Modern Physics
Nuclear Radius
Nuclear radius scales as the cube root of mass number, implying constant nuclear density. R₀ ≈ 1.2 × 10⁻¹⁵ m (1.2 femtometers).
Variables
Rm
Nuclear radius
R_0m
Radius constant (≈ 1.2 fm)
Aunitless
Mass number (protons + neutrons)
Derivation
Empirically determined from scattering experiments; implies nucleons are incompressible.
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Common questions
What is the Nuclear Radius formula?
Nuclear Radius is written R = R₀ A¹/³. Nuclear radius scales as the cube root of mass number, implying constant nuclear density. R₀ ≈ 1.2 × 10⁻¹⁵ m (1.2 femtometers). It belongs to Modern Physics, under Nuclear Physics.
What are the units in R = R₀ A¹/³?
In SI units, R is nuclear radius, measured in m; R_0 is radius constant (≈ 1.2 fm), measured in m; A is mass number (protons + neutrons) (dimensionless).
How is the Nuclear Radius formula derived?
Empirically determined from scattering experiments; implies nucleons are incompressible. The result is R = R₀ A¹/³.