Chemical exchange in NMR

Progress in Nuclear Magnetic Resonance Spectroscopy

Volumn 43, Issue 3-4, 2003, Pages 63-103

  Bain, Alex D ^a  

^a MCMASTER UNIVERSITY   (Canada)

Author keywords

Chemical exchange; Data fitting; Density matrix; Dynamic NHR; Fluxionality; Kinetics; Lioville space; Transition probabilities

Indexed keywords

CHEMICAL BONDS; PROBABILITY; REACTION KINETICS; SPECTROMETERS;

CHEMICAL EXCHANGE;

NUCLEAR MAGNETIC RESONANCE SPECTROSCOPY;

EID: 0242403031     PISSN: 00796565     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.pnmrs.2003.08.001     Document Type: Review

References (225)

1. Gutowsky H.S., Holm C.H. J. Chem. Phys. 25:1956;1228.
2. McConnell H.M. J. Chem. Phys. 28:1958;430.
3. Jackman L.M., Cotton F.A. Dynamic Nuclear Magnetic Resonance Spectroscopy. 1975;Academic Press, New York.
4. Sandstrom J. Dynamic NMR Spectroscopy. 1982;Academic Press, London.
5. Kaplan J.I., Fraenkel G. NMR of Chemically Exchanging Systems. 1980;Academic Press, New York.
6. Delpeuch J.J. Dynamics of Solutions and Fluid Mixtures by NMR. 1995;Wiley, Chichester.
7. Tycko R. Nuclear Magnetic Resonance Probes of Molecular Dynamics. 1994;Kluwer Academic Publishers, Boston.
8. Johnson C.S. Adv. Magn. Reson. 1:1965;33.
9. Lynden-Bell R.M. Prog. Nucl. Magn. Reson. Spectrosc. 2:1967;163.
10. Reeves L.W. Adv. Phys. Org. Chem. 3:1965;187.
11. Jesson J.P., Meakin P. Acc. Chem. Res. 6:1973;269.
12. Binsch G., Kessler H. Angew. Chem. Int. Ed. Engl. 19:1980;411.
13. Orrell K.G. Grant D.M., Harris R.K. The Encyclopedia of NMR. 1996;Wiley, Chichester. p. 4850.
14. Stewart W.E., Siddall T.H. Chem. Rev. 70:1970;517.
15. Fauconnier T., Bain A.D., Hazendonk P., Bell R.A., Lock C.J.L. Can. J. Chem. 76:1998;426.
16. Buckley P.D., Furness A.R., Jolley K.W., Pinder D.N. Aust. J. Chem. 27:1974;21.
17. Furness A.R., Buckley P.D., Jolley K.W. Aust. J. Chem. 28:1975;2303.
18. Orrell K.G., Osborne A.G., Sik V., DaSilva M.W. Polyhedron. 14:1995;2797.
19. Chung M.K., Ferguson G., Robertson V., Schlaf M. Can. J. Chem. 79:2001;949.
20. Schneider W.G., Reeves L.W. Ann. N. Y. Acad. Sci. 70:1958;858.
21. Muhandiram D.R., McClung R.E.D. J. Magn. Reson. 76:1988;121.
22. Helgstrand M., Hard T., Allard P. J. Biomol. NMR. 18:2000;49.
23. Robinson V.J., Bain A.D. Magn. Reson. Chem. 31:1993;865.
24. Cabrita E.J., Berger S. Magn. Reson. Chem. 40:2002;S122-S127.
25. Nakashima T.T., McClung R.E.D., Kotovych G. J. Magn. Reson. 133:1999;222.
26. McClung R.E.D., Nakashima T.T., Yamamoto H., Kotovych G. Can. J. Chem. 77:1999;1728.
27. Forsen S., Hoffman R.A. J. Chem. Phys. 40:1964;1189.
28. Jeener J., Meier B.H., Bachmann P., Ernst R.R. J. Chem. Phys. 71:1979;4546.
29. Duspara P.A., Matta C.F., Jenkins S.I., Harrison P.H.M. Org. Lett. 3:2001;495.
30. Bain A.D., Bell R.A., Fletcher D.A., Hazendonk P., Maharajh R.B., Rigby S., Valliant J.F. J. Chem. Soc. Perkin Trans. 2:1999;1447.
31. Vega S. Tycko R. Nuclear Magnetic Resonance Probes of Molecular Dynamics. 1994;155 Kluwer Academic Publishers, Boston.
32. Hazendonk P., Bain A.D., Grondey H., Harrison P.H.M., Dumont R.S. J. Magn. Reson. 146:2000;33.
33. Gutowsky H.S., McCall D.W., Slichter C.P. J. Chem. Phys. 21:1953;279.
34. Gupta R.K., Pitner T.P., Wasylishen R.E. J. Magn. Reson. 13:1974;383.
35. Moss G.P. Pure Appl. Chem. 68:1996;2193.
36. Chan S.O., Reeves L.W. J. Am. Chem. Soc. 95:1973;670.
37. Chan S.O., Reeves L.W. J. Am. Chem. Soc. 95:1973;673.
38. Chan S.O., Reeves L.W. Inorg. Chem. 12:1973;1704.
39. Vallazza E., Bain A.D., Swaddle T.W. Can. J. Chem. 76:1998;183.
40. Reeves L.W., Shaw K.N. Can. J. Chem. 48:1970;3641.
41. Zimmerman J.R., Brittin W.E. J. Phys. Chem. 61:1957;1328.
42. Istratov A.A., Vyvenko O.F. Rev. Sci. Instrum. 70:1999;1233.
43. Moran G.R., Bellamy D.D., Sykes J., Prato F.S. Magn. Reson. Med. 2003;. in press.
44. Beyea S.D., Balcom B.J., Bremner T.W., Armstrong R.L., Grattan-Bellew P.E. J. Am. Ceram. Soc. 86:2003;800.
45. Nordhoy W., Anthionsen H.W., Bruvold M., Jynge P., Krane J., Brurok H. NMR Biomed. 16:2003;82.
46. Plata-Iglesias C., Corsi D.M., VanderElst L., Muller R.N., Imbert D., Bunzli J.C.G., Toth E., Maschmeyer T., Peters J.A. J. Chem. Soc., Dalton Trans. 2003;727.
47. Kessler H. Angew. Chem. Int. Ed. Engl. 9:1970;219.
48. Farrugia L.J. J. Chem. Soc., Dalton Trans. 1997;1783.
49. LeMaster C.B. Prog. Nucl. Magn. Reson. Spectrosc. 31:1997;119.
50. Orrell K.G., Sik V. Annu. Rep. NMR Spectrosc. 19:1987;79.
51. Orrell K.G. Annu. Rep. NMR Spectrosc. 37:1999;1.
52. Orrell K.G., Sik V. Annu. Rep. NMR Spectrosc. 27:1993;103.
53. Pons M., Millet O. Prog. Nucl. Magn. Reson. Spectrosc. 38:2001;267.
54. Fielding L. Tetrahedron. 56:2000;6151.
55. Dong R.Y. Prog. Nucl. Magn. Reson. Spectrosc. 41:2002;115.
56. Johnston E.R. Concepts Magn. Reson. 7:1995;219.
57. Aguirre G., Somanathan R., Hellberg L., Dwyer T., North R. Magn. Reson. Chem. 41:2003;131.
58. Brown K.C., Tyson R.L., Weil J.A. J. Chem. Ed. 75:1998;1632.
59. Dwyer T., Norman J.E., Jasien P.G. J. Chem. Ed. 75:1998;1635.
60. Bragg R.A., Clayden J., Morris G.A., Pink J.H. Chem. Eur. J. 8:2002;1279.
61. Monlien F.J., Helm L., Abou-Hamdan A., Merbach A.E. Inorg. Chem. 41:2002;1717.
62. Skalicky J.J., Mills J.L., Sharma S., Szyperski T. J. Am. Chem. Soc. 123:2001;388.
63. Sidhu P.S., Enright G.D., Ripmeester J.A., Penner G.H. J. Phys. Chem. 106B:2002;8569.
64. Gross U., Pfeifer D. J. Fluorine Chem. 113:2002;17.
65. Boiadjiev S.E., Lightner D.A. Monatshefte Chem. 133:2002;1469.
66. Wolf C., Pranatharthiharan L., Ramagosa R.B. Tetrahedron Lett. 43:2002;8563.
67. Babilov S.P., Mainichev D.A. J. Inclusion Phenom. Macrocycl. Chem. 43:2002;187.
68. Garcia M.B., Grilli S., Lunazzi L., Mazzanti A., Orelli L.R. Eur. J. Org. Chem. 2002;4018.
69. Boere R.T., Masuda J.D. Can. J. Chem. 80:2002;1607.
70. Scaglioni L., Mazzini S., Mondelli R., Merlini L., Ragg E., Nasini G. J. Chem. Soc. Perkin Trans. 2:2001;2276.
71. Lomas J.S., Adenier A. J. Chem. Soc. Perkin Trans. 2:2002;1264.
72. Amato M.E., Carriedo G.A., Garcia Alonso F.J., Garcia-Alvarez J.L., Lombardo G.M., Pappalardo G.C. J. Chem. Soc., Dalton Trans. 2002;3047.
73. Baldwin R., Bennett M.A., Hockless D.C.R., Pertici P., Verrazzani A., Barretta G.U., Marchetti F., Salvadori P. J. Chem. Soc., Dalton Trans. 2002;4488.
74. Yavari I., Adib M., Jahani-Moghaddam F., Bijanzadeh H.R. Tetrahedron. 58:2002;6901.
75. Bongini A., Barbarella G., Favaretto L., Sotgiu G., Zambianchi M., Casarini D. Tetrahedron. 58:2002;10151.
76. Ackerman L.J., Green M.L.H., Green J.C., Bercaw J.E. Organometallics. 22:2003;188.
77. Shore S.G., Hamilton E.J.M., Bridges A.N., Bausch J., Krause-Bauer J.A., Dou D., Liu J., Liu S., Du B., Hall H., Meyers E.A., Vermillion K.E. Inorg. Chem. 42:2003;1175.
78. Klein H.F., Beck R., Hetche O. Eur. J. Inorg. Chem. 2003;232.
79. Casarini D., Rosini C., Grilli S., Lunazzi L., Mazzanti A. J. Org. Chem. 68:2003;1815.
80. Braverman S., Zafrani Y., Gottlieb H.E. J. Org. Chem. 67:2002;3277.
81. Arnason I., Kvaran A., Jonsdottir S., Gudnason P.I., Oberhammer H. J. Org. Chem. 67:2002;3827.
82. Garcia-Valverde M., Pascual R., Torroba T. Org. Lett. 5:2003;929.
83. Birdsall B., Polshakov V.I., Feeney J. Biochemistry. 39:2000;9819.
84. Monlien F.J., Helm L., Abou-Hamdan A., Merbach A.E. Inorg. Chim. Acta. 331:2002;257.
85. Schott D., Sleigh C.J., Lowe J.P., Duckett S.B., Mawby R.J. Inorg. Chem. 41:2002;2960.
86. Rodrigues J.C., Jennings P.A., Melacini G. J. Am. Chem. Soc. 124:2002;6240.
87. Denisov V.P., Halle B. J. Am. Chem. Soc. 124:2002;10264.
88. Uhrin D., Krishna Prasad A.V., Brisson J.R., Bundle D.R. Can. J. Chem. 80:2002;904.
89. Mulder F.A.A., Skrynnikov N.R., Hon B., Dahlquist F.W., Kay L.E. J. Am. Chem. Soc. 123:2001;967.
90. Mulder F.A.A., Mittermaier A., Hon B., Dahlquist F.W., Kay L.E. Nature Struct. Biol. 8:2001;932.
91. Taube F., Andersson I., Toth I., Bodor A., Howarth O.W., Pettersson L. J. Chem. Soc., Dalton Trans. 2002;4451.
92. Korzhnev D.M., Karlsson B.G., Orekhov V.Y., Billeter M. Protein Sci. 12:2003;56.
93. Biris N., Stavrakoudis A., Politou A.S., Mikros E., Sakarellos-Daitsiotis M., Sakarellos C., Tsikaris V. Biopolymers. 69:2003;72.
94. Fyfe C.A., Diaz A.C. J. Phys. Chem. 106B:2002;2261.
95. Harrington L.E., Britten J.F., Hughes D.W., Bain A.D., Thepot J.Y., McGlinchey M.J. J. Organomet. Chem. 656:2002;243.
96. Rubach J.K., Plapp B.V. Biochemistry. 41:2002;15770.
97. Trott O., Palmer A.G. J. Magn. Reson. 154:2002;157.
98. Wehrmann F., Albrecht J., Gedat E., Kubas G.J., Eckert J., Limbach H.H., Buntkowsky G. J. Phys. Chem. 106:2002;2855.
99. Vasdev N., Pointner B.E., Chirakal R., Schrobilgen G.J. J. Am. Chem. Soc. 124:2002;12863.
100. Hoang M., Mladenova G., Hopkinson A.C., Ramnauth J., Lee-Ruff E. Magn. Reson. Chem. 39:2001;294.
101. Birkett H.E., Harris R.K., Hodgkinson P., Carr K., Charlton M.H., Cherryman J.R., Chippendale A.M., Glover R.P. Magn. Reson. Chem. 38:2000;504.
102. Denkova P.S., Dimitrov V.S. Magn. Reson. Chem. 37:1999;637.
103. Skrynnikov N.R., Ernst R.R. J. Magn. Reson. 137:1999;276.
104. Heard P.J., King P.M., Bain A.D., Hazendonk P., Tocher D.A. J. Chem. Soc., Dalton Trans. 1999;4495.
105. Beyreuther S., Frick A., Hunger J., Huttner G., Antelmann B., Schober P., Soltek R. Eur. J. Inorg. Chem. 2000;597.
106. Preston A.J., Fraenkel G., Chow A., Gallucci J.C., Parquette J.R. J. Org. Chem. 68:2003;22.
107. Veauthier J.M., Chow A., Fraenkel G., Geib S.J., Cooper N.J. Organometallics. 19:2000;3942.
108. Laidler K.J. Chemical Kinetics. 1965;McGraw-Hill, New York.
109. Bain A.D., Duns G.J., Rathgeb F., Vanderkloet J. J. Phys. Chem. 99:1995;17338.
110. Knight C.T.G., Merbach A.E. Inorg. Chem. 24:1985;576.
111. Drakenberg T., Carter R.E. Org. Magn. Reson. 7:1975;307.
112. Wand A.J. Nature Struct. Biol. 8:2001;926.
113. Benefraim D.A., Aradyellin R. J. Chem. Soc. Perkin Trans. 2:1994;853.
114. Berg U., Sjostrand U. Org. Magn. Reson. 11:1978;555.
115. Cox C., Lectka T. J. Org. Chem. 63:1998;2426.
116. Dimitrov V.S., Vassilev N.G. Magn. Reson. Chem. 33:1995;739.
117. Dreir C., Henriksen L., Karlsson S., Sandstrom J. Acta Chem. Scand. B. 32:1978;282.
118. Martin M.L., Mabon F., Trierweiler M. J. Phys. Chem. 85:1981;76.
119. Bain A.D., Hazendonk P. J. Phys. Chem. 101A:1997;7182.
120. Suarez C., Nicholas E.J., Bowman M.R. J. Phys. Chem. 107A:2003;3024.
121. Kaplan J.I. J. Chem. Phys. 29:1958;462.
122. Binsch G. J. Am. Chem. Soc. 91:1969;1304.
123. Moler C., van Loan C.F. SIAM Rev. 20:1978;801.
124. Wilkinson J.H. The Algebraic Eigenvalue Problem. 1965;Clarendon Press, Oxford.
125. Ernst R.R., Bodenhausen G., Wokaun A. Principles of Nuclear Magnetic Resonance in One and Two Dimensions. 1987;Clarendon Press, Oxford.
126. Slichter C.P. Principles of Magnetic Resonance. 1989;Springer, Berlin.
127. Fano U. Rev. Mod. Phys. 29:1957;74.
128. Fano U. Caianiello E.R. Lectures on the Many Body Problem. vol. 2:1964;217 Academic Press, New York.
129. Banwell C.N., Primas H. Mol. Phys. 6:1963;225.
130. Jeener J. Adv. Magn. Reson. 10:1982;1.
131. Bain A.D. Prog. Nucl. Magn. Reson. Spectrosc. 20:1988;295.
132. Bain A.D., Duns G.J. Can. J. Chem. 74:1996;819.
133. Kubo R. J. Phys. Soc. Jpn. 9:1954;935.
134. Sack R.A. Mol. Phys. 1:1958;163.
135. Kaplan J.I., Fraenkel G. J. Am. Chem. Soc. 94:1972;2907.
136. Anderson J.E., Corrie J.E.T. J. Chem. Soc. Perkin Trans. 2:1992;1027.
137. Bain A.D., Fletcher D.A., Hazendonk P. Concepts Magn. Reson. 10:1998;85.
138. Bain A.D. J. Magn. Reson. 37:1980;209.
139. Bain A.D. J. Magn. Reson. 39:1980;335.
140. Alexander S. J. Chem. Phys. 37:1962;967.
141. Perrin C.L. J. Magn. Reson. 82:1989;619.
142. Bain A.D., Cramer J.A. J. Phys. Chem. 97:1993;2884.
143. Orrell K.G., Sik V., Stephenson D. Prog. Nucl. Magn. Reson. Spectrosc. 22:1990;141.
144. Perrin C.L., Dwyer T. Chem. Rev. 90:1990;935.
145. Mann B.E. J. Magn. Reson. 21:1976;17.
146. Grassi M., Mann B.E., Pickup B.T., Spencer C.M. J. Magn. Reson. 69:1986;92.
147. Muhandiram D.R., McClung R.E.D. J. Magn. Reson. 71:1987;187.
148. McClung R.E.D., Aarts G.H.M. J. Magn. Reson. 115A:1995;145.
149. Bain A.D., Cramer J.A. J. Magn. Reson. 103A:1993;217.
150. Bain A.D., Cramer J.A. J. Magn. Reson. 118A:1996;21.
151. Schäublin S., Höhener A., Ernst R.R. J. Magn. Reson. 13:1974;196.
152. Bain A.D., Martin J.S. J. Magn. Reson. 29:1978;125.
153. Bain A.D., Martin J.S. J. Magn. Reson. 29:1978;137.
154. McClung R.E.D., Krishna N.R. J. Magn. Reson. 29:1978;573.
155. Bain A.D., Fletcher D.A. Mol. Phys. 95:1998;1091.
156. Bain A.D., Ho W.P.Y., Martin J.S. J. Magn. Reson. 43:1981;328.
157. Bain A.D., Duns G.J. J. Magn. Reson. 109A:1994;56.
158. Vold R.L., Vold R.R., Simon H.E. J. Magn. Reson. 11:1973;283.
159. Allerhand A., Gutowsky H.S. J. Chem. Phys. 41:1964;2115.
160. Allerhand A., Gutowsky H.S. J. Chem. Phys. 42:1965;1587.
161. Allerhand A., Gutowsky H.S. J. Chem. Phys. 42:1965;4203.
162. Deverell C., Morgan R.E., Strange J.H. Mol. Phys. 18:1970;553.
163. Carver J.P., Richards R.E. J. Magn. Reson. 6:1972;89.
164. Laszlo P. Prog. Nucl. Magn. Reson. Spectrosc. 13:1980;257.
165. Williams M.A.K., Halstead T.K. Mol. Phys. 93:1998;609.
166. Hills B.P. Mol. Phys. 76:1992;489.
167. Chopra S., McClung R.E.D., Jordan R.B. J. Magn. Reson. 59:1984;361.
168. Akke M., Palmer A.G. J. Am. Chem. Soc. 118:1996;911.
169. Skrynnikov N.R., Mulder F.A.A., Hon B., Dahlquist F.W., Kay L.E. J. Am. Chem. Soc. 2001.
170. Akke M. Curr. Opin. Struct. Biol. 12:2002;642.
171. Skrynnikov N.R., Dahlquist F.W., Kay L.E. J. Am. Chem. Soc. 124:2002;12352.
172. Pschorr O., Spiess H.W. J. Magn. Reson. 39:1980;217.
173. Vold R.R., Vold R.L. Adv. Magn. Opt. Reson. 16:1991;85.
174. Vold R.R. Tycko R. Nuclear Magnetic Resonance Probes of Molecular Dynamics. 1994;27 Kluwer Academic Publishers, Boston.
175. Greenfield M.S., Ronemus A.D., Vold R.L., Vold R.R., Ellis P.D., Raidy T.E. J. Magn. Reson. 72:1987;89.
176. Alderman D.W., Solum M.S., Grant D.M. J. Chem. Phys. 84:1986;3717.
177. Zaremba S.C. Ann. Mat. Pura Appl. 4-73:1966;293.
178. Conroy H. J. Chem. Phys. 47:1967;5307.
179. Hodgkinson P., Emsley L. Prog. Nucl. Magn. Reson. Spectrosc. 36:2000;201.
180. Cheng V.B., Suzukawa H.H., Wolfsberg M. J. Chem. Phys. 59:1973;3992.
181. Herzfeld J., Berger A.E. J. Chem. Phys. 73:1980;6021.
182. Maricq M.M., Waugh J.S. J. Chem. Phys. 70:1978;3300.
183. Schmidt A., Griffin R.G., Raleigh D.P., Roberts J.E., Smith S.O., Vega S. J. Chem. Phys. 85:1986;4248.
184. Long J.R., Sun B.Q., Bowen A., Griffin R.G. J. Am. Chem. Soc. 116:1994;11950.
185. Schmidt A., Vega S. Isr. J. Chem. 32:1992;215.
186. Boender G.J., Vega S., De Groot H.J.M. Mol. Phys. 95:1998;921.
187. Bain A.D., Dumont R.S. Concepts Magn. Reson. 13:2001;159.
188. De Jong A.F., Kentgens A.P.M., Veeman W.S. Chem. Phys. Lett. 109:1984;337.
189. Kentgens A.P.M., deBoer E., Veeman W.S. J. Chem. Phys. 87:1987;6859.
190. Dixon W.T. J. Chem. Phys. 77:1982;1800.
191. Yang Y., Schuster M., Blumich B., Spiess H.W. Chem. Phys. Lett. 139:1987;239.
192. Luz Z., Tekely P., Reichert D. Prog. Nucl. Magn. Reson. Spectrosc. 41:2002;83.
193. Jäger C., Reichert D., Zimmermann H., Sen T., Poupko R., Luz Z. J. Magn. Reson. 153:2001;227.
194. Reichert D., Zimmermann H., Tekely P., Poupko R., Luz Z. J. Magn. Reson. 125:1997;245.
195. Lyerla J.R., Yannoni C.S., Fyfe C.A. Acc. Chem. Res. 15:1982;208.
196. Riddell F.G., Rogerson M. Magn. Reson. Chem. 35:1997;333.
197. Riddell F.G., Cameron K.S., Holmes S.A., Strange J.H. J. Am. Chem. Soc. 119:1997;7555.
198. Fletcher D.A., Gowenlock B.G., Orrell K.G., Sik V. Magn. Reson. Chem. 33:1995;561.
199. Fletcher D.A., Gowenlock B.G., Orrell K.G., Sik V., Hibbs D.E., Hursthouse M.B., Malik K.M.A. J. Chem. Soc. Perkin Trans. 2:1997;721.
200. Harris R.K., Nordon A., Harris K.D.M. Magn. Reson. Chem. 37:1999;15.
201. Olivier L., Poupko R., Zimmermann H., Luz Z. J. Phys. Chem. 100:1996;17995.
202. Poupko R., Zimmermann H., Muller K., Luz Z. J. Am. Chem. Soc. 118:1996;7995.
203. Luz Z., Poupko R., Alexander S. J. Chem. Phys. 99:1993;7544.
204. Meier B.H., Earl W.L. J. Am. Chem. Soc. 107:1985;5553.
205. Günther H., Moskau D., Bast P., Schmalz D. Angew. Chem. Int. Ed. Engl. 26:1987;1212.
206. Swalen J.D. Prog. Nucl. Magn. Reson. Spectrosc. 1:1966;205.
207. Castellano S., Bothner-By A.A. J. Chem. Phys. 41:1964;3863.
208. Johannesen R.B., Ferretti J.A., Harris R.K. J. Magn. Reson. 3:1970;84.
209. Quirt A.R., Martin J.S. J. Magn. Reson. 5:1971;318.
210. Lueg V., Haegele G. J. Magn. Reson. 26:1977;505.
211. Massiot D., Fayon F., Capron M., King I., LeCalve S., Alonso B., Durand J.O., Bujoli B., Gan Z., Hoatson G.L. Magn. Reson. Chem. 40:2002;70.
212. Higinbotham J., Marshall I. Annu. Rep. NMR Spectrosc. 43:2001;59.
213. Kleier D.A., Binsch G. J. Magn. Reson. 3:1970;146.
214. Stephenson D.S., Binsch G. J. Magn. Reson. 30:1978;625.
215. Abel E.W., Coston T.P.J., Orrell K.G., Sik V., Stephenson D. J. Magn. Reson. 70:1986;34.
216. Draper N.R., Smith H. Applied Regression Analysis. 1981;Wiley, Toronto.
217. Seber G.A.F., Wild C.J. Nonlinear Regression. 1989;Wiley, New York.
218. Press W.H., Flannery B.P., Teukolsky S.A., Vetterling W.T. Numerical Recipes in C. The Art of Scientific Computing. 1988;Cambridge University Press, Cambridge.
219. Nelder J.A., Mead R. Comput. J. 7:1965;308.
220. Ferguson R.C., Marquardt D.W. J. Chem. Phys. 41:1964;2087.
221. Liepert T.K., Marquardt D.W. J. Magn. Reson. 24:1976;181.
222. Bain A.D., Rex D.M., Smith R.N. Magn. Reson. Chem. 39:2001;122.
223. Hawkes G.E., Sales K.D., Lian L.Y., Gobetto R. Proc. R. Soc. London A. 424:1989;93.
224. Yip P., Case D.A. J. Magn. Reson. 83:1989;643.
225. Fauconnier T., Lock C.J.L., Bell R.A., Britten J.F., Rainsford K. Can. J. Chem. 72:1994;382.