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Atomic Photoelectric Effect Above 10 keV

R. H. PRATT, AKIVA RON*, and H. K. TSENG

R. H. PRATT, AKIVA RON*, and H. K. TSENG

  • Department of Physics, University of Pittsburgh, Pittsburgh, Pennsylvania 15213

  • *Permanent address: Racah Institute of Physics, Hebrew University of Jerusalem, Jerusalem, Israel.

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

R. H. Pratt, A. Ron, and H. K. Tseng
Rev. Mod. Phys. 45, 663 (1973)

References (247)

  1. Abramowitz, M., and I. A. Stegun, 1965, Handbook of Mathematical Functions (Dover, New York)
  2. Aglintsev, K. K., V. V. Mitrofanov, A. A. Rimskii-Korsakov, V. V. Smirnov, 1961, Izv. Ak. Nauk USSR 25, 1146
  3. Akhiezer, A. A., and V. B. Berestetskii, 1965, Quantum Electrodynamics (Interscience, New York)
  4. Alling, W. R., and W. R. Johnson, 1965, Phys. Rev. 139, A1050
  5. Amusia, M. Ya., N. A. Cherepkov, and S. I. Sheftel, 1967, Phys. Letters A 24, 541
  6. Amusia, M. Ya.N. A. CherepkovS. I. Sheftel, N. A. Cherepkov, L. V. Chernysheva, and S. I. Sheftel, 1969, Sov. Phys. JETP 29, 1018
  7. 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)
  8. 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)]
  9. Banerjee, H., 1958, Nuovo Cimento, Serie X, 10, 863
  10. Banerjee, H., 1959, Nuovo Cimento, Serie X, 11, 220
  11. Bearden, A. J., 1966, J. Appl. Phys. 37, 1681
  12. 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)
  13. Bergkvist, K. E., 1964, Arkiv för Fysik, 27, p. 483-500
  14. Bergkvist, K. E., and S. Hultberg, 1964, Arkiv för Fysik 27, 321
  15. Bethe, H. A., L. Maximon, and F. Low, 1953, Phys. Rev. 91, 417
  16. Bethe, H. A.L. MaximonF. Low, and L. C. Maximon, 1954, Phys. Rev. 93, 768
  17. Bethe, H. A.L. MaximonF. LowL. C. Maximon, and E. E. Salpeter, 1957, Quantum Mechanics of One and Two-Electron Atoms (Springer-Verlag, Berlin)
  18. Biggs, F., and R. Lighthill, 1971, Analytical Approximations for X-ray Cross Sections II, Sandia Corporation, Albuquerque, N. Mexico, SC-RR-71 0507
  19. Bjorken, J. D., and S. D. Drell, 1964, Relativistic Quantum Mechanics (McGraw-Hill, New York)
  20. Bleeker, E. J., P. F. A. Goudsmit, and C. De Vries, 1962, Nucl. Phys. 29, 452
  21. Boyd, H. W., W. H. Brantley, and J. H. Hamilton, 1965, Nuovo Cimento, 39, 1
  22. Boyer, R. H., 1957, Ph.D. thesis, Oxford University, 1957 (unpublished)
  23. Boyer, R. H., 1960, Phys. Rev. 117, 475
  24. Briet, G., 1929, Phys. Rev. 34, 553
  25. Briet, G., 1930, Phys. Rev. 36, 383
  26. Briet, G., 1931, Phys. Rev. 39, 616
  27. Brenner, S., G. E. Brown, and J. B. Woodward, 1954, Proc. Roy. Soc. (London) A227, 59
  28. Brini, D., L. Peli, O. Rimondi, and P. Veronesi, 1957, Nuovo Cimento, Serie X, Vol. 6, 98
  29. Brown, G. E., and D. F. Mayers, 1955, Proc. Roy. Soc. (London) A234, 387
  30. Brown, G. E.D. F. Mayers, and D. F. Mayers, 1957, Proc. Roy. Soc. (London) A242, 89
  31. Brown, G. E.D. F. MayersD. F. Mayers, R. E. Peierls, and J. B. Woodward, 1954, Proc. Roy. Soc. (London) A227, 51
  32. Brysk, H., and M. E. Rose, 1958, Rev. Mod. Phys. 30, 1169
  33. Brysk, H.M. E. Rose, and C. D. Zerby, 1968, Phys. Rev. 171, 292
  34. Burgess, A., and M. J. Seaton, 1960, M. N. Roy. Astron. Soc. 120, 121
  35. Chang, E. S., and M. R. C. McDowell, 1968, Phys. Rev. 176, 126
  36. Colgate, S. A., 1952, Phys. Rev. 87, 592
  37. Condon, E. U., and G. H. Shortley, 1935, The Theory of Atomic Spectra (Cambridge U. P., London)
  38. Conneely, M. J., K. Smith, and L. Lipsky, 1970, J. Phys. B 3, 493
  39. Conner, A. L., H. F. Atwater, and E. H. Plassmann, 1970, Phys. Rev. A 1, 539
  40. Cooper, J. W., 1962, Phys. Rev. 128, 681
  41. Cooper, J. W., 1964, Phys. Rev. Letters 13, 762
  42. Cooper, J. W., and S. T. Manson, 1969, Phys. Rev. 177, 157
  43. Corbató, F. J., and J. L. Uretsky, 1959, J. Assoc. Comp. Mach. 6, 366
  44. Coulthard, M. A., 1967, Proc. Phys. Soc. (London) 91, 44
  45. Cown, R. D., A. C. Larson, D. Liberman, J. B. Mann, and J. Waber, 1966, Phys. Rev. 144, 5
  46. Csavinszky, P., 1968, Phys. Rev. 166, 53
  47. Dalitz, R. H., 1951, Proc. Roy. Soc. (London) 206, 509
  48. Darwin, C. G., 1928, Proc. Roy. Soc. (London) A118, 654
  49. Davisson, C. M., and R. D. Evans, 1952, Rev. Mod. Phys. 24, 79 (1952)
  50. 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
  51. Desiderio, A. M., and W. R. Johnson, 1971, Phys. Rev. A4, 1267
  52. Deslattes, R. D., 1958, An Experimental Study of X-Ray Attenuation Coefficients 8-30 keV, Florida State University, AFOSR Report TN-58-784 (1958)
  53. Dyson, F. J., 1949, Phys. Rev. 75, 486 ibid.75, 1736
  54. Edmonds, A. R., 1957, Angular Momentum in Quantum Mechanics (Princeton U. P., Princeton, N.J.)
  55. Einstein, A., 1905, Ann. Physik 17, 132
  56. Erber, T., 1958, Bull. Am. Phys. Soc. Ser. II, 3, 53
  57. Erber, T., 1959, Ann. Phys. (N.Y.) 8, 435
  58. Erdélyi, A., W. Magnus, F. Oberhettinger, and F. G. Tricomi, 1953, Higher Transcendental Functions (Bateman Manuscript Project (McGraw-Hill, New York), Vols. I/II
  59. Fano, U., 1969, Phys. Rev. 178, 131
  60. Fano, U., and J. W. Cooper, 1968, Rev. Mod. Phys. 40, 441
  61. Fano, U.J. W. Cooper, K. W. McVoy, and J. R. Albers, 1959, Phys. Rev. 116, 1147
  62. 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
  63. Farnoux, F. C., 1969, J. Physique 30, 521
  64. Feynman, R. P., 1949, Phys. Rev. 76, 749 ibid.76, 769
  65. Feynman, R. P., N. Metropolis, and E. Teller, 1949, Phys. Rev. 75, 1561
  66. Fischer, J., 1931a, Ann. Physik 8, 821
  67. Fischer, J., 1931b, Ann. Physik 11, 489
  68. Fomin, P. I., 1958, Soviet Phys. JETP 8, 491 (1959) [Zh. Eksperim. i Teor. Fiz. 35, 707]
  69. Fomin, P. I., 1960, Soviet Phys. JETP 11, 372 [Zh. Eksperim. i Teor. Fiz. 38, 513]
  70. Forssner, T., 1968, Arkiv för Fysik 35, 477
  71. Frey, W. F., J. H. Hamilton, and S. Hultberg, 1963 Arkiv för Fysik 24, 503
  72. Furry, W. H. 1934, Phys. Rev. 46, 391
  73. Furry, W. H., 1951, Phys. Rev. 81, 115
  74. Gáspár, R., 1954, Acta Phys. Acad. Sci. Hung. 3, 263
  75. Gavrila, M., 1958, Nuovo Cimento 9, 327
  76. Gavrila, M., 1959, Phys. Rev. 113, 514
  77. Gavrila, M., 1960, Soviet Phys. 11, 224
  78. Gavrila, M., 1961, Phys. Rev. 124, 1132
  79. Ghose, A. M., 1966, Nucl. Phys. 75, 529
  80. Ghumman, B. S., S. Anand, B. S. Sood, 1967, Indian J. Pure Appl. Phys. 5, 70
  81. Goldemberg, J., and R. H. Pratt, 1966, Rev. Mod. Phys. 38, 311
  82. Gombás, P., 1949, Die Statistische Theorie Des Atoms (Springer-Verlag, Vienna)
  83. Gombás, P., 1956, Encyclopedia of Physics, edited by S. Flügge (Springer-Verlag, Berlin), Vol. XXXVI
  84. Gorshkov, V. G., 1961, Soviet Phys. JETP 13, 1037 (1961) [Zh. Eksperim i Teor. Fiz. 40, 1481]
  85. Gorshkov, V. G., and A. I. Mikhailov, 1963, Soviet Phys. JETP 16, 70 [Zh. Eksperim. i Teor. Fiz. 43, 991 (1962)]
  86. Gorshkov, V. G.A. I. Mikhailov, and A. I. Mikhailov, 1963, Soviet Phys. JETP 17, 1439 [Zh. Eksperim. i Teor. Fiz. 44, 2142]
  87. Gorshkov, V. G.A. I. MikhailovA. I. Mikhailov, A. I. Mikhailov, and V. S. Polikanov, 1967, Soviet Phys. JETP 25, 1045
  88. Grant, I. P., 1961, Proc. Roy. Soc. (London) A262, 555
  89. Grant, I. P., 1967, Advan. Phys. 82, 747
  90. Grigoryev, E. P., and A. V. Zolotavin, 1959, Zh. Eksperim. i Teor. Fiz. 36, 272
  91. Grodstein-White, G., 1957, X-ray Attenuation Coefficients from 10 keV to 100 MeV, National Bureau of Standards Circular 583
  92. Guttmann, A. J., and H. Wagenfeld, 1967, Acta Cryst. 22, 334
  93. Guzenko, S. Y., and P. I. Fomin, 1960, Soviet Phys. JETP 11, 372 [Zh. Eksperim i Teor. Fiz. 38, 513 (1960)]
  94. Hager, R. S., and E. C. Seltzer, 1968, Nuclear Data Tables A4, 1
  95. Hall, H., 1934, Phys. Rev. 45, 620
  96. Hall, H., 1936, Rev. Mod. Phys. 8, 358
  97. Hall, H., 1951, Phys. Rev. 84, 167
  98. Hall, H., 1960, The Atomic Photoelectric Effect at High Energies, Preprint, University of California, LRL
  99. Hall, H., and J. R. Oppenheimer, 1931, Phys. Rev. 38, 57
  100. Hall, H.J. R. Oppenheimer, and W. Rarita, 1934, Phys. Rev. 46, 143
  101. Hall, H.J. R. OppenheimerW. Rarita, and E. C. Sullivan, 1966, Phys. Rev. 152, A4
  102. Harriman, J., 1956, Phys. Rev. 101, 594
  103. Hartree, D. R., 1928, Proc. Camb. Phil. Soc. 24, 89
  104. Hartree, D. R., 1971, The Calculation of Atomic Structures (Wiley, 1957)
  105. Hedgran, A., 1952, Arkiv för Fysik 5, 13
  106. Hedgran, A., and S. Hultberg, 1954, Phys. Rev. 94, 498
  107. Heitler, W., 1954, The Quantum Theory of Radiation (Oxford U. P., London), 3rd ed
  108. Hereford, F. L., 1951, Phys. Rev. 81, 482
  109. Hereford, F. L., 1951, Phys. Rev. 81, 627
  110. Hereford, F. L., and J. P. Keuper, 1953, Phys. Rev. 90, 1043
  111. Herman, F., and S. Skillman, 1963, Atomic Structure Calculations (Prentice-Hall, Englewood Cliffs, New Jersey)
  112. Herrlander, C. J., R. Stockendal, and R. K. Gupta, 1960, Arkiv för Fysik 17, 315
  113. Hertz, H., 1887, Ann. Physik 31, 983
  114. 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
  115. Hubbell, J. H., 1971, Atomic Data 3, 241
  116. 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
  117. Hulme, H. R., J. McDougall, R. A. Buckingham, and R. H. Fowler, 1935, Proc. Roy. Soc. (London) A149, 131
  118. Hultberg, S., 1955, Arkiv för Fysik 9, 245
  119. Hultberg, S., 1959, Arkiv för Fysik 15, 307
  120. Hultberg, S., B. Nagel, and P. O. M. Olsson, 1962, Arkiv för Fysik 20, 555
  121. Hultberg, S.B. NagelP. O. M. Olsson, B. Nagel, and P. Olsson, 1968, Arkiv för Fysik 38, 1-96
  122. Hultberg, S.B. NagelP. O. M. OlssonB. NagelP. Olsson, T. O'Conner, and J. H. Hamilton, Nucl. Phys. 22, 306
  123. Hultberg, S.B. NagelP. O. M. OlssonB. NagelP. OlssonT. O'ConnerJ. H. Hamilton, and R. Stockendal, 1958, Arkiv för Fysik 14, 565
  124. Hultberg, S.B. NagelP. O. M. OlssonB. NagelP. OlssonT. O'ConnerJ. H. HamiltonR. Stockendal, and R. Stockendal, 1959, Arkiv för Fysik 15, 355
  125. Hultberg, S.B. NagelP. O. M. OlssonB. NagelP. OlssonT. O'ConnerJ. H. HamiltonR. StockendalR. Stockendal, and Z. Sujkowski, 1959, Phys. Rev. Letters 3, 227
  126. Jansen, J. F. W., S. Hultberg, P. F. A. Goudsmit, and A. H. Wapstra, 1962, Nucl. Phys. 38, 121
  127. Johnson, W. R., and R. T. Deck, 1962, J. Math. Phys. 3, 319
  128. Johnston, R. R., 1964, Phys. Rev. A 136, A958
  129. Källen, G., 1958, in Handbuch der Physik, edited by S. Flügge (Springer, Berlin), Vol. V/1
  130. Källen, G., 1962, Topics in Quantum Electrodynamics (Benjamin, New York), Vol. 1
  131. Kelly, H. P., 1969, Phys. Rev. 182, 84
  132. Kelly, H. P., and A. Ron, 1972, Phys. Rev. A5, 168
  133. Kirchner, F., 1930, Handbuch der Experimentalphysik, Wien, W. and F. Harms, (eds.) (Akademische Verlagsgesellschaft, Leipzig)
  134. Knerr, R. P., and H. Vonach, 1967, Angew. Physik 22, 507
  135. Kobayashi, S., T. Matsukuma, S. Nagai, and K. Umeda, 1955, J. Phys. Soc. Japan 10, 759
  136. Köhler, H. S., and Y. C. Lin, 1971, Nuc. Phys. A167, 305
  137. Kohn, W., and L. S. Sham, 1965, Phys. Rev. 140, A1133
  138. Koopmans, T., 1933, Physica 1, 104
  139. Krause, M. O., 1969, Phys. Rev. 177, 151
  140. 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)
  141. Latter, R., 1955, Phys. Rev. 99, 1854
  142. Latyshev, G. D., 1947, Rev. Mod. Phys. 19, 132
  143. Lewis, M. N., 1953, Oscillator Strength of Ionizing Transitions, National Bureau of Standards Report 2457, 1953
  144. Liberman, D., 1970, Phys. Rev. B2, 244
  145. Liberman, D., D. T. Cromer, and J. T. Waber, 1971, Computer Phys. Commun. 2, 107
  146. Mann, J. B., and W. R. Johnson, 1971, Phys. Rev. A4, 41
  147. Manne, R., and T. Åberg, 1970, Chem. Phys. Lett. 7, 282
  148. Manson, S. T., and J. W. Cooper, 1968, Phys. Rev. 165, 126
  149. Manson, S. T.J. W. Cooper, and J. W. Cooper, 1970, Phys. Rev. A 2, 2170
  150. Marty, N., 1952, Compt. Rend. 234, 938
  151. Matese, J. J., and W. R. Johnson, 1965, Phys. Rev. 140, A1
  152. Meldner, H. W., and J. D. Perez, 1971, Phys. Rev. A4, 1388
  153. Messiah, A., 1962, Quantum Mechanics, (North-Holland Publ. Co., Amsterdam) (Translated from the French by G. M. Temmer)
  154. Mikhailov, A. I., 1969, Sov. Phys. JETP 28, 326
  155. Molière, G., 1947, Z. Naturforsch. 2a, 133
  156. Moliére, G., 1948, Z. Naturforsch. 3a, 78
  157. Mork, K. J., and H. Olsen, 1961, Phys. Norvegica 1: No. 1, 23
  158. Mork, K. J.H. Olsen, and H. Olsen, 1965, Phys. Rev. 140, B1661
  159. Mork, K. J.H. OlsenH. Olsen, and H. Olsen, 1968, Phys. Rev. 166, 1862
  160. Moroi, D. S., 1961, Phys. Rev. 123, 167
  161. Morse, P. M., and H. Feshbach, 1953, Methods of Theoretical Physics (McGraw-Hill, N.Y.)
  162. Mott, N. F., and H. S. W. Massey, 1965, The Theory of Atomic Collision (Oxford U. P., Oxford), 3rd ed
  163. McCrary, J. H., E. H. Plassmann, J. M. Puckett, A. L. Conner, and G. W. Zimmermann, 1967, Phys. Rev. 153, 307
  164. McGinnies, R. T., 1959, X-Ray Attenuation Coefficients from 10 keV to 100 MeV, National Bureau of Standards Supplement to Circular 583, 1959
  165. McGuire, E. J., 1967, Phys. Rev. 161, 51
  166. McGuire, E. J., 1968, Phys. Rev. 175, 20
  167. McMaster, W. H., and F. L. Hereford, 1954, Phys. Rev. 95, 723
  168. 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)
  169. McVoy, K. W., 1957, Phys. Rev. 108, 365
  170. McVoy, K. W., and U. Fano, 1959, Phys. Rev. 116, 1168
  171. Nagasaka, F. G., 1955, Ph.D. Thesis, University of Notre Dame, 1955 (unpublished)
  172. Nagasaka, F. G., and E. Guth, 1958, Bull. of Amer. Phys. Soc. 4, 13
  173. Nagel, B., 1960, Arkiv för Fysik 18, 1
  174. Nagel, B., 1963, Arkiv för Fysik 24, 151
  175. Nagel, B., and P. O. M. Olsson, 1960, Arkiv för Fysik 18, 29
  176. Olsen, H., L. C. Maximon, and H. Wergeland, 1957, Phys. Rev. 106, 27
  177. Oms, J., and P. Chedin, Journal De Physique, 1967, Tome 28, 281
  178. Parthasaradhi, K., 1968, Indian J. Pure Appl. Phys. 6, 385
  179. Parthasaradhi, K., V. Lakshminarayana, and S. Jnanananda, 1964a, Indian J. Pure Appl. Phys. 2, 290
  180. Parthasaradhi, K.V. LakshminarayanaS. Jnanananda, V. Lakshminarayana, and S. Jnanananda, 1964b, Indian J. Pure Appl. Phys. 2, 306
  181. Parthasaradhi, K.V. LakshminarayanaS. JnananandaV. LakshminarayanaS. Jnanananda, V. Lakshminarayana, and S. Jnanananda, 1965, Indian J. Pure Appl. Phys. 3, 323
  182. Parthasaradhi, K.V. LakshminarayanaS. JnananandaV. LakshminarayanaS. JnananandaV. LakshminarayanaS. Jnanananda, V. Lakshminarayana, and S. Jnanananda, 1966a, Phys. Rev. 142, 9
  183. Parthasaradhi, K.V. LakshminarayanaS. JnananandaV. LakshminarayanaS. JnananandaV. LakshminarayanaS. JnananandaV. LakshminarayanaS. Jnanananda, V. Lakshminarayana, and S. Jnanananda, 1966b, Indian J. Pure Appl. Phys. 4, 87
  184. Perkin, J. L., and A. C. Douglas, 1967, Proc. Phys. Soc. (London) 92, 618
  185. Perlman, H. S., and B. A. Robson, 1959, Australian J. of Phys. 12, 30
  186. Popov, V. S., 1970, Sov. J. Nucl. Phys. 12, 235 (1971) [Yad. Fiz. 12, 429]
  187. Prange, R. A., and R. H. Pratt, 1957, Phys. Rev. 108, 139
  188. Pratt, R. H., 1960a, Phys. Rev. 117, 1017
  189. Pratt, R. H., 1960b, Phys. Rev. 119, 1619
  190. Pratt, R. H., R. D. Levee, R. L. Pexton, and W. Aron, 1964, Phys. Rev. 134, A898 ibid.134, A916
  191. Pratt, R. H.R. D. LeveeR. L. PextonW. Aron, and H. K. Tseng, 1972, Phys. Rev. A 5, 1063
  192. Rakavy, G., and A. Ron, 1965, Phys. Letters 18, 207
  193. Rakavy, G.A. Ron, and A. Ron, 1967, Phys. Rev. 159, 50
  194. Raman, S., R. Gunnink, T. A. Walkiewicz, and B. Martin, 1972, Bull. Am. Phys. Soc. 17, 468
  195. Raman, S.R. GunninkT. A. WalkiewiczB. MartinRalston, A., and H. S. Wilf, 1962, eds. Mathematical Methods for Digital Computers (Wiley, N.Y.)
  196. Rao, V. V., and K. Parthasaradhi, 1968, Indian J. Pure Appl. Phys. 6, 642
  197. Rao, V. V.K. Parthasaradhi, and K. Parthasaradhi, 1969, J. Appl. Phys. 40, 5391
  198. Rao, V. V.K. ParthasaradhiK. Parthasaradhi, K. Parthasaradhi, and S. Jnanananda, 1969, Indian J. Pure Appl. Phys. 7, 271
  199. Reitan, A., 1961, Physica Norvegica 1, 113
  200. Rimsky-Korsakov, A. A., and V. V. Smirnov, 1962, Soviet Phys. JETP 15, 47 [Zh. Eksperim. i Teor. Fiz. 42, 67]
  201. Ron, A., 1966, Ph.D. Dissertation, The Hebrew University, Israel, (1966) (unpublished)
  202. Rose, M. E., 1958, Internal Conversion Coefficients (North Holland Publ. Co.,)
  203. Rose, M. E., 1961, Relativistic Electron Theory (Wiley, N.Y.)
  204. Rose, M. E., and L. C. Biedenharn, 1954, Theory of the Photoelectric Effect, ORNL Report 1779
  205. Rosen, A., and I. Lindgren, 1968, Phys. Rev. 176, 114
  206. Rotenberg, M., R. Bivins, N. Metropolis, and J. K. Wooten, Jr., 1959, The 3j and 6j Symbols (Massachusetts Institute of Technology, Cambridge, Mass.)
  207. Roy, R. R., and R. D. Reed, 1968, Interactions of Photons and Leptons with Matter (Academic, N.Y.)
  208. Rozsnyai, B. F., 1972, Phys. Rev. A5, 1137
  209. Ryde, H., and Z. Sujkowski, 1962, Arkiv för Fysik 20, 289
  210. Sauter, F., 1931a, Ann. Physik 9, 217
  211. Sauter, F., 1931b, Ann. Physik 11, 454
  212. Sauter, F., and H. O. Wuster, 1955, Z. Physik 141, 83
  213. Scheck, F., and M. Stingl, 1968, Z. Physik 209, 93
  214. Schmickley, R. D., 1966, Ph.D. Dissertation, Stanford University, 1966 (unpublished)
  215. Schmickley, R. D., and R. H. Pratt, 1967, Phys. Rev. 164, 104
  216. Schweber, S. S., 1961, An Introduction to Relativistic Quantum Field Theory (Row, Peterson and Co., New York), pp. 243 and 566
  217. Scofield, J., 1972, private communication
  218. Seemann, K. W., 1956, Bull. Am. Phys. Soc. 1, 198
  219. Shalitin, D., 1965, Phys. Rev. 140, A1857
  220. 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
  221. Singh, M. I., and B. S. Sood, 1972, Nuovo Cimento 8B, 261
  222. Slater, J. C., 1951, Phys. Rev. 81, 385
  223. Slater, J. C., 1960, Quantum Theory of Atomic Structure (McGraw-Hill N.Y.), Vol. I and II
  224. Slater, J. C., 168, Phys. Rev. 165, 658
  225. Sliv, L., and J. Band, 1956, Tables of Internal Conversion Coefficients of Gamma-rays (Academy of Sciences USSR)
  226. Sommerfeld, A., 1939, Atombau and Spektrellinien (F. Vieweg and Son, Braunschweig, 1939), Vol. 2, p. 457
  227. Sommerfeld, A., and A. W. Maue, 1935, Ann. Physik 22, 629
  228. Sommerfeld, A.A. W. Maue, and G. Schur, 1930, Ann. Physik 4, 409
  229. Starace, A. F., 1970, Phys. Rev. A2, 118
  230. Stobbe, M., 1930, Ann. Physik 7, 661
  231. Storm, E., and H. I. Israel, 1967, LA-3753 (1967)
  232. Storm, E.H. I. Israel, 1970, Nuclear Data Tables A7, 565
  233. Sujkowski, Z., 1961, Arkiv för Fysik 20, 269
  234. Swirles, B., 1935, Proc. Roy. Soc. (London) 152, 625
  235. Taylor, B. N., W. H. Parker, and D. N. Langenberg, 1969, Rev. Mod. Phys. 41, 375
  236. Titus, F., 1958, Bull. Am. Phys. Soc. 4, 269
  237. Titus, F., 1959, Phys. Rev. 115, 351
  238. Titus, F., 1965, Nucl. Phys. 69, 179
  239. Tolhoek, H. A., 1956, Rev. Mod. Phys. 28, 277
  240. Tseng, H. K., 1970, Ph.D. Dissertation, University of Pittsburgh, 1970 (unpublished)
  241. Tseng, H. K., and R. H. Pratt, 1971, Phys. Rev. A 4, 1835
  242. Tseng, H. K.R. H. Pratt, and R. H. Pratt, 1972, Phys. Rev. A 6, 2049
  243. Tucker, T. C., L. D. Roberts, C. W. Nestor, T. A. Carlson, and F. B. Malik, 1968, Phys. Rev. 174, 118
  244. 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)
  245. Weber, T. A., and C. J. Mullin, 1962, Phys. Rev. 126, 615
  246. Weinberg, S., 1965, Phys. Rev. 140, B516
  247. Wiedenbeck, M., 1962, Phys. Rev. 126, 1009

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