6236 J. Phys. Chem. A, Vol. 101, No. 35, 1997
Mezyk and Bartels
-
ONO‚‚‚H distance of 98 pm. For the reaction with nitrate, the
reaction at oxygen is simply downhill, with no transition state.
It seems unlikely that any transition state would appear at higher
levels of theory, and the high experimental activation energy
must correspond to a qualitatively different reaction due to the
presence of solvent. Calculations required to investigate specific
solvent effects are beyond the scope of this work.
apparently lead to the creation of two OH ions in contact, but
the Grotthus mechanism of proton transfer also allows for
transfer via a bridge of H-bonded water molecules,4 and this
may provide a more reasonable picture. The only obvious
similarity between this proton transfer reaction and the reaction
of ‚H atom with nitrate is the breaking of the N-O bond and
formation of ‚NO2 as a product. The latter aspect of both
reactions may be responsible for the positive activation entro-
pies. At least three strong hydrogen bonds to nitrate are broken,
giving a large entropy increase. The ‚NO2 radical is not
significantly hydrogen bonded, as indicated by its facile
9,40
•
-
•-
If HNO2 and HNO3 do exist in the liquid, it must be due
to solvent stabilization. We should recall in any case that these
radicals and their respective conjugate bases, NO22 and NO3
-
2-
,
are metastable in water, reportedly dissociating according to
4
8
reactions 10-13, with the indicated first-order half-lives at room
diffusion in ice at low temperatures.
6
,41
temperature:
Summary
HNO2•- f NO + OH-
τ1/2 < 12 µs
τ1/2 ) 12 µs (11)
τ1/2 ) 3 µs (12)
(10)
Arrhenius parameters have been established for aqueous
hydrogen atom reaction with the nitrate anion, nitrous acid, and
the nitrite anion by direct experimental measurement as
2
-
-
NO2 + H O f NO + 2OH
2
HNO3•- f NO + OH-
log k ) (15.28 ( 0.16) - [(48700 ( 1000)/2.303RT] (3)
10
2
2
log k ) (12.36 ( 0.12) - [(21540 ( 690)/2.303RT] (5)
2
-
-
10
4
NO3 + H O f NO + 2OH
τ1/2 ) 12.5 µs (13)
2
2
log k ) (11.94 ( 0.06) - [(15590 ( 360)/2.303RT] (7)
1
0
6
Barker et al.43 found by conductivity detection of the OH
-
2-
product that reaction 13, of NO3 with water, was characterized
by 49.4 kJ mol activation energy and a large preexponential
respectively. On the basis of the Arrhenius parameters for
nitrate anion and the results of ab initio computer modeling of
this reaction, it is believed that the previously proposed reaction
mechanism, consisting of simple addition of the hydrogen atom
to produce a metastable radical intermediate, cannot be correct.
-
1
1
3
3
-1 -1
factor of 4.3 × 10 dm mol s . The activation energy of
NO22 hydrolysis was much smaller. The similarity of these
activation parameters to those found for ‚H reaction with nitrate
and nitrite suggests a commonality of mechanism. If the
-
43
-
Rather, the reactions proceed directly to the ultimate OH and
-
immediate products (OH and NO2 or NO) of the two reaction
NOx products.
sets are the same, the transition states and activation energies
might be somewhat similar, even though the reactants appear
to be quite different.
According to semiclassical transition state theory (omitting
tunneling effects), the Arrhenius preexponential factor corre-
sponds to
Acknowledgment. The authors thank David Werst for his
assistance in operating and maintaining the Van de Graaff
accelerator. We acknowledge Rich Marassas and Andy Cook
for performing transient absorption experiments at Argonne
National Laboratory and Dan Meisel and Chuck Jonah for useful
discussions.
q
kT
A ) exp
h
∆S
R
+ 1
(14)
(
)
References and Notes
q
where ∆S is the activation entropy. Based on this formula,
the reaction of the ‚H atom with NO3 must be characterized
by a large increase in entropy (+39.2 J mol K ) as the
transition state is approached. The entropy change is dominated
by changes in low-frequency vibrations and librations and,
especially, changes in the hydrogen bonding.
(1) Løgager, T.; Sehested, K. J. Phys. Chem. 1993, 97, 6664.
(2) Burkholder, J. B.; Mellonki, A.; Ranajit, T.; Ravishankara, A. R.
Int. J. Chem. Kinet. 1992, 24, 711.
-
-
1
-1
(3) Tsang, W.; Herron, J. T. J. Phys. Chem. Ref. Data 1991, 20, 609.
(4) Meisel, D.; Diamond, H.; Horowitz, E. P.; Jonah, C. D.; Matheson,
M. S.; Sauer, M. C., Jr.; Sullivan, J. C.; Barnabas, D.; Cerny, E.; Cheng,
Y. D. Radiolytic Generation of Gases from Synthetic Waste. Technical
Report ANL-91/14; Argonne National Laboratory: Argonne, IL, 1991.
The hydrogen bonding of the nitrate ion has been studied
intensely by NMR relaxation methods and infrared spectros-
(5) Singh, A.; LeBlanc, J. C. Use of Gadolinium as a Neutron Absorber
in Nuclear Reactors: Radiolysis of Gadolinium Nitrate Solutions. Technical
Report AECL-5526; AECLsWhiteshell Laboratories: Pinawa, MB, Canada,
copy.4 Study of NO2 has not been pursued to the same extent.
7
-
1
976.
It is generally acknowledged that the nitrate ion is strongly
hydrogen bonded to water, and this accounts for its relatively
(6) Gr a¨ tzel, M.; Henglein, A.; Taniguchi, S. Ber. Bunsen-Ges. Phys.
Chem. 1970, 74, 292.
(7) Kevan, L. In Radiation Chemistry of Aqueous Systems; Stein, G.,
Ed.; Wiley: Chichester, 1968.
4
7
slow rotational relaxation in the plane of the molecule.
2-
Likewise, strong hydrogen bonding of the NO3 radical to water
has been suggested by its EPR relaxation behavior in irradiated
nitrate/water glasses.48 We can speculate that the direct
energetically “downhill” attack of the ‚H atom on the nitrate
ion oxygen is prevented by the presence of the hydrogen bonds
to surrounding water molecules and that a much higher barrier
(8) Buxton, G. V.; Greenstock, C. L.; Helman, W. P.; Ross, A. B. J.
Phys. Chem. Ref. Data 1988, 17, 513 and references therein.
(9) Chen, R.; Avotinsh, Y.; Freeman, G. R. Can. J. Chem. 1994, 72,
083 and references therein.
1
(10) Values taken as an average from the reported data in: Barker, G.
C.; Fowles, P.; Stringer, B. Trans. Faraday Soc. 1970, 66, 1509. Treinin,
A.; Hayon, E. J. Am. Chem. Soc. 1970, 92, 5821. Buxton, G. V. Trans.
Faraday Soc. 1969, 65, 2150. Adams, G. E.; Boag, J. W.; Michael, B. D.
Trans. Faraday Soc. 1965, 61, 1417. Adams, G. E.; Boag, J. W. Proc.
Chem. Soc. London, 1964, 112.
(11) Broszkiewicz, R. K. Int. J. Appl. Radiat. Isot. 1967, 18, 25.
(12) Anbar, M.; Farhataziz; Ross, A. B. Selected Specific Rates of
Reactions of Transients from Water in Aqueous Solutions: II. Hydrogen
Atom (NSRDS-NBS 51); National Bureau of Standards, U.S. Department
of Commerce, U.S. Government Printing Office: Washington, DC, 1975
and references therein.
(perhaps out-of-plane) attack is entropically favored.
2
-
It is interesting to consider how the reaction of the NO3
radical with water might occur, and what similarity this might
have to the reaction of the ‚H atom with NO3 . On the basis
of the stoichiometry of reaction 13, two hydroxide ions must
be formed. One of these must be formed via proton transfer
from a water molecule to the nitrate ion’s oxygen. This would
-