Parameters
Radiation Type
Shielding Material
Photon energy E1.00 MeV
Source activity A100 MBq
Shield thickness x10.0 cm
Distance r1.00 m
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HVL [cm]
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TVL [cm]
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Transmission I/I₀ [%]
—
Shielding effect [%]
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μ/ρ [cm²/g]
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Linear μ [1/cm]
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Dose rate before [μSv/h]
—
Dose rate after [μSv/h]
Transmitted Intensity vs Shield Thickness (log scale)
Beer-Lambert Law & Shielding Theory
Gamma-ray transmitted intensity (with buildup correction):
$$I = I_0 \cdot B(\mu x) \cdot \exp(-\mu \rho x)$$where $\mu/\rho$: mass attenuation coefficient [cm²/g], $\rho$: density [g/cm³], $x$: thickness [cm]. $B$: buildup factor (scatter correction, $B \geq 1$).
HVL: $\dfrac{\ln 2}{\mu} = \dfrac{0.693}{\mu}$, TVL: $\dfrac{\ln 10}{\mu} = \dfrac{2.303}{\mu}$
Distance attenuation (inverse-square law): $\dot{D}(r) \propto \dfrac{1}{r^2}$
Applications: Shielding design for nuclear facilities, radiotherapy rooms, and RI labs. Hand-calculation verification for MCNP and SHIELD-11 results. Dose rate assessment per ICRP Publication 116. Numerical demonstration of the ALARA principle (time, distance, shielding).