The thermal conductivity and specific heat of an uncompacted sol-gel glass have been measured over the temperature range T{}0.1--10 K. Relative to the compacted product, vitreous silica, the specific heat attributed to two-level states at T{}1 K is larger by a factor of 15, but the thermal conductivity is unchanged even though the phonon velocities are smaller by a factor of 2. At T>1 K, phonon transport appears to be limited by scattering from pores intrinsic to the sol-gel product.
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Grace et al. (1986) studied this question.
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