  The behavior of an excess electron in a one, two and three dimensional
classical liquid has been studied with the aid of Chandler, Singh and
Richardson (CSR) theory [J. Chem. Phys. {\bf 81} 1975 (1984)] . The size or
dispersion of the wavepacket associated with the solvated electron is very
sensitive to the interaction between the electron and fluid atoms, and exhibits
complicated behavior in its density dependence. The behavior is interpreted in
terms of an interplay among four causes: the excluded volume effect due to
solvent, the pair attractive interaction between the electron and a solvent
atom, the thermal wavelength of the electron ($\lambda_e$), a balance of the
attractive interactions from different solvent atoms and the range of repulsive
interaction between electron and solvent atom. Electron self-trapping behavior
in all the dimensions has been studied for the same solvent-solvent and
electron-solvent interaction potential and the results are presented for the
same parameter in every dimension to show the comparison between the various
dimensions.
