Avoiding singularity problems associated with meta-GGA (generalized gradient approximation) exchange and correlation functionals containing the kinetic energy density

被引:62
作者
Grafenstein, Jurgen
Izotov, Dmitry
Cremer, Dieter [1 ]
机构
[1] Univ Pacific, Dept Phys, Stockton, CA 95211 USA
[2] Univ Pacific, Dept Chem, Stockton, CA 95211 USA
[3] Univ Gothenburg, Dept Chem, S-41296 Gothenburg, Sweden
基金
美国国家科学基金会;
关键词
D O I
10.1063/1.2800011
中图分类号
O64 [物理化学(理论化学)、化学物理学];
学科分类号
070304 ; 081704 ;
摘要
Convergence problems of meta-GGA (generalized gradient approximation) XC (exchange and correlation) functionals containing a self-interaction correction term are traced back to a singularity of the latter that occurs at critical points of the electron density. This is demonstrated for the bond critical point of equilibrium and stretched H-2. A simple remedy is suggested that cures meta-XC functionals such as VSXC, TPSS, M05, M06, and their derivatives without extra cost.
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页数:6
相关论文
共 16 条
[1]   A PROPER ACCOUNT OF CORE-POLARIZATION WITH PSEUDOPOTENTIALS - SINGLE VALENCE-ELECTRON ALKALI COMPOUNDS [J].
FUENTEALBA, P ;
PREUSS, H ;
STOLL, H ;
VONSZENTPALY, L .
CHEMICAL PHYSICS LETTERS, 1982, 89 (05) :418-422
[2]   A STANDARD GRID FOR DENSITY-FUNCTIONAL CALCULATIONS [J].
GILL, PMW ;
JOHNSON, BG ;
POPLE, JA .
CHEMICAL PHYSICS LETTERS, 1993, 209 (5-6) :506-512
[3]   Efficient density-functional theory integrations by locally augmented radial grids [J].
Grafenstein, Juergen ;
Cremer, Dieter .
JOURNAL OF CHEMICAL PHYSICS, 2007, 127 (16)
[4]   INHOMOGENEOUS ELECTRON-GAS [J].
RAJAGOPAL, AK ;
CALLAWAY, J .
PHYSICAL REVIEW B, 1973, 7 (05) :1912-1919
[5]   SELF-CONSISTENT EQUATIONS INCLUDING EXCHANGE AND CORRELATION EFFECTS [J].
KOHN, W ;
SHAM, LJ .
PHYSICAL REVIEW, 1965, 140 (4A) :1133-&
[6]  
KRAKA E, 2007, COLOGNE07
[7]   SELF-CONSISTENT MOLECULAR-ORBITAL METHODS .20. BASIS SET FOR CORRELATED WAVE-FUNCTIONS [J].
KRISHNAN, R ;
BINKLEY, JS ;
SEEGER, R ;
POPLE, JA .
JOURNAL OF CHEMICAL PHYSICS, 1980, 72 (01) :650-654
[8]  
LEBEDEV VI, 1976, MAT MAT FIZ, V16, P294
[9]   QUADRATURE SCHEMES FOR INTEGRALS OF DENSITY FUNCTIONAL THEORY [J].
MURRAY, CW ;
HANDY, NC ;
LAMING, GJ .
MOLECULAR PHYSICS, 1993, 78 (04) :997-1014
[10]   Accurate density functional with correct formal properties: A step beyond the generalized gradient approximation (vol. 82, Pg. 2544, 1999) [J].
Perdew, JP ;
Kurth, S ;
Zupan, A ;
Blaha, P .
PHYSICAL REVIEW LETTERS, 1999, 82 (25) :5179-5179