We report an extensive ab initio study of the electric
dipole polarizability and hyperpolarizability of carbon
monoxide. The bond length dependence of the molecular properties
has been determined from finite-field
complete fourth-order many-body perturbation theory and coupled cluster
calculations with very large, well-optimized basis sets of Gaussian functions. The mean dipole
polarizability ᾱ and the anisotropy Δα vary
around the experimental bond length of R
e =
2.132 221 a
0 as
ᾱ(R)/e
2
a
0
2
E
h
-1
= 13.19 + 5.52(R − R
e)
+
1.74(R − R
e)2 −
0.35(R − R
e)3 −
0.33(R − R
e)4 and
Δα(R)/e
2
a
0
2
E
h
-1
= 3.66 + 8.28(R − R
e) +
3.32(R −
R
e)2 − 0.24(R −
R
e)3 − 0.42(R −
R
e)4. The mean first dipole
hyperpolarizability β varies as
β(R)/e
3
a
0
3
E
h
-2
= 28.0 − 7.0(R − R
e) −
5.6(R − R
e)2 −
8.7(R − R
e)3 +
2.1(R − R
e)4 and
the mean second dipole
hyperpolarizability γ̄ as
10-2γ̄(R)/e
4
a
0
4
E
h
-3
= 15.3 + 3.4(R − R
e) +
13.3(R − R
e)2 +
1.8(R − R
e)3 −
2.6(R
− R
e)4. Our best values for
the respective static limits at the ground vibrational state are
ᾱ = 13.15
e
2
a
0
2
E
h
-1,
Δα = 3.68
e
2
a
0
2
E
h
-1,
β = 26.5
e
3
a
0
3
E
h
-2,
and γ̄ = 14.8 × 102
e
4
a
0
4
E
h
-3.
Relying on previous estimates of
the dispersion of the hyperpolarizability (Sekino, H.; Bartlett, R. J.
J. Chem. Phys. 1993, 98, 3022), we
estimate
for the hyperpolarizability the values of β = 30.1 ± 0.6
e
3
a
0
3
E
h
-2
and γ̄ = (17.9 ± 0.9) × 102
e
4
a
0
4
E
h
-3
at
694.3 nm, in excellent agreement with the available experimental
results of 30.2 ± 3.2
e
3
a
0
3
E
h
-2
and 1730
± 50
e
4
a
0
4
E
h
-3,
respectively.