Alternating Nucleon Model structures of stable nuclides from 2H to 72Ge

The attached interactive HTML file contains rotatable geometric visualizations of 81 stable ground-state isotopes from ²H through ⁷²Ge. The Alternating Nucleon Model (ANM) assigns explicit three-dimensional coordinates to every proton and neutron, optimizing proton–neutron pairs within unique cylindrical lattice structures. Interactive 3D visualizations display alternating nucleon positions and inter-nucleon connections within strong-force range. These structures derive from two empirical length scales: the proton charge radius (0.8414 fm) and the inter-ring separation (0.9616 fm), combined with prolate spheroid nucleon geometry inferred from the N→Δ(1232) quadrupole transition. Structural complexity condenses to a single parameter: the average nearest-neighbour coordination number (𝒞AN), which quantifies mean nearest-nucleon interactions for each nuclide. Nuclide assembly constrained by experimental charge radii (R² = 0.97-0.98, RMSE = 0.107-0.118 fm) yielding nine total observables spanning three orders of magnitude in energy scale: – Binding energy per nucleon (R² = 0.993, RMSE = 0.104 MeV, n = 79, ⁴He excluded) – SEMF Coulomb term via pairwise quark-charge summation (R² = 0.98, 97.4% stepwise concordance) – EMC effect magnitude (R² = 0.965) – Short-range correlation scaling factors (R² = 0.921) Interpreting mass-defect binding energies as Gibbs free energy (ΔG = ΔH − TΔS) quantifies enthalpic and entropic contributions to nuclear assembly via the parabolic regression BE/A = (5.88 MeV)𝒞AN − (0.674 MeV)𝒞AN² − 3.92 MeV. The extracted effective temperature T₉,eff = 7.82 ± 0.29 aligns with the known thermal scale of stellar nucleosynthesis (T₉ = 5–10), where iron-peak elements form under nuclear statistical equilibrium conditions. A Euclidean basis for the established EMC–SRC correlation arises naturally from the lattice geometry: ANM bond lengths (0.84–0.96 fm) place proton–neutron pairs within the range where tensor correlations generate high-momentum components characteristic of short-range correlations. Increasing 𝒞AN tracks the enhancement of SRC prevalence from the deuteron through ⁵⁶Fe. Steric constraints of incomplete lattice rings predict the next stable isotope in 26 of 33 cases, while structural symmetry identifies the eight most cosmically abundant isotopes. These results demonstrate that a geometric nuclear model is not only visualizable but predictive across three orders of magnitude in energy scale.