Electron Momentum Density of Hexagonal Magnesium Studied by Compton Scattering

Abstract:

Directional Compton profiles of single crystal of hcp magnesium have been measured with scattering vectors along the [10 10], [1120] and [0001] directions in reciprocal space (special directions ΓΜ, ΓΚ, ΓΑ) using high-energy (662 keV) gamma radiation from a 137Cs isotope source. The experimental data were compared with corresponding theoretical Korringa-Kohn-Rostoker (KKR) calculations. The directional difference profiles, both experimental (of medium resolution) and theoretical ones, show very small anisotropy of the electron momentum density in magnesium, 2-3 times lower than in zinc and cadmium single crystals, significantly lower than observed in cubic metals. This small directional effect is in good agreement with Compton 60-keV energy experiments and positron annihilation data presented by other authors.

• Periodical: Solid State Phenomena (Volume 112)
• Pages: 123-132
• DOI: https://doi.org/10.4028/www.scientific.net/SSP.112.123
• Online since: May 2006
• Authors: Marek Brancewicz, Henryk Reniewicz, Andrzej Andrejczuk, Ludwik Dobrzyński, Eugeniusz Żukowski, Stanisław Kaprzyk
• Keywords: Compton Scattering, Directional Electron Momentum Distribution, KKR Theory, Magnesium Crystal

References

[1] M. J. Cooper: Rep. Prog. in Physics Vol. 48 (1985), p.415.

[2] W. Schülke: Nucl. Instr. and Methods A Vol. 280 (1989), p.383.

[3] L. Dobrzyński: Z. Naturforch. A Vol. 48 (1993), p.266.

[4] M. Cooper, P. Mijnarends, N. Shiotani, N. Sakai and A. Bansil (Eds. ): X-ray Compton Scattering (Oxford University Press Inc., New York 2005).

DOI: 10.1093/acprof:oso/9780198501688.001.0001

[5] R. W. G. Wyckoff: Crystal Structures (Wiley, New York 1963).

[6] O. Aikala: Phil. Mag. Vol. 31 (1975), p.935; O. Aikala: Phil. Mag. Vol. 33 (1976), p.603.

[7] S. Manninen and T. Paakkari: Phil. Mag. B Vol. 44 (1981), p.127.

[8] N. Sakai and H. Sekizawa: J. Phys. Soc. Jpn. Vol. 50 (1981) p.2606.

[9] R. J. Weiss: Phil. Mag. Vol. 24 (1971), p.1447.

[10] N. Shiotani, T. Okada, H. Sekizawa and S. Wakoh: J. Phys. Soc. Jpn. Vol. 50 (1981) p.498.

[11] S. Wakoh: J. Phys. Soc. Jpn. Vol. 50 (1981) p.490.

[12] M. Matsumoto, T. Sano and S. Wakoh: J. Phys. Soc. Jpn. Vol. 68 (1999) p.1035.

[13] B. Williams (Ed. ): Compton Scattering (McGraw-Hill, London 1977).

[14] A. Andrejczuk, L. Dobrzyński, J. Kwiatkowska, F. Maniawski, S. Kaprzyk, A. Bansil, E. śukowski, M. J. Cooper: Phys. Rev. Vol. 48 (1993), p.15552.

DOI: 10.1103/physrevb.48.15552

[15] A. Andrejczuk, E. śukowski, L. Dobrzyński, M. J. Cooper: Nucl. Instr. and Meth. A Vol. 337 (1993), p.133.

[16] J. Felsteiner, P. Pattison and M. J. Cooper: Philos. Mag. Vol. 30 (1974), p.537.

[17] A. Bansil, S. Kaprzyk, A. Andrejczuk, L. Dobrzyński, J. Kwiatkowska, F. Maniawski, E. śukowski: Phys. Rev. B Vol. 57 (1998), p.314.

DOI: 10.1103/physrevb.48.15552

[18] H. Reniewicz, A. Andrejczuk, M. Brancewicz, E. śukowski, L. Dobrzyński and S. Kaprzyk: Phys. Stat. Sol. b Vol. 241 (2004), p.1849.

DOI: 10.1002/pssb.200302002

[19] K. Hämäläinen, S. Manninen, C. -C. Kao, W. Caliebe, J. B. Hastings, A. Bansil, S. Kaprzyk and P.M. Platzman: Phys. Rev. B Vol. 54 (1996), p.5453.

DOI: 10.1103/physrevb.54.5453

[20] M. Itou, Y. Sakurai, T. Ohata, A. Bansil, S. Kaprzyk, Y. Tanaka, H. Kawata and N. Shiotani: J. Phys. Chem. Solidi Vol. 59 (1998), p.99.

DOI: 10.1016/s0022-3697(97)00146-7

[21] A. Bansil: Electronic Band Structure and its Applications, edited by M. Yussouff, Lecture Notes in Physics, Vol. 283 (Springer, Verlag, Heidelberg, 1987), p.273; A. Bansil, S. Kaprzyk, and J. Tobola: Applications of Multiple Scattering Theory to Materials Science, edited by W. H. Butler, P. H. Dederichs, A. Gonis, and R. L. Weaver, MRS Symposia Proceedings No. 253 (Materials Research Society, Pittsburgh, 1992), p.505; A. Bansil, R. S. Rao, P. E. Mijnarends, and L. Schwartz: Phys. Rev. B Vol. 23 (1981).

DOI: 10.1007/3540180982_16

[22] S. Kaprzyk and A. Bansil: Phys. Rev. B Vol. 42 (1990), p.7358.

[23] A. Bansil and S. Kaprzyk: Phys. Rev. B Vol. 43 (1991), p.10335.

[24] U. von Barth and L. Hedin: J. Phys. C Vol. 5 (1072), p.1629.

[25] S. Kaprzyk: Acta Physica Polonica A Vol. 91 (1997), p.135.

[26] G. Lehmann and M. Taut: Phys. Stat. Sol. b Vol. 54 (1972), p.469.

[27] H. Reniewicz, A. Andrejczuk, L. Dobrzyński, E. śukowski and S. Kaprzyk: J. Phys.: Condens. Matter Vol. 13 (2001), p.11957.

[28] A. J. Rollason, R. S. Holt and M. J. Cooper: J. Phys. F: Metal Phys. Vol. 13 (1983), p.1807.

[29] A. J. Rollason, J. R. Schneider, D. Laundy and M. J. Cooper: J. Phys. F: Metal Phys. Vol. 17 (1987), p.1105.

[30] P. Pattison, N. K. Hansen, J. R. Schneider: Z. Phys. B Vol. 46 (1982), p.285.

[31] A. Andrejczuk, L. Dobrzyński, J. Kwiatkowska, F. Maniawski, S. Kaprzyk, A. Bansil, E. śukowski and M. J. Cooper: Phys. Rev. B Vol. 48 (1993), p.15552.

DOI: 10.1103/physrevb.48.15552

[32] N. K. Hansen, P. Pattison and J. R. Schneider: Z. Phys. B Vol. 35 (1979), p.215.

[33] G. Loupias, J. Petiau, A. Issolah and M. Schneider: Phys. Stat. Sol. b Vol. 102 (1980), p.79.

DOI: 10.1002/pssb.2221020105

[34] K. Hämäläinen, S. Manninen, C. -C. Kao, W. Caliebe, J. B. Hastings, A. Bansil, S. Kaprzyk and P. M. Platzman: Phys. Rev. B Vol. 54 (1996), p.5453.

DOI: 10.1103/physrevb.54.5453

[35] Y. Garreau and G. Loupias: Sol. State Comm. Vol. 74 (1990) p.583.