 366:doi 292:or 147:in 143:of 111:or 77:or 65:or 54:of 38:or 30:or 383:: 364:. 354:16 352:. 309:10 303:. 289:eV 275:cm 273:, 241:= 83:cm 58:. 372:. 368:: 360:: 300:J 296:Ă— 285:Ă— 243:ħ 239:c 231:ħ 223:c 71:m 20:)

Index

Inverse metre
quantity
measurement
science
mathematics
reciprocal
length
optics
dioptre
Quantities
absorption coefficient
attenuation coefficient
materials science
curvature
line
gain
laser physics
magnitude
vectors
reciprocal space
crystallography
spatial frequency
optical power
lens
rotational constant
rigid rotor
quantum mechanics
wavenumber
wavevector
spectroscopy

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