A local interpolation scheme using no derivatives in quantum-chemical calculations

摘要

A scheme using interpolant moving least squares (IMLS) combined with Shepard interpolation is proposed to describe potential energy surfaces (PES). This scheme does not require any derivatives in quantum-chemical calculations to construct a PES, in contrast to previously developed schemes based on Shepard interpolation alone. In addition, the scheme retains the advantages of local interpolation schemes. Application is made to an analytical surface for the H_3 system.