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and
Y
ð
E
C
F
d
Þ¼ ð
½
F
c
F
d
Þð
E
a
F
b
Þ=
k
4
ð
l
=
K
2
Þ
(3.38)
where
(E
a
F
b
)
and (E
c
F
d
)
represent the fluorescence excitation (
E
) and emission
(
F
) amplitudes of the
X
+
Y
mixture, at the
a, b,
and
c, d
wavelengths, respectively,
and where
K
1
¼
1
ð
k
1
=
k
2
Þ
(3.39)
K
2
¼
1
ð
k
3
=
k
4
Þ
and
k
1
¼
X
ð
E
c
F
d
Þ=
X
ð
E
a
F
b
Þ;
k
2
¼
Y
ð
E
c
F
d
Þ=
Y
ð
E
a
F
b
Þ
(3.40)
k
3
¼
Y
ð
E
a
F
b
Þ=
Y
ð
E
a
F
d
Þ;
k
4
¼
X
ð
E
a
F
b
Þ=
X
ð
E
c
F
d
Þ
Adaptation of general Eqs. (
3.37
) and (
3.38
) to the deconvolution of the DV and
MV Chl
a
Soret excitation signals is essentially achieved by substituting appropri-
ate DV and MV Chl(ide)
a
values in Eqs. (
3.37
) and (
3.38
) (Table
3.9
).
Let the 447-nm Soret excitation amplitude of the DV + MV Chl(ide)
a
mixture,
which is recorded at an emission wavelength of 674 nm [i.e., the emission maxi-
mum of DV and MV Chl(ide)
a
], be referred to as (
E
447
F
674
). Likewise, let the458-
nm Soret excitation amplitude of the DV + MV Chl mixture, which is also recorded
at 674 nm, be referred to as (
E
458
F
674
). Also let X and Y in Eqs. (
3.37
) and (
3.38
)
represent DV and MV Chl(ide)
a
, respectively. By substitution of (
E
458
F
674
) for
(
E
a
F
b
), (
E
447
F
474
) for (
E
c
F
d
), DV Chl(ide)
a
for X, and MV Chl(ide)
a
for Y,
Eqs. (
3.37
) and (
3.38
) transform into:
ð
Þ
a
ð
Þ¼ ð
½
Þð
Þ=
k
2
ð
=
K
1
Þ
(3.64)
DV Chl
ide
E458 F674
E458 F674
E447 F674
1
MV Chl
ð
ide
Þ
a
ð
E447 F674
Þ¼ ð
½
E447 F674
Þð
E458 F674
Þ=
k
4
ð
1
=
K
2
Þ
(3.65)
where
K
1
and
K
2
are as defined by Eq. (
3.39
) and Where:
k
1
¼
DV Chl
ð
ide
Þ
a
ð
E447 F674
Þ=
DV Chl
ð
ide
Þ
a
ð
E458 F674
Þ
k
2
¼
MV Chl
ð
ide
Þ
a
ð
E447 F674
Þ=
MV Chl
ð
ide
Þ
a
ð
E458 F674
Þ
(3.66)
k
3
¼
MV Chl
ð
ide
Þ
a
ð
E458 F674
Þ=
MV Chl
ð
ide
Þ
a
ð
E447 F674
Þ
k
4
¼
DV Chl
ð
ide
Þ
a
ð
E458 F674
Þ=
DV Chl
ð
ide
Þ
a
ð
E447 F674
Þ
in this context, DV Chl(ide)
a
(E458 F674) refers to the magnitude of the Soret
excitation maximum of authentic DV Chl(ide)
a
at 458 nm when the excitation
spectrum is recorded at an emission wavelength of 674 nm, etc.
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