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application of the Beer–Lambert law at a wavelength of zero
absorption for each aminophosphate yielded
A
A
1 ꢀ A0
ab ꢀ xxe
ln
¼ ꢀ ln
þ kap
t
ð9Þ
1 ꢀ A
xe2
where A0, A and A are the absorbances at time 0, t and equilibrium;
1
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parameters a and b are the initial concentrations of PLP and amino
compound, respectively; and x and xe are the Schiff base concentra-
tions at time t and equilibrium, respectively. Taking into account
that in our experimental conditions ab ꢃ xxe, kap was calculated
from the slope of a plot of ln (A1 ꢀ At) versus time. Changing the
aminophosphate concentration over a wide range while keeping
the PLP concentration constant provided kap values that were fitted
to
2
2
2
kap ¼ ½kh þ kf ða þ bÞꢂ ꢀ 4abkf
ð10Þ
were kf and kh are the kinetic formation and hydrolysis constant,
respectively, for the Schiff base. Finally, the equilibrium constant,
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Acknowledgments
This work was made possible by a grant from the Spanish Gov-
ernment (Project CTQ-2008-02207/BQU). One of us (C.C.) wishes to
acknowledge the award of a fellowship by the Regional Govern-
ment of the Balearic Islands.
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