Mie-Rayleigh: σ(2R)/σ(R) = 64 (R⁶); σ(λ)/σ(2λ) = 16 (λ⁻⁴)

Layer 2 — Chemistryin the nanochemistry subtree

Sympy-exact symbolic witness of the R⁶ and λ⁻⁴ scalings in the Rayleigh limit of Mie scattering. Setup: σ = (128π⁵R⁶/3λ⁴) · ((n_r²-1)/(n_r²+2))² as a sympy expression. Canonical form (sympy Mul-ordered): σ_sym = '128*pi**5*R**6*(n_r**2 -…

Related concepts

Mie-Rayleigh framework: σ = (128π⁵R⁶/3λ⁴)·((n²-1)/(n²+2))² (R⁶/λ⁴ scaling)
1D DOS: g_1D(E) = (1/πℏ)·√(m/(2E)) (van Hove 1/√E)

Explore Mie-Rayleigh: σ(2R)/σ(R) = 64 (R⁶); σ(λ)/σ(2λ) = 16 (λ⁻⁴) on the interactive knowledge graph →