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Revisiting the extrapolation of correlation energies to complete basis set limit
Authors:Masaki Okoshi  Teruo Atsumi  Hiromi Nakai
Affiliation:1. Department of Chemistry and Biochemistry, School of Advanced Science and Engineering, Waseda University, Tokyo, Japan;2. Taiyo Yuden Co., Ltd., Gunma, Japan;3. Research Institute for Science and Engineering, Waseda University, Tokyo, Japan;4. CREST, Japan Science and Technology Agency, Saitama, Japan;5. ESICB, Kyoto University, Kyotodaigaku‐Katsura, Kyoto, Japan
Abstract:The extrapolation scheme of correlation energy is revisited to evaluate the complete basis set limit from double‐zeta (DZ) and triple‐zeta levels of calculations. The DZ level results are adjusted to the standard asymptotic behavior with respect to the cardinal number, observed at the higher levels of basis sets. Two types of adjusting schemes with effective scaling factors, which recover errors in extrapolations with the DZ level basis set, are examined. The first scheme scales the cardinal number for the DZ level energy, while the second scheme scales the prefactor of the extrapolation function. Systematic assessments on the Gaussian‐3X and Gaussian‐2 test sets reveal that these calibration schemes successfully and drastically reduce errors without additional computational efforts. © 2015 Wiley Periodicals, Inc.
Keywords:complete basis set limit  extrapolation technique  correlation‐consistent basis set  correlation energy  calibration
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