Pulsed electron paramagnetic resonance measurements of donor electron spins in natural phosphorus-doped silicon (Si:P) and isotopically-purified 28 Si:P show a strongly temperaturedependent longitudinal relaxation time, T 1 , due to an Orbach process with ∆E = 126 K. The 2-pulse echo decay is exponential in 28 Si:P, with the transverse relaxation (decoherence) time, T 2 , controlled by the Orbach process above ~12 K and by instantaneous diffusion at lower temperatures. Spin echo experiments with varying pulse turning angles show that the intrinsic T 2 of an isolated spin in 28 Si:P is ~60 ms at 7 K.