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129Xe NMR chemical shift in Xe@C60 calculated at experimental conditions: Essential role of the relativity, dynamics, and explicit solvent

Authors

  • Stanislav Standara,

    1. Institute of Organic Chemistry and Biochemistry, Academy of Sciences of the Czech Republic, Czech Republic
    2. Faculty of Science, National Center for Biomolecular Research, Masaryk University, Brno, Czech Republic
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  • Petr Kulhánek,

    1. CEITEC—Central European Institute of Technology, Masaryk University, Brno, Czech Republic
    2. Faculty of Science, National Center for Biomolecular Research, Masaryk University, Brno, Czech Republic
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  • Radek Marek,

    1. CEITEC—Central European Institute of Technology, Masaryk University, Brno, Czech Republic
    2. Faculty of Science, National Center for Biomolecular Research, Masaryk University, Brno, Czech Republic
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  • Michal Straka

    Corresponding author
    1. Institute of Organic Chemistry and Biochemistry, Academy of Sciences of the Czech Republic, Czech Republic
    2. CEITEC—Central European Institute of Technology, Masaryk University, Brno, Czech Republic
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Abstract

The isotropic 129Xe nuclear magnetic resonance (NMR) chemical shift (CS) in Xe@C60 dissolved in liquid benzene was calculated by piecewise approximation to faithfully simulate the experimental conditions and to evaluate the role of different physical factors influencing the 129Xe NMR CS. The 129Xe shielding constant was obtained by averaging the 129Xe nuclear magnetic shieldings calculated for snapshots obtained from the molecular dynamics trajectory of the Xe@C60 system embedded in a periodic box of benzene molecules. Relativistic corrections were added at the Breit–Pauli perturbation theory (BPPT) level, included the solvent, and were dynamically averaged. It is demonstrated that the contribution of internal dynamics of the Xe@C60 system represents about 8% of the total nonrelativistic NMR CS, whereas the effects of dynamical solvent add another 8%. The dynamically averaged relativistic effects contribute by 9% to the total calculated 129Xe NMR CS. The final theoretical value of 172.7 ppm corresponds well to the experimental 129Xe CS of 179.2 ppm and lies within the estimated errors of the model. The presented computational protocol serves as a prototype for calculations of 129Xe NMR parameters in different Xe atom guest–host systems. © 2013 Wiley Periodicals, Inc.

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