The results obtained from previous investigations of the sublimation phenomenon, which was quantitatively described earlier for classical crystals of the argon type at not too low temperatures within the framework of the theory based on classical relationships for one-particle and two-particle distribution functions of a statistical medium, are extended to the case of crystals in which a significant role can be played by quantum effects. It is shown that the inclusion of quantum corrections to the classical free energy of a crystal makes it possible to describe quantitatively the sublimation curve for a “nonclassical” crystal, for example, a neon crystal, which exhibits clearly pronounced quantum properties even at temperatures close to the triple point. This description requires only data on the parameters of interatomic interaction potentials and atomic masses. Experimental investigations of the crystal-gas equilibrium curve are proposed to be performed for argon at low temperatures, for which the theory predicts a deviation from the law of corresponding states for the sublimation phenomenon.