Hostname: page-component-8448b6f56d-mp689 Total loading time: 0 Render date: 2024-04-23T21:23:45.667Z Has data issue: false hasContentIssue false

First Principles Calculations of the Equilibrium Mechanical Properties of Simple Metals and Ordered Intermetallic Alloys

Published online by Cambridge University Press:  28 February 2011

Michael J. Mehl
Affiliation:
Complex Systems Theory Branch, Naval Research Laboratory, Washington DC 20375–5000
Jean E. Osburn
Affiliation:
Complex Systems Theory Branch, Naval Research Laboratory, Washington DC 20375–5000
Dimitri A Papaconstantopoulos
Affiliation:
Complex Systems Theory Branch, Naval Research Laboratory, Washington DC 20375–5000
Barry M. Klein
Affiliation:
Complex Systems Theory Branch, Naval Research Laboratory, Washington DC 20375–5000
Get access

Abstract

High-strength, light-weight intermetallic compounds which are ductile at high temperatures are of great technological interest. Purely experimental searches for improved intermetallic materials are time consuming and expensive. Theoretical studies can shorten the experimental work by focusing on candidate compounds which have several of the desired properties. Although current abinitio density functional calculations are not adequate to calculate material properties at high temperatures, it is possible to compute the equation of state and elastic moduli of ordered compounds with several atoms in a unit cell. Known correlations between equilibrium and high temperature properties can then be used to point the way for experiments.

We have demonstrated the power of this approach by applying the linearized augmented plane wave (LAPW) method to calculate the equation of state and elastic moduli for several simple metals (Al, Ca, and Ir), binary cubic intermetallics (SbY, AlCo, AlNi, AlRu, and RuZr), and binary L1o intermetallics (AlTi and IrNb). Most of the calculated equilibrium lattice constants are within 3% of the experimentally observed lattice constants. Although the available experimental information about the elastic moduli is limited by the lack of single crystal data for most of these materials, we are in excellent agreement (within 10%) with the available experimental data, except for the shear modulus of IrNb. We also use known correlations between the elastic moduli and the melting temperature to predict melting temperatures of the intermetallics. In general the agreement there is good agreement between theory and experiment, indicating that we can qualitatively predict melting temperatures.

Type
Research Article
Copyright
Copyright © Materials Research Society 1991

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1. Anderson, O.K., Phys. Rev. B 12, 3060, (1975).Google Scholar
2. Wei, S.-H. and Krakauer, H., Phys. Rev. Lett. 55, 1200, (1985).Google Scholar
3. Fine, M.E., Brown, L.D., and Marcus, H.L., Scr. Metall. 18, 951, (1984).Google Scholar
4. Mehl, M.J., Osburn, J.E., Papaconstantopoulos, D.A., and Klein, B.M., Phys. Rev. B 41, May 15, 1990 (in press).Google Scholar
5. Hedin, L. and Lundqvist, B.I., J. Phys. C 4, 2064, (1971).Google Scholar
6. Kohn, W. and Sham, L.J., Phys. Rev. 140, A1133 (1965); P. Hohenberg and W. Kohn, ibid., 136, B864 (1964).Google Scholar
7. Koelling, D.D. and Harmon, B.N., J. Phys. C 10, 2041, (1975).Google Scholar
8. Birch, F., J. Geophys. Res. 83, 1257, (1978).Google Scholar
9. Donohue, J., The Structures of the Elements, (Wiley, New York, 1974).Google Scholar
10. Pearson, W.B., A Handbook of Lattice Spacings and Structures of Metals and Alloys, (Pergamon, Oxford, 1967), Vol. 2.Google Scholar
11. Chubb, S.R., Papaconstantopoulos, D.A., and Klein, B.M., Phys. Rev. B 38, 12120, (1988).Google Scholar
12. Simmons, G. and Wang, H., Single Crystal Elastic Constants and Calculated Aggregate Properties: A Handbook, 2nd ed. (M.I.T. Press, Cambridge, Massachusetts, 1971).Google Scholar
13. Schreiber, E., Anderson, O.L., and Soga, N., Elastic Constants and Their Measurement, (McGraw-Hill, New York, 1973), p. 6.Google Scholar
14. Voigt, W., Lehrbuch der Kristallphysik, (Teubner, Lepizig, 1928).Google Scholar
15. Reuss, A., Z. Agnew. Math. Mech. 9, 49, (1929).Google Scholar
16. Fleischer, R.L., Gilmore, R.S., and Zabala, R.J., General Electric Materials Research Laboratory Report No. 88CRD310, 1988 (unpublished); R.L. Fleischer, J. Mater. Sci. 22, 2281 (1987); R.L. Fleischer (private communication).Google Scholar