Ni-based superalloys consist of ordered intermetallic gamma-prime (Ni3Al) precipitates embedded in a disordered face-centered cubic (fcc) gamma matrix. The control of the gamma+ gamma-prime two-phase microstructure and its high-temperature stability is the key to the success for the development of superalloys with desired high temperature properties since the g’ precipitate volume fraction, precipitate morphology, and distribution in these alloys strongly affect their mechanical properties (e.g. strength, fatigue and creep). The gamma precipitate morphology and spatial distribution are known to depend on a number of factors which include the gamma-prime precipitate volume fraction, alloy compositions, temperature, lattice mismatch between the precipitates and matrix, presence of dislocations, and applied stress loads. This presentation will describe our recent efforts for developing thermodynamic, diffusional mobility, and lattice parameter databases for the Ni-Al-Mo-Ta subsystem within the CMSX series of superalloys. Both the thermodynamic and lattice parameter database development are performed using the CALPHAD approach assisted by first-principles calculations of structural and energetic information that is unavailable experimentally. The diffuisonal mobility database construction is based on the generalized Onsager flux equation using experimental chemical and tracer diffusion data in the literature and the thermodynamic factors from the thermodynamic database. Furthermore, the possibility of quantitatively predicting the microstructure evolution and coarsening kinetics of gamma-prime precipitates using the phase-field approach will be discussed.