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For forced radial oscillations of gas bubbles in liquids,a more rigorous expression of the acoustic damping constant based on Keller’s equation is developed.Comparison with those in published papers is also made.The expression offered in this paper will improve the predictions of total damping constant in particular for high frequencies and large bubbles,i.e.,large ωR0 / c1 ( ω is the frequency of driving sound field,R0 is the equilibrium bubble radius,c1 is the sound speed in the liquid).Examples in ultrasound imaging and acoustical oceanography are demonstrated.