The rate coefficient, k1 − 0, for the vibrational relaxation, v = 1, j = 0 → v′ = 0, of CO in collisions with He and with ortho- and para-H2; the results were obtained with the potentials of Kobayashi et al. (2000). The experimental measurements of Chenery (1984) for CO–He, reported by Wickham-Jones et al. (1987), are shown as the vertical crosses and the results of the computations by Peterson & McBane (2005) are shown by the diagonal crosses, connected by the broken curve. The rate coefficient is plotted as a function of the kinetic temperature.