Abstract Based on the first order acoustic perturbation theory，the discontinuous boundary layer effects from the temperaturejump and slip-velocity between the gas and the solid wall are investigated At low pressures，temperature-jump and slip-velocity make a significant contribution to the resonance frequencies but not to energy losses.The corrections to the resonance frequencies are presented.The corrections for different gases，different acoustic modes at different pressures and temperatures are also compared This correction is very necessary for the re-determination of the Boltzmann constant.
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