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  1. Glossary
  2. /Chemistry
  3. /Quantum Numbers

What are Quantum Numbers?

In short

Quantum numbers are four numbers that describe an electron in an atom: its shell, its subshell, its orbital and its spin.

In simple words

The principal quantum number n=1,2,3,…n = 1, 2, 3, \dotsn=1,2,3,… gives the shell and its size. The azimuthal number l=0l = 0l=0 to n−1n-1n−1 gives the subshell shape (sss, ppp, ddd, fff for l=0,1,2,3l = 0, 1, 2, 3l=0,1,2,3). The magnetic number mlm_lml​ runs from −l-l−l to +l+l+l and gives the orbital. The spin number msm_sms​ is ±12\pm\tfrac{1}{2}±21​.

Example

For n=3n = 3n=3 the allowed values of lll are 000, 111 and 222, so there are three subshells, 3s3s3s, 3p3p3p and 3d3d3d, holding 2+6+10=182 + 6 + 10 = 182+6+10=18 electrons.

Learn it properly

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Related terms

  • Pauli Exclusion Principle
  • Bohr Model of the Atom

← All glossary terms

Learn it in

  1. The Quantum Model and Electron ConfigurationsClass 11 to 12
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Practise

  1. For a hydrogen-like ion of nuclear charge Z, write σ = Zr/a₀, where r is the distance…Advanced
  2. In the Bohr model, the orbit n of a hydrogen-like ion has radius rn = 52.9 n²/Z pm, the…Hard
  3. Use the (n + l) rule to put the orbitals 7s, 5f, 6d, 7p and 4f in the order in which…Medium
In a hydrogen atom, the 3s, 3p and 3d orbitals have the same energy…Medium
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Quick questions

  1. For the 2s orbital of a hydrogen atom, ψ ∝ (2 - r/a₀)e^(-r/2a₀), where a₀ = 52.9 pm. The…Advanced
  2. A krypton atom (Z = 36) is in its ground state, 1s² 2s² 2p⁶ 3s² 3p⁶ 3d¹⁰ 4s² 4p⁶. Each…Advanced
  3. A photon and an electron both have a wavelength of 100 pm. The electron moves much…Hard

More Chemistry terms

  1. Acids, Bases and pH
  2. Alkane (Saturated Hydrocarbon)
  3. Allotrope
  4. Atom
  5. Catalyst
  6. Chemical Formulae and Equations
All Chemistry terms →

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