The Mathematics of Radiation Protection
These articles and guidance look at the mathematics (maths) associated with radiation protection / health physics including halflife, inverse square law, statistics, instrumentation, famous physics equations and much more. If you like your radiation safety served with maths, then this resource section is for you!

Radioactive source holders  Dose rate through an aperture
Published: Apr 23, 2024
Source: Dr Chris Robbins, Grallator / Ionactive radiation protection resource
Read moreThis article, and our discussions with Dr Chris Robbins of Grallator, was born from a consideration of when a radioactive source holder (such as that fitted as part of a nuclear gauge) might become detached during a radiation accident, such that the radiation from the source is exposed directly through a small aperture. This is reasonably foreseeable compared to a radioactive source which might be completely exposed (unshielded). What would the dose rates be at a certain distance from the source holder, and what % of the trunk of the body would be exposed? This article considers the maths / physics behind this situation which has been developed for Ionactive by Chris. Ionactive has then taken the results of this analysis and shown how it would apply to a real world radiation accident.

Calculate an estimate of xray dose rate from an xray tube given kV and mA
Published: Mar 24, 2024
Source: Dr Chris Robbins, Grallator/ Ionactive Radiation Protection Resource
Read moreHow do you calculate an estimate of dose rate from an Xray tube give kV and mA? In this resource we consider a 'ballpark' estimate of radiation dose rate using some physics principles, including an estimate of % bremsstrahlung from an anode target, combined with a calculation of power density and consideration of average energy absorption rate.

When \( 1/d^2 \) breaks down  part 2: area source
Published: Mar 22, 2024
Source: Dr Chris Robbins, Grallator
Read moreWhen \( 1/d^2 \) breaks down  part 2: area source. Using some mathematics to explore how the inverse square law works with a radiation area source.

When \(1/d^2\) breaks down  part 1: line source
Published: Mar 22, 2024
Source: Dr Chris Robbins, Grallator
Read moreWhen \( 1/d^2 \) breaks down  part 1: line source. Using some mathematics to explore how the inverse square law works with a radiation line source.

The accumulated radiation dose when moving up to a source
Published: Nov 27, 2023
Source: Dr Chris Robbins, Grallator
Read moreConsider the situation where you move up to a radioactive source, perform some operations for a period of time, and then move away. What total dose will be received?

Physical, biological and effective halflife
Published: Sep 29, 2021
Source: Dr Chris Robbins, Grallator
Read moreThis technical mathematics article is written by Dr Chris Robbins of Grallator Limited. This article looks at Physical, biological and effective halflife and the mathematics behind them.