Radiation Calculation Tools

A comprehensive suite of practical radiation calculation tools, built on over 30 years of research expertise. These calculators are designed for immediate application in professional and educational settings.

Isotope Decay & Specific Activity

Calculate the remaining activity of a radioactive isotope after a specific time, and determine its specific activity (activity per unit mass).

$$A_t = A_o e^{-\lambda t}$$ $$ \lambda = \frac{0.693}{T_{1/2}} $$

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Radiation Unit Conversion

A simple tool for converting between various radiation units (Activity, Exposure, Absorbed Dose, Equivalent Dose).

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Radiation Dose & Shielding

Calculators for understanding dose rates from sources and the attenuation of radiation through materials.

Radiation Dose Calculation

Calculate the dose rate from a gamma-ray point source at a specific distance using the specific gamma-ray dose constant $\Gamma$.

$$Dose = \Gamma \times \frac{Activity}{r^2}$$

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Radiation Attenuation & Shielding

Calculate how radiation intensity decreases as it passes through a material using the mass attenuation coefficient $\mu/\rho$.

$$I = I_0 e^{-\mu t} = I_0 e^{-(\frac{\mu}{\rho}) \rho t}$$

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Medical Imaging Calculations

Calculators for understanding key principles in medical X-ray and nuclear imaging.

Contrast Agent X-ray Attenuation

Calculate the X-ray transmission through common contrast agents like iodine and barium.

$$I = I_0 e^{-(\frac{\mu}{\rho}) \rho t}$$

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Neutron-Related Calculations

Calculators for neutron-specific phenomena, including absorption, conversion, and moderation.

Neutron Absorption & Transmission

Calculate neutron absorption and transmission through a material using the macroscopic cross-section $\Sigma$.

$$I = I_0 e^{-\Sigma t}$$ $$ \Sigma = N \sigma $$

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Neutron Data Conversion

Convert neutron energy to its corresponding wavelength and velocity, and vice versa.

$$E_{meV} = \frac{81.82 \times 10^3}{(\lambda \text{Å})^2}$$ $$v_{m/s} = 3956 / (\lambda \text{Å}) = 437 \cdot \sqrt{E_{meV}}$$

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Neutron Moderation Coefficient Calculation

This calculator determines the moderation coefficient ($\xi$), a measure of a material's ability to slow down neutrons.

$$\xi = \ln\left( \frac{A + 1}{A - 1} \right)^2 / 2A$$

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Detector-Related Calculations

Calculators for understanding and optimizing detector performance.

Minimum Detectable Activity (MDA)

Calculate the smallest amount of activity that can be reliably detected by a measurement system.

$$\text{MDA} = \frac{2.71 + 4.65 \sqrt{B}}{t \cdot \epsilon}$$

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Dead Time Calculator

Correct for the dead time effect, which is significant in detectors at high count rates.

$$N = \frac{n}{1 - n\tau}$$

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Neutron Detector Efficiency Calculation

Calculate the detection efficiency ($\epsilon$) of various gas-filled and solid-state neutron detectors.

$$\epsilon = 1 - e^{-N\sigma t}$$

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