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Calibration sets and the accuracy of vibrational scaling factors: A case study with the X3LYP hybrid functional

Title
Calibration sets and the accuracy of vibrational scaling factors: A case study with the X3LYP hybrid functional
Type
Article in International Scientific Journal
Year
2010
Authors
Filipe Teixeira
(Author)
Other
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Andre Melo
(Author)
FCUP
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Natalia N D S Cordeiro
(Author)
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Journal
Vol. 133
Final page: 114109
ISSN: 0021-9606
Scientific classification
FOS: Natural sciences > Physical sciences
Other information
Authenticus ID: P-003-2SX
Abstract (EN): A linear least-squares methodology was used to determine the vibrational scaling factors for the X3LYP density functional. Uncertainties for these scaling factors were calculated according to the method devised by Irikura [J. Phys. Chem. A 109, 8430 (2005)]. The calibration set was systematically partitioned according to several of its descriptors and the scaling factors for X3LYP were recalculated for each subset. The results show that the scaling factors are only significant up to the second digit, irrespective of the calibration set used. Furthermore, multivariate statistical analysis allowed us to conclude that the scaling factors and the associated uncertainties are independent of the size of the calibration set and strongly suggest the practical impossibility of obtaining vibrational scaling factors with more than two significant digits. (c) 2010 American Institute of Physics. [doi:10.1063/1.3493630]
Language: English
Type (Professor's evaluation): Scientific
No. of pages: 7
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