Wj. Mccarthy et al., OUT-OF-PLANE VIBRATIONS OF NH2 IN 2-AMINOPYRIMIDINE AND FORMAMIDE, The Journal of chemical physics, 108(24), 1998, pp. 10116-10128
The out-of-plane vibrations of the amino group in primary amines invol
ve its inversion and rotation relative to the rest of the molecule. Th
ese two vibrations in 2-aminopyrimidine (see Fig. 1) were investigated
with the combined use of matrix-isolation IR spectroscopy and ab init
io quantum mechanical methodology. The ab initio methodology was also
applied to another primary amine, formamide, for which a gas-phase IR
spectra have been previously assigned. Ab initio potential energy surf
aces were calculated in internal coordinates, omega and tau, whose dis
placements mimicked the inversion and internal rotation normal-mode di
stortions of the amino group, respectively. Vibrations along these two
coordinates were considered uncoupled from all other nuclear motions.
Total energy was calculated at the second-order Moller-Plesset pertur
bation theory level at selected values of w and tau to allow a least-s
quares fitting of an analytical function depicting the potential energ
y curves and surface. A numerical procedure for determining the values
of the kinetic energy operator in internal coordinates was also imple
mented to which an analytical function was fit. Vibrational energy exp
ectation values were variationally determined by utilizing products of
Gaussian and sinusoidal functions as the basis set. The resultant cal
culated fundamental transition energies for the coupled inversion and
internal rotation vibrations of 2-aminopyrimidine are upsilon(inv) = 1
40.6 cm(-1) and upsilon(rot) = 440.3 cm(-1), respectively. These theor
etical values reasonably match the experimental quantities of upsilon
approximate to 200 cm(-1) and upsilon approximate to 500 cm(-1), and a
llow firm assignment of these two experimental infrared spectral bands
to the inversion and internal rotation vibrations of the amino group
in 2-aminopyrimidine, respectively. For formamide (see Fig. 2), the ca
lculated transition energies for the inversion and internal rotation v
ibrations, upsilon(inv) = 249 cm(-1) and nu(rot) = 602, match the expe
rimental frequencies of approximate to 289 cm(-1) and approximate to 6
02 cm(-1), and confirm the accuracy of the theoretical method. (C) 199
8 American Institute of Physics.