quantum numbers

A total of four quantum numbers are used to describe completely the movement and trajectories of each electron within an atom. The combination of all quantum numbers of all electrons in an atom is described by a wavefunction that complies with the Schrodinger equation. Each electron in an atom has a unique set of quantum numbers; according to the Pauli Exclusion principle, no two electrons can share the same combination of four quantum numbers. Quantum numbers are important because they can be used to determine the electron configuration of an atom and the probable location of the atom's electrons. Quantum numbers are also used to understand other characteristics of atoms, such as ionization energy and the atomic radius.

• Principle quantum number, \[n\]
  
• Azimuthal quantum number, \[\ell\]
  
• Magnetic quantum number, \[m_{\ell}\]
  
• Spin Magnetic quantum number, \[m_{s}\]
  

Relation between quantum numbers and atomic orbitals: