Nuclear Spin-Waves, Multiple Quantum NMR, and the Benzene Ring
Abstract In the description of multiple quantum NMR spectra of spin $${\raise0.7ex\hbox{$1$} \!\mathord{\left/ {\vphantom {1 2}}\right.\kern-\nulldelimiterspace}\!\lower0.7ex\hbox{$2$}}$$ coupled nuclear spin systems, the interpretation is greatly simplified by subdividing the Hamiltonian ℋ (=$ ℋ_{1...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Bowden, G.J. [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2002 |
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| Schlagwörter: |
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| Anmerkung: |
© Plenum Publishing Corporation 2002 |
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| Übergeordnetes Werk: |
Enthalten in: Journal of mathematical chemistry - Kluwer Academic Publishers-Plenum Publishers, 1987, 31(2002), 4 vom: Mai, Seite 363-370 |
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| Übergeordnetes Werk: |
volume:31 ; year:2002 ; number:4 ; month:05 ; pages:363-370 |
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| DOI / URN: |
10.1023/A:1021068521256 |
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OLC2060405173 |
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| 520 | |a Abstract In the description of multiple quantum NMR spectra of spin $${\raise0.7ex\hbox{$1$} \!\mathord{\left/ {\vphantom {1 2}}\right.\kern-\nulldelimiterspace}\!\lower0.7ex\hbox{$2$}}$$ coupled nuclear spin systems, the interpretation is greatly simplified by subdividing the Hamiltonian ℋ (=$ ℋ_{1} $+$ ℋ_{2} $), where $ ℋ_{1} $ is a suitable combination of the constants of the motion. In this paper, a useful connection is established between (i) the discrete Fourier transform, (ii) the Bloch theorem for translationally invariant systems, and (iii) the nuclear spin dynamics of the benzene ring. In particular, it is shown that multiple quantum NMR experiments, performed at room temperature, can be used to probe the nuclear spin-wave excitations (∼$ 10^{−7} $ K) of the benzene ring. | ||
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10.1023/A:1021068521256 doi (DE-627)OLC2060405173 (DE-He213)A:1021068521256-p DE-627 ger DE-627 rakwb eng 510 540 VZ Bowden, G.J. verfasserin aut Nuclear Spin-Waves, Multiple Quantum NMR, and the Benzene Ring 2002 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Plenum Publishing Corporation 2002 Abstract In the description of multiple quantum NMR spectra of spin $${\raise0.7ex\hbox{$1$} \!\mathord{\left/ {\vphantom {1 2}}\right.\kern-\nulldelimiterspace}\!\lower0.7ex\hbox{$2$}}$$ coupled nuclear spin systems, the interpretation is greatly simplified by subdividing the Hamiltonian ℋ (=$ ℋ_{1} $+$ ℋ_{2} $), where $ ℋ_{1} $ is a suitable combination of the constants of the motion. In this paper, a useful connection is established between (i) the discrete Fourier transform, (ii) the Bloch theorem for translationally invariant systems, and (iii) the nuclear spin dynamics of the benzene ring. In particular, it is shown that multiple quantum NMR experiments, performed at room temperature, can be used to probe the nuclear spin-wave excitations (∼$ 10^{−7} $ K) of the benzene ring. Physical Chemistry Fourier Benzene Fourier Transform Benzene Ring Enthalten in Journal of mathematical chemistry Kluwer Academic Publishers-Plenum Publishers, 1987 31(2002), 4 vom: Mai, Seite 363-370 (DE-627)129246441 (DE-600)59132-4 (DE-576)27906036X 0259-9791 nnns volume:31 year:2002 number:4 month:05 pages:363-370 https://doi.org/10.1023/A:1021068521256 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-CHE SSG-OLC-MAT SSG-OLC-PHA SSG-OLC-DE-84 SSG-OPC-MAT GBV_ILN_11 GBV_ILN_40 GBV_ILN_70 GBV_ILN_2409 GBV_ILN_4012 AR 31 2002 4 05 363-370 |
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10.1023/A:1021068521256 doi (DE-627)OLC2060405173 (DE-He213)A:1021068521256-p DE-627 ger DE-627 rakwb eng 510 540 VZ Bowden, G.J. verfasserin aut Nuclear Spin-Waves, Multiple Quantum NMR, and the Benzene Ring 2002 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Plenum Publishing Corporation 2002 Abstract In the description of multiple quantum NMR spectra of spin $${\raise0.7ex\hbox{$1$} \!\mathord{\left/ {\vphantom {1 2}}\right.\kern-\nulldelimiterspace}\!\lower0.7ex\hbox{$2$}}$$ coupled nuclear spin systems, the interpretation is greatly simplified by subdividing the Hamiltonian ℋ (=$ ℋ_{1} $+$ ℋ_{2} $), where $ ℋ_{1} $ is a suitable combination of the constants of the motion. In this paper, a useful connection is established between (i) the discrete Fourier transform, (ii) the Bloch theorem for translationally invariant systems, and (iii) the nuclear spin dynamics of the benzene ring. In particular, it is shown that multiple quantum NMR experiments, performed at room temperature, can be used to probe the nuclear spin-wave excitations (∼$ 10^{−7} $ K) of the benzene ring. Physical Chemistry Fourier Benzene Fourier Transform Benzene Ring Enthalten in Journal of mathematical chemistry Kluwer Academic Publishers-Plenum Publishers, 1987 31(2002), 4 vom: Mai, Seite 363-370 (DE-627)129246441 (DE-600)59132-4 (DE-576)27906036X 0259-9791 nnns volume:31 year:2002 number:4 month:05 pages:363-370 https://doi.org/10.1023/A:1021068521256 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-CHE SSG-OLC-MAT SSG-OLC-PHA SSG-OLC-DE-84 SSG-OPC-MAT GBV_ILN_11 GBV_ILN_40 GBV_ILN_70 GBV_ILN_2409 GBV_ILN_4012 AR 31 2002 4 05 363-370 |
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10.1023/A:1021068521256 doi (DE-627)OLC2060405173 (DE-He213)A:1021068521256-p DE-627 ger DE-627 rakwb eng 510 540 VZ Bowden, G.J. verfasserin aut Nuclear Spin-Waves, Multiple Quantum NMR, and the Benzene Ring 2002 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Plenum Publishing Corporation 2002 Abstract In the description of multiple quantum NMR spectra of spin $${\raise0.7ex\hbox{$1$} \!\mathord{\left/ {\vphantom {1 2}}\right.\kern-\nulldelimiterspace}\!\lower0.7ex\hbox{$2$}}$$ coupled nuclear spin systems, the interpretation is greatly simplified by subdividing the Hamiltonian ℋ (=$ ℋ_{1} $+$ ℋ_{2} $), where $ ℋ_{1} $ is a suitable combination of the constants of the motion. In this paper, a useful connection is established between (i) the discrete Fourier transform, (ii) the Bloch theorem for translationally invariant systems, and (iii) the nuclear spin dynamics of the benzene ring. In particular, it is shown that multiple quantum NMR experiments, performed at room temperature, can be used to probe the nuclear spin-wave excitations (∼$ 10^{−7} $ K) of the benzene ring. Physical Chemistry Fourier Benzene Fourier Transform Benzene Ring Enthalten in Journal of mathematical chemistry Kluwer Academic Publishers-Plenum Publishers, 1987 31(2002), 4 vom: Mai, Seite 363-370 (DE-627)129246441 (DE-600)59132-4 (DE-576)27906036X 0259-9791 nnns volume:31 year:2002 number:4 month:05 pages:363-370 https://doi.org/10.1023/A:1021068521256 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-CHE SSG-OLC-MAT SSG-OLC-PHA SSG-OLC-DE-84 SSG-OPC-MAT GBV_ILN_11 GBV_ILN_40 GBV_ILN_70 GBV_ILN_2409 GBV_ILN_4012 AR 31 2002 4 05 363-370 |
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10.1023/A:1021068521256 doi (DE-627)OLC2060405173 (DE-He213)A:1021068521256-p DE-627 ger DE-627 rakwb eng 510 540 VZ Bowden, G.J. verfasserin aut Nuclear Spin-Waves, Multiple Quantum NMR, and the Benzene Ring 2002 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Plenum Publishing Corporation 2002 Abstract In the description of multiple quantum NMR spectra of spin $${\raise0.7ex\hbox{$1$} \!\mathord{\left/ {\vphantom {1 2}}\right.\kern-\nulldelimiterspace}\!\lower0.7ex\hbox{$2$}}$$ coupled nuclear spin systems, the interpretation is greatly simplified by subdividing the Hamiltonian ℋ (=$ ℋ_{1} $+$ ℋ_{2} $), where $ ℋ_{1} $ is a suitable combination of the constants of the motion. In this paper, a useful connection is established between (i) the discrete Fourier transform, (ii) the Bloch theorem for translationally invariant systems, and (iii) the nuclear spin dynamics of the benzene ring. In particular, it is shown that multiple quantum NMR experiments, performed at room temperature, can be used to probe the nuclear spin-wave excitations (∼$ 10^{−7} $ K) of the benzene ring. Physical Chemistry Fourier Benzene Fourier Transform Benzene Ring Enthalten in Journal of mathematical chemistry Kluwer Academic Publishers-Plenum Publishers, 1987 31(2002), 4 vom: Mai, Seite 363-370 (DE-627)129246441 (DE-600)59132-4 (DE-576)27906036X 0259-9791 nnns volume:31 year:2002 number:4 month:05 pages:363-370 https://doi.org/10.1023/A:1021068521256 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-CHE SSG-OLC-MAT SSG-OLC-PHA SSG-OLC-DE-84 SSG-OPC-MAT GBV_ILN_11 GBV_ILN_40 GBV_ILN_70 GBV_ILN_2409 GBV_ILN_4012 AR 31 2002 4 05 363-370 |
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10.1023/A:1021068521256 doi (DE-627)OLC2060405173 (DE-He213)A:1021068521256-p DE-627 ger DE-627 rakwb eng 510 540 VZ Bowden, G.J. verfasserin aut Nuclear Spin-Waves, Multiple Quantum NMR, and the Benzene Ring 2002 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Plenum Publishing Corporation 2002 Abstract In the description of multiple quantum NMR spectra of spin $${\raise0.7ex\hbox{$1$} \!\mathord{\left/ {\vphantom {1 2}}\right.\kern-\nulldelimiterspace}\!\lower0.7ex\hbox{$2$}}$$ coupled nuclear spin systems, the interpretation is greatly simplified by subdividing the Hamiltonian ℋ (=$ ℋ_{1} $+$ ℋ_{2} $), where $ ℋ_{1} $ is a suitable combination of the constants of the motion. In this paper, a useful connection is established between (i) the discrete Fourier transform, (ii) the Bloch theorem for translationally invariant systems, and (iii) the nuclear spin dynamics of the benzene ring. In particular, it is shown that multiple quantum NMR experiments, performed at room temperature, can be used to probe the nuclear spin-wave excitations (∼$ 10^{−7} $ K) of the benzene ring. Physical Chemistry Fourier Benzene Fourier Transform Benzene Ring Enthalten in Journal of mathematical chemistry Kluwer Academic Publishers-Plenum Publishers, 1987 31(2002), 4 vom: Mai, Seite 363-370 (DE-627)129246441 (DE-600)59132-4 (DE-576)27906036X 0259-9791 nnns volume:31 year:2002 number:4 month:05 pages:363-370 https://doi.org/10.1023/A:1021068521256 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-CHE SSG-OLC-MAT SSG-OLC-PHA SSG-OLC-DE-84 SSG-OPC-MAT GBV_ILN_11 GBV_ILN_40 GBV_ILN_70 GBV_ILN_2409 GBV_ILN_4012 AR 31 2002 4 05 363-370 |
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Abstract In the description of multiple quantum NMR spectra of spin $${\raise0.7ex\hbox{$1$} \!\mathord{\left/ {\vphantom {1 2}}\right.\kern-\nulldelimiterspace}\!\lower0.7ex\hbox{$2$}}$$ coupled nuclear spin systems, the interpretation is greatly simplified by subdividing the Hamiltonian ℋ (=$ ℋ_{1} $+$ ℋ_{2} $), where $ ℋ_{1} $ is a suitable combination of the constants of the motion. In this paper, a useful connection is established between (i) the discrete Fourier transform, (ii) the Bloch theorem for translationally invariant systems, and (iii) the nuclear spin dynamics of the benzene ring. In particular, it is shown that multiple quantum NMR experiments, performed at room temperature, can be used to probe the nuclear spin-wave excitations (∼$ 10^{−7} $ K) of the benzene ring. © Plenum Publishing Corporation 2002 |
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Abstract In the description of multiple quantum NMR spectra of spin $${\raise0.7ex\hbox{$1$} \!\mathord{\left/ {\vphantom {1 2}}\right.\kern-\nulldelimiterspace}\!\lower0.7ex\hbox{$2$}}$$ coupled nuclear spin systems, the interpretation is greatly simplified by subdividing the Hamiltonian ℋ (=$ ℋ_{1} $+$ ℋ_{2} $), where $ ℋ_{1} $ is a suitable combination of the constants of the motion. In this paper, a useful connection is established between (i) the discrete Fourier transform, (ii) the Bloch theorem for translationally invariant systems, and (iii) the nuclear spin dynamics of the benzene ring. In particular, it is shown that multiple quantum NMR experiments, performed at room temperature, can be used to probe the nuclear spin-wave excitations (∼$ 10^{−7} $ K) of the benzene ring. © Plenum Publishing Corporation 2002 |
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Abstract In the description of multiple quantum NMR spectra of spin $${\raise0.7ex\hbox{$1$} \!\mathord{\left/ {\vphantom {1 2}}\right.\kern-\nulldelimiterspace}\!\lower0.7ex\hbox{$2$}}$$ coupled nuclear spin systems, the interpretation is greatly simplified by subdividing the Hamiltonian ℋ (=$ ℋ_{1} $+$ ℋ_{2} $), where $ ℋ_{1} $ is a suitable combination of the constants of the motion. In this paper, a useful connection is established between (i) the discrete Fourier transform, (ii) the Bloch theorem for translationally invariant systems, and (iii) the nuclear spin dynamics of the benzene ring. In particular, it is shown that multiple quantum NMR experiments, performed at room temperature, can be used to probe the nuclear spin-wave excitations (∼$ 10^{−7} $ K) of the benzene ring. © Plenum Publishing Corporation 2002 |
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Nuclear Spin-Waves, Multiple Quantum NMR, and the Benzene Ring |
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