On Coherency-Induced Ordering in Substitutional Alloys: I. Analytical
| dc.creator | Lee, Dean J. | |
| dc.creator | Lee, Jong K. | |
| dc.date | 1999-11-17 | |
| dc.date | 1999-11-23 | |
| dc.date.accessioned | 2026-07-07T03:15:10Z | |
| dc.date.available | 2026-07-07T03:15:10Z | |
| dc.description | As pointed out by Linus Pauling in his classic work on the relationship between crystal packing and ionic radius ratio, a difference in atomic size can be accommodated more readily by an ordered structure than by a disordered one. Because of mathematical complexity, however, very few works have been reported for substitutional alloys. In this work, coherency-induced ordering in substitutional alloys is examined through a simple model based on a two-dimensional square lattice. Within the assumption of nearest neighbor interactions on a square lattice, both modified Bragg-Williams and Onsager approaches show that coherency strain arising due to atomic mismatch can exert profound effects on order-disorder transitions in substitutional alloys. If the alloy system is elastically homogeneous and Vegard's law is obeyed, the order-disorder transition is of a second-order kinetics. If the atomic mismatches significantly deviate from Vegard's law, however, the transition may become a first-order kinetics, as the configurational free energy surface is composed of double wells. At the transition of a first-order kinetics, the lattice parameter can either increase or decrease upon heating, i.e., the lattice parameter of an ordered state can be less or greater than that of a disordered state. The results of Onsager's approach are independently confirmed with those of the Discrete Atom Method, a Monte Carlo technique predicated upon the combination of statistical mechanics and linear elasticity. | |
| dc.description | 18 pages, PDF | |
| dc.identifier | https://arxiv.org/abs/cond-mat/9911267 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/9911267 | |
| dc.identifier | Acta Materialia, volume 48, pp. 3847-3855, 2000 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/29935 | |
| dc.subject | Materials Science | |
| dc.title | On Coherency-Induced Ordering in Substitutional Alloys: I. Analytical | |
| dc.type | text |