From symmetry to entropy: Crystal entropy difference strongly affects early stage phase transformation

C. H. Hu; Y. C. Chen; P. J. Yu; K. Y. Fung; Y. C. Hsueh; P. K. Liaw; J. W. Yeh; A. Hu

doi:10.1063/1.5114974

Author(s)

C. H. Hu
K. Y. Fung
P. K. Liaw
J. W. Yeh

Related Research Unit(s)

Detail(s)

Original language	English
Article number	264103
Journal / Publication	Applied Physics Letters
Volume	115
Issue number	26
Online published	27 Dec 2019
Publication status	Published - Dec 2019

Link(s)

DOI	DOI https://doi.org/10.1063/1.5114974 Final Published version
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Attachment(s)	Documents 44891546.pdf Final Published version, 1.92 MB, PDF Publisher's Copyright Statement This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing. This article appeared in C. H. Hu, Y. C. Chen, P. J. Yu, K. Y. Fung, Y. C. Hsueh, P. K. Liaw, J. W. Yeh, and A. Hu , "From symmetry to entropy: Crystal entropy difference strongly affects early stage phase transformation", Appl. Phys. Lett. 115, 264103 (2019) and may be found at https://doi.org/10.1063/1.5114974.
Link to Scopus	https://www.scopus.com/record/display.uri?eid=2-s2.0-85077438046&origin=recordpage
Permanent Link	https://scholars.cityu.edu.hk/en/publications/publication(b329c306-b9db-4df2-beae-af883130c85f).html

Abstract

Although the connection between symmetry and entropy is not clear, researchers calculate configurational entropy with an ideal gas mixing model all along regardless of which structure they are considering. However, it is obvious that crystalline structures have symmetry, while an ideal gas does not. Therefore, the same ideal gas mixing value should not be assigned to other structures, such as face-centered-cubic (fcc) and hexagonal-close-packed (hcp) structures. Here, we offer a precise definition for determining the configurational entropy of crystals. We calculate the difference in configurational entropy between fcc and hcp structures based on Burnside's lemma in combinatorial mathematics and crystallographic rotation-point groups.