Residual Intensity as a Function of Optical Depth along a Purely Absorbing Optical Path

τν rν = Iν/Iν0 = e -τν
< 0.01 ≈ 1 - τν
0.05 0.9512
0.10 0.9048
0.25 0.7788
0.50 0.6065
0.75 0.4724
1.00 0.3679
2.00 0.1353
5.00 0.0067
10.00 0.000454
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