In physics, the attenuation length or absorption length is the distance λ {displaystyle lambda } into a material when the probability has dropped to 1 / e {displaystyle 1/e} that a particle has not been absorbed. Alternatively, if there is a beam of particles incident on the material, the attenuation length is the distance where the intensity of the beam has dropped to 1 / e {displaystyle 1/e} , or about 63% of the particles have been stopped. In physics, the attenuation length or absorption length is the distance λ {displaystyle lambda } into a material when the probability has dropped to 1 / e {displaystyle 1/e} that a particle has not been absorbed. Alternatively, if there is a beam of particles incident on the material, the attenuation length is the distance where the intensity of the beam has dropped to 1 / e {displaystyle 1/e} , or about 63% of the particles have been stopped. Mathematically, the probability of finding a particle at depth x into the material is calculated by Beer-Lambert law: In general λ {displaystyle lambda } is material and energy dependent.