What is meant by radial wave function and angular wave function?

Question: What is meant by radial wave function and angular wave function?

In quantum mechanics, the radial wave function describes the probability of finding an electron at a certain distance from the nucleus, while the angular wave function gives the probability distribution of the electron in various directions around the nucleus. Together, they form the complete wave function of an electron in an atom, which is a solution to the Schrödinger equation. The radial part depends on the principal quantum number and the angular momentum quantum number, defining the size and energy of the electron's orbital. The angular part, on the other hand, is determined by the magnetic quantum number, influencing the shape and orientation of the orbital.

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