FSIM: A Pedagogical and Extensible HPC Framework for the Hartree-Fock Method

Abstract

Efficient computation of molecular integrals and Hartree-Fock energy remains a central topic in quantum-chemistry algorithm development. Although many sophisticated open-source packages are available, understanding their implementations from first principles can be difficult for students and developers alike. In this work, we present a concise overview and an extensible pedagogical framework that implements the Hartree-Fock method and the McMurchie-Davidson scheme for molecular integral evaluation. The implementation follows an object-oriented design in C++, emphasizing clarity and modularity. We also discuss strategies for parallel execution, including distributed computing with MPI and shared-memory parallelization with OpenMP. Beyond presenting a working reference, this work establishes a learning platform for further exploration, including suggested mini-projects for algorithmic optimization and HPC scalability. The accompanying open-source library, FSIM, described in this work, serves as a compact resource for teaching and research in computational chemistry and high-performance computing.