TY - JOUR
T1 - Application of the scaling properties of the correlation energy functional to local and gradient-dependent forms
AU - Pino, Ramiro
N1 - Copyright:
Copyright 2017 Elsevier B.V., All rights reserved.
PY - 2000/5/26
Y1 - 2000/5/26
N2 - The uniform and non-uniform scaling properties of the exact correlation energy functional are applied in the study of rational, polynomial, logarithmic and exponential local and gradient-dependent forms of the correlation energy functional, which depend separably on the density and on the reduced variable of the gradient of the density. No local or gradient-dependent polynomial, rational, logarithmic, and exponential form can satisfy all the properties at the same time for the high- or low-density limits. A slight violation of some of the conditions may lead to simple approximate expressions for the correlation energy functional.
AB - The uniform and non-uniform scaling properties of the exact correlation energy functional are applied in the study of rational, polynomial, logarithmic and exponential local and gradient-dependent forms of the correlation energy functional, which depend separably on the density and on the reduced variable of the gradient of the density. No local or gradient-dependent polynomial, rational, logarithmic, and exponential form can satisfy all the properties at the same time for the high- or low-density limits. A slight violation of some of the conditions may lead to simple approximate expressions for the correlation energy functional.
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U2 - 10.1016/S0009-2614(00)00476-0
DO - 10.1016/S0009-2614(00)00476-0
M3 - Article
AN - SCOPUS:0041730674
VL - 322
SP - 371
EP - 376
JO - Chemical Physics Letters
JF - Chemical Physics Letters
SN - 0009-2614
IS - 5
ER -