Depletion

Load a depletion chain and run one CRAM burnup step in the browser.

Depletion solves the Bateman equation for atom densities $\vec{n}(t)$:

where $A$ is the transmutation matrix built from decay, capture, and fission reaction rates. Nucleide uses the Chebyshev Rational Approximation Method (CRAM) with published 16- and 48-order coefficients.

Depletion chain

A chain XML lists nuclides, half-lives, decay branches, reaction targets, and fission yields. The demo below uses a tiny three-nuclide chain:

One-step solve

deplete(chain, n0, dt, rates, order) integrates over one time step dt. In production you would loop this call, update reaction rates from a transport solve, and accumulate burnup. The demo also offers a Burnup curve run that repeats the step and plots nuclide densities versus cumulative time.

See also

• Tutorial: Run depletion
• Theory: Depletion
• Crate docs: crates/depletion/src/lib.rs