1993
DOI: 10.1016/0009-2614(93)85122-5
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Computing nuclear magnetic resonance chemical shielding in large systems via multipole shielding polarizabilities

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Cited by 19 publications
(25 citation statements)
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References 31 publications
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“…These shielding polarizability tensor elements, when multiplied by the appropriate field, field gradient, or hypergradient terms (which can be readily calculated from the known charge distributions, at least in the H-F molecule), yield the electrical contributions to shielding. A comparison of the multipole shielding polarizability expansion truncated at the point of linear field, field gradient, and hypergradient terms was found to be in excellent accord with benchmark ab initio results, both for a dipole and for a point-charge perturbation (54). On this basis, we concluded that super-molecule, point charge, and low-order MSP expansions permitted the accurate determination of the electrical contributions to shielding in model systems and should therefore be applicable to proteins as well.…”
Section: Fluorine-19 Nmr and Electrostatic Field Effectssupporting
confidence: 67%
See 1 more Smart Citation
“…These shielding polarizability tensor elements, when multiplied by the appropriate field, field gradient, or hypergradient terms (which can be readily calculated from the known charge distributions, at least in the H-F molecule), yield the electrical contributions to shielding. A comparison of the multipole shielding polarizability expansion truncated at the point of linear field, field gradient, and hypergradient terms was found to be in excellent accord with benchmark ab initio results, both for a dipole and for a point-charge perturbation (54). On this basis, we concluded that super-molecule, point charge, and low-order MSP expansions permitted the accurate determination of the electrical contributions to shielding in model systems and should therefore be applicable to proteins as well.…”
Section: Fluorine-19 Nmr and Electrostatic Field Effectssupporting
confidence: 67%
“…We then used a second approach, which involved determining the multipole shielding polarizabilities (MSP) of fluorobenzene: how the tensor elements change with electrical polarization (54). Dykstra used derivative Hartree-Fock methods to calculate the MSP tensor elements for the 19 F nucleus in fluorobenzene with respect to a uniform field, a field gradient, and a field-hypergradient.…”
Section: Fluorine-19 Nmr and Electrostatic Field Effectsmentioning
confidence: 99%
“…The use of a uniform electric field hinges on the adequacy of truncating the Taylor series expansion of the chemical shift with respect to a nonuniform electric field at the first term. Previous work has shown that terms arising from the field gradient and the hypergradient are also significant . It should also be noted that the contribution from the field gradient is opposite in sign to that of the uniform field.…”
Section: Resultsmentioning
confidence: 93%
“…Hyperpolarizabilities (v 2 /vF 2 ) and mixed derivatives (v 2 /vF vV ) were also evaluated (Augspurger et al 1993b), but based on the results of model calculations, only theà andB tensors were found to be significant. The results of these 'multipole shielding polarizability' calculations on the fluorobenzene-HF clusters were found to agree with those obtained from supermolecule or CFP techniques (Augspurger et al 1993b;. What this means for proteins is that the electrostatic contributions to the 19 F NMR chemical shifts can be calculated by simply multiplying theà andB tensors by the electrostatic fields and field gradients in the protein.…”
Section: Fluorine Nmr Chemical Shifts and Electrostaticsmentioning
confidence: 99%
“…That is,à is the formal derivative of s with respect to a uniform field, whileB is the formal derivative of s with respect to the non-uniform field or field gradient components. Hyperpolarizabilities (v 2 /vF 2 ) and mixed derivatives (v 2 /vF vV ) were also evaluated (Augspurger et al 1993b), but based on the results of model calculations, only theà andB tensors were found to be significant. The results of these 'multipole shielding polarizability' calculations on the fluorobenzene-HF clusters were found to agree with those obtained from supermolecule or CFP techniques (Augspurger et al 1993b;.…”
Section: Fluorine Nmr Chemical Shifts and Electrostaticsmentioning
confidence: 99%