The famous sequence of precipitates which form upon heat treating Al-Cu is
part of neatly every metallurgical textbook. Numerous precipitation land ot
her) experiments have led to a long-standing belief that the energetic grou
nd start: of Al2Cu is the theta phase. Modern first-principles calculations
at T = 0 K surprisingly predict the energy of the observed Al2Cu-theta pha
se to be higher than that of its metastable counterpart, theta '. We show t
hat vibrational entropy reverses this energetic preference at T similar to
150-200 degreesC, resolves the apparent discrepancy between theory and expe
riment, and hence plays a critical (but previously unsuspected) role in the
precipitation sequence.