We report differential elastic cross sections for low-energy electron scattering by CHF3, CH2F2, CH3F, CHCl3, CH2Cl2, CH3Cl, CHCl3, CF2Cl2, and CF3Cl, obtained with the Schwinger multichannel method with norm-conserving pseudopotentials. Our results are in excellent agreement with available experimental and theoretical data. We compare the present results with our previous results for CH4, CF4, and CCl4 and show that the oscillatory behavior of the cross sections is related to electron scattering from heavier centers (F or Cl), which favors the coupling of high partial waves. We also include a table with momentum-transfer cross sections. [S1050-2947(99)02801-2].591879881