A thermodynamic lattice theory on melting curve and eutectic point of binary alloys. Application to fcc and bcc structure

Hùng, Nguyễn Văn; Tran, Dung Trung; Toan, Nguyen Cong; Kirchnner, Barbara

doi:10.2478/s11534-010-0065-1

Cited by 3 publications

(1 citation statement)

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“…Binary FCC and BCC alloys were treated using lattice dynamics in combination with the Lindemann rule by Hung et al, content-wise reproduced in ref . The lattice dynamical expression for the Debye–Waller factor W for a binary alloy with s atoms of type 1 (mass m 1 ) and p – s atoms of type 2 (mass m 2 ) in the high-temperature approximation T ≫ θ D , given for the reciprocal lattice vector q by eq was used. W = 1 2 ∑ q | q · u̅ q | 2 = 3 2 p false[ m 2 s + ( p − s ) m 1 false] ℏ 2 q 2 T m 1 m 2 k θ D 2 …”

Section: Molecular Inorganic Metallic and Polymeric Solidsmentioning

confidence: 99%

Melting Is Well-Known, but Is It Also Well-Understood?

de With

2023

Chem. Rev.

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Contrary to continuous phase transitions, where renormalization group theory provides a general framework, for discontinuous phase transitions such a framework seems to be absent. Although the thermodynamics of the latter type of transitions is wellknown and requires input from two phases, for melting a variety of one-phase theories and models based on solids has been proposed, as a generally accepted theory for liquids is (yet) missing. Each theory or model deals with a specific mechanism using typically one of the various defects (vacancies, interstitials, dislocations, interstitialcies) present in solids. Furthermore, recognizing that surfaces are often present, one distinguishes between mechanical or bulk melting and thermodynamic or surface-mediated melting. After providing the necessary preliminaries, we discuss both types of melting in relation to the various defects. Thereafter we deal with the effect of pressure on the melting process, followed by a discussion along the line of type of materials. Subsequently, some other aspects and approaches are dealt with. An attempt to put melting in perspective concludes this review.

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