In the modern quantum–based atomic theory, what is the name given to a particular space around the nucleus in which an electron moves?

The correct answer is: Atomic orbital

Explanation:
In the modern quantum-based atomic theory, an atomic orbital is a mathematical function that is used to explain the wave-like behavior of an electron in an atom. In other words, the space around the nucleus in which an electron moves is expressed by the atomic orbital. Hence, the correct answer is Atomic orbital.