448
Russ.Chem.Bull., Int.Ed., Vol. 60, No. 3, March, 2011
Nizameev et al.
ln(√2I 1/I0 – 1)
Let us consider the ESR spectrum of the free radical
ТTА• at 350 K (see Fig. 1). The acceleration of rotation
about the Сα—Сβ axis results in averaging of the splitting
constants: аН(β ) = 12.2 G and аН(β ) = 10.5 G. The aforeꢀ
2
mentioned cen1tral quintets are brought together still more
and join with the further temperature increase to form
a triplet of quintets.
–0.25
–0.50
–0.75
The shift can be determined from the ESR lines that
are not overlapped in the initial spectrum. The shift is
related to the lifetime τ (or the correlation time of the
process) between the conformational transitions by the
equation11
(ΔH02 – ΔHe
)
2 1/2 = 21/2/(γ τ),
(2)
e
3.00
2.95
2.90
T–1•103/K–1
where ΔΗ0 is the distance between the lines in the absence
of mutual transformations а and b, and ΔHе is the distance
between the lines in the case of mutual transformations.
To fulfill Eq. (2), it is necessary that the individual line
width of ESR lines δН would be much shorter than the
distance between the lines. Presenting the temperature deꢀ
pendence of τ in the form
Fig. 3. Arrhenius curve for the ТТА• radical.
oxybenzyl)amine at low temperatures. The temperature
dependence of the ESR spectra made it possible to calculate
the correlation time of transition between these conformꢀ
ers and to estimate the activation energy of this process.
τ = Аexp[Ea/(RT)],
(3)
References
one can construct the plot of lnτ vs 1/T. This plot is
a straight line with the slope Еа/R, i.e., the Arrhenius line
(Fig. 3), whose slope makes it possible to determine the
activation energy of transitions between conformers 1 and
2 for the free radical ТТА•. The activation energy is equal
1. E. P. Talzi, Soros. Obraz. Zh. [Soros Educational Journal],
2000, 6, 35 (in Russian).
2. G. A. Kovtun, G. F. Pustarnakova, Kataliz i Neftekhimiya
[Catalysis in Petrochemistry], 2001, 24 (in Russian).
3. V. E. Tarban´ko, S. A. Varganov, D. V. Petukhov, P. V.
Avramov, N. M. Ivanchenko, Khimiya Rastitel´nogo Syr´ya
[Chemistry of Plant Raw Materials], 1998, No. 3, 99 (in Russian).
4. V. D. Pokhodenko, V. A. Khizhnyi, V. A. Bidzilya, Usp.
Khim., 1968, 37, 998 [Russ. Chem. Rev. (Engl. Transl.),
1968, 37].
to 8.2 kcal mol–1
.
The correlation time of rotation for the case where the
atoms Нβ transfer from one position to another and thus
cause the alternation effect of the ESR line width can be
presented as follows11
:
5. I. V. Khudyakov, V. A. Kuz´min, Usp. Khim., 1975, 44, 1748
[Russ. Chem. Rev. (Engl. Transl.), 1968, 37].
,
(4)
6. I. A. Shkrob, M. C. Depew, J. K. S. Wan, Res. Chem. Interꢀ
mediates, 1992, 17, 271.
7. Ya. A. Gurvich, I. G. Arzamanova, G. E. Zaikov, Khim. Fiz.
[Chemical Physics], 1996, 15, 23 (in Russian).
8. E. A. Antonova, D. V. Paramonov, Vestn. Mosk. Gos. Univ.,
Ser. 2. Khim., 1999, 40, 283 [Vestn Mosk. Univ., Ser. Khim.
(Engl. Transl.), 1999, 40, No. 4].
9. V. A. Roginskii, Fenol´nye antioksidanty: reaktsionnaya
sposobnost´ i effektivnost´ [Phenol Antioxidants: Reactivity and
Efficiency], Nauka, Moscow, 1988, 247 (in Russian).
10. A. L. Buchachenko, Izv. Akad. Nauk SSSR, Ser. Khim., 1963,
1120 [Bull. Acad. Sci. USSR, Div. Chem. Sci. (Engl. Transl.),
1963, 32].
where I 1 and I0 are the intensities of ultimate nonꢀoverꢀ
lapped lines of multiplets corresponding to the projections
–1
of the nuclear magnetic moment mI(CH2) = 1.0; T2,0
is the contribution to the line widths from other relaxation
mechanisms independent of mI(CH2); and γe is the gyroꢀ
magnetic ratio of an electron.
The correlation time τ can be calculated for radical
ТТА•, since the constants а1(Нβ) and а2(Нβ) are discernꢀ
ible at low temperatures. For temperature 210 K we obtain
by formula (4) that τ ≈ 8.2•10–10 s (2I 1 = 111.4, I0 = 97.1,
T2,0–1 = 1.91•106 Hz).
11. H. S. Gutowsky, C. H. Holm, J. Chem. Phys., 1956, 1228.
The values of conformational angles for the radical
under study can be calculated by formula (1): θ1 = 26° and
θ2 = 60°, when b = 23.3 G,9 аН(
= 18.9 G, and
β
)
1
аН(β ) = 5.8 G.
1
Thus, particular conformers were detected by the ESR
Received February 19, 2010;
spectra of the free radical tris(3,5ꢀdiꢀtertꢀbutylꢀ4ꢀhydrꢀ
in revised form October 21, 2010