not orange · Cherenkov
LITA charged particle moving faster than light's phase velocity in a medium (β > 1/n) emits Cherenkov light in a cone with cos θ = 1/(nβ). The Frank–Tamm formula gives a photon count per unit wavelength ∝ 1/λ², so the spectrum is weighted to short wavelengths, hence the blue glow of reactor pools. In water (n ≈ 1.33) the threshold is β = 0.752, an electron kinetic energy of about 0.26 MeV.
COMPUTEDThe contrast pair: the orange (thermal) side and the blue (Cherenkov) side. An electron crosses the black pool and its cone opens as β rises. The spectrum bars compare the 1/λ² Cherenkov weighting with a 2,500 K blackbody, which climbs toward the red.
β
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