Question

explain. the quantum numbers with suitable examples in an atom​

Answer 1

Quantum numbers describe values of conserved quantities in the dynamics of a quantum system. In the case of electrons, the quantum numbers can be defined as "the sets of numerical values which give acceptable solutions to the Schrödinger wave equation for the hydrogen atom". In more general cases, quantum numbers correspond to eigenvalues of operators that commute •

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Answer 2

Explanation:

Rules

Name Symbol Value examples

Principal quantum number n n = 1, 2, 3, …

Azimuthal quantum number (angular momentum) ℓ for n = 3: ℓ = 0, 1, 2 (s, p, d)

Magnetic quantum number (projection of angular momentum) mℓ for ℓ = 2: mℓ = −2, −1, 0, 1, 2

Spin quantum number ms for an electron s = 12, so ms = −12, +12