#nuclear

Nuclear-physics maths as an API, computed locally and deterministically. The binding-energy endpoint computes a nucleus's mass defect, Δm = Z·m_H + N·m_n − M_atom, and its binding energy E = Δm·c² (1 u = 931.494 MeV) and binding energy per nucleon, from the proton and neutron counts and the measured atomic mass. The semf endpoint estimates the binding energy from the semi-empirical (Bethe-Weizsäcker) mass formula, breaking it into the volume, surface, Coulomb, asymmetry and pairing terms, from just the mass number and proton number. The q-value endpoint computes the energy released or absorbed in a nuclear reaction from the masses of the reactants and products, Q = (Σm_reactants − Σm_products)·c², classifying it as exothermic (fusion of light nuclei or fission of heavy ones) or endothermic. Masses are in atomic mass units and energies in MeV and joules. Everything is computed locally and deterministically, so it is instant and private. Ideal for physics-education, nuclear-engineering, astrophysics and science app developers, reactor and reaction tools, and STEM teaching. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is nuclear binding and reactions; for radioactive decay use a half-life API and for atomic energy levels a quantum API.

api.oanor.com/nuclear-api

Radioactive (exponential) decay maths as an API, computed locally and deterministically. The decay endpoint computes how much of a substance remains after a given time, N(t) = N0·(1/2)^(t/T½) = N0·e^(−λt): from a half-life (or a decay constant or mean lifetime), an elapsed time and an optional initial amount, it returns the fraction and percent remaining, the remaining and decayed amounts, the number of half-lives elapsed, and — if you give an initial activity — the remaining activity, which decays by the same factor. The constant endpoint converts freely between the half-life T½, the decay constant λ = ln2/T½ and the mean lifetime τ = 1/λ = T½/ln2. The age endpoint reverses the decay to find the elapsed time from the fraction remaining, t = T½·log₂(1/fraction) — the basis of radiometric (carbon-14) dating — and accepts either a fraction or a remaining and initial amount. Time and half-life share one unit, and the results come out in that unit. Everything is computed locally and deterministically, so it is instant and private. Ideal for physics and chemistry education, nuclear-medicine and dosimetry tools, archaeology and geology dating, and pharmacokinetics and science apps. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is exponential decay; for the ideal gas law use a gas-law API and for the chemical elements use an elements API.

api.oanor.com/halflife-api