Brillouin zone concept and crystal structures of sp metals under high pressure

High Pressure Research

Volumn 23, Issue 3 SPEC. ISS., 2003, Pages 253-257

  Degtyareva, V F ^a  

^a INSTITUTE OF SOLID STATE PHYSICS   (Russian Federation)

Author keywords

Alkali metals; High pressure; Hume Rothery phases; Phase stability

Indexed keywords

ALKALI METALS; COPPER ALLOYS; CRYSTAL STRUCTURE; DEFORMATION; ENERGY GAP; HIGH PRESSURE EFFECTS; KINETIC ENERGY; PRECIOUS METAL ALLOYS;

BRILLOUIN ZONE-FERMI SPHERE; ELECTRON CONCENTRATIONS; HUME-ROTHERY PHASES; PHASE STABILITY;

BINARY ALLOYS;

EID: 2542558831     PISSN: 08957959     EISSN: None     Source Type: Journal    
DOI: 10.1080/0895795032000102441     Document Type: Conference Paper

References (18)

1. Hume-Rothery, W. (1926). Researches on the nature, properties, and condition of formation of intermetallic compounds, J. Inst. Metals, 35, 319.
2. Mott, N. F. and Jones, H. (1936). The Theory of the Properties of Metals and Alloys (Oxford University Press, London).
3. Jones, H. (1962). The Theory of Brillouin Zones and Electron States in Crystals (North-Holland, Amsterdam).
4. Ashcroft, N. (2002). In the talk on the Congress of the International Union of Crystallography, IUCr XIX, 7-15 August 2002, Geneva, Switzerland.
5. Degtyareva, V. F. (2000). Crystal structure of a high-pressure phase in Bi-based alloys related to Si VI, Phys. Rev. B, 62, 9.
6. Degtyareva, V. F., Degtyareva, O. and Allan, D. R. (2003). Ordered Si -VI-type crystal structure in Bi-Sn alloy under high pressure Phys. Rev. B, 67, 2121xx.
7. Hanfland, M., Schwarz, U., Syassen, K. and Takemura, K. (1999). Crystal structure of the high-pressure phase silicon VI, Phys. Rev. Lett., 82, 1197.
8. Takemura, K. Christensen, N. E., Novikov, D. L., Syassen, K., Schwarz, U. and Hanfland, M. (2000). High-pressure Cmca and hep phases of germanium, Phys. Rev. B, 62, R10603.
9. The program ZONE was developed in the Institute of Solid State Physics, Russian Academy of Sciences, Chemogolovka to construct Brillouin zone polyhedra and to draw the Fermi sphere for a given electron concentration. The program calculates the volume of Briliouin zone, allowing estimation of the number of electron states inside the zone.
10. Harrison, A. W. (1966). Pseudopotentials in the Theory of Metals (Benjamin, New York-Amsterdam).
11. Schwarz, U., Takemura, K., Hanfland, M. and Syassen, K. (1998). Crystal structure of cesium-V, Phys. Rev. Lett., 81, 2711.
12. Schwarz, U., Syassen, K., Grzechnik, A. and Hanfland, M. (1999). The crystal structure of rubidium-VI near 50 GPa, Solid State Commun., 112, 319.
13. Hanfland, M., Syassen, K., Christensen, N. E. and Novikov, D. L. (2000). New high-pressure phases of lithium, Nature, 408(6809), 174.
14. McMahon, M. I., Nelmes, R. J. and Rekhi, S. (2001). Complex crystal structure of cesium-Ill, Phys. Rev. Lett., 87, 255502.
15. Nelmes, R. J., McMahon, M. I., Loveday, J. S. and Rekhi, S. (2002). Structure of Rb-III: Novel modulated stacking structures in alkali metals, Phys. Rev. Lett., 88, 155503.
16. Fortov, V. E., Yakushev, V. V., Kagan, K. L., Lomonosov, I. V., Postnov, V. I., Yakusheva, T. I. and Kuryanchik, A. N. (2001). Anomalous resistivity of lithium at high dynamic pressure, JETP Lett., 74, 458.
17. Shimizu, K., Ishikawa, H., Takao, D., Yagi, T. and Amaya, K. (2002). Superconductivity in compressed lithium at 20K, Nature, 419, 597; Struzhkin, V. V., Evemets, M. I., San, W., Mao, M. K. and Hemley, R. J. (2002). Superconductivity in dense lithium, Science, 298, 1213.
18. Shimizu, K., Ishikawa, H., Takao, D., Yagi, T. and Amaya, K. (2002). Superconductivity in compressed lithium at 20K, Nature, 419, 597; Struzhkin, V. V., Evemets, M. I., San, W., Mao, M. K. and Hemley, R. J. (2002). Superconductivity in dense lithium, Science, 298, 1213.