CROSS SECTIONS FOR ELECTRON SCATTERING BY POLYATOMIC MOLECULES USING THE SCHWINGER MULTICHANNEL METHOD WITH PSEUDOPOTENTIALS (SMCPP) Marcio T. do N. Varella*, David L. Azevedo*, Roberto B. Diniz*, Alexandra P. P. Natalense*, M\'arcio H. F. Bettega**, Luiz G. Ferreira* and Marco A. P. Lima* *Instituto de Fisica Gleb Wataghin, Universidade Estadual de Campinas, UNICAMP, 13083-970, Campinas, Sao Paulo, Brazil **Departamento de Fisica, Universidade Federal do Parana, UFPR, Caixa Postal 19081, 81531-990 Curitiba, Parana, Brazil We present a multichannel calculation for eletron-H2O collisions including 11 open electronic states and also static-exchange calculations for electron scattering by heavy targets, such as CF3, SO2 and TiCl4. The study was carried out using the Schwinger Multichannel Method with Pseudopotentials (SMCPP)~[1]. In this approach, the core electrons of the target are replaced by the norm--conserving BHS pseudopotentials thus reducing the computational effort in a large extent.