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Mean life and decay constant

τ = 8.685 h

τ=1λ=T1/2ln21.443T1/2\tau = \frac{1}{\lambda} = \frac{T_{1/2}}{\ln 2} \approx 1.443\,T_{1/2}

τ = 1/λ = T½ / ln 2 ≈ 1.443 T½. Mean life, not half-life.

Laser