Letters
J. Phys. Chem. A, Vol. 110, No. 11, 2006 3859
Equation 2 is known to be rigorously fulfilled for magnetic
isotope effects of all elements, wiht the exception of tin (Figure
3), for which this dependence strongly deviates from the linear
one. The reason of exception is a reaction of exchange by SnMe3
groups:
RSnMe3 + S˙ nMe3 f RSnMe3 + S4 nMe3
which produces also isotope exchange and tends to equalize
isotope composition of starting reagents and products. A
competition between these two processes, isotope fractionation
in the primary reaction and isotope scrambling in the secondary
reactions, decreases the of efficiency of isotope separation
already at rather low chemical conversion, about 20-30%.
Another problem, as seen from Figure 3, is that at first sight
there is no isotope balance between starting reagents and
products. The reason for this apparent imbalance is a limitation
of isotope analysis by NMR because of differences in nuclear
relaxation times and partial NMR lines overlapping. The same
limitation results in an apparent difference in fractionation of
117Sn and 119Sn despite the fact that both these nuclei have
almost identical magnetic moments (the difference is about 5%),
so that the difference in fractionation is expected to be not more
than 5%.
Conclusion
For the first time we observed the magnetic isotope effect
on the tin nuclei in the photolytic reactions of (1-naphthylm-
ethyl)trimethyltin and (9-fluorenyl)trimethyltin. The reactions
are nuclear spin selective and fractionate magnetic and non-
magnetic tin isotopes (117,119Sn and 118,120Sn, respectively): the
former are accumulated in the starting molecules, the latter are
concentrated in the reaction product hexamethyldistannane. One-
step enrichment coefficients, estimated at low chemical conver-
sions, are 1.16 and 1.15 for the two organotin compounds;
however, at higher conversions the exchange reaction reduces
the efficiency of isotope separation and tends to equalize the
isotope composition of starting reagents and products.
Figure 3. Isotopic composition as a function of chemical conversion
F at the photolysis of 1 (a) and 2 (b). Open circles refer to 119Sn, filled
circles to 117Sn in 1 and 2; triangles refer to 3: open ones to 119Sn,
filled ones to 117Sn.
Acknowledgment. This work was financially supported by
the Russian Foundation for Basic Research (Grant No. 03-03-
32652) and by the Ministry of Science and Education of Russia
(Grant No. 1221.2003.3).
isotopes. Triplet-singlet spin conversion is induced by strong
magnetic electron-nuclear interaction (hyperfine coupling)
between an unpaired electron and the 117,119Sn nuclei in the
SnMe3 radical; its magnitude is 4.3 × 109 and 4.5 × 109 Hz
for 117Sn and 119Sn nuclei, respectively.11 These frequencies are
adequate to the rate of triplet-singlet spin conversion of the
pairs with magnetic tin nuclei.
References and Notes
(1) Buchachenko, A. L. J. Phys. Chem. A 2001, 105, 9995.
(2) Buchachenko, A. L.; Galimov, E. M.; Ershov, V. V.; Nikiforov,
G. A.; Pershin, A. D. Dokl. Akad. Nauk USSR 1976, 228, 379 (in Russian).
(3) Buchachenko, A. L. Chem. ReV. 1995, 95, 2507.
(4) Podoplelov, A. V.; Leshina, T. V.; Sagdeev, R. Z.; Molin, Yu, N.;
Gol’danskii, V. I. JETP Lett. 1979, 29, 380.
(5) Podoplelov, A. V.; Sen Chel Su; Sagdeev, R. Z.; Shtein, M. S.;
Moralev, V. M.; Gol’danskii, V. I.; Molin, Yu., N. Russ. Chem. Bull. 1985,
34, 2041.
(6) Builpitt, M.; Kitching, W.; Adcock, W.; Doddrell, D. J. Organomet.
Chem. 1976, 116, 187.
The rate of spin conversion of the pairs with nonmagnetic
tin nuclei is by 2 orders of magnitude slower than that of the
pairs with magnetic nuclei, so that these pairs mostly dissociate
and result in reaction products of escaped radicals and one of
them, SnMe3, carries an excess of nonmagnetic tin nuclei. As
a result, magnetic tin nuclei are accumulated in the starting
molecules 1 and 2.
The theory of magnetic isotope effect1 predicts a linear
relation between S and F in coordinates log S and log(1 - F):
(7) Knjazhanski, S. Ya.; Moreno, G.; Cadenas, G.; Belsky, V. K.;
Bulychev, B. M. Tetrahedron 1999, 55, 1639.
(8) Roznyatovsky, V. A.; Ustynyuk, Yu., A.; Vorob’ev, A. Kh.;
Zemlyanskii, N. N.; Borisova, I. V. Russ. J. Phys. Chem. 2004, 78, 1277.
(9) Roznyatovsky, V. A.; Roznyatovsky, V. V.; Ustynyuk, Yu., A. Russ.
Chem. Bull. 2004, 10, 2196.
(10) The direct evidence of the triplet spin state of the radical pair follows
from the sign of magnetic isotope effect; it is a new and the most reliable
test on the spin multiplicity.1 In particular, if the spin multiplicity of the
radical pair is a singlet, we would observe the tin isotope distribution
between starting molecules and products opposite to that observed
experimentally.
1 - R
R
log S )
log(1 - F)
(2)
(
)
where R is a one-step enrichment coefficient:
R ) (1 - P)/(1 - P*)
(3)
Here P and P* are recombination probabilities of the pairs with
nonmagnetic and magnetic nuclei; because P* > P, R > 1.
(11) Lehnig, M. Bull. Soc. Chim. Belg. 1980, 89, 907.