Three-dimensional NMR spectroscopy

A three-dimensional nuclear magnetic resonance spectroscopy comprising the steps of:

• (a) applying a first 90.degree.-pulse to a sample containing gyromagnetic resonators after the lapse of a given preparation period;
• (b) applying a second 90.degree.-pulse to the sample after the lapse of an evolution period of t.sub.1 that follows the application of the first 90.degree.-pulse;
• (c) applying a 180.degree.-pulse to the sample at the middle of a mixing period of .tau..sub.m that follows the application of the second 90.degree.-pulse and applying a third 90.degree.-pulse to the sample after the mixing period of .tau..sub.m ;
• (d) detecting the free induction decay signal emanating from the resonators during a detection period of t.sub.2 that follows the application of the third 90.degree.-pulse and storing the obtained data in a memory;
• (e) carrying out the steps (a)-(d) while systematically varying the length t.sub.1 of the evolution period and the RF phases .phi. of the first 90.degree.-pulse, the second 90.degree.-pulse, and the 180.degree.-pulse, obtaining the sum S (t.sub.1, t.sub.2, .phi.) of the resulting free induction decay signals, and storing the data in the memory;
• (f) taking the complex Fourier transform of the data S (t.sub.1, t.sub.2, .phi.) with respect to t.sub.2 ;
• (g) taking the complex Fourier transform of the transformed data S (t.sub.1, .omega..sub.2, .phi.) with respect to t.sub.1 ;
• and
• (h) taking the cosine Fourier transform of the transformed data S (.omega..sub.1, .omega..sub.2, .phi.) with respect to .phi. to obtain a spectrum S (.omega..sub.1, .omega..sub.2, p).

A three-dimensional nuclear magnetic resonance spectroscopy comprising the steps of:

• (a) applying a first 90.degree.-pulse to a sample containing gyromagnetic resonators after the lapse of a given preparation period;
• (b) applying a second 90.degree.-pulse to the sample after the lapse of an evolution period of t.sub.1 that follows the application of the first 90.degree.-pulse;
• (c) applying a 180.degree.-pulse to the sample at the middle of a mixing period of t.sub.3 after the application of the second 90.degree.-pulse and applying a third 90.degree.-pulse to the sample after the mixing period of t.sub.3 ;
• (d) detecting the free induction decay signal emanating from the resonators during a detection period of t.sub.2 that follows the application of the third 90.degree.-pulse and storing the obtained data in a memory;
• (e) carrying out the steps (a)-(d) while systematically varying the length t.sub.1 of the evolution period and the length t.sub.3 of the mixing period and obtaining the sum S (t.sub.1, t.sub.2, t.sub.3) of the resulting free induction decay signals;
• (f) taking the complex Fourier transform of the data S (t.sub.1, t.sub.2, t.sub.3) with respect to t.sub.2 ;
• (g) taking the complex Fourier transform of the transformed data S (t.sub.1, .omega..sub.2, t.sub.3) with respect to t.sub.1 ;
• and
• (h) taking the cosine Fourier transform of the transformed data S (.omega..sub.1, .omega..sub.2, t.sub.3) with respect to t.sub.3 to obtain a spectrum S (.omega..sub.1, .omega..sub.2, J).