Neutron Flux Calculator

Enter your thermal flux, reactor geometry, and material properties to calculate neutron flux in a reactor environment. Provide values for thermal flux, Cd ratio, thermal/fast ratio, sample mass, and exposure time — the calculator returns epithermal flux, fast flux, and a full flux breakdown across neutron energy regions.

n/cm²·s

Thermal neutron flux at the sample position (E < 0.5 eV)

Ratio of bare to Cd-covered activation (used to determine epithermal flux)

Ratio of thermal flux to fast (fission spectrum) flux

mg

Mass of the sample being irradiated

hours

Duration of neutron irradiation

hours

Time elapsed after the end of irradiation before measurement

g/cm³

Physical density of the sample material

mm

Thickness of the sample (used for self-shielding estimate)

Select the reactor type to apply the appropriate spectrum weighting

m

Elevation above sea level — affects cosmic-ray neutron background estimate

Results

Total Neutron Flux

--

Epithermal Flux

--

Fast Flux

--

Neutron Fluence (Total)

--

Areal Density

--

Self-Shielding Factor (Gth)

--

Cosmic Neutron Background (relative)

--

Neutron Flux Distribution by Energy Region

Results Table

Frequently Asked Questions

What is neutron flux and how is it measured?

Neutron flux is the number of neutrons passing through a unit area per unit time, expressed in n/cm²·s. It is measured using activation detectors, fission chambers, or self-powered neutron detectors placed inside or near a reactor core. The flux characterizes the intensity of the neutron field at a given location.

What is the difference between thermal, epithermal, and fast neutron flux?

Thermal neutrons have energies below ~0.5 eV and are in thermal equilibrium with the surrounding medium. Epithermal neutrons fall between ~0.5 eV and ~0.1 MeV. Fast neutrons have energies above ~0.1 MeV and originate directly from fission reactions. Each region interacts with materials differently and drives distinct nuclear reactions.

What is the Cadmium (Cd) ratio and why does it matter?

The Cadmium ratio is the ratio of the activation rate of a bare detector to that of the same detector wrapped in cadmium foil. Cadmium absorbs neutrons with energies below ~0.5 eV, so this ratio lets you separate thermal and epithermal flux contributions. A higher Cd ratio indicates a harder (more epithermal-dominant) neutron spectrum.

What is neutron fluence and how does it differ from flux?

Neutron fluence is the time-integrated neutron flux, measured in n/cm². While flux describes the instantaneous intensity of the neutron field, fluence measures the cumulative neutron exposure over the irradiation period. Fluence is the key parameter for predicting material activation and radiation damage.

What is self-shielding in neutron activation analysis?

Self-shielding occurs when a sample absorbs a significant fraction of the incident neutrons, reducing the effective flux seen by the interior of the sample. This correction factor (Gth) depends on the sample's macroscopic thermal neutron cross-section, its thickness, and density. Thin or dilute samples typically have Gth values close to 1.

How does elevation affect neutron flux measurements?

At higher elevations, the atmospheric shielding from cosmic rays is reduced, increasing the cosmic-ray neutron background. This effect is significant for sensitive low-background measurements or electronics reliability testing (per JESD89B). Sea-level measurements serve as the reference baseline for cosmic neutron flux comparisons.

What reactor types produce different neutron spectra?

Thermal reactors (e.g. light-water reactors) moderate neutrons to thermal energies, producing a large thermal flux component. Fast reactors have no moderator and maintain a predominantly high-energy fission spectrum. Mixed-spectrum reactors fall between these extremes and are common in research reactor settings near reflector regions.

What is neutron fluence used for in materials science?

Neutron fluence is used to predict radiation damage in structural materials, fuel burnup in reactor fuel elements, and the degree of radioactive activation in irradiated samples. Damage correlations such as displacement per atom (dpa) are directly proportional to the fast fluence experienced by the material.

More Physics Tools