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Using
the MD method, we demonstrate that intermolecular NMR (Nuclear Magnetic
Resonance) chemical shifts can be used to evaluate and develop
intermolecular potentials for cross-interactions. We examine the average
Xe chemical shifts in n-alkanes
over a range of temperatures using the OPLS- all atom force field for
the solvent molecules. Comparing the present results with earlier
results using non-realistic rigid model solvent molecules, we obtain
chemical shift contributions arising from flexibility of the solvent
molecules. Modification of parameters of the exponential-6 potential
model for solute-solvent interaction which leads to Xe chemical shifts
in better agreement with experimental values likewise leads to improved
estimates of Xe solubility. Since the average chemical shift converges
in a fraction of the steps necessary to obtain converged solubility,
testing of solute-solvent potentials against average chemical shift
values, prior to time-intensive calculations of solubility, leads to
more efficient development of potentials for mixtures. In the present
work the MD simulations reproduce the signs and relative magnitudes of
the Xe chemical shifts in n-alkanes, as well as the signs and relative magnitudes of their
temperature coefficients. A rational comparison of Xe chemical shifts in
different solvents can be made when the solvents are in the same
thermodynamic state. In an atomistic MD simulation the additive chemical
shift contributions arising from the CH3 and CH2
groups are obtained separately. We determine these constitutive
contributions to the Xe chemical shift for each temperature in each
solvent. We find the per-CH3 contributions are greater than
the per-CH2 contributions for each case. We investigate the
transferability of these contributions.
Xe-CH4
/CF4 Shielding Functions
Xe
chemical shift function in n-alkanes is expressed as:
Coefficients for site-site
isotropic chemical shift functions as defined in Equation.
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n
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6
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8
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10
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12
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14
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Xe-C(Hn)
cn(Å-n)
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-1.48211×105
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1.045×107
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-1.90132×108
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1.38433×109
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-3.45561×109
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Xe-H
hn(Å-n)
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8.58334×103
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6.55733×105
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1.42131×107
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-6.34747×107
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4.20088×107
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Typical chemical shift run:

Calculated chemical shift by using
different potential models:

Chemical shift temperature
dependence:

Henry's constant test:

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