Abstract
An analytical expression for intermolecular dipolar effects was derived for the CRAZED sequence with an arbitrary flip angle of the second RF pulse and time-varying gradients. A combination of the demagnetizing field theory and product operator formalism was utilized in the derivation. It is demonstrated that the time-averaged, not instantaneous, orientation of the applied gradients determines the contributions of long-range intermolecular dipole effects. An imaging sequence to detect intermolecular dipolar effects was designed. The second- and third-order multiple spin echo (MSE) NMR signals of swine muscle were observed and were found to be in good agreement with the theoretical predictions. MSE images of a water phantom withnth orders (n=−2, −3, −4, and − 5) were also obtained, and their relative signal intensities and optimized TE values were elucidated and compared with the theoretical prediction.
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References
Deville G, Bernier M, Delrieux JM. NMR multiple echoes observed in solid. He. Phys Rev B 1979;19:5666–87.
Bowteil R, Bowley RM, Glover P. Multiple spin echoes in liquids in a high magnetic field. J Magn Reson 1990;88:643–51.
Warren WS, Richter W, Andrcotti AH, Farmer BT. II. Generation of impossible cross-peaks between bulk water and biomolecules in solution NMR. Science 1993;262:2005–9.
Lee S, Richter W, Vathyam S, Warren WS. Quantum treatment of the effects of dipolar dipolar interactions in liquid nuclear magnetic resonance. J Chem Phys 1996;105:874–900.
Jeener J, Vassenbroek A, Broekaert P. Unified derivation of the dipolar field and relaxation terms in the Bloch-Redifield equations of liquid NMR. J Chem Phys 1995;103:1309–32.
Vlassenbroek A, Jeener J, Broekaert P. Macroscopic and microscopic fields in high-resolution liquid NMR. J Magn Reson A 1996;118:234–46.
Levitt MH. Demagnetization field effects in two-dimensional solution NMR. Concepts Magn Reson 1996;8:77–103.
Warren WS, Lee S, Richter W, Vathyam S. Correcting the classical dipolar demagnetizing field in solution. Chem Phys Lett 1995;247:207–14.
Minot ED, Callaghan PT, Kaplan N. Multiple echoes, multiple quantum coherence, and the dipolar field: demonstrating the significance of higher order terms in the equilibrium density matrix. J Magn Reson 1999;140:200–50.
Kimmich R, Ardelean I. Intermolecular multiple-quantum co-herence transfer echoes and multiple echoes in nuclear magnetic resonance. J Chem Phys 1999;110:3708–13.
Ardelean I, Kimmich R. Demagnetizing field effects on the Hahn echo. Chem Phys Lett 2000;320:81–6.
Richter W, Lee S, Warren WS, He QH. Imaging with intermolecular multiple-quantum coherences in solution nuclear magnetic resonance. Science 1995;267:654–7.
Vathyam S, Lee S, Warren WS. Homogeneous NMR spectra in inhomogeneous field. Science 1996;272:92–6.
Warren WS, Ahn SD, Mescher M, et al. MR imaging contrast enhancement based on intermolecular zero quantum coherences. Science 1998;281:247–2451.
Broekaert P, Vlassenbroek A, Jeener J, Iippens G, Wieruszeski JM. Observation and selective suppression of the dipolar-field effects in 2D NMR in liquid in homogeneous fields. J Magn Reson A 1996;120:97–104.
Mattiello DL, Warren WS, Mueller L, Farmer BT. Minimizing the water resonance in biological NMR: characterization and suppression of intermolecular dipolar interactions by multipleaxis gradients. J Am Chem Soc 1996;118:3253–61.
Chen Z, Kennedy SD, Zhong J. Theoretical formalism and experimental confirmation of intermolecular dipolar effects under time-averaged magnetic field gradients. Chem Phys Lett 1999;313:217–24.
Sklenář V. Suppression of radiation damping in multidimensional NMR experiments using magnetic field gradients. J Magn Reson A 1995;114:132–5.
Kimmich R. NMR Tomography. Diffusometry. Relaxometry. Berlin: Springer, 1997.
Ardelean I, Kimmich R, Stapf S, Demco DE. Multiple nonlinear stimulated echoes. J Magn Reson 1997;127:217–24.
Morse PM, Feshbach H. Methods of Theoretical Physics. New York: McGraw-Hill, 1953.
Zhong J, Chen Z, Kwok E. In vivo intermolecular double-quantum imaging on a clinical 1.5 T MR scanner. Magn Reson Med 2000;43:335–41.
Zhong J, Chen Z, Kwok E. NMR imaging contrast mechanisms in intermolecular double-quantum coherence human MR imaging. J Magn Reson Imag 2000;12:311–20.
Bifone A, Payne GS, Leach MO. In vivo multiple spin echoes. J Magn Reson 1998:135:33–6.
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Chen, Z., Kennedy, S.D. & Zhong, J. Quantitation of intermolecular dipolar effects in NMR spectroscopy and high order MSE MR imaging. MAGMA 11, 122–128 (2000). https://doi.org/10.1007/BF02678475
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DOI: https://doi.org/10.1007/BF02678475