CONFOCOR
3
ConfoCor 3
Models
Carl Zeiss
02/2010 M60-1-0025
e
63
C.6 Double stretched exponential - bunching
This is a double exponential function, where the exponentials are added.
2
2
2
1
1
1
)
(
2
2
)
(
1
1
1
)
(
κ
κ
τ
τ
τ
τ
k
k
k
k
k
e
K
K
e
K
K
t
G
⋅
−
⋅
−
⋅
+
−
⋅
+
−
=
not
normalized
(7p)
2
1
)
(
2
)
(
1
1
1
)
(
2
2
2
1
1
1
K
K
e
K
e
K
t
G
k
k
k
k
k
−
−
⋅
+
⋅
+
=
⋅
−
⋅
−
κ
κ
τ
τ
τ
τ
normalized
(7q)
where K
1
and K
2
are the fractions of molecules, and
τ
k1
and
τ
k2
the exponential decay times, k
1
and k
2
the
frequency factors and
κ
1
and
κ
2
the stretch factors.
K
1
, K
2
,
τ
k1
and
τ
k2
are fit parameters; k
1
and k
2
are fixed parameters and must be user defined;
κ
1
and
κ
2
are fit parameters or can be fixed.
This term is often required to fit protonation, with the second stretch factor and the frequency factors are
set to "1".
