Simulator guide

When is an atomic nucleus stable? The proton-neutron ratio and decay

Short answer

An atomic nucleus is made of protons and neutrons. In stable nuclei of light elements, the numbers of protons and neutrons are close. With too many neutrons, β⁻ decay occurs. With too many protons, β⁺ decay occurs. Either way, the nucleus becomes the nucleus of another element. The simulator shows this on a chart of nuclides.

What holds the nucleus together?

The protons in a nucleus are all positive, so they repel each other. But the nucleus does not break apart, because the nuclear force binds the protons and neutrons together. This force acts over very short distances and is much stronger than the electric repulsion. Neutrons have no charge, so they add no repulsion, but they do add nuclear force.

That is why the ratio of protons to neutrons matters. In light elements, the two numbers are close: 6 and 6 in carbon-12, 7 and 7 in nitrogen-14. Heavy elements have more neutrons: iron-56 has 26 protons and 30 neutrons.

Why do nuclei decay?

A nucleus with an unbalanced ratio is unstable and decays over time.

DecayWhat happens in the nucleusProtonsNeutronsMass number
β⁻A neutron becomes a proton, and an electron is emitted+1−1Unchanged
β⁺A proton becomes a neutron, and a positron is emitted−1+1Unchanged
Proton emissionA proton leaves the nucleus−10−1
Neutron emissionA neutron leaves the nucleus0−1−1

For example, carbon-14 becomes nitrogen-14 by β⁻ decay. Its half-life is 5730 years, so it is used to find the age of ancient wood and bone. Oxygen-15 becomes nitrogen-15 by β⁺ decay.

Build a nucleus simulator in the Nalukh chem app: a carbon-12 nucleus, a stable label, a chart of nuclides, and proton and neutron buttons
Carbon-12: 6 protons, 6 neutrons. The orange frame on the chart marks this nucleus.

Build your nucleus in the Nalukh chem app

Add protons and neutrons and see on the chart whether the nucleus is stable. This simulator is included with full access. Downloading is free, and 2 units and 5 simulators are open without signing up.

How do you use the simulator?

  1. Build the nucleus with the + and − buttons in the Proton and Neutron rows of the bottom panel. The simulator starts at carbon-12. You can go up to 10 protons and up to 12 neutrons.
  2. The left side shows a picture of the nucleus, the element name, and the mass number. If there are 0 protons, it says No nucleus.
  3. Read the label under the picture: Stable, β⁻ decay, β⁺ decay, Proton emission, or Neutron emission.
  4. Look at the chart of nuclides on the right. The horizontal axis N is the number of neutrons, and the vertical axis Z is the number of protons. Dark blue cells are stable nuclei, and the other colors show the type of decay. The orange frame marks your nucleus.

Tasks to try in the simulator

  • The simulator does not show decay on its own, so do it by hand. Set 6 protons and 8 neutrons: this is carbon-14, β⁻ decay. Remove one neutron and add one proton. You get nitrogen-14, and the label changes to Stable.
  • Set 6 protons and 5 neutrons: this is carbon-11, β⁺ decay. Remove one proton and add one neutron. You get boron-11, and the label changes to Stable.
  • Count the dark blue cells on the chart. The first 10 elements have 20 stable nuclei.
  • Is a nucleus with equal numbers of protons and neutrons always stable? Set 4 protons and 4 neutrons to check. Beryllium-8 is unstable.

Sources

Related articles

Get Nalukh chem

Free to download. Without an account, 2 units, 5 simulators and the periodic table are open.

Nalukh chemFree to download
Download