Paramagnetic relaxation characteristics of trapped electrons in γ-irradiated, glassy methanol, ethanol and 2-methyltetrahydrofuran (MTHF) at 73 °K were studied by power saturation techniques. The spin-spin relaxation time is constant with radiation dose at low doses and decreases at higher doses. Together with data on the total spin concentration the results are interpreted in terms of a “spur” model in which the initial spatial distribution of radiation-produced, trapped electrons and radicals is non-uniform. According to this model the spur radius is about 59 Å in methanol and 72 Å in MTHF. These radii compare with 42 Å for trapped electrons in alkaline ice. The radius within which electrons are trapped appears to increase with decreasing polarity of the matrix. The ratio of local spin concentration to the sample average spin concentration is greater than one at low doses in all matrices.