Binding Energy per Nucleon Graph (Edexcel International A Level Physics)

Binding Energy per Nucleon Graph

• When comparing the stability of different nuclei, it is useful to look at the binding energy per nucleon

• The binding energy per nucleon is defined as:

  The binding energy of a nucleus divided by the number of nucleons in the nucleus

• A higher binding energy per nucleon indicates a higher stability since it requires more energy to pull the nucleus apart

• Iron (A = 56) has the highest binding energy per nucleon, which makes it the most stable of all the elements

By plotting a graph of binding energy per nucleon against nucleon number, the stability of elements can be inferred

Key Features of the Graph

• At low values of A:

  • Nuclei tend to have a lower binding energy per nucleon, hence, they are generally less stable

  • This means the lightest elements have weaker electrostatic forces and are the most likely to undergo fusion

• Helium (⁴He), carbon (¹²C) and oxygen (¹⁶O) do not fit the trend

  • Helium-4 is a particularly stable nucleus hence it has a high binding energy per nucleon

  • Carbon-12 and oxygen-16 can be considered to be three and four helium nuclei, respectively, bound together

• At high values of A:

  • The general binding energy per nucleon is high and gradually decreases with A

  • This means the heaviest elements are the most unstable and likely to undergo fission