Volume size factor and lattice parameter in cubic intermetallics with the L12 structure

Lattice parameter and volume changes on disordering

“…than the ratio of volumes in the elemental state, 1.52. As mentioned in Section 1, Bhatia et al [4] were able to correctly predict the lattice parameter of several L1 2 structures using realistic volumes of constituent atoms derived from solid solution data reported by King [3]. Therefore, we can conclude that the behavior shown by the Ni-Al system is not isolated, and is met with in a large number of systems.…”

“…King [3] calculated the effective atomic volume occupied by a solute in different solvents from reported values of lattice parameters of several substitutional solid solutions. Bhatia et al [4,5] used these values to predict the lattice parameters of binary and ternary L1 2 and B2 structures with reasonable accuracy. According to them, the effective atomic volume incorporates both the size and electron interaction effects and thus gives rise to realistic values of size of atoms in a specific environment.…”

Unit cell volume of intermetallic compounds calculated using volume size factors

“…The ability to Intermetallics 14 (2006) predict lattice parameter of multicomponent intermetallics is crucial when these intermetallics are present as secondphase precipitates often having a specific orientation relationship with the matrix. The lattice parameter of the intermetallic vis-a-vis that of the matrix then defines the coherence strains between the matrix and the precipitates which strongly influence the mechanical properties and stability of precipitates [2]. Also, the ability to extend the prediction of lattice parameter to ternary and quaternary systems is important since the number of systems for which data exists is limited.…”

“…From previously reported results for unit cell volume of L1 2 or B2 cubic intermetallics [2,3], the question emerged if a generalized expression to calculate unit cell volume of intermetallics with any crystalline structure could be derived. The validity of the hypothesis used to derive the general equation could be assessed from the obtained results.…”

“…In the case of cubic intermetallics with L1 2 or B2 crystalline structure, simple expressions have been derived to calculated lattice parameter [2,3] from unit cell volumes. Expressions for binary and ternary intermetallics compounds were derived.…”