Abstract
The elastic constants of nine transition metals and four rare-earths and actinides are calculated using the ion-ion interaction defined by us recently. The volume contribution to elastic moduli is calculated by exploiting the density dependence of the screening function. The calculated volume contribution to bulk modulus is found to vary between 17.1% and 62.4% for a number of metals, which is quite significant and play an important role for describing quantitatively the violation of the Cauchy ratio for these metals.
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G Jaccuci and R Taylor,J. Phys. F11, 787 (1981)
M S Duesbery and R Taylor,J. Phys. F7, 47 (1977)
M S Duesbery, G Jaccuci and R Taylor,J. Phys. F9, 413 (1979)
D G Pettifor and M A Ward,Solid State Commun. 49, 291 (1984)
M A Ward,Ph.D. Thesis, Imperial College, London, England, (1985)
D G Pettifor,Phys. Scr. 11, 26 (1982)
J Lindhard,Kgl. Danske Mat. Fys. Medd. (Denmark)28, 8 (1954)
J Hafner and V Heine,J. Phys. F16, 1429 (1986)
J Friedel,Philos. Mag. 43, 153 (1952)
R A Johnson,Phys. Rev. B6, 2094 (1972)
M Finnis,J. Phys. F4, 1645 (1974)
A B Walker and R Taylor,J. Phys. F2, 9481 (1990);2, 9501 (1990)
M S Daw and M I Baskes,Phys. Rev. B29, 6443 (1984)
S M Foiles, M I Baskes and M S Daw,Phys. Rev. B33, 7983 (1986)
J K Norskov and N D Lang,Phys. Rev. B22, 2131 (1980)
K W Jacobsen, J K Norskov and M J Puska,Phys. Rev. B35, 7423 (1987)
M S Daw, inAtomistic simulation of materials: Beyond pair potentials Edited by V Vitek and D J Srolovitz (Plenum, New York, 1989) p. 181
M W Finnis and J E Sinclair,Philos. Mag. A50, 45 (1984)
G J Ackland, M W Finnis and V Vitek,J. Phys. F18, L153 (1988)
F Ercolessi, S Tosatti and M Parrinello,Phys. Rev. Lett. 57, 719 (1986)
M Born and K Huang,Dynamical theory of crystal lattices (Clarendon, Oxford, 1954)
H J P van Midden and A G B M Sasse,Phys. Rev. B46, 6020 (1992)
D C Wallace,Thermodynamics of Crystals (Wiley, New York, 1972)
J M Martin,J. Phys. C8, 2837 (1975);C8, 2858 (1975)
J M Wills and W A Harrison,Phys. Rev. B28, 4363 (1983)
W A Harrison,Phys. Rev. B28, 550 (1983)
U Walzer,Phys. Status Solidi B125, 55 (1984)
Per Soderlind, Olle Erikssen, J M Wills and A M Boring,Phys. Rev. B48, 5844 (1993)
Per Soderlind, Olle Eriksson, J M Wills and A M Boring,Phys. Rev. B48, 9306 (1993)
N Singh and B S Yadav,Physica B192, 205 (1993)
V Heine and I V Abarenkov,Philos. Mag. 9, 451 (1964)
N W Ashcroft,Phys. Lett. 23, 48 (1966)
S Ichimaru and K Utsumi,Phys. Rev. B24, 7385 (1981)
S H Taole and H R Glyde,Can. J. Phys. 57, 1870 (1979)
R Evans, inElectrons in disordered metals and metallic surfaces Edited by P Phariseau, B L Györffy and L Scheire (Plenum, New York, 1979)
D Pines,Elementary excitations in solids (Benjamin, Amsterdam, 1963)
N Singh and S P Singh,Phys. Rev. B42, 1652 (1990)
K Takanaka and R Yamamoto,Phys. Status. Solidi B84, 813 (1977)
W B Pearson,A Handbook of lattice spacings and structure of metals and alloys (Pergamon, New York, 1958)
C Kittel,Introduction to solid state physics, 5th ed. (Wiley, New York, 1976)
C R C Handbook of chemistry and physics Edited by R C Weast and M J Astle, 61st ed. (Chemical Rubber Company, Florida, 1980)
G Simmons and H Wang,Single crystal elastic constants and calculated aggregate properties: A Handbook (MIT, Press, Cambridge, 1971)
D I Bolef and J de Klerk,Phys. Rev. 129, 1063 (1963)
H B Huntigton, inSolid State Physics Edited by F Seitz and D Turnbull (Academic, New York, 1958) Vol. 7
C Stassis, C K Loong and J Zarestky,Phys. Rev. B26, 5426 (1982)
C Stassis, T Gould, O D Macmasters, K A Gschneider Jr and R M Nicklow,Phys. Rev. B19, 5746 (1979)
C Stassis, C K Loong, C Theisen and R M Nicklow,Phys. Rev. B26, 4106 (1982)
G D Barrera and A Batana,Phys. Rev. B47, 8588 (1993)
R F Wallis, A A Maradudin, V Bortolani, A G Equiluz, A A Quong, A Franchini and G Santoro,Phys. Rev. B48, 6043 (1993)
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Singh, N., Yadav, B.S. The elastic moduli, the volume contribution and the Cauchy ratio ford andf shell metals. Pramana - J. Phys. 42, 387–394 (1994). https://doi.org/10.1007/BF02847555
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DOI: https://doi.org/10.1007/BF02847555