LSM 880
Left Tool Area and Hardware Control Tools
ZEISS
10/2014 V_01
000000-2071-464
211
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
and
(8n)
If there is no brightness difference between the components,
Φ
i
will become f
i
.
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
t
t
t
t
η
η
γ
t
t
t
t
η
η
η
η
γ
t
(8o)
with fixed brightness values
η
i.
1
=
Φ
∑
i
i
1
=
∑
i
i
f
Summary of Contents for LSM 880
Page 1: ...LSM 880 LSM 880 NLO Operating Manual October 2014 ZEN 2 black edition...
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Page 678: ......
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