The translational diffusion constant D for a random coil (or thread) of length L, wire diameter d, and end-to-end distance R (rms) is given by D = (kT / 3πη0L)[log(A / d) + 2(8 / 3π)1/2(L / A)1/2 − 1.0], where A = R2 / L. The diffusion constant for a coil subject to internal repulsive forces has also been calculated from its geometry.
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Sybrand Broersma (1969) studied this question.
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