The electric field gradient, a 1‐electron operator, is discussed in relation to electronic structure calculations. For atoms which have spin
$> 1/2$
, this property leads to the spectroscopically important effect of nuclear quadrupole coupling. These second rank tensor elements are present in diverse spectral determinations, and yield important information concerning the electron distribution in the molecule under study. The nature of the phenomenon is discussed in relation to both atomic and molecular structure, and the results of many studies in vapour, liquid and solid state investigations are given.