@article{oai:ynu.repo.nii.ac.jp:00010072,
 author = {Bhattacharyya, Swastibrata and Sahara, Ryoji and Ohno, Kaoru},
 journal = {Nature Communications},
 month = {Aug},
 note = {To design tailored materials, it is highly desirable to predict microstructures of alloys without empirical parameter. Phase field models (PFMs) rely on parameters adjusted to match experimental information, while first-principles methods cannot directly treat the typical length scale of 10 μm. Combining density functional theory, cluster expansion theory and potential renormalization theory, we derive the free energy as a function of compositions and construct a parameter-free PFM, which can predict microstructures in high-temperature regions of alloy phase diagrams. Applying this method to Ni-Al alloys at 1027 °C, we succeed in reproducing evolution of microstructures as a function of only compositions without thermodynamic empirical parameter. The resulting patterns including cuboidal shaped precipitations are in excellent agreement with the experimental microstructures in each region of the Ni-Al phase diagram. Our method is in principle applicable to any kind of alloys as a reliable theoretical tool to predict microstructures of new materials.},
 title = {A first-principles phase field method for quantitatively predicting multi-composition phase separation without thermodynamic empirical parameter},
 volume = {10},
 year = {2019}
}