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A solution and solid state study of niobium complexes University of ...

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5.4 Conclusion<br />

Chapter 5<br />

The values <strong>of</strong> K1 obtained from two separate experiments are the same within<br />

experimental error. This is a further indication that the reaction scheme <strong>and</strong> resulting<br />

rate law provides a good underst<strong>and</strong>ing <strong>of</strong> the formation reactions studied here. The<br />

value <strong>of</strong> K2 is three orders <strong>of</strong> magnitude smaller than K1 (e.g. at 25.0 °C, K1 = 1975<br />

(201) M -1 vs K2 = 2.0 (5) M -1 ). This is to be expected since the rate-determining ring-<br />

closure is slow. Similar examples, where this has been observed, are known for<br />

bidentate <strong>complexes</strong>. 7<br />

The relative rate <strong>of</strong> the ring-closure is best illustrated by comparing k1 to k2. The rate<br />

data cannot be compared simply by looking at the results in Table 5.2, since the k2<br />

rate constant is only measured in s -1 . The rate constant, k1 (at 25.0 ° C), is converted<br />

to a first-order rate constant by multiplying k1 (237 (4) M -1 s -1 ) with [acacH] (0.05 M)<br />

<strong>and</strong> adding k-1 (0.12 (1) s -1 ). When this value <strong>of</strong> 11.97 (2) s -1 is compared with k2 (3.7<br />

(3) x 10 -5 ), a difference <strong>of</strong> 6 orders <strong>of</strong> magnitude is obtained.<br />

The difference between k2 <strong>and</strong> k-2 is between 1.5 <strong>and</strong> 2 times at all the temperatures<br />

studied. This is also a very good indication <strong>of</strong> the small value obtained for the<br />

equilibrium constant, K2.<br />

Comparison <strong>of</strong> the kinetic data obtained for this <strong>study</strong> with that <strong>of</strong> the corresponding<br />

tantalum <strong>study</strong> 8 yielded the following:<br />

Similar rate laws were obtained for both studies, except that no k-2 step was<br />

observed for the tantalum <strong>study</strong>.<br />

The values obtained for the rate constants, k1 <strong>and</strong> k2, <strong>of</strong> the tantalum <strong>study</strong><br />

(316 (9) M -1 s -1 ; 4.43 (7) x 10 -5 s -1 ) was slightly higher than that obtained for<br />

the <strong>niobium</strong> <strong>study</strong> (237 (4) M -1 s -1 , 3.7 (3) x 10 -5 s -1 ) at 25.0 °C.<br />

The equilibrium constant, K1, for both studies are, within experimental error,<br />

similar at ± 2000 M -1 .<br />

The high positive value obtained for ∆S ‡ (k1), points strongly towards a dissociative<br />

type mechanism for the first step, as expected for octahedral substitution reactions.<br />

7 H. J. van der Westhuizen, R. Meijboom, M. Schutte, A. Roodt, Inorg. Chem., 49, 20, 9599, 2010.<br />

8 R. Koen, H. G. Visser, A. Roodt, M.Sc. Thesis, <strong>University</strong> <strong>of</strong> the Free State, 2012.<br />

93

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