When a molecule with J coupling (spin-spin coupling) is subjected to a spin-echo sequence, something unique but predictable occurs. Look at what happens to the molecule *A _{2}-C-C-B* where

With a spin-echo sequence this same molecule gives a rather peculiar spectrum once the echo is Fourier transformed. Here is a series of spectra recorded at different TE times. The amplitude of the peaks have been standardized to be all positive when TE=0 ms.

To understand what is happening, consider the magnetization vectors from the *A* nuclei. There are two absorptions lines in the spectrum from the *A* nuclei, one at +J/2 and one at
-J/2. At equilibrium, the magnetization vectors from the
+J/2 and -J/2 lines in the spectrum are both along +Z.

A 90 degree pulse rotates both magnetization vectors into the XY plane.
Assuming a rotating frame of reference at _{o} = , the vectors precess according to their Larmor frequency and dephase due to T_{2}*.
When the 180 degree pulse is applied, it rotates the magnetization vectors by 180 degrees about the X' axis. In addition
the +J/2 and -J/2 magnetization vectors change places because the 180 degree pulse also flips the spin state of the *B* nucleus which is causing the splitting of the *A* spectral lines.

The two groups of vectors will refocus as they evolve at their own Larmor frequency. In this example the precession in the XY plane has been stopped when the vectors have refocussed. You will notice that the two groups of vecotrs do not refocus on the -Y axis. The phase of the two vectors on refocussing varies as a function of TE. This phase varies as a function of TE at a rate equal to the size of the spin-spin coupling frequency. Therefore, measuring this rate of change of phase will give us the size of the spin-spin coupling constant. This is the basis of one type of two-dimensional (2-D) NMR spectroscopy.

This data is Fourier transformed first in the t_{2} direction to give an f_{2} dimension,
and then in the t_{1} direction to give an f_{1} dimension.

Displaying the data as shaded contours, we have the following two-dimensional data set.
Rotating the data by 45 degrees makes the presentation clearer.
The f_{1} dimension gives us J coupling information while the f_{2} dimension gives chemical shift information. This type of experiment is called homonuclear J-Resolved 2-D NMR. There is also heteronuclear J-resolved 2-D NMR which uses a spin echo sequence and techniques similar to those described in
Chapter 9.

Heteronuclear correlated 2-D NMR is also possible and useful.

2-D Experiment (Acronym) | Information | |
---|---|---|

f_{1} | f_{2}
| |

Homonuclear J resolved | ||

Heteronuclear J resolved | _{AX} | _{X} |

Homoculclear correlated spectroscopy (COSY) | _{A} | _{A} |

Heteronuclear correlated spectroscopy (HETCOR) | _{A} | _{X} |

Nuclear Overhauser Effect (2D-NOE) | _{H}, J_{HH} | _{H}, J_{HH} |

2D-INADEQUATE | _{A} +
_{X} | _{X} |

The following table of molecules contains links to their corresponding two-dimensional NMR spectra. The spectra were recorded on a 300 MHz NMR spectrometer with CDCl_{3} as the lock solvent.

Copyright © 1997-99 J.P. Hornak.

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