THEORETICAL-STUDIES ON THE STRUCTURE, STABILITY, ABILITY TO UNDERGO INTERNAL TRANSFORMATIONS, AND TAUTOMERIZATION, AS WELL AS REACTIVITY, OF H2PPH2 AND HPPH3 MOLECULES
J. Rak et al., THEORETICAL-STUDIES ON THE STRUCTURE, STABILITY, ABILITY TO UNDERGO INTERNAL TRANSFORMATIONS, AND TAUTOMERIZATION, AS WELL AS REACTIVITY, OF H2PPH2 AND HPPH3 MOLECULES, Journal of the American Chemical Society, 117(9), 1995, pp. 2638-2648
Semiempirical MNDO, AM1, and PM3, as well as ab initio, studies applyi
ng the STO-3G, 4-31G, 6-31G*, DZV, and DZP basis sets and also includ
ing the MP4 and QCISD(T) corrections were carried out on two tautomeri
c phosphorus hydrides H2PPH2 and HPPH3 and uni- and bimolecular reacti
ons. First, the geometry of the two molecules was optimized using the
theoretical methods mentioned in the Hartree-Fock (HF) scheme. The ene
rgies of the molecules at stationary points corresponding to HF/6-31G
geometries were subsequently calculated including electron correlati
on effects on the level of the fourth-order Moller-Plesset (MP4) pertu
rbation theory or quadratic configuration interaction with single and
double substitutions and triples contribution (QCISD(T)) calculated us
ing the 6-311+G-(3df,2p) or 6-311++G(3df,3pd) basis set. Complete geom
etry optimizations at the MP4/6-31G* level resulted in only slight ch
anges in the geometry and energy of the molecules as compared with HF
results. In order to compare ab initio results with the available ther
mochemical data, the energies of formation of all the entities were fi
rst calculated following Hess's Law. The partition function contributi
ons were subsequently determined in a harmonic approximation, which al
lowed for the calculation of entropies, heat capacities, and enthalpie
s and free enthalpies of formation of gaseous hydrides. This also resu
lted in vibrational frequencies that have to be scaled by a factor of
0.889 to suit available experimental data. Other physicochemical chara
cteristics of the hydrides, such as dipole moments and energies of the
lowest unoccupied (LUMO) and highest occupied (HOMO) molecular orbita
ls were obtained from theoretical calculations. The results of our nb
initio calculations indicate unambiguously that H-2-PPH2 is thermodyna
mically more stable than HPPH3, while the AM1 and PM3 semiempirical me
thods predict the reverse order of thermodynamic stability. Further, t
heoretical calculations predict that the H2PPH2 molecule can exist equ
ally well in both gauche and staggered forms. To gain insight into the
stability of the hydrides, energy changes for internal transformation
s (rotation around the P-P bond and inversion at P in H2PPH2), intramo
lecular (unimolecular) and intermolecular (bimolecular) hydrogen trans
fer, and decomposition processes were determined. Combination of these
data with classical thermodynamic and kinetic (RRKM theory) considera
tions revealed that increasing temperature should cause the decomposit
ion of H2PPH2 rather than transformation to HPPH3. On the other hand,
an isolated HPPH3 molecule once created would be stable at ambient tem
perature since barriers for its unimolecular tautomerization or decomp
osition are relatively high. However, bimolecular tautomerization, pro
ceeding with a negligibly small kinetic barrier over the thermodynamic
one, would bring the system to the lowest energy H2PPH2 structure.