Joy Y. Cheng, Daniel P. Sanders, et al.
SPIE Advanced Lithography 2008
A theory of magnetic instabilities which qualitatively explains the anomalous thermal properties of invar is presented. Fixed-spin-moment band calculations are used to show the existence of two-spin-states similar to Weiss's 2γ-state model. The two spin-states are connected by magnetic instabilities which are shown to occur near the equilibrium volume in the Fe-Ni invar alloy with approximately 8.6 valence electrons/atom. The consequences of lattice vibrations on the thermal occupation of the two states are examined and it is shown that the low temperature expansion is dominated by a high-spin state, while the high temperature expansion results from a composite occupation of a high-spin and a low-spin state. The initial negative thermal expansion is shown to result from an antiferromagnetic state. © 1989.
Joy Y. Cheng, Daniel P. Sanders, et al.
SPIE Advanced Lithography 2008
R.J. Gambino, N.R. Stemple, et al.
Journal of Physics and Chemistry of Solids
S.F. Fan, W.B. Yun, et al.
Proceedings of SPIE 1989
J. Tersoff
Applied Surface Science