Abstract
The Compton scattering experiment has recently been developed as a sensitive probe for electron wave functions in atoms, molecules and solids. The experimental technique in general and the basic theoretical assumptions are discussed. The Compton profile of ionic crystals is evaluated on the basis of a tight-binding (Heitler — London) model and Löwdin’s expansion in terms of overlap integrals. Comparison between experimental and theoretical results for LiF and LiH is made.
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References
For a review, see M. Cooper, Advan. Phys. 20, 453 (1971).
B. Williams (Editor), “The Compton Effect”, (McGraw-Hill, book to be published).
A.T. Stewart and L.O. Roelling (Editors), “Positron Annihilation”, (Academic Press, N.Y., 1967 ).
E. Weigold, S.T. Hood, and P.J.O. Teubner, Phys. Rev. Lett. 30, 475 (1973).
I.E. McCarthy, A. Ugbabe, E. Weigold and P.J.0. Teubner, Phys. Rev. Lett. 33, 459 (1974).
S. Dey, I.E. McCarthy, P.J.O. Teubner, and E. Weigold, Phys. Rev. Lett. 34, 782 (1975).
P.O. Löwdin, “A Theoretical Investigation into Some Properties of Ionic Crystals” ( Almgvist & Wiksells, Uppsala, 1948 ).
The first part of Section III a is rather close to the presentation by J.J. Sakurai, “Advanced Quantum Mechanics”, (Addison-Wesley, 1967), Sec. 2–5.
W. Heitler, “The Quantum Theory of Radiation”, (Oxford University Press, 1954), 3rd edition, p. 192.
A.I. Achieser and W.B. Berestezki, “Quantenelektrodynamik”, (B.G. Teubner Verlagsgesellschaft, Leipzig 1962 ).
P. Eisenberger and W.A. Reed, Phys. Rev. B2, 3237 (1974).
S. Manninen, T. Paakkari, and K. Kajantie, Philos. Mag. 29, 167 (1974).
R. Ribberfors, Phys. Rev. B, 12, 2067 (1975).
R. Ribberfors, Phys. Rev. B, 12, 3136 (1975)
An approach similar to the one in refs. 11–14 has been considered in connection with radiation transport theory (B.R. Wienke,,Nuclear Science and Engineering, 52, 247 (1973); J. Quant. Spectrosc. Radiat. Transfer, 15, 151 (1975)).
R. Ribberfors, “Relativistic differential cross sections for Compton scattering of photons from bound electron systems”, Report LiH-IFM-R-40 (Linköping University, Sept. 1975 ).
T. Paakkari, E.-L. Kohonen, O. Aikala, K. Mansikka, and S. Mikkola, Phys. Fenn. 9, 207 (1974).
P.O. Löwdin, Philos. Mag. Suppl. 1, 1 (1956).
O. Aikala and K. Mansikka, Phys. Kondens. Materie, 11, 243 (1970); ibid. 14, 105 (1972).
O. Aikala, V. Jokela, and K. Mansikka, J. Phys. C: Solid State Phys., 6, 1116 (1973).
K.-F. Berggren, Solid State Commun., 9, 861 (1971).
S. Manninen, T. Paakkari, O. Aikala, and K. Mansikka, J. Phys. C: Solid State Phys., 6, L 410 (1973).
O. Aikala, K. Mansikka, L. Ekström, and K.-F. Berggren, Philos. Mag., 28, 997 (1973).
K. Mansikka and O. Aikala, Ann. Univ. Turkuensis AI, 162, 43 (1973).
W.A. Reed and P. Eisenberger, Phys. Rev. B, 6, 4596 (1972).
W.A. Reed, P. Eisenberger, K.C. Pandey, and L.C. Snyder, Phys. Rev. B, 10, 1507 (1974).
R.J. Weiss, Philos. Mag., 21, 1169 (1970).
W.A. Reed, P. Eisenberger, F. Martino, and K.-F. Berggren, Phys. Rev. Lett., 35, 114 (1975).
K.-F. Berggren, F. Martino, P. Eisenberger, and W.A. Reed, Phys. Rev. B, Feb. (1976) (in press).
R.N. Euwema, G.G. Wepfer, G.T. Surratt, and D.L. Wilhite, Phys. Rev. B, 9, 5249 (1974).
E. Clementi, IBM J. Res. Dev., 9, 2 (1965).
A.B. Kunz, Phys. Rev. B, 2, 2224 (1970).
W.H. Zachariasen, Acta, Cryst. A24, 324 (1968).
R.C.G. Killean, J.L. Lawrence and V.C. Sharma, Acta. Cryst. A28, 405 (1972).
C.J. Howard and R.G. Khadake, Acta. Cryst. A30, 296 (1974).
C.J. Howard and B. Dawson, International Crystallography Conf., Melbourne, Australia, 1974.
W.H. Mueller, J.P. Blackledge, and G.G. Libowitz (Eds.), “Metal Hydrides” ( Academic Press, New York, 1968 ).
See e.g., T.R.P. Gibb in “Progress in Inorganic Chemistry”, Ed. F.A. Cotton (Interscience Publishers, Inc., New York, 1962), Vol. III, pp. 315–522.
E.A. Hylleraas, Z. Phys., 63, 771 (1930).
S.O. Lundqvist, Arkiv for Fysik, 8, 177 (1954).
A. Morita and K. Takahashi, Prog. Theor. Phys., 19, 257 (1958).
A.B. Kunz, phys. status solidi, 36, 301 (1969);
A.B. Kunz and D.J. Mickish, Phys. Rev. B, 11, 1700 (1975).
W. Brandt, L. Eder, and S.O. Lundquist, Phys. Rev., 142, 165 (1966).
K.-F. Berggren, J. Phys. C: Solid St. Phys., 2, 802 (1969).
W.C. Phillips and R.J. Weiss, Phys. Rev., 182, 923 (1969).
W. Brandt, Phys. Rev. B, 2 561 (1970).
K.-F. Berggren and F. Martino, Phys. Rev. B, 3, 1509 (1971).
J. Felsteiner, R. Fox, and S. Kahane, Phys. Rev. B, 6, 4689 (1972).
G. Grosso, G. Pastori Parravicini, and R. Resta, phys. stat. sol. (to be published).
T. Paakkari (private communication).
K.-F. Berggren, “Anisotropic Compton scattering in crystalline LiH”, Report LiH-IFM-IS-40 ( Linköping University, March 1975 ).
W.A. Reed and P. Eisenberger, Phys. Rev. B, 6, 4596 (1972).
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Berggren, KF. (1976). Inelastic Scattering of Photons from Ionic Crystals and Effects of Overlap. In: Calais, JL., Goscinski, O., Linderberg, J., Öhrn, Y. (eds) Quantum Science. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-1659-7_10
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DOI: https://doi.org/10.1007/978-1-4757-1659-7_10
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