scf_xtpl_helgaker_2

qcdb.scf_xtpl_helgaker_2(mtdname, zLO, valueLO, zHI, valueHI, alpha=1.63, verbose=1)[source]

Extrapolation scheme for reference energies with two adjacent zeta-level bases. Used by qcdb.cbs(). Halkier, Helgaker, Jorgensen, Klopper, & Olsen, Chem. Phys. Lett. 302 (1999) 437-446

\[E_{\textrm{total}}^X = E_{\textrm{total}}^{\infty} + \beta e^{-\alpha X}, \alpha = 1.63\]
Parameters:
  • mtdname (str) – Method name (e.g., ‘HF’) used in summary printing.

  • zLO (int) – Zeta number of the smaller basis set in 2-point extrapolation.

  • valueLO (Union[float, ndarray]) – Energy, gradient, or Hessian value at the smaller basis set in 2-point extrapolation.

  • zHI (int) – Zeta number of the larger basis set in 2-point extrapolation. Must be zLO + 1.

  • valueHI (Union[float, ndarray]) – Energy, gradient, or Hessian value at the larger basis set in 2-point extrapolation.

  • verbose (int) – Controls volume of printing.

  • alpha (float) – Fitted 2-point parameter.

Returns:

Eponymous function applied to input zetas and values; type from valueLO.

Return type:

float or numpy.ndarray

Examples

>>> # [1] Hartree-Fock extrapolation
>>> qcdb.energy(qcdb.cbs, scf_wfn='hf', scf_basis='cc-pV[DT]Z', scf_scheme=qcdb.scf_xtpl_helgaker_2)