Semi-empirical refinements of crystal structures using 17O quadrupolar-coupling tensors

Sean T. Holmes, Robbie J. Iuliucci, Karl Todd Mueller, Cecil Dybowski

Research output: Contribution to journalReview article

7 Citations (Scopus)

Abstract

We demonstrate a modification of Grimme’s two-parameter empirical dispersion force field (referred to as the PW91-D2* method), in which the damping function has been optimized to yield geometries that result in predictions of the principal values of 17O quadrupolar-coupling tensors that are systematically in close agreement with experiment. The predictions of 17O quadrupolar-coupling tensors using PW91-D2*-refined structures yield a root-mean-square deviation (RMSD) (0.28 MHz) for twenty-two crystalline systems that is smaller than the RMSD for predictions based on X-ray diffraction structures (0.58 MHz) or on structures refined with PW91 (0.53 MHz). In addition, 13C, 15N, and 17O chemical-shift tensors and 35Cl quadrupolar-coupling tensors determined with PW91-D2*-refined structures are compared to the experiment. Errors in the prediction of chemical-shift tensors and quadrupolar-coupling tensors are, in these cases, substantially lowered, as compared to predictions based on PW91-refined structures. With this PW91-D2*-based method, analysis of 42 17O chemical-shift-tensor principal components gives a RMSD of only 18.3 ppm, whereas calculations on unrefined X-ray structures give a RMSD of 39.6 ppm and calculations of PW91-refined structures give an RMSD of 24.3 ppm. A similar analysis of 35Cl quadrupolar-coupling tensor principal components gives a RMSD of 1.45 MHz for the unrefined X-ray structures, 1.62 MHz for PW91-refined structures, and 0.59 MHz for the PW91-D2*-refined structures.

Original languageEnglish (US)
Article number064201
JournalJournal of Chemical Physics
Volume146
Issue number6
DOIs
StatePublished - Feb 14 2017

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Tensors
Crystal structure
tensors
crystal structure
deviation
Chemical shift
chemical equilibrium
predictions
X rays
x rays
field theory (physics)
Damping
damping
Experiments
Crystalline materials
X ray diffraction
Geometry
geometry
diffraction

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)
  • Physical and Theoretical Chemistry

Cite this

Holmes, Sean T. ; Iuliucci, Robbie J. ; Mueller, Karl Todd ; Dybowski, Cecil. / Semi-empirical refinements of crystal structures using 17O quadrupolar-coupling tensors. In: Journal of Chemical Physics. 2017 ; Vol. 146, No. 6.
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abstract = "We demonstrate a modification of Grimme’s two-parameter empirical dispersion force field (referred to as the PW91-D2* method), in which the damping function has been optimized to yield geometries that result in predictions of the principal values of 17O quadrupolar-coupling tensors that are systematically in close agreement with experiment. The predictions of 17O quadrupolar-coupling tensors using PW91-D2*-refined structures yield a root-mean-square deviation (RMSD) (0.28 MHz) for twenty-two crystalline systems that is smaller than the RMSD for predictions based on X-ray diffraction structures (0.58 MHz) or on structures refined with PW91 (0.53 MHz). In addition, 13C, 15N, and 17O chemical-shift tensors and 35Cl quadrupolar-coupling tensors determined with PW91-D2*-refined structures are compared to the experiment. Errors in the prediction of chemical-shift tensors and quadrupolar-coupling tensors are, in these cases, substantially lowered, as compared to predictions based on PW91-refined structures. With this PW91-D2*-based method, analysis of 42 17O chemical-shift-tensor principal components gives a RMSD of only 18.3 ppm, whereas calculations on unrefined X-ray structures give a RMSD of 39.6 ppm and calculations of PW91-refined structures give an RMSD of 24.3 ppm. A similar analysis of 35Cl quadrupolar-coupling tensor principal components gives a RMSD of 1.45 MHz for the unrefined X-ray structures, 1.62 MHz for PW91-refined structures, and 0.59 MHz for the PW91-D2*-refined structures.",
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Semi-empirical refinements of crystal structures using 17O quadrupolar-coupling tensors. / Holmes, Sean T.; Iuliucci, Robbie J.; Mueller, Karl Todd; Dybowski, Cecil.

In: Journal of Chemical Physics, Vol. 146, No. 6, 064201, 14.02.2017.

Research output: Contribution to journalReview article

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T1 - Semi-empirical refinements of crystal structures using 17O quadrupolar-coupling tensors

AU - Holmes, Sean T.

AU - Iuliucci, Robbie J.

AU - Mueller, Karl Todd

AU - Dybowski, Cecil

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N2 - We demonstrate a modification of Grimme’s two-parameter empirical dispersion force field (referred to as the PW91-D2* method), in which the damping function has been optimized to yield geometries that result in predictions of the principal values of 17O quadrupolar-coupling tensors that are systematically in close agreement with experiment. The predictions of 17O quadrupolar-coupling tensors using PW91-D2*-refined structures yield a root-mean-square deviation (RMSD) (0.28 MHz) for twenty-two crystalline systems that is smaller than the RMSD for predictions based on X-ray diffraction structures (0.58 MHz) or on structures refined with PW91 (0.53 MHz). In addition, 13C, 15N, and 17O chemical-shift tensors and 35Cl quadrupolar-coupling tensors determined with PW91-D2*-refined structures are compared to the experiment. Errors in the prediction of chemical-shift tensors and quadrupolar-coupling tensors are, in these cases, substantially lowered, as compared to predictions based on PW91-refined structures. With this PW91-D2*-based method, analysis of 42 17O chemical-shift-tensor principal components gives a RMSD of only 18.3 ppm, whereas calculations on unrefined X-ray structures give a RMSD of 39.6 ppm and calculations of PW91-refined structures give an RMSD of 24.3 ppm. A similar analysis of 35Cl quadrupolar-coupling tensor principal components gives a RMSD of 1.45 MHz for the unrefined X-ray structures, 1.62 MHz for PW91-refined structures, and 0.59 MHz for the PW91-D2*-refined structures.

AB - We demonstrate a modification of Grimme’s two-parameter empirical dispersion force field (referred to as the PW91-D2* method), in which the damping function has been optimized to yield geometries that result in predictions of the principal values of 17O quadrupolar-coupling tensors that are systematically in close agreement with experiment. The predictions of 17O quadrupolar-coupling tensors using PW91-D2*-refined structures yield a root-mean-square deviation (RMSD) (0.28 MHz) for twenty-two crystalline systems that is smaller than the RMSD for predictions based on X-ray diffraction structures (0.58 MHz) or on structures refined with PW91 (0.53 MHz). In addition, 13C, 15N, and 17O chemical-shift tensors and 35Cl quadrupolar-coupling tensors determined with PW91-D2*-refined structures are compared to the experiment. Errors in the prediction of chemical-shift tensors and quadrupolar-coupling tensors are, in these cases, substantially lowered, as compared to predictions based on PW91-refined structures. With this PW91-D2*-based method, analysis of 42 17O chemical-shift-tensor principal components gives a RMSD of only 18.3 ppm, whereas calculations on unrefined X-ray structures give a RMSD of 39.6 ppm and calculations of PW91-refined structures give an RMSD of 24.3 ppm. A similar analysis of 35Cl quadrupolar-coupling tensor principal components gives a RMSD of 1.45 MHz for the unrefined X-ray structures, 1.62 MHz for PW91-refined structures, and 0.59 MHz for the PW91-D2*-refined structures.

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