  Correlations reduce the configurational entropies of liquids below their
ideal gas limits. By means of first principles molecular dynamics simulations,
we obtain accurate pair correlation functions of liquid metals, then subtract
the mutual information content of these correlations from the ideal gas
entropies to predict the absolute entropies over a broad range of temperatures.
We apply this method to liquid aluminum and copper and demonstrate good
agreement with experimental measurements, then we apply it to predict the
entropy of a liquid aluminum-copper alloy. Corrections due to electronic
entropy and many-body correlations are discussed.
