The Journal of Physical Chemistry A
Article
In kinetics, the Arrhenius formula displays the relationship of
activation energy Ea and reaction rate constant k.
selectivity of products was also explained by the NBO electric
charge analysis on the migration of the phenyl carbon to the
peracid oxygen atom. The calculated activation energies were in
good agreement with those of experiment.
−E /RT
a
(5)
k = Ae
or
AUTHOR INFORMATION
■
E
RT
a
ln k = −
+ ln A
Corresponding Author
*Tel:+86 28 85462979. Fax: +86 28 85412291. E-mail:
(6)
where k is the rate constant, Ea is the activation energy, T is
temperature, R is the universal gas constant, and A is the
preexponential factor.
The experimental results displayed good linear relationship
(both of the correlation coefficients r > 0.97, Figure 8).
Notes
The authors declare no competing financial interest.
ACKNOWLEDGMENTS
■
This work has been supported by the National Natural Science
Foundation of China (No. 21073126), the National Basic
Research Program of China (No. 2007CB210203), and the
Research Fund for the Doctoral Program of Higher Education
of China (No. 20090181110074).
REFERENCES
■
52.
(1) Baj, S.; Chrobok, A.; Siewniak, A. Appl. Catal., A 2011, 395, 49−
(2) Kobayashi, S.; Tanaka, H.; Amii, H.; Uneyama, K. Tetrahedron
2003, 59, 1547−1552.
(3) Eshghi, H.; Mirzaie, N.; Asoodeh, A. Dyes Pigm. 2011, 89, 120−
126.
(4) Gissot, A.; Volonterio, A.; Zanda, M. J. Org. Chem. 2005, 70,
6925−6928.
(5) Shang, R.; Fu, Y.; Li, J.-B.; Zhang, S.-L.; Guo, Q.-X.; Liu, L. J. Am.
Chem. Soc. 2009, 131, 5738−5739.
́
(6) Lam, K.; Marko, I. E. Org. Lett. 2009, 11, 2752−2755.
(7) Himmel, M. E.; Ding, S. Y.; Johnson, D. K.; Adney, W. S.;
Nimlos, M. R.; Brady, J. W.; Foust, D. F. Science 2007, 315, 804−807.
(8) Zeng, W.-P.; Li, X.-H.; Du, J.; Li, J.-M.; Zhang, P.; Hu, C.-W.;
Meng, X.-G. Acta Chim. Sin. 2010, 1, 27−32.
□
●
Figure 8. Plots of ln k vs 1/T. , DMOAP; , MAP.
According to eq 6, the activation energy Ea can be obtained.
The experimental activation energies were 31.2 and 34.2 kJ/
mol for the oxidation of 3,4-dimethoxy acetophenone and 4-
methyl acetophenone by performic acid, respectively, which
were in good agreement with the theoretical computation
values of 36.5 and 38.2 kJ/mol for the two ketones, respectively
(ΔE in Table1). It is notable that in the case of the oxidation of
acetophenone, the reaction product phenyl acetate have not be
detected after 3 days despite that the calculated activation
energy was small (69.3 kJ/mol), which implied that H+ in the
solution may cause influence to a certain extent on the reaction
transition state. However, the calculation involving H+ is
complicated, and it was not further studied. Furthermore, as
mentioned above, the B−V reaction may involve the hydrogen
bond interaction of PFA itself, which was not also considered in
this work’s theoretical computation.
(9) Xu, S.-M.; Wang, Z.; Zhang, X.; Zhang, X.-M.; Ding, K.-L. Angew.
Chem., Int. Ed. 2008, 47, 2840−2843.
(10) Imada, Y.; Iida, H.; Murahashi, S. I.; Naota, T. Angew. Chem., Int.
Ed. 2005, 117, 1732−1734.
(11) Li, J.-X.; Dai, W.-L.; Fan, K.-N. J. Phys. Chem. C 2008, 112,
17657−17663.
(12) Figg, T. M.; Cundari, T. R; Gunnoe, T. B. Organometallics 2011,
30, 3779−3785.
(13) Snowden, M.; Bermudez, A.; Kelly, D. R.; Radkiewicz-Poutsma,
J. R. J. Org. Chem. 2004, 69, 7148−7156.
(14) Reyes, L.; Castro, M.; Cruz, J.; Rubio, M. J. Phys. Chem. A 2005,
109, 3383−3390.
(15) Ochiai, M.; Yoshimura, A.; Miyamoto, K.; Hayashi, S.;
Nakanishi, W. J. Am. Chem. Soc. 2010, 132, 9236−9239.
(16) Mihovilovic, M. D.; Muller, B.; Spina, M.; Durrani, A. I.;
̈
Stanetty, D. P.; Dazinger, G.; Kirchner, K. Monatsh. Chem. 2006, 137,
785−794.
(17) Meneses, L.; Araya, A.; Pilaquinga, F.; Fuentealba, P. Chem.
Phys. Lett. 2008, 460, 27−30.
5. CONCLUSIONS
(18) Long, Q. P.; Ji, H. B.; Lv, S. S. Int. J. Quantum Chem. 2009, 109,
448−458.
The B−V oxidation paths of 3,4-dimethoxy acetophenone, 4-
methyl acetophenone, and acetophenone were calculated by
the DFT method. The calculated results indicated that the
formic acid-catalyzed path was more favorable than the
noncatalyzed path in activation energies. The first transition
state is the rate-determining step in both the noncatalyzed and
acid-catalyzed paths. The high selectivity and fast kinetics of
formation of phenyl acetate were obtained for the oxidations of
3,4-dimethoxy acetophenone and 4-methyl acetophenone by
performic acid under this work’s experimental conditions. The
(19) Sever, R. R.; Root, T. W. J. Phys. Chem. B 2003, 107, 10848−
10862.
(20) Grein, F.; Chen, A. C.; Edwards, D.; Crudden, C. M. J. Org.
Chem. 2006, 71, 861−872.
(21) Yamabe, S.; Yamazaki, S. J. Org. Chem. 2007, 72, 3031−3041.
(22) Alvarez-Idaboy, J. R.; Reyes, L. J. Org. Chem. 2007, 72, 6580−
6583.
(23) Frisch, M. J.; Trucks, G. W.; Schlegel, H. B.; Scuseria, G. E.;
Robb, M. A.; Cheeseman, J. R.; Montgomery, J. A., Jr.; Vreven, T.;
Kudin, K. N.; Burant, J. C.; Millam, J. M.; Iyengar, S. S.; Tomasi, J.;
2925
dx.doi.org/10.1021/jp212489k | J. Phys. Chem. A 2012, 116, 2920−2926