A population of unstable nuclei with decay constant obeys and therefore decays as .
Radiogenic heating is thermal energy deposited by radioactive decay. If its specific heating rate is in watts per kilogram, the volumetric rate is and the heat input per horizontal area to a column of depth is . The distinction between specific and volumetric rates matters in dimensional analysis of a convective heat flux law.
In a chain with distinct decay constants, each population is a linear combination of the exponentials . When two consecutive constants coalesce to , the repeated Laplace-transform pole produces a term proportional to .

Articles by others on the same topic (2)

Radioactive decay is the process by which an unstable atomic nucleus loses energy by emitting radiation. This process results in the transformation of the original atom (known as the parent isotope) into a different atom or a different isotope of the same element (known as the daughter isotope). Radioactive decay can occur in several forms, including: 1. **Alpha Decay**: The nucleus emits an alpha particle, which consists of two protons and two neutrons (similar to a helium nucleus).
Radioactive decay by Ciro Santilli 40 Updated 2025-07-16
Ciro Santilli finds it interesting that radioactive decay basically kickstarted the domain of nuclear physics by essentially providing a natural particle accelerator from a chunk of radioactive element.
The discovery process was particularly interesting, including Henri Becquerel's luck while observing phosphorescence, and Marie Curie's observation that the uranium ore were more radioactive than pure uranium, and must therefore contain other even more radioactive substances, which lead to the discovery of polonium (half-life 138 days) and radium (half-life 1600 years).