The vibrational spectrum of the linear carbon clusters
C2−C9 and of cyclic C4,
C6, C8, and C10 has
been
investigated using the augmented coupled-cluster, CCSD(T), method
and correlation-consistent basis sets.
Particular emphasis is placed on assignment of bands in matrix
infrared spectra of trapped graphite vapor.
The relative energetics of linear and cyclic isomers of
C6, C8, and C10 were investigated
at the CCSD(T) level
using basis sets of [4s3p2d1f] quality. Our best calculations
predict that the ground state structure of C6
is
a cumulenic D
3h
ring and that of
C8 a polyacetylenic C
4h
ring. Linear
states are
close in energy (13 ±
2 and 8 ± 2 kcal/mol, respectively), and both forms should be
observable. The ground state structure of
cyclic C10 clearly has
D
5h
rather than
D
10h
symmetry, at least for the
r
e geometry. A linear regression
of
computed CCSD(T)/[3s2p1d] harmonic frequencies vs observed
fundamentals for the previously assigned
stretching frequencies of linear C
n
clusters has
a very high correlation coefficient (up to r = 0.99975 at
10
data points). From the regression line and the calculated
frequencies, band origins for linear C8 are
predicted
at 2063 ± 18 and 1711 ± 14 cm-1 (99% confidence
intervals) and ancillary bands for linear C9 at 2093
±
18 and 1604 ± 16 cm-1. From the calculated
infrared-active CCSD(T) frequencies for the cyclic
clusters
and anharmonicity considerations, we suggest that bands near 1695,
1818, and 1915 or 1921 cm-1 belong to
cyclic C6, C8, and C10,
respectively, while bands near 1590 and 1715 cm-1 are
probably due to linear C9 and
C8, respectively. Finally, a broad feature at
2070−2090 cm-1, which upon deconvolution appears to
consist
of three bands, is suggested to contain bands of both linear
C8 and C9.