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US4766377A
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Phase correction method in two-dimensional NMR spectroscopy
Assignee: Jeol Ltd
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Filing: 1987-10-20
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Granted: 1988-08-23
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Expires: 2007-10-20
Abstract
Abstract There is disclosed a method of precisely correcting the phase of a two-dimensional NMR spectrum along the two axes. First, a first phase train is applied to a sample. After an evolution period of t 1 , a second pulse train is applied. Then, the free induction decay signal emanating from the sample is detected during a detection period of t 2 , using a quadrature detection system. This process is repeated with different values of t 1 . Thus, a complex NMR spectrum S 1 (t 1 , t 2 ) is obtained. Subsequently, the sample is excited with a pulse sequence which is similar to the first-mentioned pulse sequence except that the second pulse is shifted in phase by 90°/n (n is a natural number) with respect to the second pulse of the first-mentioned pulse sequence. The resulting free induction decay signal is detected. This process is repeated with the same number of different values of t 1 as the values of t 1 used in the first set of measurements. Thus, a complex NMR spectrum S 2 (t 1 , t 2 ) is derived. The spectra S 1 (t 1 , t.sub. 2) and S 2 (t 1 , t 2 ) are subjected to complex Fourier transformation with respect to the axis t 2 . Then, the imaginary part of S 1 (t 1 , F 2 ) and the real part of S 2 (t 1 , F 2 ) are interchanged to give rise to Fourier-transformed spectra S 1 '(t 1 , F 2 ) and S 2 '(t 1 , F 2 ), which are then subjected to complex Fourier transformation with respect to the axis t 1 . The phase is corrected along one of the axes. The imaginary part of S 1 '(F 1 , F 2 ) and the real part of S 2 (F 1 , F 2 ) are interchanged. Then, the phase is corrected along the other axis.
Inventors
- 👤 Muneki Ohuchi
- 👤 Soukichi Uchida
Bibliographic Details
Application Number
—
Jurisdiction
US
Data Source
google_patents
Last Synchronized
2026-11-09 01:38
CPC Classifications
G; G01; G01R; G01R33/00; G01R33/20; G01R33/44; G01R33/46; G01R33/4633; G01R33/4625
Claims Analysis
Total Claims: 6
Claim 1
Independent Claim
381 words
A method of correcting the phase of a two-dimensional NMR spectrum, comprising the steps of: applying a first pulse or pulse train to a sample; applying a second pulse or pulse train to the sample when an evolution period of t 1 elapses after the application of the first pulse or pulse train; then detecting the free induction decay signal emanating from the sample during a detection period of t 2 , using a quadrature detection system; repeating the above process with different values of t 1 to obtain a complex NMR spectrum S 1 (t 1 , t 2 ); exciting the sample with a pulse sequence which is similar to the first-mentioned pulse sequence except that the second pulse or pulse train of this sequence is shifted in phase by 90°/n wherein n is a natural number, with respect to the second pulse or pulse train of the first-mentioned pulse sequence; detecting the resulting free induction decay signal; repeating this process with the same number of values of t 1 as the first-mentioned values of t 1 to obtain a complex NMR spectrum S 2 (t 1 , t 2 ); subjecting the spectra S 1 (t 1 , t 2 ) and S 2 (t 1 , t 2 ) to complex Fourier transformation with respect to the axis t 2 to obtain spectra S 1 (t 1 , F 2 ) and S 2 (t 1 , F 2 ) interchanging the imaginary part of S 1 (t 1 , F 2 ) and the real part of S 2 (t 1 , F 2 ) to give rise to S 1 '(t 1 , F 2 ) and S 2 '(t 1 , F 2 ); subjecting S 1 '(t 1 , F 2 ) and S 2 '(t 1 , F 2 ) to complex Fourier transformation with respect to the axis t 1 to obtain S 1 '(F 1 , F 2 ) and S 2 '(F 1 , F 2 ); correcting the phase along one of the axes; interchanging the imaginary part of S 1 '(F 1 , F 2 ) and the real part of S 2 '(F 1 , F 2 ); and correcting the phase along the other axis.
Claim 2
Independent Claim
381 words
A method of correcting the phase of a two-dimensional NMR spectrum, comprising the steps of: applying a first pulse or pulse train to a sample; applying a second pulse or pulse train to the sample when an evolution period of t 1 elapses after the application of the first pulse or pulse train; then detecting the free induction decay signal emanating from the sample during a detection period of t 2 , using a quadrature detection system; repeating the above process with different values of t 1 to obtain a complex NMR spectrum S 1 (t 1 , t 2 ); exciting the sample with a pulse sequence which is similar to the first-mentioned pulse sequence except that the second pulse or pulse train of this sequence is shifted in phase by 90°/n wherein n is a natural number, with respect to the second pulse or pulse train of the first-mentioned pulse sequence; detecting the resulting free induction decay signal; repeating this process with the same number of values of t 1 as the first-mentioned values of t 1 to obtain a complex NMR spectrum S 2 (t 1 , t 2 ); subjecting the spectra S 1 (t 1 , t 2 ) and S 2 (t 1 , t 2 ) to complex Fourier transformation with respect to the axis t 2 to obtain spectra S 1 (t 1 , F 2 ) and S 2 (t 1 , F 2 ) interchanging the imaginary part of S 1 (t 1 , F 2 ) and the real part of S 2 (t 1 , F 2 ) to give rise to S 1 '(t 1 , F 2 ) and S 2 '(t 1 , F 2 ); subjecting S 1 '(t 1 , F 2 ) and S 2 '(t 1 , F 2 ) to complex Fourier transformation with respect to the axis t 1 to obtain S 1 '(F 1 , F 2 ) and S 2 '(F 1 , F 2 ); correcting the phase along one of the axes; interchanging the imaginary part of S 1 '(F 1 , F 2 ) and the real part of S 2 '(F 1 , F 2 ); and correcting the phase along the other axis.
Claim 3
Independent Claim
378 words
A method of correcting the phase of a two-dimensional NMR spectrum, comprising the steps of: applying a first pulse or pulse train to a sample; applying a second pulse or pulse train to the sample when an evolution period of t 1 elapses after the application of the first pulse or pulse train; then detecting the free induction decay signal emanating from the sample during a detection period of t 2 , using a quadrature detection system; repeating the above process with different values of t 1 to obtain a complex NMR spectrum S x (t 1 , t 2 ); exciting the sample with a pulse sequence which is similar to the aforementioned pulse sequence except that the second pulse or pulse train of this sequence is shifted in phase by 90° with respect to the second pulse or pulse train of the first-mentioned pulse train; detecting the resulting free induction decay signal; repeating this process with the same number of values of t 1 as the first-mentioned values of t 1 to obtain a complex NMR spectrum S y (t 1 , t 2 ); subjecting the spectra S x (t 1 , t 2 ) and S y (t 1 , t 2 ) to complex Fourier transformation with respect to the axis t 2 to obtain spectra S x (t 1 , F 2 ) and S y (t 1 , F 2 ); interchanging the imaginary part of S x (t 1 , F 2 ) and the real part of S y (t 1 , F 2 ) to give rise to S x '(t 1 , F 2 ) and S y '(t 1 , F 2 ); subjecting S x '(t 1 , F 2 ) and S y '(t 1 , F 2 ) to complex Fourier transformation with respect to the axis t 1 to obtain S x '(F 1 , F 2 ) and S y '(F 1 , F 2 ); correcting the phase along the axis F 1 ; interchanging the imaginary part of S x '(F 1 , F 2 ) and the real part of S y '(F 1 , F 2 ); and correcting the phase along the axis F 2 .
Claim 4
Independent Claim
378 words
A method of correcting the phase of a two-dimensional NMR spectrum, comprising the steps of: applying a first pulse or pulse train to a sample; applying a second pulse or pulse train to the sample when an evolution period of t 1 elapses after the application of the first pulse or pulse train; then detecting the free induction decay signal emanating from the sample during a detection period of t 2 , using a quadrature detection system; repeating the above process with different values of t 1 to obtain a complex NMR spectrum S x (t 1 , t 2 ); exciting the sample with a pulse sequence which is similar to the aforementioned pulse sequence except that the second pulse or pulse train of this sequence is shifted in phase by 90° with respect to the second pulse or pulse train of the first-mentioned pulse train; detecting the resulting free induction decay signal; repeating this process with the same number of values of t 1 as the first-mentioned values of t 1 to obtain a complex NMR spectrum S y (t 1 , t 2 ); subjecting the spectra S x (t 1 , t 2 ) and S y (t 1 , t 2 ) to complex Fourier transformation with respect to the axis t 2 to obtain spectra S x (t 1 , F 2 ) and S y (t 1 , F 2 ); interchanging the imaginary part of S x (t 1 , F 2 ) and the real part of S y (t 1 , F 2 ) to give rise to S x '(t 1 , F 2 ) and S y '(t 1 , F 2 ); subjecting S x '(t 1 , F 2 ) and S y '(t 1 , F 2 ) to complex Fourier transformation with respect to the axis t 1 to obtain S x '(F 1 , F 2 ) and S y '(F 1 , F 2 ); correcting the phase along the axis F 1 ; interchanging the imaginary part of S x '(F 1 , F 2 ) and the real part of S y '(F 1 , F 2 ); and correcting the phase along the axis F 2 .
Claim 5
Independent Claim
425 words
A method of correcting the phase of a two-dimensional NMR spectrum, comprising the steps of: applying a first pulse or pulse train to a sample; applying a second pulse or pulse train to the sample when a evolution period of t 1 elapses after the application of the first pulse or pulse train; then detecting the free induction decay signal emanating from the sample during a detection period of t 2 , using a quadrature detection system; repeating the above process with different values of t 1 to obtain a complex NMR spectrum S x (t 1 , t 2 ); exciting the sample with a pulse sequence which is similar to the aforementioned pulse sequence except that the second pulse or pulse train of this sequence is shifted in phase by 90° with respect to the second pulse or pulse train of the first-mentioned pulse sequence; detecting the resulting free induction decay signal; repeating this process with the same number of values of t 1 as the first-mentioned values of t 1 to obtain a complex NMR spectrum S y (t 1 , t 2 ); subjecting the spectra S x (t 1 , t 2 ) and S y (t 1 , t 2 ) to complex Fourier transformation with respect to the axis t 2 to obtain spectra S x (t 1 , F 2 ) and S y (t 1 , F 2 ); interchanging the imaginary part of S x (t 1 , F 2 ) and the real part of S y (t 1 , F 2 ) to give rise to S x '(t 1 , F 2 ) and S y '(t 1 , F 2 ); subjecting S x '(t 1 , F 2 ) and S y '(t 1 , F 2 ) to complex Fourier transformation with respect to the axis t 1 to obtain S x '(F 1 , F 2 ) and S y '(F 1 , F 2 ); interchanging the imaginary part of S x '(F 1 , F 2 ) and the real part of S y '(F 1 , F 2 ) to give rise to S x (F 1 , F 2 ) and S y (F 1 , F 2 ); correcting the phase along the axis F 2 ; interchanging the imaginary part of S x '(F 1 , F 2 ) and the real part of S y '(F 1 , F 2 ); and correcting the phase along the axis F 1 .
Claim 6
Independent Claim
425 words
A method of correcting the phase of a two-dimensional NMR spectrum, comprising the steps of: applying a first pulse or pulse train to a sample; applying a second pulse or pulse train to the sample when a evolution period of t 1 elapses after the application of the first pulse or pulse train; then detecting the free induction decay signal emanating from the sample during a detection period of t 2 , using a quadrature detection system; repeating the above process with different values of t 1 to obtain a complex NMR spectrum S x (t 1 , t 2 ); exciting the sample with a pulse sequence which is similar to the aforementioned pulse sequence except that the second pulse or pulse train of this sequence is shifted in phase by 90° with respect to the second pulse or pulse train of the first-mentioned pulse sequence; detecting the resulting free induction decay signal; repeating this process with the same number of values of t 1 as the first-mentioned values of t 1 to obtain a complex NMR spectrum S y (t 1 , t 2 ); subjecting the spectra S x (t 1 , t 2 ) and S y (t 1 , t 2 ) to complex Fourier transformation with respect to the axis t 2 to obtain spectra S x (t 1 , F 2 ) and S y (t 1 , F 2 ); interchanging the imaginary part of S x (t 1 , F 2 ) and the real part of S y (t 1 , F 2 ) to give rise to S x '(t 1 , F 2 ) and S y '(t 1 , F 2 ); subjecting S x '(t 1 , F 2 ) and S y '(t 1 , F 2 ) to complex Fourier transformation with respect to the axis t 1 to obtain S x '(F 1 , F 2 ) and S y '(F 1 , F 2 ); interchanging the imaginary part of S x '(F 1 , F 2 ) and the real part of S y '(F 1 , F 2 ) to give rise to S x (F 1 , F 2 ) and S y (F 1 , F 2 ); correcting the phase along the axis F 2 ; interchanging the imaginary part of S x '(F 1 , F 2 ) and the real part of S y '(F 1 , F 2 ); and correcting the phase along the axis F 1 .
References Cited (Backward Citations)
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