The coefficients for the RHF wavefunctions of carbons are taken from

C. F. Bunge, J. A. Barrientos, and A. V. Bunge, **Roothaan-Hartree-Fock Ground-State Atomic Wave Functions: Slater-Type Orbital Expansions and Expectation Values for Z = 2-54", Atom. Data Nucl. Data Tabl. 53, 113–162 (1993)