Performance of Density Functionals with Small Split Valence Basis Sets†

2004 ◽  
Vol 108 (15) ◽  
pp. 2904-2911 ◽  
Author(s):  
Edward N. Brothers ◽  
Kenneth M. Merz

1982 ◽  
Vol 13 (51) ◽  
Author(s):  
W. J. PIETRO ◽  
M. M. FRANCL ◽  
W. J. HEHRE ◽  
D. J. DEFREES ◽  
J. A. POPLE ◽  
...  




1982 ◽  
Vol 13 (34) ◽  
Author(s):  
M. S. GORDON ◽  
J. S. BINKLEY ◽  
J. A. POPLE ◽  
W. J. PIETRO ◽  
W. J. HEHRE


2021 ◽  
Author(s):  
Dmitrij Rappoport

Property-optimized Gaussian basis sets of split-valence, triple-zeta and quadruple-zeta valence quality are developed for the lanthanides Ce–Lu for use with small-core relativistic effective core potentials. They are constructed in a systematic fashion by augmenting def2 orbital basis sets with diffuse basis functions and minimizing negative static isotropic polarizabilities of lanthanide atoms with respect to basis set exponents within the unrestricted Hartree–Fock method. The basis set quality is assessed using a test set of 70 molecules containing the lanthanides in their common oxidation states and f electron occupations. 5d orbital occupation turns out to be the determining factor for the basis set convergence of polarizabilities in lanthanide atoms and the molecular test set. Therefore, two series of property-optimized basis sets are defined. The augmented def2-SVPD, def2-TZVPPD, and def2-QZVPPD basis sets balance the accuracy of polarizabilities across lanthanide oxidation states. The relative errors in atomic and molecular polarizability calculations are ≤8% for augmented split-valence basis sets, ≤2.5% for augmented triple-zeta valence basis sets, and ≤1% for augmented quadruple-zeta valence basis sets. In addition, extended def2-TZVPPDD and def2-QZVPPDD are provided for accurate calculations of lanthanide atoms and neutral clusters. The property-optimized basis sets developed in this work are shown to accurately reproduce electronic absorption spectra of a series of LnCp'3- complexes (Cp' = C5H4SiMe3, Ln = Ce–Nd, Sm) with time-dependent density functional theory.



1982 ◽  
Vol 104 (10) ◽  
pp. 2797-2803 ◽  
Author(s):  
Mark S. Gordon ◽  
J. Stephen Binkley ◽  
John A. Pople ◽  
William J. Pietro ◽  
Warren J. Hehre


1988 ◽  
Vol 166 ◽  
pp. 481-486 ◽  
Author(s):  
E. Sedano ◽  
J.M. Ugalde ◽  
F.P. Cossío ◽  
C. Palomo


2003 ◽  
Vol 58 (7-8) ◽  
pp. 475-480 ◽  
Author(s):  
Valentin P. Feshin ◽  
Dmitry B. Shlyapnikov

Ab initio calculations of bromo-containing molecules on the RHF, B3LYP and MP2 levels and 6−31G(d), 6−31+G(d), 6−311G(d) and 6311+G(d) basis sets were executed. They were used to estimate the 79Br NQR frequencies of these molecules. A satisfactory agreement between experimental and estimated NQR frequencies is obtained for the sum of populations of 13p- and 14p-components of the Br atom valence p-orbitals obtained from the RHF, B3LYP and MP2 calculations (particularly from RHF calculations) with the split valence basis sets 6−311G(d) and 6−311+G(d). The agreement between the experimental and estimated NQR frequencies is worse for the populations of the 9p-components of the Br atom valence p-orbitals obtained from these calculations with the basis sets 6−31G(d) and 6−31+G(d). An analogous conformity was not obtained using the populations of other components of the Br atom valence p-orbitals or their total populations obtained from all above-mentioned calculations.





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