Nd3+ doped scheelite type of crystals have attracted extensive interests because of their applications in solid state lasers, as well as upconversion luminescence and magneto-optical and magnetic properties. Usually, these properties are closely related to the local structures and properties of the Nd3+ impurities in the hosts. Since information about electronic states and local structures of the impurity Nd3+ in the scheelite crystals would be helpful to the understanding of the properties of these materials, theoretical investigations on the specific heat functions and the local structures for these Nd3+ centers are of significance.