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The meaning of the quantum number m when describing an atomic orbital or energy eigenfunction: It denotes the orientation of the orbital.

What is the significance of orbital quantum number?

It shows the size of the electron's orbital angular momentum around the nucleus. Because they can be used to determine an atom's electron configuration and the likely placement of its electrons, quantum numbers are significant. The ionisation energy and the atomic radius of atoms are two further properties of atoms that can be determined using quantum numbers.

What is the significance of identifying the energy and quantum numbers of the elements?

Because they can be used to determine an atom's electron configuration and the likely placement of its electrons, quantum numbers are significant. The ionisation energy and the atomic radius of atoms are two further properties of atoms that can be determined using quantum numbers.

Each electron's motion and trajectory within an atom are perfectly described by a set of four quantum numbers. A wave function that satisfies the Schrödinger equation can be used to express the sum of all the quantum numbers of all the electrons in an atom. The Pauli Exclusion Principle states that no two electrons in the same atom may share the same combination of four quantum numbers. Each electron in an atom has a distinct set of quantum numbers.

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