scholarly journals Theory of Inhomogeneous Short Range Order and Calphad Modeling. Part 1. Basic Formalism

2018 ◽  
Author(s):  
Edward Kremer

Conceptual role of Short Range Order in Statistical Thermodynamics of liquidalloys is discussed. It is shown why the popular model theories used by Calphadfall short in bringing this phenomenon to full usage. In contrast to this, presentedhere in details Theory of Inhomogeneous Short Range Order takes Short RangeOrder as basic element of formalism. Combinatorial factor provided by theoryexpresses the Statistical Sum of entire system as weighted average over StatisticalSums of small groups of atoms conventionally selected in the alloy. Equations ofthe theory are explicitly resolved in a parametric form.The theory in its tetrahedron approximation is applied, as introductory example,for the presentation the thermodynamic data of multiple two-component systemsdescribed previously by other authors using Redlich-Kister’ polynomials.

2019 ◽  
Author(s):  
Edward Kremer

An improved combinatorial factor allows to reproduce the correct critical tem-peratures for the Ising lattices.As result, the accuracy of thermodynamic values calculated near the criticalpoint increases by the factor 2 - 3 for the most important lattice types.It is shown why one-particle (Bragg-Williams) and two-particle (Quasichemical)approximations cannot be adequately applied for description of important nuancesof interatomic interaction.The problem of negative entropy values manifested at low temperatures andtypical for model theories is discussed. It is being argued that this problem has tobe treated as exaggerated.


2019 ◽  
Vol 256 (8) ◽  
pp. 1900002 ◽  
Author(s):  
Jaehong Park ◽  
In Won Yeu ◽  
Gyuseung Han ◽  
Cheol Seong Hwang ◽  
Jung‐Hae Choi

2018 ◽  
Vol 35 (3) ◽  
pp. 504 ◽  
Author(s):  
M. Q. Liu ◽  
C. Y. Zhao ◽  
B. X. Wang ◽  
Xing Fang

2004 ◽  
Vol 12 (4) ◽  
pp. 693-707 ◽  
Author(s):  
G Robert ◽  
C Colinet ◽  
B Siberchicot ◽  
A Pasturel

2011 ◽  
Vol 112 (5) ◽  
pp. 848-859 ◽  
Author(s):  
O. I. Gorbatov ◽  
A. R. Kuznetsov ◽  
Yu. N. Gornostyrev ◽  
A. V. Ruban ◽  
N. V. Ershov ◽  
...  

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