Basis to Hamiltonian
Every basis generated, nothing tabulated
Localized orbitals — FAO, NAO, all-electron NAO-AE, STO-nG and the named Pople, Dunning (cc-pVXZ) and Karlsruhe (def2) Gaussian families — are built from scratch at run time, by analytic formulas, least-squares fits or an atomic LDA solver, not looked up in a basis-set library. So are the three pseudopotential families, NCPP, ONCVPSP and PAW, selected as a basis name.
- A C/OpenMP integral engine that never sees an orbital's analytic form — only its sampled grid values
- The two-electron Coulomb integral solved via FFT, O(N log N)
- A frozen-core approximation that removes the chemically inert core orbitals from the qubit count — or a pseudopotential (basis="PAW") that removes the core and the -Z/r cusp altogether