A Rule of Solute Segregation at Grain Boundaries

The control of solute segregation at grain boundaries (GBs) is essential in engineering alloy properties, however the structure-activity relationship of the key parameter-the segregation energies-still remains elusive. Here we propose the electronic and geometric descriptors of GB segregation based on the valence, electronegativity and size of solutes and the non-local coordination number of free surfaces, with which we build a predictive framework to determine the segregation energies across different solutes, matrices, GB structures and segregation sites. This framework uncovers not only the coupling rule of solutes and matrices in GB segregation, but also the origin of solute-segregation determinants. The contribution of solutes essentially stems from their d- and s-state coupling in alloying, whereas that of matrix GB interfaces is determined by matrix free surfaces. Our scheme builds a novel picture for the solute segregation at GBs and provides a useful tool for the design of advanced alloys.