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Main / Catalog / Section09
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508. POAV2: Hybridization and the Orientation and
Alignment of p-Orbitals in Non- planar Conjugated
Organic Molecules (p-Orbital Axis Vector Analysis)
by R. C. Haddon, AT&T Bell Laboratories, Murray Hill,
New Jersey 07974
The concept of hybridization of atomic orbital basis
functions to produce spatially directed wave functions
with the orientation necessary for bond formation is
fundamental to the modern understanding of the
molecular and electronic structure of molecules. The
POAV theory has been developed to analyze a bonding
situation which has become increasingly important in
recent years, i.e., nonplanar conjugated organic
molecules, which are usually considered to possess
formal sp2 hybridization. It has been shown1,2 that,
with a single assumption, it is possible to obtain
analytical solutions for the hybridization in such
compounds which, in turn, leads directly to the
orientation of the p-orbital axis vectors (POAV) and
hence to a measure of p-orbital alignment and overlap
in distorted p-electron systems of known geometry. The
p-orbital axis vector (POAV) analysis provides a vivid
picture of the p-bonding in nonplanar conjugated
organic molecules and the manner in which the s-system
has rehybridized and adjusted to facilitate the
maintenance of favorable p-orbital overlap. The method
is nonparametric and merely requires the atomic
coordinates of the molecule or molecular fragment for
its implementation. The analysis is based on the s,p
hybrid orthogonality relationships and the geometry of
the s-skeleton. As such, the method provides the most
logical and natural bridge between the s-p separability
assumed in planar conjugated systems and the realities
of p-bonding in nonplanar situations. The analysis is
not recommended in circumstances in which the s-bond
angles are less than 100°, but, with this provision,
the method may be used with confidence (the technique
provides a lower bound to the p-orbital alignment
attained by most nonplanar conjugated organic
molecules).
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References:
1. POAV1: R. C. Haddon and L. T. Scott, Pure Appl.
Chem., 58, 137 (1986).
2. POAV2: R. C. Haddon, Chem. Phys. Lett. (1986); J.
Am. Chem. Soc. (1986).
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FORTRAN 77 (CRAY 1)
Lines of Code: 308
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