Electric multipole moments and polarizabilities for Br-2 are obtained
from finite field self-consistent field (SCF), many-body perturbation
theory and coupled cluster calculations with large gaussian-type basis
sets. At the MP2 level of theory the bond length dependence of the me
an and the anisotropy of the dipole polarizability (alpha(alpha,beta)/
e(2)a(0)(2)E(h)(-1)) around the equilibrium bond length of R-e = 2.281
05 Angstrom is adequately described by alpha(R)/e(2)a(0)(2)E(h)(-1) =
44.85 + 8.74 (R - R-e)/a(0) + 1.30[(R - R-e)/a(0)](2) -1.61[(R - R-e)
/a(0)](3), Delta alpha(R)/e(2)a(0)(2)E(h)(-1) = 25.30 + 14.86(R - R-e)
/a(0) + 4.32[(R - R-e)/a(0)](2) - 3.13[(R - R-e)/a(0)](3). A very larg
e [18s15p12d6f] basis set consisting of 330 basis functions yields SCF
values alpha = 44.10 and Delta alpha = 28.31 e(2)a(0)(2)E(h)(-1). Add
ing electron correlation corrections obtained at the CCSD(T) level of
theory and vibrational corrections obtained at the MP2 level, the mean
dipole polarizability at the ground vibrational state is estimated at
alpha = 44.74 (to be compared with the experimental value of 45.0) an
d the anisotropy at Delta alpha = 25.39 e(2)a(0)(2)E(h)(-1). At the MP
2 level the mean second dipole hyperpolarizability gamma/e(4)a(0)(4)E(
h)(-3) varies around R-e as 10(3) gamma(R) = 10.2 + 0.6(R - R-e)/a(0)
+ 5.3[(R - R-e)/a(0)](2) + 24[(R - R-e)a(0)](3) + 2.6[(R - R-e)/a(0)](
4). SCF, MP2 and CCSD(T) results are combined to give as final theoret
ical prediction the estimate of gamma = (1.02 +/- 1.0) x 10(3) e(4)a(0
)(4)E(h)(-3).