strength acid sites obtained by the action of ZrF4 on alumina
pretreated at 873 K are able to catalyse the consecutive trans-
formation of 2-methylbutane which is not possible in the pres-
ence of the slower deactivating but initially less populated and
weaker centres of HfCl /Al O (773).
4
2 3
Conclusions
The catalyst synthesised by the reaction of Group 4 metal
halides vapour with c-alumina possesses Lewis superacid
active centres. There is a correlation between: (i) the halide
electronegativity and the acid strength of the superacid sites;
(ii) the acidity of the superacid sites and the initial rate of
n-pentane isomerization; (iii) the acid strength of the superacid
centres and the n-pentane reaction pathway; and (iv) the acid
strength and the deactivation rate. This correlation conÐrms
the simple model of active superacid centres formation
according to reaction (1) and allows us to predict how di†er-
ent modiÐers can inÑuence the strength, catalytic activity and
stability of Lewis superacid centres.
Fig. 3 Active centre decay for 1, ZrF /Al O (873) and 2,
4
2 3
HfCl /Al O (773)
4
2 3
For the HfCl /Al O the rate of formation of 2-
References
4
2 3
methylbutane is given by:
\ k (1] G t)~N
1
2
R. J. Gillespie, Can. J. Chem. Educ., 1969, 4, 9.
R. J. Gillespie, in Proton T ransfer Reactions, ed. E. Caldin and V.
Gold, Chapman and Hall, London, 1975, p. 25.
G. A. Olah, G. K. S. Prakash and J. Sommer, Superacids, John
Wiley and Sons, New York, 1985.
r
(III)
MB
1
1D
All rate and decay constants were evaluated applying a non-
linear regression procedure with the sum of square residuals
as a Ðt criterion (Table 2). The comparison of calculated
changes in reactant conversion vs. reaction time with experi-
mental data (Fig. 2) conÐrms that the chosen equations prop-
erly describe the reaction. Both superacid systems are
characterised by the same decay parameter N \ 2. According
to TOS theory21 they could be classiÐed as fast decaying cata-
lysts (N [ 1). Analysis of the values of the calculated kinetic
parameters, especially k and G , conÐrms the above conclu-
3
4
Acidity and Basicity of Solids, NATO ASI Series, Ser. C, vol. 444,
ed. J. Fraissard and L. Petrakis , Kluwer, Dordrecht, 1994.
M. Marczewski, Stud. Surf. Sci. Catal., 1984, 21, 213.
W. Juszczyk and M. Marczewski, J. Chem. Soc., Faraday T rans.,
1992, 88, 3591.
5
6
7
8
9
R. T. Sanderson, Chemical Periodicity, Reinhold, New York,
1960.
T. A. Gordymova and A. A. Davydov, Zh. Prikl. Spektrosk., 1983,
39, 621.
B. D. Flockhart, I. R. Leith and R. C. Pink, T rans. Faraday Soc.,
1969, 65, 542.
1
1D
sion since, for both systems, deactivation proceeds faster than
n-pentane isomerization. Namely, to ratios for
ZrF /Al O (873) and HfCl /Al O (773) catalysts are 0.4 and
k
G
10 H. Kno
ꢀ zinger and P. Ratnasamy, Catal. Rev. Sci. Eng., 1978, 17,
1
1D
31.
4
2
3
4
2 3
11 J. B. Peri, J. Phys. Chem., 1965, 69, 231.
0.06, respectively. The calculated kinetic parameters allow us
also to evaluate the active sites evolution during the reaction.
The fraction of deactivated centres, for the two catalytic
systems, given by the formula:
12 M. Zamora and A. Cordoba, J. Phys. Chem., 1978, 82, 584.
13 P. Pascal, Nouveau T raite de Chimie Minerale, Masson et Cie,
ꢁ ꢁ
Paris, 1963, vol. IX, pp. 517, 534.
14 K. Shibata, T. Kiyoura, J. Kitagawa and K. Tanabe, Bull. Chem.
Soc. Jpn., 1972, 46, 2985.
H \ (1] G t)~N
(IV)
15 S. Hocevar and B. Drzaj, J. Catal., 1982, 73, 205.
16 W. J. Mortier, J. Catal., 1978, 55, 138.
1D
are presented in Fig. 3.
17 M. Marczewski, H. Marczewska and K. Witos¡awski, J. Mol.
Catal. A, 1995, 97, 101.
The active centres of the more active ZrF /Al O (873)
4
2 3
decay faster, probably owing to extensive coking. The initial
concentration of superacid centres formed according to reac-
tion (1) depends on the concentration on the alumina surface
of electron-accepting sites surrounded by OH groups and
electron-donating centres. Flockhart et al.9,24 have shown
that on increasing alumina calcination temperature from 773
to 873 K the number of one-electron acceptor and donor sites
increases owing to surface dehydration. Hence, one can
predict the simultaneous rise in superacid sites concentration
with the gradual change in structure from the less acidic b
form to the more acidic a form. Thus, in spite of the higher
decay rate, the initially more populated and of higher acid
18 M. Marczewski, H. Marczewska and K. Witos¡awski, Bull. Soc.
Chim. Fr., 1991, 128, 366.
19 M. Marczewski, J. Chem. Soc., Faraday T rans.1, 1986, 82, 1687.
20 P. L. Fabre, J. Devynck and B. Tremillon, Chem. Rev., 1982, 82,
591.
21 B. W. Wojciechowski, Catal. Rev. Sci. Eng., 1974, 9, 79.
22 M. Marczewski and H. Marczewska, Pol. J. Chem., 1995, 69, 946.
23 M. Marczewski and H. Marczewska, Pol. J. Chem., 1997, 71,
1281.
24 B. D. Flockhart, I. A. N. Scott and R. C. Pink, T rans. Faraday
Soc., 1966, 62, 730.
Paper 7/07395J; Received 14th October, 1997
722
J. Chem. Soc., Faraday T rans., 1998, V ol. 94