The assumption that the increase in mass of a polymer, either through gas sorption or entrained mass, is proportional to the inverse of the resonant frequency of a slender elastic cantilever with the absorbing polymer attached at its free end is shown to provide a solid basis for the technique for measuring gas sorption described by B.J. Briscoe and H. Mahgerefteh (ibid., vol.17, p.483-7, 1984). The computed mass sorption and density change based on this assumption are shown to be consistent with the established theory of vibrating structures.
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Briscoe et al. (1986) studied this question.