메뉴 건너뛰기




Volumn 40 A, Issue 5, 2012, Pages 205-214

Stejskal-tanner equation derived in full

Author keywords

Diffusion; Fick's equation; Magnetization; Mathematica; Pulsed field gradient

Indexed keywords


EID: 84866788388     PISSN: 15466086     EISSN: 15525023     Source Type: Journal    
DOI: 10.1002/cmr.a.21241     Document Type: Article
Times cited : (42)

References (37)
  • 1
    • 33646376290 scopus 로고
    • Spin diffusion measurements: spin echoes in the presence of a time-dependent field gradient
    • Stejskal EO, Tanner JE. 1965. Spin diffusion measurements: spin echoes in the presence of a time-dependent field gradient. J Chem Phys 42: 288-292.
    • (1965) J Chem Phys , vol.42 , pp. 288-292
    • Stejskal, E.O.1    Tanner, J.E.2
  • 2
    • 84925150403 scopus 로고    scopus 로고
    • In: Saykally R, Zewail A, King D, eds.. Cambridge: Cambridge University Press.
    • Price WS. 2009. In: Saykally R, Zewail A, King D, eds. NMR studies of translational motion. Cambridge: Cambridge University Press.
    • (2009) NMR studies of translational motion
    • Price, W.S.1
  • 3
    • 36849101148 scopus 로고
    • Use of the stimulated echo in NMR diffusion studies
    • Tanner JE. 1970. Use of the stimulated echo in NMR diffusion studies. J Chem Phys 52: 2523-2526.
    • (1970) J Chem Phys , vol.52 , pp. 2523-2526
    • Tanner, J.E.1
  • 4
    • 0003161755 scopus 로고
    • Effect of nonrectangular field gradient pulses in the Stejskal and Tanner (diffusion) pulse sequence
    • Price WS, Kuchel PW. 1991. Effect of nonrectangular field gradient pulses in the Stejskal and Tanner (diffusion) pulse sequence. J Magn Reson A 94: 133-139.
    • (1991) J Magn Reson A , vol.94 , pp. 133-139
    • Price, W.S.1    Kuchel, P.W.2
  • 5
    • 43949164076 scopus 로고
    • NMR diffusion measurements using a composite gradient PGSE sequence
    • Merrill MR. 1993. NMR diffusion measurements using a composite gradient PGSE sequence. J Magn Reson 103: 223-225.
    • (1993) J Magn Reson , vol.103 , pp. 223-225
    • Merrill, M.R.1
  • 6
    • 58149362694 scopus 로고
    • An improved diffusion-ordered spectroscopy experiment incorporating bipolar-gradient pulses
    • Wu DH, Chen AD, Johnson CS. 1995. An improved diffusion-ordered spectroscopy experiment incorporating bipolar-gradient pulses. J Magn Reson A 115: 260-264.
    • (1995) J Magn Reson A , vol.115 , pp. 260-264
    • Wu, D.H.1    Chen, A.D.2    Johnson, C.S.3
  • 7
    • 0042143259 scopus 로고    scopus 로고
    • PGSE-WATERGATE, a new tool for NMR diffusion-based studies of ligand-macromolecule binding
    • Price WS, Elwinger F, Vigouroux C, Stilbs P. 2002. PGSE-WATERGATE, a new tool for NMR diffusion-based studies of ligand-macromolecule binding. Magn Reson Chem 40: 391-395.
    • (2002) Magn Reson Chem , vol.40 , pp. 391-395
    • Price, W.S.1    Elwinger, F.2    Vigouroux, C.3    Stilbs, P.4
  • 8
    • 2942525657 scopus 로고    scopus 로고
    • Convection-compensating PGSE experiment incorporating excitation-sculpting water suppression (CONVEX)
    • Momot KI, Kuchel PW. 2004. Convection-compensating PGSE experiment incorporating excitation-sculpting water suppression (CONVEX). J Magn Reson 169: 92-101.
    • (2004) J Magn Reson , vol.169 , pp. 92-101
    • Momot, K.I.1    Kuchel, P.W.2
  • 9
    • 39149136509 scopus 로고    scopus 로고
    • PGSTE-WATERGATE: An STE-based PGSE NMR sequence with excellent solvent suppression
    • Zheng G, Stait-Gardner T, Kumar APG, Torres AM, Price WS. 2008. PGSTE-WATERGATE: An STE-based PGSE NMR sequence with excellent solvent suppression. J Magn Reson 191: 159-163.
    • (2008) J Magn Reson , vol.191 , pp. 159-163
    • Zheng, G.1    Stait-Gardner, T.2    Kumar, A.P.G.3    Torres, A.M.4    Price, W.S.5
  • 10
    • 0001424822 scopus 로고    scopus 로고
    • Suppression of convection artifacts in stimulated-echo diffusion experiments. Double-stimulated-echo experiments
    • Jerschow A, Müller N. 1997. Suppression of convection artifacts in stimulated-echo diffusion experiments. Double-stimulated-echo experiments. J Magn Reson 125: 372-375.
    • (1997) J Magn Reson , vol.125 , pp. 372-375
    • Jerschow, A.1    Müller, N.2
  • 12
    • 17644377261 scopus 로고    scopus 로고
    • Convection-compensating diffusion experiments with phase-sensitive double-quantum filtering
    • Momot KI, Kuchel PW. 2005. Convection-compensating diffusion experiments with phase-sensitive double-quantum filtering. J Magn Reson 174: 229-236.
    • (2005) J Magn Reson , vol.174 , pp. 229-236
    • Momot, K.I.1    Kuchel, P.W.2
  • 13
    • 0034571933 scopus 로고    scopus 로고
    • Measurements of restricted diffusion using an oscillating gradient spin-echo sequence
    • Schachter M, Does MD, Anderson AW, Gore JC. 2000. Measurements of restricted diffusion using an oscillating gradient spin-echo sequence. J Magn Reson 147: 232-237.
    • (2000) J Magn Reson , vol.147 , pp. 232-237
    • Schachter, M.1    Does, M.D.2    Anderson, A.W.3    Gore, J.C.4
  • 14
    • 25144444206 scopus 로고    scopus 로고
    • Acquisition of pure-phase diffusion spectra using oscillating-gradient spin echo
    • Momot KI, Kuchel PW, Chapman BE. 2005. Acquisition of pure-phase diffusion spectra using oscillating-gradient spin echo. J Magn Reson 176: 151-159.
    • (2005) J Magn Reson , vol.176 , pp. 151-159
    • Momot, K.I.1    Kuchel, P.W.2    Chapman, B.E.3
  • 15
    • 0005088423 scopus 로고    scopus 로고
    • Measuring macromolecular diffusion using heteronuclear multiple-quantum pulsed-field-gradient NMR
    • Dingley AJ, Mackay JP, Shaw GL, Hambly BD, King GF. 1997. Measuring macromolecular diffusion using heteronuclear multiple-quantum pulsed-field-gradient NMR. J Biomol NMR 10: 1-8.
    • (1997) J Biomol NMR , vol.10 , pp. 1-8
    • Dingley, A.J.1    Mackay, J.P.2    Shaw, G.L.3    Hambly, B.D.4    King, G.F.5
  • 16
    • 0344985359 scopus 로고    scopus 로고
    • High-resolution NMR measurement of molecular self-diffusion by fast multi-spin-echo diffusion sequences
    • Velan SS, Chandrakumar N. 1996. High-resolution NMR measurement of molecular self-diffusion by fast multi-spin-echo diffusion sequences. J Magn Reson 123: 122-125.
    • (1996) J Magn Reson , vol.123 , pp. 122-125
    • Velan, S.S.1    Chandrakumar, N.2
  • 18
    • 55049111631 scopus 로고    scopus 로고
    • NMR methods for the fast-recording of diffusion
    • In: Brandani S, Chmelik C, Kärger J, Volpe R, eds.. Leipzig: Leipziger Universitätsverlag. p -
    • Pagès G, Kuchel PW. 2007. NMR methods for the fast-recording of diffusion. In: Brandani S, Chmelik C, Kärger J, Volpe R, eds. Diffusion Fundamentals II. Leipzig: Leipziger Universitätsverlag. p 52-68.
    • (2007) Diffusion Fundamentals II , pp. 52-68
    • Pagès, G.1    Kuchel, P.W.2
  • 19
    • 46749147130 scopus 로고    scopus 로고
    • Improved 3D DOSY-TOCSY experiment for mixture analysis
    • Viel S, Caldarelli S. 2008. Improved 3D DOSY-TOCSY experiment for mixture analysis. Chem Commun 2013-2015.
    • (2008) Chem Commun , pp. 2013-2015
    • Viel, S.1    Caldarelli, S.2
  • 20
    • 80055094370 scopus 로고    scopus 로고
    • Resolving overlaps in diffusion encoded spectra using band-selective pulses in a 3D BEST-DOSY experiment
    • Shukla M, Dorai K. 2011. Resolving overlaps in diffusion encoded spectra using band-selective pulses in a 3D BEST-DOSY experiment. J Magn Reson 213: 69-75.
    • (2011) J Magn Reson , vol.213 , pp. 69-75
    • Shukla, M.1    Dorai, K.2
  • 23
    • 34047191652 scopus 로고
    • Fourier transform pulsed-gradient spin-echo studies of molecular diffusion
    • Stilbs P. 1987. Fourier transform pulsed-gradient spin-echo studies of molecular diffusion. Progress Nucl Magn Reson 19: 1-45.
    • (1987) Progress Nucl Magn Reson , vol.19 , pp. 1-45
    • Stilbs, P.1
  • 24
    • 0031498272 scopus 로고    scopus 로고
    • Pulsed-field gradient nuclear magnetic resonance as a tool for studying translational diffusion: Part 1. Basic theory
    • Price WS. 1997. Pulsed-field gradient nuclear magnetic resonance as a tool for studying translational diffusion: Part 1. Basic theory. Concepts Magn Reson 9: 299-336.
    • (1997) Concepts Magn Reson , vol.9 , pp. 299-336
    • Price, W.S.1
  • 26
    • 0032352438 scopus 로고    scopus 로고
    • Pulsed-field gradient nuclear magnetic resonance as a tool for studying translational diffusion. II. Experimental aspects
    • Price WS. 1998. Pulsed-field gradient nuclear magnetic resonance as a tool for studying translational diffusion. II. Experimental aspects. Concepts Magn Reson 10: 197-237.
    • (1998) Concepts Magn Reson , vol.10 , pp. 197-237
    • Price, W.S.1
  • 27
    • 0347359145 scopus 로고    scopus 로고
    • Diffusion ordered NMR spectroscopy: principles and applications
    • Johnson CS. 1999. Diffusion ordered NMR spectroscopy: principles and applications. Progress Nucl Magn Reson 34: 203-256.
    • (1999) Progress Nucl Magn Reson , vol.34 , pp. 203-256
    • Johnson, C.S.1
  • 28
    • 1842759293 scopus 로고    scopus 로고
    • Pulsed field gradient nuclear magnetic resonance as a tool for studying drug delivery systems
    • Momot KI, Kuchel PW. 2003. Pulsed field gradient nuclear magnetic resonance as a tool for studying drug delivery systems. Concepts Magn Reson 19A: 51-64.
    • (2003) Concepts Magn Reson , vol.19 A , pp. 51-64
    • Momot, K.I.1    Kuchel, P.W.2
  • 29
    • 24744440425 scopus 로고    scopus 로고
    • Diffusion NMR spectroscopy: folding and aggregation of domains in p53
    • Dehner A, Kessler H. 2005. Diffusion NMR spectroscopy: folding and aggregation of domains in p53. ChemBioChem 6: 1550-1565.
    • (2005) ChemBioChem , vol.6 , pp. 1550-1565
    • Dehner, A.1    Kessler, H.2
  • 30
    • 13244253788 scopus 로고    scopus 로고
    • Diffusion NMR spectroscopy in supramolecular and combinatorial chemistry: an old parameter-new insights
    • Cohen Y, Avram L, Frish L. 2005. Diffusion NMR spectroscopy in supramolecular and combinatorial chemistry: an old parameter-new insights. Angew Chem Int Ed Engl 44: 520-554.
    • (2005) Angew Chem Int Ed Engl , vol.44 , pp. 520-554
    • Cohen, Y.1    Avram, L.2    Frish, L.3
  • 31
    • 33747155115 scopus 로고    scopus 로고
    • PFG NMR diffusion experiments for complex systems
    • Momot KI, Kuchel PW. 2006. PFG NMR diffusion experiments for complex systems. Concepts Magn Reson 28A: 249-269.
    • (2006) Concepts Magn Reson , vol.28 A , pp. 249-269
    • Momot, K.I.1    Kuchel, P.W.2
  • 32
    • 84858974944 scopus 로고    scopus 로고
    • The Stejskal-Tanner equation generalized for any gradient shape-an overview of most pulse sequences measuring free diffusion
    • Sinnaeve D. 2012. The Stejskal-Tanner equation generalized for any gradient shape-an overview of most pulse sequences measuring free diffusion. Concepts Magn Reson 40A: 39-65.
    • (2012) Concepts Magn Reson , vol.40 A , pp. 39-65
    • Sinnaeve, D.1
  • 33
    • 0028922751 scopus 로고
    • On liquid diffusion
    • Reprinted)
    • Fick A. 1995 (Reprinted). On liquid diffusion. J Membr Sci 100: 33-38.
    • (1995) J Membr Sci , vol.100 , pp. 33-38
    • Fick, A.1
  • 35
    • 36149003638 scopus 로고
    • Bloch equations with diffusion terms
    • Torrey HC. 1956. Bloch equations with diffusion terms. Phys Rev 104: 563-565.
    • (1956) Phys Rev , vol.104 , pp. 563-565
    • Torrey, H.C.1
  • 36
    • 33749622370 scopus 로고
    • Spin echoes
    • Hahn EL. 1950. Spin echoes. Phys Rev 80: 580-594.
    • (1950) Phys Rev , vol.80 , pp. 580-594
    • Hahn, E.L.1
  • 37
    • 33847534249 scopus 로고
    • Effects of diffusion on free precession in nuclear magnetic resonance experiments
    • Carr HY, Purcell EM. 1954. Effects of diffusion on free precession in nuclear magnetic resonance experiments. Phys Rev 94: 630-638.
    • (1954) Phys Rev , vol.94 , pp. 630-638
    • Carr, H.Y.1    Purcell, E.M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.