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Although there is a growing amount of information on the distribution of bubble sizes in the upper layers of the ocean, no satisfactory theory for it has yet been given. In this paper we make a beginning with a theoretical model for the initial size distribution of bubbles generated by the shattering of a single air cavity, as in a breaking wave, when the bubbles are still close to the parent surface and before the distribution has been modified by buoyancy and convection. The expected sizedoi:10.1098/rspa.1992.0171 fatcat:c4s2apd7u5gslfhdvrmqlvtjya