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Laser photolysis of various molecular precursors provides a means to generate translationally fast H and D atoms with laboratory energies in the range of 1 - 3 eV. Because of the large disparity in the mass of the H atom compared to the mass of the other photolysis fragment, almost all of the excess energy of the photon is deposited into the kinetic energy of the light H atom. From conservation of energy and momentum, the energy of the H atom may be calculated almost exactly. With typical precursors such as HI, HBr, HC1, and H2S, and excimer laser wavelengths at 193 and 248 nm, the widths of the H atom kinetic energy distributions are small compared to the total energies, providing a rather precise collision energy. Keywords: Hydrogen; Hydrogen chloride; Hydrogen sulfide; Hydrogen bromide; Hydrogen iodide; Energy transfer; Hot atoms; Laser; Vibration; Reprints. (jhd)