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Tuning Reactivity of Platinum(II) Complexes

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= 23.76 +<br />

R<br />

Hence, a plot <strong>of</strong> ln<br />

⎛ 2 ⎞<br />

⎜ ⎟<br />

⎝ T ⎠<br />

k<br />

S #<br />

-<br />

R<br />

H #<br />

14<br />

. 1/T (2.27)<br />

against 1 is linear from which the slope gives<br />

T<br />

the enthalpy <strong>of</strong> activation, ΔH # and the y-intercept provides the value <strong>of</strong> the activation<br />

entropy, ΔS # . This plot is usually referred to as the Eyring plot. 6,16,24<br />

The important featuring arising out <strong>of</strong> the thermodynamic activation parameters are:<br />

• The activation parameters are thermodynamic state functions.<br />

• A fast reaction can have a higher enthalpy <strong>of</strong> activation (ΔH #), if ΔS # is more<br />

positive to compensate.<br />

• The activation entropy (ΔS #) associated with k2 for a second-order reaction is<br />

particularly large and negative, reflecting loss <strong>of</strong> entropy from the union <strong>of</strong> two<br />

reaction particles into a single transition-state in an associative reaction<br />

mechanism dominated by bond formation process; the ΔS # is usually large and<br />

positive for dissociative activated reactions.<br />

• The values <strong>of</strong> ΔH # determined from the slope is more reliable than that <strong>of</strong> ΔS #<br />

that are subjected to large relative errors since the data is calculated from values<br />

extracted to infinite temperatures on the y-intercept.<br />

• The uncertainty in ΔS # is approximately<br />

amounts to a factor <strong>of</strong> 3. (<br />

kilojoules for ΔH #).<br />

2.3.5 Effect <strong>of</strong> Pressure on Rate Constant<br />

T<br />

1000 times that <strong>of</strong> ΔH<br />

T<br />

# , which<br />

1000 , involves conversion from joule for ΔS # to<br />

A more reliable parameter in diagnosing reaction mechanisms is the activation volume,<br />

ΔV # since it is particularly less sensitive to temperature. Therefore comparison or<br />

contrast between values determined at different temperatures for different reactions<br />

can be monitored. The activation volume (ΔV #) can be determined from a series <strong>of</strong><br />

experiments in the observed rate constants, , measured as a function <strong>of</strong> applied

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