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Hartree-Fock investigation of the electron momentum distribution in metallic beryllium

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Zeitschrift für Physik B Condensed Matter

Abstract

The wave function resulting from an accurate Hartree-Fock computation has been used to describe the electron momentum distribution in beryllium metal. Appreciable discrepancies are found with respect to a simple model that amounts to filling with plane waves the first plus second Brillouin zone. In comparing the calculated with the experimental directional Compton profiles, very close agreement is found in particular with a recent set of accurate γ-ray profiles. The differential Compton profiles are also semiquantitatively reproduced, better on average than with all previous calculations. Concerning the Fourier transforms of the Compton profiles, all the features of the experimental curves are accurately reproduced, in particular the position of the zero passages, which is a powerful test of the adequacy of a theoretical model to account for the metallic nature of the solid. The possible influence of the correlation correction is discussed, and it is shown that such a correction would substantially improve the overall agreement with the experiment.

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References

  1. Phillips, W.C., Weiss, R.J.: Phys. Rev.171, 790 (1968)

    Google Scholar 

  2. Curratt, R., Decicco, P.C., Kaplow, R.: Phys. Rev.B3, 243 (1971)

    Google Scholar 

  3. Berko, S.: In: Compton Scattering. Williams, B.G. (ed.), p. 273. New York: McGraw Hill 1977

    Google Scholar 

  4. Loupias, G., Petiau, J., Issolah, A., Schneider, M.: Phys. Status Solidib 102, 79 (1980)

    Google Scholar 

  5. Manninen, S., Suortti, P.: Philos. Mag. B40, 199 (1979)

    Google Scholar 

  6. Hansen, N.K., Pattison, P., Schneider, J.R.: Z. Phys. B-Condensed Matter35, 215 (1979)

    Google Scholar 

  7. Stewart, A.T., Shand, J.B., Donaghly, J.J., Kusmiss, J.H.: Phys. Rev.128, 118 (1962)

    Google Scholar 

  8. Rennert, P., Dörre, Th., Gläser, U.: Phys. Status Solidi b87, 221 (1978)

    Google Scholar 

  9. Taut, M.: Phys. Status Solidsb 54, 149 (1972)

    Google Scholar 

  10. Aikala, O.: Philos. Mag.33, 603 (1976)

    Google Scholar 

  11. Dovesi, R., Pisani, C., Ricca, F., Roetti, C.: Phys. Rev. B (in press)

  12. Dovesi, R., Angonoa, G., Causa', M.: Philos. Mag. (in press)

  13. Stewart, R.F.: Acta Crystallogr. A33, 33 (1977)

    Google Scholar 

  14. Yang, Y.W., Coppens, P.: Acta Crystallogr. A34, 61 (1978)

    Google Scholar 

  15. Weiss, R.J.: Philos. Mag. B37, 659 (1978)

    Google Scholar 

  16. Dovesi, R., Pisani, C., Ricca, F., Roetti, C.: Phys. Rev. B22, 5936 (1980)

    Google Scholar 

  17. Angonoa, G., Dovesi, R., Pisani, C., Roetti, C.: Philos. Mag.44, 413 (1981)

    Google Scholar 

  18. Causà, M., Dovesi, R., Pisani, C., Roetti, C.: Philos. Mag.44, 419 (1981)

    Google Scholar 

  19. Mijnarends, P.E.: Physica63, 235 (1973)

    Google Scholar 

  20. Mickish, D.J., Junz, A.B., Pantelides, S.T.: Phys. Rev. B10, 1369 (1974)

    Google Scholar 

  21. Weyrich, W., Pattison, P., Williams, B.G.: Chem. Phys.41, 271 (1979)

    Google Scholar 

  22. Schülke, W.: Phys. Status Solidib 80, K67 (1977); ibid.82, 229 (1977)

    Google Scholar 

  23. Chaddah, P., Sahni, V.C.: Phys. Lett.56A, 323 (1976)

    Google Scholar 

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Dovesi, R., Pisani, C., Ricca, F. et al. Hartree-Fock investigation of the electron momentum distribution in metallic beryllium. Z. Physik B - Condensed Matter 47, 19–26 (1982). https://doi.org/10.1007/BF01686178

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  • DOI: https://doi.org/10.1007/BF01686178

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