Metallization Threshold — Seraphim Octave Ring

Insulator-to-metal transition energies mapped through n = log₂(ν_P / ν) · n_H = 92.19 is the condensation ceiling

The metallic cluster (purple band) sits near the top of the ring at n ≈ 91–97, tightly bracketing n_H = 92.19. He sits just below the ceiling; semiconductors spread upward. The full 201.87-octave ring is shown for context.

Zoomed to n = 85–100. Each dot is a material's metallization energy on the Seraphim octave coordinate. Materials below n_H require stellar/giant-planet pressures. Above it: lab-accessible or semiconducting.

Material Type E (eV) n Δ from n_H Regime
n_H ceiling (92.19)
Below ceiling (extreme pressure)
Above ceiling (lab-accessible)
Metallization cluster
n_BBH = 5.314
n_flip = 3.561