NMR  spectroscopy makes it possible to discriminate nuclei, typically protons, in different chemical environments. The  electron  distribution gives rise to a  chemical shift of the  resonance  frequency. The chemical shift, 
, of a  nucleus is expressed in parts per million (ppm) by its frequency, 
n, relative to a standard, 
ref, and defined as 
 = 106 (
n - 
ref)/
o, where 
o is the operating  frequency of the  spectrometer. It is an indication of the chemical  state of the  group containing the  nucleus. More  information is derived from the spin-spin couplings between nuclei, which give rise to multiplet patterns. Greater detail  may be derived from two- or three-dimensional techniques. These use pulses of  radiation at different nuclear frequencies, after which the response of the  spin  system is recorded as a free-induction  decay (FID). Multi-dimensional techniques, such as  COSY and NOESY, make it possible to deduce the structure of a relatively  complex  molecule such as a small protein (molecular weight up to 25 000). In  proteins containing  paramagnetic centres, nuclear hyperfine interactions can give rise to relatively large shifts of resonant frequencies known as  contact and pseudo-contact (dipolar) shifts, and considerable increases in the nuclear  spin  relaxation rates. From this  type of measurement, structural  information can be obtained about the  paramagnetic  s