ABSTRACT

The time and frequency domains can be related to each other by a mathematical function called the Fourier transform. Applied to the time-domain free induction decay (FID), which represents system response as a function of time, a Fourier transformation (FT) will generate a frequency-domain spectrum, that is, the system response as a function of frequency. Typically, multiple nuclei of the same type but with different chemical shifts are observed in Nuclear magnetic resonance (NMR) experiment. In multidimensional NMR experiments, acquisition time is often at a premium, and it may be necessary to cut acquisition times so that the completely decayed signals are not acquired. Instead, acquisition is truncated before the signal is completely decayed. The frequency domain spectra produced by the Fourier transformation contain components of two different types of line shape. One, the absorptive line shape, is one sign at all values, and is essentially the Lorentzian line. The other line shape is dispersive.