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Description
  • Quantum mechanical calculations, coupled with statistical thermodynamics, provide a means to obtain thermodynamic properties of ideal gas. In this work, we performed DFT and statistical thermodynamic calculations of ideal gas heat capacities and entropies for a set of 79 rigid molecules, which do not contain large amplitude motions, such as internal rotations or ring puckering, and for which reliable reference data were found in the literature. The effect of the size of basis sets and scale factors was systematically examined and statistically evaluated. The absolute average relative deviations of the heat capacities and entropies calculated using unscaled harmonic frequencies from reference values were less than 2.5 % for all the basis sets studied. Both heat capacities and entropies were, however, systematically underestimated and the deviations of heat capacities showed a significant temperature dependence with a maximum deviation near ambient temperatures. Scaling the calculated frequencies by a single value of scale factor from the literature led to slightly more accurate results but the relative deviations remained biased (values were systematically overestimated) and significantly temperature dependent. We propose a new wavenumber and bond dependent set of scale factors that significantly improves the agreement between the theory and reference data and provides an unbiased distribution of the relative deviations and a temperature dependence of the ideal heat capacities which is closer to the reference data.
  • Quantum mechanical calculations, coupled with statistical thermodynamics, provide a means to obtain thermodynamic properties of ideal gas. In this work, we performed DFT and statistical thermodynamic calculations of ideal gas heat capacities and entropies for a set of 79 rigid molecules, which do not contain large amplitude motions, such as internal rotations or ring puckering, and for which reliable reference data were found in the literature. The effect of the size of basis sets and scale factors was systematically examined and statistically evaluated. The absolute average relative deviations of the heat capacities and entropies calculated using unscaled harmonic frequencies from reference values were less than 2.5 % for all the basis sets studied. Both heat capacities and entropies were, however, systematically underestimated and the deviations of heat capacities showed a significant temperature dependence with a maximum deviation near ambient temperatures. Scaling the calculated frequencies by a single value of scale factor from the literature led to slightly more accurate results but the relative deviations remained biased (values were systematically overestimated) and significantly temperature dependent. We propose a new wavenumber and bond dependent set of scale factors that significantly improves the agreement between the theory and reference data and provides an unbiased distribution of the relative deviations and a temperature dependence of the ideal heat capacities which is closer to the reference data. (en)
Title
  • Evaluation of accuracy of ideal-gas heat capacity and entropy calculations by DFT for rigid molecules
  • Evaluation of accuracy of ideal-gas heat capacity and entropy calculations by DFT for rigid molecules (en)
skos:prefLabel
  • Evaluation of accuracy of ideal-gas heat capacity and entropy calculations by DFT for rigid molecules
  • Evaluation of accuracy of ideal-gas heat capacity and entropy calculations by DFT for rigid molecules (en)
skos:notation
  • RIV/60461373:22340/12:43870060!RIV13-GA0-22340___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA203/09/1327), P(ME10049)
http://linked.open...iv/cisloPeriodika
  • 1
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
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  • 135051
http://linked.open...ai/riv/idVysledku
  • RIV/60461373:22340/12:43870060
http://linked.open...riv/jazykVysledku
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  • rigid mocules; heat capacity; entropy; DFT (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [1B1581E47B53]
http://linked.open...i/riv/nazevZdroje
  • Journal of Chemical Engineering Data
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
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http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 57
http://linked.open...iv/tvurceVysledku
  • Růžička, Květoslav
  • Fulem, Michal
  • Červinka, Ctirad
http://linked.open...ain/vavai/riv/wos
  • 000298978900035
issn
  • 0021-9568
number of pages
http://bibframe.org/vocab/doi
  • 10.1021/je201095b
http://localhost/t...ganizacniJednotka
  • 22340
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