In the preceding paper, R172, systematic structure in the residuals of the Nuclear Rotor Atlas v1 revealed the need for a refined energy functional incorporating additional geometric effects. In this work, that refined functional is made fully computational. Explicit, computable forms are defined for local geometric quantities representing anisotropy, defect structure, surface exposure, and metastability, all derived from the discrete rotor representation of nuclei embedded in a four-dimensional substrate. These quantities are incorporated into a coefficient-weighted energy functional that extends the original Atlas formulation without introducing new degrees of freedom. The resulting model is evaluated on fixed Atlas v1 configurations, enabling empirical calibration of the new terms through least-squares fitting to experimental binding energies. A complete computational pipeline is established, including evaluation of local metrics, assembly of energy contributions, and parameter optimization. This formulation provides a direct bridge from geometric interpretation to numerical implementation and defines the operational basis for constructing Atlas v2, in which nuclear configurations are re-optimized under the refined functional.
Stephen Euin Cobb (Sat,) studied this question.