CONFOCOR
3
Carl Zeiss
Models
ConfoCor 3
68 M60-1-0025
e
02/2010
Note that the brightness contributes as the square to the correlation function, in other words a double as
bright molecule will contribute 4 fold more. Therefore, the fitted number of molecules must be corrected
to obtain the real number N
diff
of diffusing particles; please note that to obtain the diffusing particle
number directly, other terms should be used in their normalized form:
∑
∑
=
=
⋅
⋅
⋅
=
3
1
2
3
1
2
)
(
i
i
i
i
i
i
diff
f
f
N
N
η
η
(8m)
If one wants to know the true fraction f
i
of each species, values those can be retrieved with the known
brightness from the relation
∑
=
⋅
⋅
=
Φ
3
1
2
2
i
i
i
i
i
i
f
f
η
η
with the constraints
1
=
Φ
∑
i
i
and
1
=
∑
i
i
f
(8n)
If there is no brightness difference between the components,
Φ
i
will become f
i
.
In the ConfoCor software you can fit directly to the fractions even in case of different brightness values.
In this case, the brightness values have to be fixed parameters and defined by the user. The fit formula
converts from equation 5a in combination with 8g taking into account the corrected amplitude to
equation 8o:
⎟
⎟
⎟
⎟
⎟
⎟
⎟
⎟
⎟
⎠
⎞
⎜
⎜
⎜
⎜
⎜
⎜
⎜
⎜
⎜
⎝
⎛
⎟
⎟
⎟
⎠
⎞
⎜
⎜
⎜
⎝
⎛
⎟
⎟
⎠
⎞
⎜
⎜
⎝
⎛
⋅
⎟
⎠
⎞
⎜
⎝
⎛
+
⋅
⎟
⎟
⎠
⎞
⎜
⎜
⎝
⎛
⎟
⎠
⎞
⎜
⎝
⎛
+
⋅
⋅
⋅
=
⎟
⎟
⎟
⎟
⎟
⎟
⎟
⎟
⎟
⎠
⎞
⎜
⎜
⎜
⎜
⎜
⎜
⎜
⎜
⎜
⎝
⎛
⎟
⎟
⎟
⎠
⎞
⎜
⎜
⎜
⎝
⎛
⎟
⎟
⎠
⎞
⎜
⎜
⎝
⎛
⋅
⎟
⎠
⎞
⎜
⎝
⎛
+
⋅
⎟
⎟
⎠
⎞
⎜
⎜
⎝
⎛
⎟
⎠
⎞
⎜
⎝
⎛
+
⋅
⋅
⋅
⋅
⋅
⋅
=
∑
∑
∑
∑
∑
∑
=
=
=
=
=
=
3
1
2
1
2
,
,
3
1
2
2
1
1
3
1
2
1
2
,
,
3
1
2
2
1
1
3
1
2
3
1
2
2
1
2
1
1
1
1
)
(
1
1
1
)
(
)
(
i
e
i
d
e
i
d
i
i
i
i
e
i
d
e
i
d
i
i
i
i
i
i
i
i
i
tot
d
i
d
i
d
i
d
i
S
f
f
N
S
f
f
f
f
N
G
α
α
α
α
τ
τ
τ
τ
η
η
γ
τ
τ
τ
τ
η
η
η
η
γ
τ
(8o)
with fixed brightness values
η
i.