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and,
E420 Z 592
570
E420 Z 620
592
k 2 ¼
Zn-Proto
ð
f
ðλÞ
d
λÞ=
Zn-Proto
ð
f
ðλÞ
d
λÞ
E420 R 620
592
the
fluorescence integral of the Mg-Porphyrins between 592 and 620 nm which was
elicited by a 420 nm excitation of the hexane-extracted acetone solution. Zn-Proto
ð
According to the above terminology: Mg-Porphyrins
ð
f
ðλÞ
d
λÞ¼
E420 R 620
592
the fluorescence integral of Zn-Proto between 592 and
620 nm which was elicited by a 420 nm excitation of the hexane-extracted acetone
solution. Zn-Proto ð E420 R 592
570
f
ðλÞ
d
λÞ¼
λÞ¼ the fluorescence integral of Zn-Proto
between 570 and 592 nm which was elicited by a 420 nm excitation of the
hexane-extracted acetone solution, etc. By solving Eqs. ( 3.27 ) and ( 3.28 ) for Mg-
Porphyrins
f
ðλÞ
d
E420 R 620
592
ð
f
ðλÞ
d
λÞ
, the following equation is obtained:
Mg-Porphyrins E420 Z 620
592
E420 Z 620
592
f
ðλÞ
d
λ
¼
f
ðλÞ
d
λÞ
k 2 1
E420 Z 592
570
ð
f
ðλÞ
d
λ=
=
K
(3.30)
Where:
K
¼
1
k 1 =
k e
(3.31)
k 1 and k 2 were calculated according to Eq. ( 3.29 ). The fluorescence integrals used in
Eq. ( 3.29 ) were determined by planimetry from the emission spectra of standard
MPE-equivalent and Zn-Prot in hexane-extracted acetone as described in (Smith
and Rebeiz 1977a ).The value of k 1 was 0.12 and was the mean of 51 different
determinations performed on various concentrations of standard Mg-Porphyrins.
The value of k 2 was 1.22 and was the mean of 19 different determinations
performed on various concentrations of Zn-Proto. The value of K, calculated
according to Eq. ( 3.31 ) was 0.90 (Smith and Rebeiz 1977a ). By substituting the
values for k 2 and K in Eq. ( 3.30 ) the following equation was obtained:
E420 Z 620
592
E420 Z 620
592
Mg-Porphyrins
ð
f
ðλÞ
d
λÞ¼ð
1
:
11
Þð
f
ðλÞ
d
λÞ
E420 Z 592
570
ð
:
Þð
f
ðλÞ
d
λÞ
0
91
(3.32)
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