Bethe–Feynman formula

• a = internal energy per gram
• b = growth rate
• c = sphere radius

${\displaystyle a\approx (bc)^{2}f}$

A numerical coefficient would then be included to create the Bethe–Feynman formula—increasing accuracy by more than an order of magnitude.[3]

${\displaystyle E_{f}f=\left({\frac {1}{\gamma -1}}\cdot E_{2}\right)\cdot \alpha _{max}^{2}\cdot R_{crit}^{2}{\frac {\delta *(1+3*\delta /2)}{(1-\delta )}}}$

where γ is the thermodynamic exponent of a photon gas, E2 is the prompt energy density of the fuel, α is V_n (neutron velocity) / λ_mfp_tot (Total reaction mean free path), R_crit is the critical radius and 𝛿 is the excess supercritical radius (R_core - R_crit) / R_crit.

• Richard Feynman
• Hans Bethe
• Robert Serber