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2.4. Determination of the rate constants for hydrogen transfer from
phenols to DPPHÅ radical
Knowledge of BDEs has been accumulated over the past
20 years. More precisely, experimental methods, such as electro-
chemical measurements, radical equilibrium electron paramag-
netic resonance REqEPR method, pulse radiolysis and quantum
chemical calculations using large basis sets have been combined.
Perez-Gonzalez et al. and Leopoldini et al. published interesting
work concerning BDE calculation of polyphenols (Leopoldini,
Russo, & Toscano, 2010; Perez-Gonzalez, Rebollar-Zepeda, Leon-
Carmona, & Galano, 2012). As explained by Lukes et al., Moller–
Plesset (MP) methods significantly underestimate substituent
Solutions of DPPHÅ were prepared in toluene at a concentration
of ca. 5 mM by sonicating the mixture until all DPPHÅ crystals were
dissolved. The solutions were then maintained under argon at
20 °C. For phenols, solutions were also prepared in toluene at a
concentration of ca. 50–200 mM by sonicating until all crystals
were dissolved. Typically, 10–500
lL of the phenol solutions were
added to 500
l
L of DPPHÅ solution in a glass reactor of 50 mL
equipped with a UV fibre containing 20 mL of deoxygenated sol-
vent maintained at 20 °C. The hydrogen-transfer reaction from
phenol to DPPHÅ radical was accompanied by a change in the
UV–visible spectrum and was monitored at 517 nm with a Varian
spectrophotometer (Cary 50, 10 pts/s). The loss of DPPHÅ absor-
bance in the presence of an excess of phenol follows pseudo-first
order kinetics. The rate constants were determined for at least five
different phenol concentrations plotting kDPPH versus [phenol]. It is
the case for phenols 2, 3, 5, 6, 8 and 2P, 3P, 5P, 6P. In the case of all
other phenols (1, 4, 7 and 1P, 1PP, 4P), the reaction with DPPHÅ
radical is very fast and the rate constants were determined by
using stoichiometric conditions at 517 nm considering second-
order kinetics ([DPPHÅ]/[tocopherol] = 1/1). For these phenols, solu-
tions were prepared in toluene at a concentration of ca. 5 mM by
sonicating until all crystals were dissolved. Values of the rate con-
stants are given in the Supporting information (see Table S1).
effects (Klein & Lukes, 2006; Klein, Lukes, Cibulkova, &
Polovkova, 2006) whereas DFT methods reflect the effect of sub-
stituents on BDE satisfactorily. We can notice that if we compare
our theoretical calculated BDE values with the literature, we can
find some discrepancies. For example, in the case of phenol, the
DFT calculation gives 82.2 kcal molꢀ1 while the most reliable gas-
phase BDE reported in the literature by Mulder et al. is
86.7 kcal molꢀ1 (Mulder et al., 2005). Moreover, other theoretical
BDE values of phenol were found such as 90.3 kcal molꢀ1 (Klein
& Lukes, 2006). Thereby, these theoretical results are basis set
and solvent dependent (Brinck, Haeberlein, & Jonsson, 1997). How-
ever, it is known that a systematic underestimation of about
5 kcal molꢀ1 can arise from the DFT calculation but it is generally
reliable for predicting substituent effects on OAH BDE. Hence, it
is better to consider the
DBDE values instead of the theoretical
BDEs of phenols as reported in Table 1. These values are consistent
with published theoretical values except for OMe substituent
(Table 1, entry 12) which is underestimated. Theoretical values
for phenolic antioxidants are also consistent with experimental
values reported by Lucarini and Pedulli (2010) (r2 = 0.97) and the-
oretical data found in literature (Table 2).
The effect of electron-donating and electron-withdrawing sub-
stituents was studied in numerous experimental and theoretical
works for more than 20 years, from the early 1990s (Lucarini &
Pedulli, 2010; Wright et al., 2001). In a previous work, we have also
shown that electron-donating groups decrease the BDE values, in
particular at the ortho- or para-positions (Marteau, Nardello-
Rataj, et al., 2013). In this work, we have extended the study by cal-
culating with the same and more appropriate DFT method
described as B3LYP/6-311++G(2d,2p)//B3LYP/6-311G(d,p), the
BDE of ArOAH bond of phenol itself and of 12 phenol derivatives
bearing different substituents at the ortho-, meta- or para-
positions frequently encountered in natural phenols (i.e. methyl,
ethyl, methoxy, allyl, propenyl) or in synthetic antioxidants (i.e.
tert-butyl). Results are given in Table 1.
Under these conditions,
e
and e0 values are 11 800 L molꢀ1 cmꢀ1
and 24 L molꢀ1 cmꢀ1 for DPPHÅ and DPPH-H respectively.
2.5. Determination of the stoichiometric number for the reaction of
phenols with DPPHÅ
Solutions of DPPHÅ were prepared in toluene at a concentration
of ca. 0.1 mM by sonicating the mixture until all DPPHÅ crystals
were dissolved. The solutions were then maintained under argon
at 20 °C. For phenols, solutions were also prepared in toluene at
a concentration of ca. 5–50 mM by sonicating until all crystals
were dissolved. Typically, 10–30 lL of the phenol solutions were
added to 2.8 mL of a DPPHÅ solution in a UV cell stirred and main-
tained at 20 °C. The absorbance change was monitored at 517 nm
by using the UV–Visible Cary 60. Final Af and initial A0 absorbances
were used to determine the stoichiometric number
r according to
Eq. (14). Final absorbances were collected when constant values
were reached for at least 30 min. Values of the stoichiometric num-
ber
r are given in the Supporting information (see Table S2).
Comparison of entries 1, 2, 5, 6 and 11 confirms that the
decrease of the BDE values is even more important when the
electro-donating substituent effect is stronger (Wright et al.,
2001). The ortho-effect includes steric effects and intramolecular
hydrogen bonding. Moreover, substituents in meta-position are
really unfavourable (see Table 1, entries 3, 9 and 12) compared
to substituents in ortho- (see Table 1, entries 2, 8 and 11) and
para-positions (see Table 1, entries 4, 10 and 13) and, accordingly,
the BDE increases. This unfavourable effect has already been
shown by some authors (Chandra & Uchimaru, 2002; Zhang, Sun,
& Chen, 2001). Finally, the BDE of phenols substituted by a prope-
nyl group (entries 8, 9, 10) is substantially lower than the one of
phenol substituted by an allyl group (entry 7) because the conjuga-
tion of the propenyl with the aromatic ring allows a better delocal-
isation of the free electron of the phenoxyl radical.
3. Results and discussion
3.1. Design and synthesis of new phenolic antioxidants
To design new effective phenolic antioxidants, it is necessary to
identify which substituent and which position can improve the
antioxidant activity of the starting phenol. As a rule of thumb, phe-
nolic compounds with low ArOAH BDE are efficient as antioxidants
(Wright, Johnson, & DiLabio, 2001; Zhang, 1998). They can easily
transfer a hydrogen atom to radicals and thus inhibit the chain
propagation step induced by the peroxyl ROOÅ or acylperoxyl RC
(O)OOÅ radicals involved in terpene and aldehyde oxidation,
respectively (Lucarini
&
Pedulli, 2010). BHA, BHT and
a
-
Since the antioxidant activity of phenols generally increases
when the BDE value of the phenolic OH bond decreases and when
the ionisation potential value is relatively high (Klein & Lukes,
2006), we conducted the evaluation of the antioxidant properties
of 7 phenols (1P to 1PP), including 1 or 2 propenyl groups at the
ortho or para positions. These compounds were synthesised from
tocopherol which have low BDE values (80.0, 79.9 and
77.1 kcal molꢀ1 respectively) (Lucarini & Pedulli, 2010) are the
most frequently encountered antioxidants in perfumery. However,
BHA is already banned, BHT is likely to be and
much more expensive than these two synthetic antioxidants.
a-tocopherol is