Equilibrium structures, harmonic vibrational frequencies, and relative ener
gies of 12 neutral or ionic gallium phosphorus hydrides are reported and an
alyzed. Hartree-Fock (HF), Becke's three-parameter exchange with Lee, Yang,
and Parr correlation DFT (B3LYP), and second-order Moller-Plesset (MP2) ca
lculations using the 6-311++G(d,p) basis set were performed on all molecule
s. Gallium-phosphorus bond energies were determined based on the MP2/6-311+G(d,p) calculations of the equilibrium structures and of their decompositi
on products. We find that the gallium-phosphorus double bond is, perhaps, s
urprisingly strong (i.e., 93 +/- 2 kcal/mol) and short (2.128 +/- 0.018 Ang
strom); CCSD(T)/6-311 ++G(3df,3dp) single-point calculations on HGaPH corro
borate the prediction of a strong double bond. Bond order analysis of some
of the neutral species revealed that these compounds satisfy a Pauling rela
tion between bond length and bond order, and also bond energy and bond orde
r. CASSCF(8\8) calculations on H2PGa show that the surprising weakness of t
he phosphorus-gallium bond in this compound can be understood in terms of a
n occupied antibonding a orbital. Comparisons of the B3LYP method to NF and
MP2 methods reveal that the B3LYP DFT method, in most cases, gives relativ
e energies and equilibrium structures in substantial agreement with the MP2
method for these types of compounds.