When they contain an excess of neutrons
4 protons and 4 neutrons
radioactive
Positrons
Heavy, i.e. large, nuclei are unstable because their size is such that the attractive strong nuclear force starts to lose out over the repulsive effect of the electromagnetic interaction. The happens because the distance coefficient for the strong nuclear forces drops off more rapidly than does the electromagnetic interaction.
1 proton, 3 neutrons
More neutrons than protons.
70 protons, 98 neutrons
Saeed Mohammadi has written: 'Studies of NZ28 nuclei with stable and radioactive heavy ion beams'
Radioactive isotopes are not stable.
To become stable
4 protons and 4 neutrons
Of course they are more stable, therefore they formed naturally.
even
radioactive
even
Where the nucleus is not in a stable configuration, it may change spontaneously to try to achieve a more stable state. This results in radioactivity of alpha, beta, and gamma types usually, though there are other variations. Also some heavy nuclei such as Uranium 235 and Plutonium 239 are easily fissioned or split when a neutron is captured, because the binding energy of the resulting lighter nuclei is greater than that of the heavy one.
The most stable nuclei are iron and nickel, and that is due to the binding energy per nucleon being greatest in that size of nucleus. As you go to heavier nuclei like uranium for instance, the nucleus gets less stable. (see the related Wikipedia link) Larger atomic nuclei (up to lead) are stable because the repulsive electrostatic force does not decrease with distance as greatly as the strong nuclear force does.