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Rules Governing the Allowed Combinations of Quantum Numbers

  • The three quantum numbers (n, l, and m) that describe an orbital are integers: 0, 1, 2, 3, and so on.
  • The principal quantum number (n) cannot be zero. The allowed values of n are therefore 1, 2, 3, 4, and so on.
  • The angular quantum number (l) can be any integer between 0 and n - 1. If n = 3, for example, lcan be either 0, 1, or 2.
  • The magnetic quantum number (m) can be any integer between -l and +l. If l = 2, m can be either -2, -1, 0, +1, or +2.
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