The basic principle and applications of generalised two-dimensional (2D) near infrared (NIR) correlation spectroscopy are reviewed in this paper. A brief history and the basic principle of 2D correlation spectroscopy are described first, and then its importance for NIR spectroscopy is discussed. An outline of the mathematical treatment of generalised 2D correlation spectroscopy is given. Several examples of generalised 2D NIR and 2D NIR-mid IR (MIR) heterospectral correlation analysis are introduced.
IntroductionThe basic concept of two-dimensional (2D) correlation analysis was born in NMR spectroscopy about twenty years ago. 1-4 Nowadays, 2D analysis is one of the most important analytical methods in NMR. The idea that by spreading spectral peaks over the second dimension one can simplify the visualisation of complex spectra consisting of many overlapped bands has been expanded to a broader range of spectroscopic measurements. In 1986 Noda 5-7 proposed 2D mid infrared (MIR) correlation spectroscopy. In this 2D MIR, a system is excited by an external perturbation, which induces a dynamic fluctuation of the MIR spectrum. Unlike the timedomain double Fourier transform (FT) methods based on multiple-pulse excitation employed in 2D NMR, 1-4 a simple cross-correlation analysis was applied to sinusoidally varying dynamic MIR signals to obtain a set of 2D MIR correlation spectra. 5-7 Since such dynamic 2D correlation spectra are powerful in emphasising spectral features not readily observable in conventional one-dimensional spectra, 2D MIR spectroscopy has been successful in the investigations of systems stimulated by a smallamplitude mechanical or electrical perturbation. One can find many examples of the applications of 2D MIR correlation spectroscopy in the studies of polymers and biological molecules. [8][9][10][11][12][13][14][15][16][17] However, this previously developed approach had one major disadvantage; the time-dependent behaviour (i.e. waveform) of dynamic spectral intensity variations must be a simple sinusoid in order effectively to employ the original data analysis scheme. 5-7 Therefore, in 1993 Noda 18 presented a more generally applicable, yet reasonably simple, mathematical formalism to construct 2D correlation spectra from any transient or time-resolved spectra having an arbitrary waveform. He named the new 2D correlation spectroscopy as generalised 2D correlation spectroscopy. [18][19][20] The newly proposed 2D correlation spectroscopy is applicable to various types of spectroscopy, including near infrared (NIR) and Raman spectroscopy.The purpose of this review paper is to introduce the principle, advantages and applications of generalised 2D correlation spectroscopy. The examples of the applications are selected from studies by 2D NIR spectroscopy.