In this paper, the thermodynamic entropies of the liquid rare-earth me
tals are explained by the statistical theory of entropy using the hypo
theses about the electronic structure suggested by what is believed to
be true of the corresponding solids. The pair correlation entropies a
re computed from measured pair correlation functions, while the triple
t correlation entropies are estimated by measured structure factors wi
th the help of the uniform fluid model for evaluation of a change in t
he structure factor on application of the pressure. The magnitude of t
he pair and triplet correlation entropies is smaller than that of the
liquid 3d transition metals near the melting point. The excess entropy
of a hard sphere model is discussed in relation to the correlation en
tropies studied.