N₂ > N₁

LITA laser needs more atoms in the upper level than the lower: a population inversion, which thermal equilibrium (Boltzmann, N₂/N₁ = e^(−ΔE/kT)) never gives. Ruby (batch 17, 694.3 nm) is a three-level laser, so more than half of all Cr³⁺ ions must be pumped. Four-level lasers such as Nd:YAG (1064 nm) empty their lower level quickly, so inversion needs only a small pump.

COMPUTEDThe Boltzmann ratio for 1.786 eV at 300 K is about 10⁻³⁰. MODELNormalised rate equations: 3-level N₂ = W/(1+W) needs W > 1; the 4-level lower level is kept nearly empty.

pump W

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