We present the results of calculations of the Verdet constants for H-2
, N-2, C2H2 and CH4, within a recently implemented quadratic response
function approach, for the hierarchy of coupled cluster models CCS, CC
2 and CCSD. For hydrogen, our FCI results are compared with experiment
and with previous calculations of ''benchmark'' quality. The results
for nitrogen and acetylene are compared with experiment and former the
oretical investigations. For methane, this is the first ab initio stud
y of the Verdet constant. (C) 1997 Elsevier Science B.V.