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

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Chapter 5<br />

Figure 5.5: Typical UV/Vis spectra <strong>of</strong> [NbCl2(OMe)3(MeOH)] (5 x 10 -5 M) <strong>and</strong> [acacH] (5 x<br />

10 -4 M) in MeOH (∆t = 30 min); (a) spectrum <strong>of</strong> absorbance versus a range <strong>of</strong> wavelengths,<br />

<strong>and</strong> (b) a graph <strong>of</strong> absorbance versus time at 323 nm. T = 25.0 °C<br />

In order to verify that the observed, fast reaction involves only one reaction<br />

step, as opposed to two or more consecutive steps, the preliminary<br />

experimental data was fitted to mathematical models representing a one-step<br />

pseudo first-order (Eq. 5.1) <strong>and</strong> a two-consecutive-step pseudo first-order<br />

(Eq. 5.2) reaction, respectively (see Figure 5.6):<br />

( )<br />

A =A1- A1-A 0<br />

obs<br />

( )<br />

( )<br />

86<br />

-k .t<br />

e<br />

obs<br />

⎛ ⎞<br />

⎜ ⎟<br />

⎝ ⎠ (5.1)<br />

( )<br />

( )<br />

-k .t -k .t<br />

A = A -B e<br />

obs1<br />

+ B -B e<br />

obs2<br />

+B<br />

obs 0 0 0 1 1 (5.2)<br />

with Aobs = the observed absorbance, A0 <strong>and</strong> B0 = the initial absorbance for<br />

the first <strong>and</strong> second steps, A1 <strong>and</strong> B1 = the final absorbance for the first <strong>and</strong><br />

second steps, respectively, <strong>and</strong> kobs1/2 = the observed rate constant for each<br />

step.<br />

(a)<br />

(b)

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