Term symbol

In <a href="/facts/Atomic_physics/7Jlm4I7k">atomic physics</a>, a term symbol is an abbreviated description of the total spin and orbital <a href="/facts/Angular_momentum_quantum_number/vHSIzbFC">angular momentum quantum numbers</a> of the electrons in a multi-electron <a href="/facts/Atom/FoQ4kGN5">atom</a>. So while the word symbol suggests otherwise, it represents an actual value of a <a href="/facts/Physical_quantity/S8pWBEpK">physical quantity</a>.
For a given <a href="/facts/Electron_configuration/TQjRr22P">electron configuration</a> of an atom, its state depends also on its total angular momentum, including spin and orbital components, which are specified by the term symbol. The usual atomic term symbols assume <a href="/facts/Angular_momentum_coupling/xsfw1hBG">LS coupling</a> (also known as Russell–Saunders coupling) in which the all-electron total quantum numbers for orbital (L), spin (S) and total (J) angular momenta are <a href="/facts/Good_quantum_number/HuBnjFsl">good quantum numbers</a>.
In the terminology of <a href="/facts/Atomic_spectroscopy/wWffh016">atomic spectroscopy</a>, L and S together specify a term; L, S, and J specify a level; and L, S, J and the magnetic quantum number MJ specify a state. The conventional term symbol has the form 2S+1LJ, where J is written optionally in order to specify a level. L is written using <a href="/facts/Spectroscopic_notation/0SdYQxLy">spectroscopic notation</a>: for example, it is written "S", "P", "D", or "F" to represent L = 0, 1, 2, or 3 respectively. For coupling schemes other that LS coupling, such as the <a href="/facts/Angular_momentum_coupling/xsfw1hBG">jj coupling</a> that applies to some heavy elements, other notations are used to specify the term.
Term symbols apply to both neutral and charged atoms, and to their ground and excited states. Term symbols usually specify the total for all electrons in an atom, but are sometimes used to describe electrons in a given <a href="/facts/Electron_shell/QxI30eh9">subshell</a> or set of subshells, for example to describe each <a href="/facts/Electron_configuration/TQjRr22P">open subshell</a> in an atom having more than one. The <a href="/facts/Ground_state/ML7cfCug">ground state</a> term symbol for neutral atoms is described, in most cases, by <a href="/facts/List_of_Hund%2527s_rules/pyyb3f6a">Hund's rules</a>. Neutral atoms of the chemical elements have the same term symbol for each column in the <a href="/facts/Block_(periodic_table)/BbzD5jUU">s-block and p-block</a> elements, but differ in d-block and f-block elements where the ground-state electron configuration changes within a column, where exceptions to Hund's rules occur. Ground state term symbols for the chemical elements are given below.
Term symbols are also used to describe angular momentum quantum numbers for <a href="/facts/Nuclear_shell_model/1Qgep495">atomic nuclei</a> and for molecules. For <a href="/facts/Molecular_term_symbol/plQdFUQX">molecular term symbols</a>, Greek letters are used to designate the component of orbital angular momenta along the molecular axis.
The use of the word term for an atom's electronic state is based on the <a href="/facts/Rydberg%25E2%2580%2593Ritz_combination_principle/JTlkNlUU">Rydberg–Ritz combination principle</a>, an empirical observation that the wavenumbers of spectral lines can be expressed as the difference of two terms. This was later summarized by the <a href="/facts/Bohr_model/FmTHjaxy">Bohr model</a>, which identified the terms with quantized energy levels, and the spectral wavenumbers of these levels with photon energies.
Tables of atomic energy levels identified by their term symbols are available for atoms and ions in ground and excited states from the <a href="/facts/National_Institute_of_Standards_and_Technology/gr9Fnh85">National Institute of Standards and Technology</a> (NIST).

Term symbol open-in-new

Term symbol