Cyclic C3H3 is the simplest cyclic hydrocarbon,
but its configuration is complicated. The ground 2E″
state at the equilateral triangle geometry with D
3h
symmetry undergoes both Jahn–Teller
(JT) distortion and pseudo-Jahn–Teller (PJT) distortion to
structures with C
3v
, C
2v
, C
s
, or C
2 symmetry.
Previous works using complete active space self-consistent field (CASSCF)
or multiconfiguration SCF (MCSCF) differ on the characteristics of
these structures. To clarify the characteristics of these stationary
points on the potential energy surface (PES) of this radical, coupled-cluster
methods CCSD, CCSD(T), and EOMEA/IP-CCSD as well as density functional
theory are employed to calculate their geometries, harmonic frequencies,
and relative energies. Deformations between these stationary points
due to JT and PJT effects are analyzed in detail. Most of the results
with these methods are consistent with each other, except for the
b2 mode of the 2B1 state with C
2v
symmetry. CCSD and CCSD(T)
provide an imaginary frequency for this vibrational mode, while it
is calculated to be real with the other methods as well as with EOM-CCSDT-3.
This may be related to unstable reference in CCSD and CCSD(T) calculations.
On the other hand, most of the employed exchange–correlation
functionals provide reliable results on the characteristics of these
stationary points. Our results show that the 2A′
state with C
s
symmetry
is the only minimum structure on the PES of cyclic C3H3. The 2A2 and 2B1 states of the C
2v
structure
are second-order saddle points, while both the 2A state
of the C
2 structure and the 2A″ state of the C
s
structure are transition states connecting the global minimum 2A′ state.