Biomedical Engineering Reference
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different from the effects of the collision quenching rate
k
q
[
Q
u
], in
which
k
q
is the collision quenching constant and [
Q
u
] is the quencher
concentration. In the case of collision quenching, both the lifetimes
and quantum yields decrease (see Fig. 10.2). On the other hand,
increases in Γ
m
in the presence of metallic colloids cause a decrease
in
τ
m
but an increase in
Q
m
.
Figure 10.2
Comparison of Stern-Volmer plots for collisional quenching
and colloids which enhance Γ
m
. Reprinted with permission
from Ref. 28.
In addition to quenching, an enhanced local ield and an
increase of the radiation decay rate of the luorophore affect the
Q
m
of a luorophore near a metal surface. When these two effects are
considered, we use the apparent quantum yield (
Y
) to substitute for
Q
m
.
2
YL
=( ) ( )
ω
Z
ω
(10.5)
ex
em
The irst term
L
(
ω
ex
) describes the local intensity that is
proportional to the product of the quantum yield without a metal
present and the ampliication of the incident ield. Since the light
intensity is proportional to the square of the local electric ield, a
metal can induce a signiicant enhancement in the local excitation
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