Final answer:
An atom of one element can change into an atom of another through radioactive decay when it is radioactive and emits or absorbs particles, leading to transmutation. This change is unrelated to the atom's stability or whether it is an ion or isotope.
Step-by-step explanation:
The change of an atom of one element into an atom of another element occurs when the atom is radioactive and its nucleus can emit or trap particles. This process is known as radioactive decay and can lead to the transformation of one element into another, a process known as transmutation. Most atomic nuclei that have 84 or more protons are naturally radioactive.
However, elements with less than 84 protons can have both stable and unstable isotopes capable of undergoing nuclear changes. The amount of binding energy per nucleon determines the stability of the nucleus; nuclei with high binding energy are stable, while those with low binding energy may disintegrate in a process known as natural radioactivity. Artificial radioactivity is when scientists cause normally stable nuclei to react by smashing particles together.