Density-functional chemical shielding calculations are reported
for the alanine dipeptide with a variety of
backbone torsion angles and for methane and
N-methylacetamide complexes with rare gases, monatomic ions,
water,
and other amides. These fragment systems model electrostatic,
nonbonded, and hydrogen bonding interactions in
proteins and have been investigated at a variety of geometries.
The results are compared to empirical formulas that
relate intermolecular shielding effects to peptide group magnetic
anisotropies, electrostatic polarization of the C−H
and N−H bonds, magnetic contributions from C−C and C−H bonds, and
close contact effects. Close contacts are
found to deshield protons involved in close nonbonded contacts that
typically occur in hydrogen bonds. “Lone pair”
charges improve the model for electrostatic effects and are important
for understanding the angular dependence of
shifts for protons involved in hydrogen bonds. C−C and C−H
bond anisotropy contributions help to explain the
torsional dependence of amide proton shifts in alanine dipeptide.
Good agreement is found between the empirical
formulas and the quantum chemistry results, allowing a reassessment of
empirical formulas that are used in the
analysis of chemical shift dispersion in proteins.