Nuclear

Modelled[M packaging]. 12-vertex solid unselected. Rhombicosidodecahedron struck. Not the SHE edge n_α ≥ 50. No BANK_FT token.

Nuclide Horizon

Heavy nuclei, Z ≥ 80. The nested cage and the lead horizon are [M packaging]. The overflow addend and slopes stay [O residual].

Reading this entry

The nuclide horizon is the geometric bookkeeping for heavy nuclei with Z ≥ 80. It names a nested cage of capacity 12+30 = 42 and a lead horizon at n_α = 41, and it keeps the bismuth separation and the overflow energies as the recorded heavy-nucleus comparisons.

What this is used for

Superheavy and drip-line maps cite this horizon when they separate the lead count n_α = 41 from the large-cage mark. The light-nuclei bond quanta supply the one-quantum relaxation the horizon uses for an odd proton.

Walk through

For Z ≥ 80 the cage-capacity label is 12 + 30 = 42, a nested sum of a 12-vertex solid and the 30-vertex icosidodecahedron, and the lead horizon is n_α = 41. Odd-proton relaxation uses one bond quantum B_bond ≈ 2.47 MeV, taken from the evaluated quanta 2.471740 MeV and 2.469003 MeV. The recorded bismuth comparison is S_p(²⁰⁹Bi) = 1640.244 − 1636.430 = 3.814 MeV. The page also prints the separate large-cage mark n_α ≥ 50. The closure addend is +16.50 MeV at n_α ≥ 41, the overflow intercept is −20.92 MeV, and the overflow slopes are −4.78 MeV and −8.28 MeV per overflow alpha.

Public Doctrine v1.1.13 places a geometric horizon for on live line §0bn1191. The placement is [M packaging]. It is not a status-chip promote, and it is not a mass-table theorem.

The cage

The cage-capacity label is : a concentric nested sum of a 12-vertex solid and the 30-vertex icosidodecahedron. The 12-vertex solid stays unselected. The rhombicosidodecahedron is struck. Older catalogue abstracts that put an island of stability at on that struck solid are not this horizon.

The lead horizon is . Odd-proton relaxation to one bond quantum is [M packaging]. The two evaluated bond quanta on the light-nuclei page are 2.471740 MeV and 2.469003 MeV. This horizon uses one of those quanta as packaging. It does not derive the heavy binding table.

The recorded bismuth comparison is [E vs data]. That difference is a comparison. It is not a derivation of the separation energy.

What this page is not

The 600-cell section (12, 20, 12, 30) is icosian geometry. Assigning a section to a nuclide stays a modelled reading. It is not this cage.
The SHE dual-edge and the drip-line maps use . That edge is not .
Half-lives stay forbidden. There is no stock binding-energy-per-nucleon island claim on this page.

Open residuals

The empirical closure addend at , the overflow intercept , and the overflow slopes and per overflow alpha stay [O residual]. No BANK_FT_* token is issued.