Experimentally and theoretically (ab initio) determined
CC spin−spin coupling tensors and 1H and
13C nuclear shielding tensors are reported for ethane
(13C2H6), ethene
(13C2H4), and ethyne
(13C2H2). The
experimental anisotropies of the CC coupling tensors,
ΔJ
CC, for all these molecules, and also the
combination
J
CC,
xx
−
J
CC,
yy
for ethene, were
derived from sets of anisotropic couplings
(D
exp) analyzed from the 1H and
13C
NMR spectra of molecules partially oriented in liquid−crystalline
environments. Both harmonic vibrations
and structural deformations arising from the correlation of vibrational
and reorientational motions were taken
into account in the D couplings. The ab
initio calculations of all the J tensors were performed
using MCSCF
linear response theory. The best calculated and experimental
ΔJ
CC values (along with
J
CC,
xx
−
J
CC,
yy
for
ethene) are found to be in good mutual agreement. Together with
earlier work on the
n
J
CC
tensors in benzene,
this study shows that the indirect contribution,
1/2
J
CC
aniso,
to experimental couplings between differently
hybridized carbons is small and can generally be omitted. This
means that the use of experimental D
CC
couplings
in the determination of molecular order tensors and/or conformation
does not introduce serious errors. The
experimental determination of the 1H and 13C
shielding tensors was based on the liquid crystal director
rotation
by 90° in mixtures of thermotropic nematogens with opposite
anisotropy of diamagnetic susceptibility. Ab
initio SCF and MCSCF calculations utilizing gauge-including atomic
orbitals produce results in good agreement
with experiments.
This study reports experimentally and theoretically (ab
initio) determined indirect CC spin−spin coupling
tensors
n
J
CC in benzene.
The CC spin−spin coupling constants
n
J
CC between the
ortho, meta, and para (n = 1,
2,
and 3) positioned carbons were experimentally determined in two ways:
firstly by utilizing the 2H/1H isotope
effect
on the carbon shieldings in neat monodeuteriobenzene and recording the
13C satellite spectrum in a
1H-decoupled
13C NMR spectrum, and secondly by recording the
13C NMR spectrum of fully 13C-enriched benzene
(13C6H6) and
carrying out its complete analysis. The anisotropies of the
corresponding coupling tensors,
Δ
n
J
CC, were
resolved
experimentally by liquid crystal 1H and 13C NMR
using dipolar couplings corrected for both harmonic
vibrations
and deformations. The results obtained in three thermotropic
liquid crystal solvents are in good mutual agreement,
indicating the reliability of the determinations. The anisotropy
of the ortho, meta, and para CC indirect
couplings
are ca. +17, −4, and +9 Hz, respectively. Also, the signs of
the coupling constants are unambiguously determined.
The ab initio calculations were performed using
multiconfiguration self-consistent field linear response theory
with
both single-reference and multireference wave functions. The
results confirm the signs of the experimental anisotropies
in all cases. The magnitude of the ortho coupling
anisotropy is excellently reproduced, but the anisotropies
are
somewhat overestimated in the two other theoretical coupling tensors.
The importance of the different physical
contributions to the couplings and anisotropies is
discussed.
The tensors corresponding to the second-rank NMR observables,
nuclear shielding, quadrupole coupling, and
spin−spin coupling of formamide (HCONH2, FA) were
determined using several first principles quantum
chemical methods. The changes induced on the shielding and
quadrupole coupling tensors by intermolecular
hydrogen bonding were examined computationally. Liquid crystal NMR
experiments were performed for
dissolved FA in the SDS and CTAB lyotropic mesophases and their
isotropic phases and in the gas phase.
We report experimental data on shielding, quadrupole coupling, and
spin−spin coupling constants. The
convergence of the calculations with the basis set completeness and the
treatment of electron correlation
were investigated. The calculated and experimental data on the
anisotropic properties of the C, N, and O
shielding tensors are found to be in good agreement, given the large
error limits of the latter caused by the
low degree of order of FA in these systems. The medium effects on
the observables are found to be readily
understood by comparison of structurally relaxed FA monomer and chain
trimer calculations. The calculated
spin−spin coupling constants are in good agreement with the
experimental ones. The anisotropic properties
of the corresponding tensors are calculated to be small enough to
prevent experimental detection and not to
disturb structure determinations by using experimental dipolar
couplings. The principal components and the
orientation of the principal axis systems of each of the NMR tensors
are specified.
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