Quantum Number Calculator

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The shell number: 1 = K, 2 = L, 3 = M, 4 = N, ... Must be a positive integer.
Choose whether to view all subshells for n or zoom in on one specific subshell.
Orbitals in shellValid quantum state
9

Total orbitals = n^2

Max electrons in shell18
Subshells in shell3
Subshell names3s, 3p, 3d
Azimuthal (l) range0 to 2
Spin (ms) values+1/2 (up), -1/2 (down)
Shell letterM
ValidationValid shell: n=3 (M shell). 3 subshells, 9 orbitals, up to 18 electrons.
Orbitals9
Max electrons18
Subshells3

Shell n=3: 9 orbitals, up to 18 electrons.

  • Shell n=3 (M shell) has 3 subshells, 9 orbitals, and can hold up to 18 electrons.
  • The subshells in this shell are: 3s (1 orbital), 3p (3 orbitals), 3d (5 orbitals).
  • Each orbital holds exactly 2 electrons with opposite spins (ms = +1/2 and ms = -1/2), as required by the Pauli Exclusion Principle.

Next stepShell n=3 corresponds to the M shell. Use the subshell mode above to explore a specific l value and see the ml combinations and angular momentum.

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