RAD-01

Beer–Lambert

Narrow-beam exponential.

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RadiationBeer

Governing equation

I=I_0 e^{-\mu x}

where

I_0: Incident (—)
\mu: Attenuation (1/cm)
x: Depth (cm)
I: Transmitted (—)

Lecture brief

Historical brief

Beer attenuation, Compton (1923), Klein–Nishina, Bragg–Gray cavity and KERMA are the transport of photons and charged particles in matter. The sheets compute fluence, kerma and stopping. This sheet (RAD-01 — Beer–Lambert) is the form associated with Beer. Working symbols: $I_0$ , $\mu$ , $x$ $\rightarrow$ $I$ . Narrow-beam exponential.

Purpose

Purpose: compute

I

from

I_0

\mu

x

in Radiation physics via

I=I_0 e^{-\mu x}

Narrow-beam exponential. Use it when a real radiation physics question must be answered in SI before a code check.

Live realistic example

In symbols

Live case. Given

I_0 = 1.000\,\mathrm{—}

\mu = 0.200\,\mathrm{1/cm}

x = 5.000\,\mathrm{cm}

, the governing relation

I=I_0 e^{-\mu x}

yields

I = 0.3679\,\mathrm{—}

. Narrow-beam exponential. Move a slider: the numbers are this situation, not a canned story.

Calculator

Inputs

Incident I_01 —Attenuation \mu0.2 1/cmDepth x5 cm

Outputs

Transmitted I0.3679 —

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Narration of this film

Narrow-beam exponential.

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