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Nuclear shell model

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Magic numbers show extra stability.

Nucleons fill energy shells; closed shells at magic numbers 2, 8, 20, 28, 50, 82, 126 give extra stability.

Worked example

Helium-4 and lead-208 are doubly magic.

Common mistake

Explains abundance and spin of nuclei.

In more detail

The nuclear shell model explains nuclear stability and magic numbers, where nucleons fill complete shells. Nuclei with magic numbers are especially stable.

Real-world uses

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Frequently asked questions

What are magic numbers?

Numbers of protons or neutrons, such as 2, 8, 20, 28, 50, 82 and 126, that give full shells.

Why is the shell model like atoms?

Because nucleons also occupy quantised energy levels, similar to electrons.

What are magic numbers?

Numbers of protons or neutrons, such as 2, 8, 20 and 50, at which nuclei are especially stable.

Related topics in Atomic & Nuclear Physics

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