Abstract
Recent heat-capacity measurements of $^{3}\mathrm{He}$ adsorbed on graphite by Greywall and Busch are interpreted in terms of a triangular second-layer solid having \ensuremath{\surd}7 \ifmmode\times\else\texttimes\fi{} \ensuremath{\surd}7 registry with respect to the first adsorbed layer. The observed entropy change in the millikelvin region is well accounted for by an antiferromagnetic Heisenberg spin Hamiltonian in which only a subset of second-layer spins forming a Kagom\'e net are strongly coupled.
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