An overview over currently available methods for the calculation of NM
R chemical shifts is given. After a brief discussion of the basis aspe
cts, i.e. definition of the shielding tenser and gauge-origin problem
in the calculation of magnetic properties, recently developed methods
for calculating NMR chemical shifts based on electron-correlated quant
um chemical approaches will be discussed. The importance of electron c
orrelation effects for the accurate determination of absolute shieldin
g constants and relative shifts is demonstrated and the accuracy of va
rious approaches assessed by a careful comparison with experiment, bef
ore a few representative applications will be presented. In case of th
e carboranes C2B3H5 and C2B3H7, electron-correlated calculations were
essential to resolve discrepancies between SCF calculations and experi
ment, while for the vinyl-substituted vinyl cations CH2 = C+ - CH = CH
CH3 correlated NMR chemical shift calculations - but not the SCF calcu
lations - allow the unequivocal assignment of the measured C-13 signal
s to the Z and E isomers formed in superacid solutions. Finally, an ou
tlook with respect to pending problems in the area of NMR chemical shi
ft calculations is given.