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Mass defect

Intermediate

Nuclear mass is less than the sum of the parts.

Key relationΔm = Zm_p+Nm_n−M

The mass of a nucleus is less than the sum of its separate nucleons: Δm = Zm_p + Nm_n − M. The missing mass is the binding energy.

Worked example

Helium-4: Δm = 0.0304 u.

Common mistake

Use nuclear masses, not atomic masses, or correct for electrons.

In more detail

The mass defect is the difference between the mass of a nucleus and the sum of the masses of its separate nucleons. The missing mass corresponds to binding energy through E = mc².

Real-world uses

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Frequently asked questions

Why is the nucleus lighter than its parts?

Because binding energy is released when nucleons join, reducing the total mass.

Where does the mass go?

It becomes binding energy, which is a form of energy.

Why is the nucleus lighter than its parts?

Some of the mass is converted into binding energy when the nucleons are held together.

Related topics in Atomic & Nuclear Physics

Isotopes, isobars, isotones · Nuclear size · Nuclear density · Binding energy · Binding energy per nucleon · Nuclear force

← All Atomic & Nuclear Physics topics