An improvement of the resolution of the identity approximation for the formation of the Coulomb matrix

被引:952
作者
Neese, F [1 ]
机构
[1] Max Planck Inst Strahlenchem, D-45470 Mulheim, Germany
关键词
density functional theory; ab initio electronic structure theory; Coulomb interaction; RI approximation; Gaussian basis functions;
D O I
10.1002/jcc.10318
中图分类号
O6 [化学];
学科分类号
0703 ;
摘要
A straightforward modification of the resolution of the identity (RI) approximation to the Coulomb interaction is described. In the limit of basis sets that are dominated by high angular momentum functions the observed speedups in realistic test systems reach a factor of 2 compared to the standard RI algorithm, and a factor of up to 300 compared to the standard algorithm to form the Coulomb matrix. More moderate savings on the order of 0-20% are obtained for the more commonly used smaller basis sets. A series of test calculations is reported to illustrate the efficiency of the algorithm. (C) 2003 Wiley Periodicals, Inc.
引用
收藏
页码:1740 / 1747
页数:8
相关论文
共 66 条
[51]   Fast evaluation of the Coulomb potential for electron densities using multipole accelerated resolution of identity approximation [J].
Sierka, M ;
Hogekamp, A ;
Ahlrichs, R .
JOURNAL OF CHEMICAL PHYSICS, 2003, 118 (20) :9136-9148
[52]   Achieving linear scaling in exchange-correlation density functional quadratures [J].
Stratmann, RE ;
Scuseria, GE ;
Frisch, MJ .
CHEMICAL PHYSICS LETTERS, 1996, 257 (3-4) :213-223
[53]  
Termath V, 1997, INT J QUANTUM CHEM, V61, P349, DOI 10.1002/(SICI)1097-461X(1997)61:2<349::AID-QUA18>3.0.CO
[54]  
2-6
[55]   A KOHN-SHAM METHOD INVOLVING THE DIRECT DETERMINATION OF THE COULOMB POTENTIAL ON A NUMERICAL GRID [J].
TERMATH, V ;
HANDY, NC .
CHEMICAL PHYSICS LETTERS, 1994, 230 (1-2) :17-24
[56]   EFFICIENT MOLECULAR NUMERICAL-INTEGRATION SCHEMES [J].
TREUTLER, O ;
AHLRICHS, R .
JOURNAL OF CHEMICAL PHYSICS, 1995, 102 (01) :346-354
[57]   INTEGRAL APPROXIMATIONS FOR LCAO-SCF CALCULATIONS [J].
VAHTRAS, O ;
ALMLOF, J ;
FEYEREISEN, MW .
CHEMICAL PHYSICS LETTERS, 1993, 213 (5-6) :514-518
[58]   AN IMPLEMENTATION OF A KOHN-SHAM DENSITY-FUNCTIONAL PROGRAM USING A GAUSSIAN-TYPE BASIS-SET - APPLICATION TO THE EQUILIBRIUM GEOMETRY OF C-60 AND C-70 [J].
VANWULLEN, C .
CHEMICAL PHYSICS LETTERS, 1994, 219 (1-2) :8-14
[59]   Efficient use of the correlation consistent basis sets in resolution of the identity MP2 calculations [J].
Weigend, F ;
Köhn, A ;
Hättig, C .
JOURNAL OF CHEMICAL PHYSICS, 2002, 116 (08) :3175-3183
[60]   RI-MP2: optimized auxiliary basis sets and demonstration of efficiency [J].
Weigend, F ;
Haser, M ;
Patzelt, H ;
Ahlrichs, R .
CHEMICAL PHYSICS LETTERS, 1998, 294 (1-3) :143-152