3744
M. D. Santa Marꢀıa et al. / Tetrahedron 63 (2007) 3737–3744
15. Elguero, J.; Fruchier, A.; Tjiou, E. M.; Trofimenko, S. Chem.
Heterocycl. Comp. 1995, 1006.
to 109 days, 17 measures. Assuming that the final mixture
contains 84.17% of 4 (15.83% of 3), a0¼0.1879, equi-
librium¼0.8417, xe¼0.0297446, removing the first point
and the latter one that corresponds to the equilibrium:
ꢀ
ꢀ
16. Claramunt, R. M.; Sanz, D.; Lopez, C.; Jimenez, J. A.; Jimeno,
M. L.; Elguero, J.; Fruchier, A. Magn. Reson. Chem. 1997,
35, 75.
ꢂ
ꢃ
ꢀ
ꢁ
ꢀ
ꢁ
ln xe=xe ꢁ x ¼ 1:14 ꢂ 0:07 þ 5:16 ꢂ 0:25 ꢃ 10ꢁ7ts;
17. It is known that the closest to sphericity a molecule is, the eas-
iest it tumble and consequently the better is the resolution.18
18. Alemany, L. B.; Grant, D. M.; Pugmire, R. J.; Alger, T. D.;
Kurt, W.; Zilm, K. W. J. Am. Chem. Soc. 1983, 105, 2142.
ꢀ
ꢁ
n ¼ 15; r2 ¼ 0:971; k ¼ 8:17 ꢂ 0:40 ꢃ 10ꢁ8 sꢁ1 ð7Þ
4.4.3. Experiment 3. Compound 4 (40.2 mg), solvent DMF-
d7 (0.75 mL, 0.1879 M), T¼323 K, from 64,800 s to 45
days, 12 measures. Assuming that the final mixture contains
50.00% of 4 (50.00% of 3), a0¼0.1879, equilibrium¼
0.5000, xe¼0.093950, removing the first point and the latter
one that corresponds to the equilibrium:
ꢀ
19. Yap, G. P. A.; Jove, F. A.; Claramunt, R. M.; Sanz, D.; Alkorta,
I.; Elguero, J. Aust. J. Chem. 2005, 58, 817.
€
20. Paulini, R.; Muller, K.; Diederich, F. Angew. Chem., Int. Ed.
2005, 44, 1788.
21. Pinilla, E.; Torres, M. R.; Claramunt, R. M.; Sanz, D.; Prakash,
R.; Singh, S. P.; Alkorta, I.; Elguero, J. ARKIVOC 2006, ii, 135.
22. Alkorta, I.; Elguero, J. Struct. Chem. 1988, 9, 187.
23. CSD version 5.27 (updated January, May and August 2006):
Allen, F. H. Acta Crystallogr., Sect. B 2002, 58, 380.
24. Laidler, K. J. Chemical Kinetics; McGraw-Hill: New York, NY,
1965; pp 19–21.
ꢂ
ꢃ
ꢀ
ꢁ
ꢀ
ꢁ
ln xe=xe ꢁ x ¼ 0:98 ꢂ 0:04 þ 13:34 ꢂ 0:003 ꢃ 10ꢁ7ts;
ꢀ
ꢁ
n ¼ 10; r2 ¼ 0:996; k ¼ 66:70 ꢂ 0:05 ꢃ 10ꢁ8 sꢁ1 ð8Þ
25. Schellhammer, C. W.; Schroeder, J.; Joop, N. Tetrahedron1970,
26, 497; Elguero, J.; Fruchier, A.; Pappalardo, L.; Pardo, M. C.
An. Quim. 1978, 74, 1529; Wiench, J. W.; Koprowski, M.;
Stefaniak, L.; Webb, G. A. Pol. J. Chem. 2002, 76, 525.
26. Reichardt, C. Solvents and Solvent Effects in Organic
Chemistry, 3rd ed.; Wiley-VCH: Weinheim, 2003.
27. Jagerovic, N.; Jimeno, M. L.; Alkorta, I.; Elguero, J.;
Claramunt, R. M. Tetrahedron 2004, 58, 9089 and references
therein.
Acknowledgements
Thanks are given to MCyT of Spain for financial support,
project numbers BQU2003-00976, BQU2003-01251, and
CTQ2006-02586. We are greatly indebted to Dr. Ibon
Alkorta (IQM, CSIC) for the calculation of the 15N absolute
shieldings of compound 4.
28. Coburn, M. D. J. Heterocycl. Chem. 1973, 10, 743.
29. Minkin, V. I.; Garnowski, A. D.; Elguero, J.; Katritzky, A. R.;
Denisko, O. V. Adv. Heterocycl. Chem. 2000, 76, 157 (see page
195).
Supplementary data
Supplementary data associated with this article can be found
30. Minkin, V. I.; Olekhnovich, L. P.; ZhdanovYu, A.; Mikhailov,
I. E.; Metlushenko, V. P.; Ivanchenko, N. M. J. Org. Chem.
USSR 1976, 12, 1271.
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