- Access by Xinjiang University
Atomic Photoelectric Effect Above 10 keV
Rev. Mod. Phys. 45, 273 – Published 1 April, 1973Erratum Rev. Mod. Phys. 45, 663 (1973)
DOI: https://doi.org/10.1103/RevModPhys.45.273
Abstract
The current understanding of the theory of the atomic photoelectric effect is reviewed for incident photon energies above 10 keV, complementing the earlier review of Fano and Cooper (1968) at lower energies. The theoretical developments of the last two decades are of two types: (1) analytic results giving insight into many aspects of the photoelectric process and (2) exact numerical cross sections calculated with high speed electronic computers. The basic assumptions underlying the photoeffect calculations are described, and pertinent atomic models are discussed. In the energy range considered, satisfactory results are obtained with the process described as the ejection of an electron moving in a relativistic Hartree-Fock-Slater potential. Exchange, correlation, and other effects are discussed. Many features of the process can be understood with the realization that the important regions in configuration space in the photoeffect matrix element are of the order of an electron Compton wave length. This leads to the predictions that the photoeffect cross section in a screened potential can be obtained from a point-Coulomb result by a simple normalization, that angular distribution shapes and polarization correlations are the same in the two cases, and that results for photoeffect from different subshells of the same angular momentum are similarly related. The numerical methods, achieving total cross sections accurate to 1%, are described and compared with experiment. Different self-consistent atomic models yield cross sections which differ by 3%-8%; these agree with experiments of similar accuracy. New and more accurate cross section tabulations that have recently become available are discussed and recommendations are made concerning their use.
Erratum
Erratum: Atomic Photoelectric Effect above 10 keV
References (247)
- Abramowitz, M., and I. A. Stegun, 1965, Handbook of Mathematical Functions (Dover, New York)
- Aglintsev, K. K., V. V. Mitrofanov, A. A. Rimskii-Korsakov, V. V. Smirnov, 1961, Izv. Ak. Nauk USSR 25, 1146
- Akhiezer, A. A., and V. B. Berestetskii, 1965, Quantum Electrodynamics (Interscience, New York)
- Alling, W. R., and W. R. Johnson, 1965, Phys. Rev. 139, A1050
- Amusia, M. Ya., N. A. Cherepkov, and S. I. Sheftel, 1967, Phys. Letters A 24, 541
- Amusia, M. Ya.N. A. CherepkovS. I. Sheftel, N. A. Cherepkov, L. V. Chernysheva, and S. I. Sheftel, 1969, Sov. Phys. JETP 29, 1018
- Azaroff, L. V., and D. M. Pease, 1973, X-Ray Absorption Spectra, X-Ray Spectra, edited by L. V. Azaroff (McGraw-Hill, to be published)
- Band, I. M., L. A. Sliv, and M. B. Trzhaskovskaya, 1970, Sov. Phys. JETP Letters 11, 201 (1970) [Zh. Eksperim. i Teor. Fiz. Pis. Red. 11, 306 (1970)]
- Banerjee, H., 1958, Nuovo Cimento, Serie X, 10, 863
- Banerjee, H., 1959, Nuovo Cimento, Serie X, 11, 220
- Bearden, A. J., 1966, J. Appl. Phys. 37, 1681
- Berestetskii, V. B., E. M. Lifshitz, and L. P. Pitaevskii, 1971, Relativistic Quantum Theory (Pergamon, New York) (translated from the Russian by J. B. Skyes and J. S. Bell)
- Bergkvist, K. E., 1964, Arkiv för Fysik, 27, p. 483-500
- Bergkvist, K. E., and S. Hultberg, 1964, Arkiv för Fysik 27, 321
- Bethe, H. A., L. Maximon, and F. Low, 1953, Phys. Rev. 91, 417
- Bethe, H. A.L. MaximonF. Low, and L. C. Maximon, 1954, Phys. Rev. 93, 768
- Bethe, H. A.L. MaximonF. LowL. C. Maximon, and E. E. Salpeter, 1957, Quantum Mechanics of One and Two-Electron Atoms (Springer-Verlag, Berlin)
- Biggs, F., and R. Lighthill, 1971, Analytical Approximations for X-ray Cross Sections II, Sandia Corporation, Albuquerque, N. Mexico, SC-RR-71 0507
- Bjorken, J. D., and S. D. Drell, 1964, Relativistic Quantum Mechanics (McGraw-Hill, New York)
- Bleeker, E. J., P. F. A. Goudsmit, and C. De Vries, 1962, Nucl. Phys. 29, 452
- Boyd, H. W., W. H. Brantley, and J. H. Hamilton, 1965, Nuovo Cimento, 39, 1
- Boyer, R. H., 1957, Ph.D. thesis, Oxford University, 1957 (unpublished)
- Boyer, R. H., 1960, Phys. Rev. 117, 475
- Briet, G., 1929, Phys. Rev. 34, 553
- Briet, G., 1930, Phys. Rev. 36, 383
- Briet, G., 1931, Phys. Rev. 39, 616
- Brenner, S., G. E. Brown, and J. B. Woodward, 1954, Proc. Roy. Soc. (London) A227, 59
- Brini, D., L. Peli, O. Rimondi, and P. Veronesi, 1957, Nuovo Cimento, Serie X, Vol. 6, 98
- Brown, G. E., and D. F. Mayers, 1955, Proc. Roy. Soc. (London) A234, 387
- Brown, G. E.D. F. Mayers, and D. F. Mayers, 1957, Proc. Roy. Soc. (London) A242, 89
- Brown, G. E.D. F. MayersD. F. Mayers, R. E. Peierls, and J. B. Woodward, 1954, Proc. Roy. Soc. (London) A227, 51
- Brysk, H., and M. E. Rose, 1958, Rev. Mod. Phys. 30, 1169
- Brysk, H.M. E. Rose, and C. D. Zerby, 1968, Phys. Rev. 171, 292
- Burgess, A., and M. J. Seaton, 1960, M. N. Roy. Astron. Soc. 120, 121
- Chang, E. S., and M. R. C. McDowell, 1968, Phys. Rev. 176, 126
- Colgate, S. A., 1952, Phys. Rev. 87, 592
- Condon, E. U., and G. H. Shortley, 1935, The Theory of Atomic Spectra (Cambridge U. P., London)
- Conneely, M. J., K. Smith, and L. Lipsky, 1970, J. Phys. B 3, 493
- Conner, A. L., H. F. Atwater, and E. H. Plassmann, 1970, Phys. Rev. A 1, 539
- Cooper, J. W., 1962, Phys. Rev. 128, 681
- Cooper, J. W., 1964, Phys. Rev. Letters 13, 762
- Cooper, J. W., and S. T. Manson, 1969, Phys. Rev. 177, 157
- Corbató, F. J., and J. L. Uretsky, 1959, J. Assoc. Comp. Mach. 6, 366
- Coulthard, M. A., 1967, Proc. Phys. Soc. (London) 91, 44
- Cown, R. D., A. C. Larson, D. Liberman, J. B. Mann, and J. Waber, 1966, Phys. Rev. 144, 5
- Csavinszky, P., 1968, Phys. Rev. 166, 53
- Dalitz, R. H., 1951, Proc. Roy. Soc. (London) 206, 509
- Darwin, C. G., 1928, Proc. Roy. Soc. (London) A118, 654
- Davisson, C. M., and R. D. Evans, 1952, Rev. Mod. Phys. 24, 79 (1952)
- Davisson, C. M.R. D. Evans, 1965, in Alpha-Beta-and Gamma-ray Spectroscopy, edited by K. Siegbahn (North-Holland, Amsterdam), Vol. 1, Chapt. 2
- Desiderio, A. M., and W. R. Johnson, 1971, Phys. Rev. A4, 1267
- Deslattes, R. D., 1958, An Experimental Study of X-Ray Attenuation Coefficients 8-30 keV, Florida State University, AFOSR Report TN-58-784 (1958)
- Dyson, F. J., 1949, Phys. Rev. 75, 486 ibid.75, 1736
- Edmonds, A. R., 1957, Angular Momentum in Quantum Mechanics (Princeton U. P., Princeton, N.J.)
- Einstein, A., 1905, Ann. Physik 17, 132
- Erber, T., 1958, Bull. Am. Phys. Soc. Ser. II, 3, 53
- Erber, T., 1959, Ann. Phys. (N.Y.) 8, 435
- Erdélyi, A., W. Magnus, F. Oberhettinger, and F. G. Tricomi, 1953, Higher Transcendental Functions (Bateman Manuscript Project (McGraw-Hill, New York), Vols. I/II
- Fano, U., 1969, Phys. Rev. 178, 131
- Fano, U., and J. W. Cooper, 1968, Rev. Mod. Phys. 40, 441
- Fano, U.J. W. Cooper, K. W. McVoy, and J. R. Albers, 1959, Phys. Rev. 116, 1147
- Fano, U.J. W. CooperK. W. McVoyJ. R. Albers, L. V. Spencer, and M. J. Berger, 1959, in Encyclopedia of Physics, edited by Flügge (Springer-Verlag, Berlin), Vol. XXXVIII/2
- Farnoux, F. C., 1969, J. Physique 30, 521
- Feynman, R. P., 1949, Phys. Rev. 76, 749 ibid.76, 769
- Feynman, R. P., N. Metropolis, and E. Teller, 1949, Phys. Rev. 75, 1561
- Fischer, J., 1931a, Ann. Physik 8, 821
- Fischer, J., 1931b, Ann. Physik 11, 489
- Fomin, P. I., 1958, Soviet Phys. JETP 8, 491 (1959) [Zh. Eksperim. i Teor. Fiz. 35, 707]
- Fomin, P. I., 1960, Soviet Phys. JETP 11, 372 [Zh. Eksperim. i Teor. Fiz. 38, 513]
- Forssner, T., 1968, Arkiv för Fysik 35, 477
- Frey, W. F., J. H. Hamilton, and S. Hultberg, 1963 Arkiv för Fysik 24, 503
- Furry, W. H. 1934, Phys. Rev. 46, 391
- Furry, W. H., 1951, Phys. Rev. 81, 115
- Gáspár, R., 1954, Acta Phys. Acad. Sci. Hung. 3, 263
- Gavrila, M., 1958, Nuovo Cimento 9, 327
- Gavrila, M., 1959, Phys. Rev. 113, 514
- Gavrila, M., 1960, Soviet Phys. 11, 224
- Gavrila, M., 1961, Phys. Rev. 124, 1132
- Ghose, A. M., 1966, Nucl. Phys. 75, 529
- Ghumman, B. S., S. Anand, B. S. Sood, 1967, Indian J. Pure Appl. Phys. 5, 70
- Goldemberg, J., and R. H. Pratt, 1966, Rev. Mod. Phys. 38, 311
- Gombás, P., 1949, Die Statistische Theorie Des Atoms (Springer-Verlag, Vienna)
- Gombás, P., 1956, Encyclopedia of Physics, edited by S. Flügge (Springer-Verlag, Berlin), Vol. XXXVI
- Gorshkov, V. G., 1961, Soviet Phys. JETP 13, 1037 (1961) [Zh. Eksperim i Teor. Fiz. 40, 1481]
- Gorshkov, V. G., and A. I. Mikhailov, 1963, Soviet Phys. JETP 16, 70 [Zh. Eksperim. i Teor. Fiz. 43, 991 (1962)]
- Gorshkov, V. G.A. I. Mikhailov, and A. I. Mikhailov, 1963, Soviet Phys. JETP 17, 1439 [Zh. Eksperim. i Teor. Fiz. 44, 2142]
- Gorshkov, V. G.A. I. MikhailovA. I. Mikhailov, A. I. Mikhailov, and V. S. Polikanov, 1967, Soviet Phys. JETP 25, 1045
- Grant, I. P., 1961, Proc. Roy. Soc. (London) A262, 555
- Grant, I. P., 1967, Advan. Phys. 82, 747
- Grigoryev, E. P., and A. V. Zolotavin, 1959, Zh. Eksperim. i Teor. Fiz. 36, 272
- Grodstein-White, G., 1957, X-ray Attenuation Coefficients from 10 keV to 100 MeV, National Bureau of Standards Circular 583
- Guttmann, A. J., and H. Wagenfeld, 1967, Acta Cryst. 22, 334
- Guzenko, S. Y., and P. I. Fomin, 1960, Soviet Phys. JETP 11, 372 [Zh. Eksperim i Teor. Fiz. 38, 513 (1960)]
- Hager, R. S., and E. C. Seltzer, 1968, Nuclear Data Tables A4, 1
- Hall, H., 1934, Phys. Rev. 45, 620
- Hall, H., 1936, Rev. Mod. Phys. 8, 358
- Hall, H., 1951, Phys. Rev. 84, 167
- Hall, H., 1960, The Atomic Photoelectric Effect at High Energies, Preprint, University of California, LRL
- Hall, H., and J. R. Oppenheimer, 1931, Phys. Rev. 38, 57
- Hall, H.J. R. Oppenheimer, and W. Rarita, 1934, Phys. Rev. 46, 143
- Hall, H.J. R. OppenheimerW. Rarita, and E. C. Sullivan, 1966, Phys. Rev. 152, A4
- Harriman, J., 1956, Phys. Rev. 101, 594
- Hartree, D. R., 1928, Proc. Camb. Phil. Soc. 24, 89
- Hartree, D. R., 1971, The Calculation of Atomic Structures (Wiley, 1957)
- Hedgran, A., 1952, Arkiv för Fysik 5, 13
- Hedgran, A., and S. Hultberg, 1954, Phys. Rev. 94, 498
- Heitler, W., 1954, The Quantum Theory of Radiation (Oxford U. P., London), 3rd ed
- Hereford, F. L., 1951, Phys. Rev. 81, 482
- Hereford, F. L., 1951, Phys. Rev. 81, 627
- Hereford, F. L., and J. P. Keuper, 1953, Phys. Rev. 90, 1043
- Herman, F., and S. Skillman, 1963, Atomic Structure Calculations (Prentice-Hall, Englewood Cliffs, New Jersey)
- Herrlander, C. J., R. Stockendal, and R. K. Gupta, 1960, Arkiv för Fysik 17, 315
- Hertz, H., 1887, Ann. Physik 31, 983
- Hubbell, J. H., 1969, Photon Cross Sections, Attenuation Coefficients, and Energy Absorption Coefficients from 10 keV to 100 GeV, National Bureau of Standards NSRDS-NBS29
- Hubbell, J. H., 1971, Atomic Data 3, 241
- Hubbell, J. H., and M. J. Berger, 1968, in R. Jaeger, (Ed.) Engineering Compendium on Radiation Shielding (IAEA, Vienna), Vol. 1, Ch. 4, Berlin/Göttingen/Heidelberg: Springer, p. 167-202
- Hulme, H. R., J. McDougall, R. A. Buckingham, and R. H. Fowler, 1935, Proc. Roy. Soc. (London) A149, 131
- Hultberg, S., 1955, Arkiv för Fysik 9, 245
- Hultberg, S., 1959, Arkiv för Fysik 15, 307
- Hultberg, S., B. Nagel, and P. O. M. Olsson, 1962, Arkiv för Fysik 20, 555
- Hultberg, S.B. NagelP. O. M. Olsson, B. Nagel, and P. Olsson, 1968, Arkiv för Fysik 38, 1-96
- Hultberg, S.B. NagelP. O. M. OlssonB. NagelP. Olsson, T. O'Conner, and J. H. Hamilton, Nucl. Phys. 22, 306
- Hultberg, S.B. NagelP. O. M. OlssonB. NagelP. OlssonT. O'ConnerJ. H. Hamilton, and R. Stockendal, 1958, Arkiv för Fysik 14, 565
- Hultberg, S.B. NagelP. O. M. OlssonB. NagelP. OlssonT. O'ConnerJ. H. HamiltonR. Stockendal, and R. Stockendal, 1959, Arkiv för Fysik 15, 355
- Hultberg, S.B. NagelP. O. M. OlssonB. NagelP. OlssonT. O'ConnerJ. H. HamiltonR. StockendalR. Stockendal, and Z. Sujkowski, 1959, Phys. Rev. Letters 3, 227
- Jansen, J. F. W., S. Hultberg, P. F. A. Goudsmit, and A. H. Wapstra, 1962, Nucl. Phys. 38, 121
- Johnson, W. R., and R. T. Deck, 1962, J. Math. Phys. 3, 319
- Johnston, R. R., 1964, Phys. Rev. A 136, A958
- Källen, G., 1958, in Handbuch der Physik, edited by S. Flügge (Springer, Berlin), Vol. V/1
- Källen, G., 1962, Topics in Quantum Electrodynamics (Benjamin, New York), Vol. 1
- Kelly, H. P., 1969, Phys. Rev. 182, 84
- Kelly, H. P., and A. Ron, 1972, Phys. Rev. A5, 168
- Kirchner, F., 1930, Handbuch der Experimentalphysik, Wien, W. and F. Harms, (eds.) (Akademische Verlagsgesellschaft, Leipzig)
- Knerr, R. P., and H. Vonach, 1967, Angew. Physik 22, 507
- Kobayashi, S., T. Matsukuma, S. Nagai, and K. Umeda, 1955, J. Phys. Soc. Japan 10, 759
- Köhler, H. S., and Y. C. Lin, 1971, Nuc. Phys. A167, 305
- Kohn, W., and L. S. Sham, 1965, Phys. Rev. 140, A1133
- Koopmans, T., 1933, Physica 1, 104
- Krause, M. O., 1969, Phys. Rev. 177, 151
- Landau, L. D., and E. M. Lifshitz, 1965, Quantum Mechanics (Pergamon Press, 1965), 2nd ed (Translated from the Russian by J. B. Skyes and J. S. Bell)
- Latter, R., 1955, Phys. Rev. 99, 1854
- Latyshev, G. D., 1947, Rev. Mod. Phys. 19, 132
- Lewis, M. N., 1953, Oscillator Strength of Ionizing Transitions, National Bureau of Standards Report 2457, 1953
- Liberman, D., 1970, Phys. Rev. B2, 244
- Liberman, D., D. T. Cromer, and J. T. Waber, 1971, Computer Phys. Commun. 2, 107
- Mann, J. B., and W. R. Johnson, 1971, Phys. Rev. A4, 41
- Manne, R., and T. Åberg, 1970, Chem. Phys. Lett. 7, 282
- Manson, S. T., and J. W. Cooper, 1968, Phys. Rev. 165, 126
- Manson, S. T.J. W. Cooper, and J. W. Cooper, 1970, Phys. Rev. A 2, 2170
- Marty, N., 1952, Compt. Rend. 234, 938
- Matese, J. J., and W. R. Johnson, 1965, Phys. Rev. 140, A1
- Meldner, H. W., and J. D. Perez, 1971, Phys. Rev. A4, 1388
- Messiah, A., 1962, Quantum Mechanics, (North-Holland Publ. Co., Amsterdam) (Translated from the French by G. M. Temmer)
- Mikhailov, A. I., 1969, Sov. Phys. JETP 28, 326
- Molière, G., 1947, Z. Naturforsch. 2a, 133
- Moliére, G., 1948, Z. Naturforsch. 3a, 78
- Mork, K. J., and H. Olsen, 1961, Phys. Norvegica 1: No. 1, 23
- Mork, K. J.H. Olsen, and H. Olsen, 1965, Phys. Rev. 140, B1661
- Mork, K. J.H. OlsenH. Olsen, and H. Olsen, 1968, Phys. Rev. 166, 1862
- Moroi, D. S., 1961, Phys. Rev. 123, 167
- Morse, P. M., and H. Feshbach, 1953, Methods of Theoretical Physics (McGraw-Hill, N.Y.)
- Mott, N. F., and H. S. W. Massey, 1965, The Theory of Atomic Collision (Oxford U. P., Oxford), 3rd ed
- McCrary, J. H., E. H. Plassmann, J. M. Puckett, A. L. Conner, and G. W. Zimmermann, 1967, Phys. Rev. 153, 307
- McGinnies, R. T., 1959, X-Ray Attenuation Coefficients from 10 keV to 100 MeV, National Bureau of Standards Supplement to Circular 583, 1959
- McGuire, E. J., 1967, Phys. Rev. 161, 51
- McGuire, E. J., 1968, Phys. Rev. 175, 20
- McMaster, W. H., and F. L. Hereford, 1954, Phys. Rev. 95, 723
- McMaster, W. H.F. L. Hereford, N. K. Del Grande, J. H. Mallett, and J. H. Hubbell, 1970, Report Lawrence Livermore Laboratory, UCRL 50174 Nuclear Data Tables A8, 443 (1970) International Tables for X-Ray Crystallography, edited by J. A. Ibers and W. C. Hamilton (Kynoch Press, Birmingham, England), Sec. 2.1, (in press)
- McVoy, K. W., 1957, Phys. Rev. 108, 365
- McVoy, K. W., and U. Fano, 1959, Phys. Rev. 116, 1168
- Nagasaka, F. G., 1955, Ph.D. Thesis, University of Notre Dame, 1955 (unpublished)
- Nagasaka, F. G., and E. Guth, 1958, Bull. of Amer. Phys. Soc. 4, 13
- Nagel, B., 1960, Arkiv för Fysik 18, 1
- Nagel, B., 1963, Arkiv för Fysik 24, 151
- Nagel, B., and P. O. M. Olsson, 1960, Arkiv för Fysik 18, 29
- Olsen, H., L. C. Maximon, and H. Wergeland, 1957, Phys. Rev. 106, 27
- Oms, J., and P. Chedin, Journal De Physique, 1967, Tome 28, 281
- Parthasaradhi, K., 1968, Indian J. Pure Appl. Phys. 6, 385
- Parthasaradhi, K., V. Lakshminarayana, and S. Jnanananda, 1964a, Indian J. Pure Appl. Phys. 2, 290
- Parthasaradhi, K.V. LakshminarayanaS. Jnanananda, V. Lakshminarayana, and S. Jnanananda, 1964b, Indian J. Pure Appl. Phys. 2, 306
- Parthasaradhi, K.V. LakshminarayanaS. JnananandaV. LakshminarayanaS. Jnanananda, V. Lakshminarayana, and S. Jnanananda, 1965, Indian J. Pure Appl. Phys. 3, 323
- Parthasaradhi, K.V. LakshminarayanaS. JnananandaV. LakshminarayanaS. JnananandaV. LakshminarayanaS. Jnanananda, V. Lakshminarayana, and S. Jnanananda, 1966a, Phys. Rev. 142, 9
- Parthasaradhi, K.V. LakshminarayanaS. JnananandaV. LakshminarayanaS. JnananandaV. LakshminarayanaS. JnananandaV. LakshminarayanaS. Jnanananda, V. Lakshminarayana, and S. Jnanananda, 1966b, Indian J. Pure Appl. Phys. 4, 87
- Perkin, J. L., and A. C. Douglas, 1967, Proc. Phys. Soc. (London) 92, 618
- Perlman, H. S., and B. A. Robson, 1959, Australian J. of Phys. 12, 30
- Popov, V. S., 1970, Sov. J. Nucl. Phys. 12, 235 (1971) [Yad. Fiz. 12, 429]
- Prange, R. A., and R. H. Pratt, 1957, Phys. Rev. 108, 139
- Pratt, R. H., 1960a, Phys. Rev. 117, 1017
- Pratt, R. H., 1960b, Phys. Rev. 119, 1619
- Pratt, R. H., R. D. Levee, R. L. Pexton, and W. Aron, 1964, Phys. Rev. 134, A898 ibid.134, A916
- Pratt, R. H.R. D. LeveeR. L. PextonW. Aron, and H. K. Tseng, 1972, Phys. Rev. A 5, 1063
- Rakavy, G., and A. Ron, 1965, Phys. Letters 18, 207
- Rakavy, G.A. Ron, and A. Ron, 1967, Phys. Rev. 159, 50
- Raman, S., R. Gunnink, T. A. Walkiewicz, and B. Martin, 1972, Bull. Am. Phys. Soc. 17, 468
- Raman, S.R. GunninkT. A. WalkiewiczB. MartinRalston, A., and H. S. Wilf, 1962, eds. Mathematical Methods for Digital Computers (Wiley, N.Y.)
- Rao, V. V., and K. Parthasaradhi, 1968, Indian J. Pure Appl. Phys. 6, 642
- Rao, V. V.K. Parthasaradhi, and K. Parthasaradhi, 1969, J. Appl. Phys. 40, 5391
- Rao, V. V.K. ParthasaradhiK. Parthasaradhi, K. Parthasaradhi, and S. Jnanananda, 1969, Indian J. Pure Appl. Phys. 7, 271
- Reitan, A., 1961, Physica Norvegica 1, 113
- Rimsky-Korsakov, A. A., and V. V. Smirnov, 1962, Soviet Phys. JETP 15, 47 [Zh. Eksperim. i Teor. Fiz. 42, 67]
- Ron, A., 1966, Ph.D. Dissertation, The Hebrew University, Israel, (1966) (unpublished)
- Rose, M. E., 1958, Internal Conversion Coefficients (North Holland Publ. Co.,)
- Rose, M. E., 1961, Relativistic Electron Theory (Wiley, N.Y.)
- Rose, M. E., and L. C. Biedenharn, 1954, Theory of the Photoelectric Effect, ORNL Report 1779
- Rosen, A., and I. Lindgren, 1968, Phys. Rev. 176, 114
- Rotenberg, M., R. Bivins, N. Metropolis, and J. K. Wooten, Jr., 1959, The and Symbols (Massachusetts Institute of Technology, Cambridge, Mass.)
- Roy, R. R., and R. D. Reed, 1968, Interactions of Photons and Leptons with Matter (Academic, N.Y.)
- Rozsnyai, B. F., 1972, Phys. Rev. A5, 1137
- Ryde, H., and Z. Sujkowski, 1962, Arkiv för Fysik 20, 289
- Sauter, F., 1931a, Ann. Physik 9, 217
- Sauter, F., 1931b, Ann. Physik 11, 454
- Sauter, F., and H. O. Wuster, 1955, Z. Physik 141, 83
- Scheck, F., and M. Stingl, 1968, Z. Physik 209, 93
- Schmickley, R. D., 1966, Ph.D. Dissertation, Stanford University, 1966 (unpublished)
- Schmickley, R. D., and R. H. Pratt, 1967, Phys. Rev. 164, 104
- Schweber, S. S., 1961, An Introduction to Relativistic Quantum Field Theory (Row, Peterson and Co., New York), pp. 243 and 566
- Scofield, J., 1972, private communication
- Seemann, K. W., 1956, Bull. Am. Phys. Soc. 1, 198
- Shalitin, D., 1965, Phys. Rev. 140, A1857
- Simmons, G. L., and J. H. Hubbell, 1971, Comparison of Photon Interaction Cross Section Data Sets. I. Storm-Israel and ENDF/B, National Bureau of Standards Report 10668, 1971 Also reports 10818, 10842, 10847
- Singh, M. I., and B. S. Sood, 1972, Nuovo Cimento 8B, 261
- Slater, J. C., 1951, Phys. Rev. 81, 385
- Slater, J. C., 1960, Quantum Theory of Atomic Structure (McGraw-Hill N.Y.), Vol. I and II
- Slater, J. C., 168, Phys. Rev. 165, 658
- Sliv, L., and J. Band, 1956, Tables of Internal Conversion Coefficients of Gamma-rays (Academy of Sciences USSR)
- Sommerfeld, A., 1939, Atombau and Spektrellinien (F. Vieweg and Son, Braunschweig, 1939), Vol. 2, p. 457
- Sommerfeld, A., and A. W. Maue, 1935, Ann. Physik 22, 629
- Sommerfeld, A.A. W. Maue, and G. Schur, 1930, Ann. Physik 4, 409
- Starace, A. F., 1970, Phys. Rev. A2, 118
- Stobbe, M., 1930, Ann. Physik 7, 661
- Storm, E., and H. I. Israel, 1967, LA-3753 (1967)
- Storm, E.H. I. Israel, 1970, Nuclear Data Tables A7, 565
- Sujkowski, Z., 1961, Arkiv för Fysik 20, 269
- Swirles, B., 1935, Proc. Roy. Soc. (London) 152, 625
- Taylor, B. N., W. H. Parker, and D. N. Langenberg, 1969, Rev. Mod. Phys. 41, 375
- Titus, F., 1958, Bull. Am. Phys. Soc. 4, 269
- Titus, F., 1959, Phys. Rev. 115, 351
- Titus, F., 1965, Nucl. Phys. 69, 179
- Tolhoek, H. A., 1956, Rev. Mod. Phys. 28, 277
- Tseng, H. K., 1970, Ph.D. Dissertation, University of Pittsburgh, 1970 (unpublished)
- Tseng, H. K., and R. H. Pratt, 1971, Phys. Rev. A 4, 1835
- Tseng, H. K.R. H. Pratt, and R. H. Pratt, 1972, Phys. Rev. A 6, 2049
- Tucker, T. C., L. D. Roberts, C. W. Nestor, T. A. Carlson, and F. B. Malik, 1968, Phys. Rev. 174, 118
- Veigele, Wm. J., E. Briggs, L. Bates, E. M. Henry, and B. Bracewell, 1971, X-Ray Cross Section Compilation from 0.1 keV to 1 MeV, Kaman Science Corporation, DNA2433F, Vols. I and II, Rev. 1 KN-71-431(R), 1971, (also to be published in Atomic Data)
- Weber, T. A., and C. J. Mullin, 1962, Phys. Rev. 126, 615
- Weinberg, S., 1965, Phys. Rev. 140, B516
- Wiedenbeck, M., 1962, Phys. Rev. 126, 1009