成長結晶への不純物取り込みに関する表面過程を考慮した理論モデルの提案

抄録

  We extended the Burton-Cabrera-Frank (BCF) theory for crystal growth to include incorporation of impurities into a crystal growing from aqueous solution. We considered the surface processes of impurity molecules such as adsorption from solution to crystal surface, desorption from the surface, incorporation to step edge, and release from the step edge; as well as the host molecules that compose the crystal. Our theory enables us to calculate the partition (distribution) coefficient of impurities having various physical quantities relating to the surface processes. We demonstrated some interesting results on the impurity incorporation as examples; purification by slow surface diffusion and the dependence of the partition coefficient on supersaturation. Our theory provides a theoretical framework for identifying which factors significantly affect the incorporation of impurities into the crystal.