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A
S
1
K
nr
Intersystem crossing
collision,...
K
T
E
ex
E
em
E
tr
K
r
S
0
Excitation
Fluorescence
FRET donor
FRET acceptor
B
M+pha
M*
M+phe
K
r
K
nr
M+
D
s
Figure 5.4
(
A) Jablonski diagram. S
0
is the fundamental energy level of the electron, S
1
is the first exited level, and the small lines represent the vibrational energy levels.
E
ex
is
the energy of excitation,
E
em
is the energy of fluorescence emission,
K
r
is the radiative
de-excitation rate, and
K
nr
is the nonradiative de-excitation rate. (B) Scheme of the
molecular equilibrium occurring between the absorption and emission processes where
M is the fluorophore (molecule), M* is the excited state of themolecule, pha is the photon
absorbed, phe is the photon emitted, D
S
is the entropy,
k
r
is the radiative de-excitation
rate, and
k
nr
is the nonradiative de-excitation rate.
where e(l) is the molar absorption coefficient (L mol
-1
cm
-1
) and
l
(cm) is
the absorption path length (sample thickness) of the sample (
Fig. 5.5
).
The absorbance reflects the probability of a population of fluorophores to
jump to an excited state under the effect of an incident photon at the wave-
length l.
The
absorption coefficient
a(l) is the absorbance divided by the optical path
length (
l
) in the medium:
,
A
ðÞ
l
1
l
I
0
I
I
0
e
a
ðÞl
a
ðÞ¼
¼
log
I
¼
½
5
:
3
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