Unbiased auxiliary basis sets for accurate two-electron integral approximations

被引:311
作者
Aquilante, Francesco [1 ]
Lindh, Roland [1 ]
Pedersen, Thomas Bondo [1 ]
机构
[1] Lund Univ, Ctr Chem, Dept Theoret Chem, S-22100 Lund, Sweden
关键词
D O I
10.1063/1.2777146
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
We propose Cholesky decomposition (CD) of the atomic two-electron integral matrix as a robust and general technique for generating auxiliary basis sets for the density fitting approximation. The atomic CD (aCD) auxiliary basis set is calculated on the fly and is not biased toward a particular quantum chemical method. Moreover, the accuracy of the aCD basis set can be controlled with a single parameter. (c) 2007 American Institute of Physics.
引用
收藏
页数:7
相关论文
共 47 条
[1]   Fast noniterative orbital localization for large molecules [J].
Aquilante, Francesco ;
Pedersen, Thomas Bondo ;
Sanchez de Meras, Alfredo ;
Koch, Henrik .
JOURNAL OF CHEMICAL PHYSICS, 2006, 125 (17)
[2]  
Baker J, 1996, J COMPUT CHEM, V17, P888, DOI 10.1002/(SICI)1096-987X(199605)17:7<888::AID-JCC12>3.0.CO
[3]  
2-7
[4]   DENSITY-FUNCTIONAL THERMOCHEMISTRY .3. THE ROLE OF EXACT EXCHANGE [J].
BECKE, AD .
JOURNAL OF CHEMICAL PHYSICS, 1993, 98 (07) :5648-5652
[5]   DENSITY-FUNCTIONAL EXCHANGE-ENERGY APPROXIMATION WITH CORRECT ASYMPTOTIC-BEHAVIOR [J].
BECKE, AD .
PHYSICAL REVIEW A, 1988, 38 (06) :3098-3100
[6]   Simplifications in the Generation and Transformation of Two-Electron Integrals in Molecular Calculations [J].
Beebe, Nelson H. F. ;
Linderberg, Jan .
INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY, 1977, 12 (04) :683-705
[7]   Fitting basis sets for the RI-MP2 approximate second-order many-body perturbation theory method [J].
Bernholdt, DE ;
Harrison, RJ .
JOURNAL OF CHEMICAL PHYSICS, 1998, 109 (05) :1593-1600
[8]   Polarizabilities of small annulenes from Cholesky CC2 linear response theory [J].
Cuesta, IG ;
Pedersen, TB ;
Koch, H ;
de Merás, AMKS .
CHEMICAL PHYSICS LETTERS, 2004, 390 (1-3) :170-175
[9]   An efficient implementation of second analytical derivatives for density functional methods [J].
Deglmann, P ;
Furche, F ;
Ahlrichs, R .
CHEMICAL PHYSICS LETTERS, 2002, 362 (5-6) :511-518
[10]   Nuclear second analytical derivative calculations using auxiliary basis set expansions [J].
Deglmann, P ;
May, K ;
Furche, F ;
Ahlrichs, R .
CHEMICAL PHYSICS LETTERS, 2004, 384 (1-3) :103-107