The electric field gradient q at the Be-9 nucleus in BeC (X 3SIGMA-) i
s computed as a function of the internuclear distance using the config
uration interaction methodology and and natural orbitals constructed o
ver an extended atomic basis set of 117 contracted Gaussians. In contr
ast to molecules like LiH and BeH+, with no pi bonding, and for which
correlation effects account for only approximately 2% of the value of
q, in BeC, with its two unpaired pi electrons, the major contribution
to q (approximately 97%) is described properly only with a highly corr
elated wavefunction. As in LiH and BeH+, this field amounts on the ave
rage to approximately 80% of the atomic case (Li(P-2) and Be(P-3)). Th
e effect of vibration on the field gradient, computed as an averaged v
alue of q(R) over the vibrational states, shows a variation of approxi
mately 2% with increasing v; the effect of rotation is practically neg
ligible up to J = 5.