Binding Energy Calculator Formula

Understand the math behind the binding energy calculator. Each variable explained with a worked example.

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Formulas Used

Binding Energy

binding_energy_mev = mass_defect * 931.494

Binding Energy per Nucleon

be_per_nucleon = mass_defect * 931.494 / nucleon_count

Variables

VariableDescriptionDefault
mass_defectMass Defect(u (amu))0.03437
nucleon_countNumber of Nucleons (A)4

How It Works

Nuclear Binding Energy

Binding energy is the energy required to disassemble a nucleus into free protons and neutrons.

Formula

E = delta_m * c²

Using atomic mass units: E (MeV) = delta_m (u) * 931.494 MeV/u

The mass defect delta_m is the difference between the sum of individual nucleon masses and the actual nuclear mass.

Worked Example

Helium-4 nucleus with mass defect 0.03437 u.

mass_defect = 0.03437nucleon_count = 4
  1. 01E = delta_m * 931.494 MeV/u
  2. 02E = 0.03437 * 931.494
  3. 03E = 32.02 MeV
  4. 04E per nucleon = 32.02 / 4 = 8.005 MeV/nucleon

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