The previously reported (2)A(g), (2)A(1g), and B-2(g) states of ionize
d ethane are characterized at several levels of theory. The diborane-l
ike (2)A(g) state, which gives rise to the observed ESR spectrum, is p
redicted by SCF and CCD calculations not to exist in a separate minimu
m from the (2)A(1g) state formed by ionization of the C-C bond. Howeve
r, as reported by Lunell and Huang, second-order Moller-Plesset theory
places the (2)A(g) lowest, provided polarization functions are includ
ed on carbon. QCISD theory predicts that both A states correspond to p
otential energy minima, but places the long-bond (2)A(1g) state lower,
at least with moderately large basis sets. F orbitals on carbon stabi
lize the diborane structure more than the long-bond one. When a potent
ial energy surface is generated for a series of fixed C-C bond lengths
by optimizing all variables except for the C-C bond length with MP2 t
heory and calculating the energy with QCISD(T), the (2)A(g) state is p
redicted to the lowest energy state with the (2)A(1g) with the (2)A(1g
) state 1.83 kJ/mol above it. The two A states are predicted to be sep
arated by a barrier 2.79 kJ/mol above the lower state. This barrier is
above the zero-point energy in the C-C stretch for the lower state bu
t below the ZPE for the stretch in the upper state, which is therefore
predicted not to exist as a stable species. A single quantum of vibra
tional excitation in the low frequency C-C stretch is predicted to yie
ld an ion with a poorly defined C-C bond length. The highest levels of
theory employed give good agreement with the experimental hyperfine c
oupling constants. The discrepancy could either be due to neglect of v
ibrational effects, to poor inherent accuracy of the calculation, as o
ne author has concluded, or to compression of the ion by the matrix as
suggested by another. The B-2(g) state is found to be higher in energ
y than the A states at all theoretical levels and is predicted to have
a large (160.2-177.4 G) hyperfine coupling from four hydrogens. The t
ransition state for simultaneous exchange of two hydrogen atoms betwee
n the carbons by a diborane structure is predicted to lie above the lo
west energy fragmentation threshold, in agreement with experiment. (C)
1996 by John Wiley & Sons, Inc.