The electric quadrupole moments of a number of molecules have been det
ermined from measurement of the birefringence induced in a gas by an e
lectric field gradient. The values obtained are: carbon dioxide (-14.2
7+/-0.61) x 10(-40) C m(2), carbon monoxide (-9.47+/-0.15)x 10(-40) C
m(2), nitrogen (-4.65+/-0.08) x 10(-40) C m(2), chlorine (10.07+/-0.16
) x C m(2) and boron trifluoride (12.6+/-0.7) x 10(-40) C m(2). In the
calculation of the moments for carbon monoxide and boron trifluoride
the small hyperpolarizability contribution was neglected in the absenc
e of known values. By means of the Jones calculus a detailed analysis
was made of the effects of strain birefringence in the cell windows an
d imperfect orientation of polarizing components in the light path. Th
is analysis led to a measurement procedure which yielded results signi
ficantly different from previously reported ones obtained with essenti
ally the same apparatus. The probable error in the earlier procedure i
s identified.