Abstract
Crystal structure of some intermetallic phases is known to be controlled by a number of valence electrons in an alloy. Phase stability was explained by Fermi sphere - Brillouin zone interaction [1-3]. The sequence of electron phases in the Cu-Zn alloy along the valence concentration 1.35 → 1.5 → 1.62 → 1.75 is as follows:
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References
N.F. Mott and H. Jones. “The Theory of the Properties of Metals and Alloys”, Clarendon Press, Oxford (1936).
W. Hume-Rothery and G.V. Raynor. “The Structure of Metals and Alloys”, The Institute of Metals, London (1956).
H. Jones. “The theory of Brillouin zones and electronic states in crystals,” North-Holland Publishing Company, Amsterdam (1962).
V.F. Degtyareva and E.G.Ponyatovskii, High-pressure phases in the alloys of B-elements - a new type of electron phases, Sov. Phys. Solid State 24(9): 1514 (1982)
E.G. Ponyatovskii and V.F. Degtyareva, Specific features of T-C-P diagrams for binary systems of B-elements, High Pressure Research 1(3): 163 (1989).
V.F. Degtyareva and E.G. Ponyatovskii, Formation of phases in binary s, p-bonded metal alloys under high pressure, in: “Statics and Dynamics of Alloy Phase Transformations”, P.E.A.Turchi A. Gonis, ed., Plenum Press, New-York (1994)
P.K. Srivastava, B.C. Giessen, and N.J. Grant, New metastable electron phases in binary B-metal alloys, Acta Met. 6(10):1199 (1968).
B.C. Giessen, M. Morris, and N.J. Grant, Metastable indium - bismuth phases produced by rapid quenching, Trans. Met. Soc. AIME 239(1):883 (1967).
R.H. Kane, B.C. Giessen, and N.J. Grant, New metastable phases in binary tin alloys systems, Acta Met. 14(5):605 (1966).
B.C. Giessen, R.H. Kane, and N.G. Grant, A metastable intermediate phase in the system indium - indium antimony, Nature 207:854 (1965).
M. Hansen and K. Anderko. “Constitution of Binary Alloys,” McGrow-Hill, New York (1958).
S.K. Sikka, H. Olijnyk, and W.B. Holzapfel, Structural phase transformations in Si and Ge under pressures up to 50 GPa, Phys. Letters 103A(3):137 (1984).
J.Z. Hu and I.L. Spain, Phases of silicon at high pressure, Solid State Commun. 51(5):263 (1984).
N, E. Bristerk, S. Desgreniers, and A.L. Ruoff, Phase - transition studies of germanium to 1.25 Mbar, Phys. Rev. Lett. 56(18):1944 (1986)
S.T. Weir, Y.K. Vohra, and A.L. Ruoff, Phase transitions in GaSb to 110 Gpa (1.1 Mbar), Phys. Rev.B 36(8):4543 (1987).
S.T. Weir, Y.K. Vohra, C.A. Vanderborgh, and A.L.Ruoff, Structural phase transitions in GaAs to 108 Gpa, Phys. Rev. B 39(2):m0 (1989)
C.A. Vanderborgh, Y.K. Vohra, and A.L. Ruoff, Structural phase transitions in InSb to 66 Gpa, Phys. Rev. B 40(18):12450 (1989)
V.F. Degtyareva, F. Porsch, E.G. Ponyatovskii, and W.B. Holzapfel, Structural investigations of the amorphous alloy Al0.3 Ge0.7 under high pressure, to be published in Phys. Rev. Lett.
D. Weaire and A.R. Williams, On the axial ratios of simple hexagonal alloys of tin, Phil. Mag. 19(162):1105 (1969).
J.Z. Hu, L.D. Merkle, CS. Menoni, and I.L. Spain, Crystal data for high pressure phases of silicon, Phys. Rev. B; 34(7):4679 (1986)
For crystal structure description, see W.B. Pearson. “A Handbook of Lattice Spacings and Structures of Metals and Alloys”, Pergamon Press, New York (1967).
W.B. Pearson. “Crystal Chemistry and Physics of Metals and Alloys”, Wiley, New York (1972).
K. Takemura, High-pressure structural study of barium to 90 Gpa, Phys. Rev.B 50:16238 (1994).
S.J. Duclos, Y.K. Vohra, and A.L. Ruoff, Experimental study of the crystal stability and equation of state of Sito 248 GPa, Phys. Rev. B 41(17):12021 (1990)
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© 1996 Plenum Press, New York
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Degtyareva, V.F. (1996). Brillouin Zone Concept and Crystal Symmetry of Intermetallic High Pressure Phases. In: Gonis, A., Turchi, P.E.A., Kudrnovský, J. (eds) Stability of Materials. NATO ASI Series, vol 355. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0385-5_41
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DOI: https://doi.org/10.1007/978-1-4613-0385-5_41
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