Trace the H2 binding curve with real Hartree-Fock and read the correlation deficit honestly.
See it run - a worked example, 100% in this browser tab
The problem
Minimal-basis Hartree-Fock gets the H2 bond length right but underbinds the molecule, and many tools quietly present the energy as if it matched the exact reference.
The local-first solution
This plugin sweeps the bond length and runs restricted Hartree-Fock through the real wasm SCF engine in the browser, locates the equilibrium R_eq, and reports the energy gap to the published Kolos-Wolniewicz reference explicitly as the missing correlation energy.
What it does
Bond-length sweep with a full self-consistent-field solve at each separation
Equilibrium bond length R_eq = argmin E(R) and minimum energy
Selectable STO-3G through STO-6G minimal basis
Comparison to Kolos-Wolniewicz exact E = -1.17448 Eh at 1.401 bohr
Honest correlation-deficit percentage reported separately from numerical drift
Honest scope
Restricted Hartree-Fock recovers the bond length well but underbinds by a few percent; that gap is the missing electron-correlation energy, not arithmetic drift or a bug, and the RHF energy is never presented as matching the exact reference. A verification harness and bridge to correlated HPC methods, not a replacement for them.
Authorities cited
Kolos, W. & Wolniewicz, L. (1968). Improved Theoretical Ground-State Energy of the Hydrogen Molecule. J. Chem. Phys. 49, 404. https://doi.org/10.1063/1.1669836 - exact non-relativistic ground-state E = -1.17448 Eh at R_eq = 1.401 bohr.
NIST Chemistry WebBook, dissociation energy D0(H2) = 4.478 eV. https://doi.org/10.18434/T4D303
Szabo, A. & Ostlund, N. S. (1996). Modern Quantum Chemistry: Introduction to Advanced Electronic Structure Theory. Dover - restricted Hartree-Fock and the correlation-energy definition E_corr = E_exact - E_RHF.
Trace the binding curve
Run the SCF sweep in the browser and save the binding curve to Sandbox, attach it to a Worklog case, or route it into a Gate client portal. Nothing is uploaded to anyone's cloud.