C

Critical Mass

m_crit = π²D/(νΣ_f) for sphere; depends on geometry and material
Quick Reference
Formula / Notationm_crit = π²D/(νΣ_f) for sphere; depends on geometry and material
Also Known AsCriticality mass, fissile critical mass, supercritical/subcritical mass

What is Critical Mass?

Critical mass is the minimum mass of fissile material (such as uranium-235 or plutonium-239) needed to sustain a self-propagating nuclear chain reaction. If the mass is below critical, too many neutrons escape without causing fission and the chain reaction dies out. At or above critical mass, the chain reaction becomes self-sustaining or explosive (supercritical). It depends on geometry, density, and purity.

Formula & Notation

m_crit = π²D/(νΣ_f) for sphere; depends on geometry and material

Other Names / Synonyms: Criticality mass, fissile critical mass, supercritical/subcritical mass

Properties & Characteristics

Critical mass is the minimum amount of fissile material (²³⁵U, ²³⁹Pu) required to sustain a self-propagating nuclear chain reaction (criticality). It depends on the material's enrichment, density, geometry (sphere is most efficient), presence of a neutron reflector, and moderation. The critical mass of bare ²³⁵U is ~52 kg (sphere); with a beryllium reflector, ~15 kg.

Uses & Applications

Critical mass calculations are fundamental to nuclear weapons design, nuclear reactor physics, and criticality safety in nuclear fuel processing facilities. Subcritical masses are maintained in all fuel storage and reprocessing to prevent accidental criticality.

Safety Information

Accidental criticality (e.g., Tokaimura accident, 1999) releases intense gamma and neutron radiation, causing acute radiation syndrome and potentially death. Strict criticality safety rules (mass limits, geometry controls, neutron absorbers) govern all handling of fissile materials.

Always consult the SDS/MSDS before handling any chemical. This information is for educational purposes only.

Key Facts

Term Critical Mass
Formula m_crit = π²D/(νΣ_f) for sphere; depends on geometry and material
Synonyms Criticality mass, fissile critical mass, supercritical/subcritical mass

Frequently Asked Questions

Critical mass is the minimum mass of fissile material (such as uranium-235 or plutonium-239) needed to sustain a self-propagating nuclear chain reaction. If the mass is below critical, too many neutrons escape without causing fission and the chain reaction dies out. At or above critical mass, the chain reaction becomes self-sustaining or explosive (supercritical). It depends on geometry, density, and purity.

More "C" Terms

View all "C" terms →
A B C D E F G H I J K L M N O P Q R S T U V W X Y Z