added to the substrate mixture, which was shaken vigorously for
ca. 10 s and then allowed to stand for 3 min before analysis. Each
competitive oxidation was repeated three to five (n) times and the
mean value of kX/kH and its standard deviation smean found from
the molar product ratios and the known initial molar ratios (r0) of
competing substrates [see eqn (1)]. The standard error of the mean
(smean/ n) was multiplied by the appropriate Student’s t-factor for
(n − 1) degrees of freedom to give the 95% confidence intervals.
and the substituent, such as phenylethanoic acids and 3-substituted
benzene derivatives (see ref. 23).
28 On standardisation, each variable is centred by subtraction of its
mean from the individual values and scaled by division of the
differences by the standard deviation of the variable. D. D. Step-
pan, J. Werner and R. P. Yeater, Essential Regression (add-in for
Microsoft Excel), 1998 and 2006, erbbook, p. 13; freely available at
http://www.geocities.com/jowerner98/index.html.
√
29 See ref. 23b, p. 30.
30 CRC Handbook of Chemistry and Physics, 84th edn, ed. D. R. Lide,
CRC Press, Boca Raton, 2003: (a) Table 6-159, (b) Table 6-166,
(c) Table 6-156.
Acknowledgements
31 (a) Values interpolated from data for the binary solvent systems (see
ESI, Section 2†) given by: F. Mato and F. Fernandez-Polanco, An.
Quim., 1976, 72, 280; (b) D. S. Gill and H. Schneider, Indian J. Chem.,
Sect. A, 1980, 19, 313; (c) P. S. Albright, J. Am. Chem. Soc., 1937, 59,
2098; (d) A. M. Nilsson and P. Beronius, Z. Phys. Chem., 1972, 79, 83;
(e) K. Singh and P. P. Sinha, J. Indian Chem. Soc., 1977, 54, 975, all
from the DETHERM database accessed via Chemical Data Service,
http://cds.dl.ac.uk.
We thank AstraZeneca for a studentship (RAAJH) and Drs
A. M. Davis and N. Gensmantel for their interest and encour-
agement. We are grateful to Dr A. C. Whitwood for assistance
with IT.
32 (a) K. J. Laidler, J. Chem. Soc., 1938, 1786; (b) E. Hertel and J. Dressel,
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given for X = 4-Me and 4-NO2. The reaction constant based on the
quoted logarithms is −0.77; that based on the actual logarithms of the
values of (kX/kH)sulfide is −0.82.
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27 r0R measures the resonance component of rp0 and rm0 , which were
determined on systems lacking conjugation between the reaction centre
This journal is
The Royal Society of Chemistry 2008
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