TY - JOUR
T1 - From symmetry to entropy
T2 - Crystal entropy difference strongly affects early stage phase transformation
AU - Hu, C. H.
AU - Chen, Y. C.
AU - Yu, P. J.
AU - Fung, K. Y.
AU - Hsueh, Y. C.
AU - Liaw, P. K.
AU - Yeh, J. W.
AU - Hu, A.
PY - 2019/12
Y1 - 2019/12
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85077438046&partnerID=8YFLogxK
UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-85077438046&origin=recordpage
U2 - 10.1063/1.5114974
DO - 10.1063/1.5114974
M3 - 21_Publication in refereed journal
VL - 115
JO - Applied Physics Letters
JF - Applied Physics Letters
SN - 0003-6951
IS - 26
M1 - 264103
ER -