As part of a general study of the time-dependent local density approximatio
n (TDLDA), we report here calculations of optical activity of chiral molecu
les, taking as examples methyloxirane and C-76(-). The theory automatically
satisfies sum rules and the Kramers-Kronig relation between circular dichr
oism and optical rotatory power. It reproduces the absorption strengths of
the strong states quite well and qualitatively describes the chiroptical pr
operties; quantitatively, the predictions of the circular dichroism of the
lowest states are a factor of 2-4 too high. In the chiral fullerene C-76 th
e TDLDA provides a consistent description of the optical absorption spectru
m, the circular dichroism spectrum, and the optical rotatory power, except
for an overall shift of the theoretical spectrum. [S1050-2947(99)07607-6].