Zeiss LSM 880 Operating Manual page 217

LSM 880
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
number directly, other terms should be used in their normalized form:
3
∑
η
⋅
2
( f )
i i
=
= ⋅
i 1
N N
diff
3
∑
η
⋅
2
f
i i
=
i 1
If one wants to know the true fraction f
brightness from the relation
η
⋅
2
f
Φ =
i i with the constraints
i
3
∑
η
⋅
2
f
i i
=
i 1
If there is no brightness difference between the components, Φ
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
∑ 
η
⋅
2
f
γ i i 
3
∑
=
t
= ⋅ ⋅
i 1

G ( )
tot
3
N 
∑
=
η
⋅
2 i 1

( f )

i i

=
i 1


 

with fixed brightness values ηi.
10/2014 V_01
CHAPTER 1 - SYSTEM OPERATION
Left Tool Area and Hardware Control Tools
of diffusing particles; please note that to obtain the diffusing particle
diff
of each species, values those can be retrieved with the known
i
∑
Φ =
1
i
i
η
⋅
2
f
1 1
3
∑
η
⋅ 2
f
i i
=
i 1

e
α  

d 1
   
i
t   t
+ ⋅ +
    
1 1
t t
 
   

d , i   d , i

000000-2071-464
∑
=
and
f 1
i
i
will become f
i
 
 
 
 
 γ 
3
∑
= ⋅
 
e
  N 
d 2
1 =
i 1
α  

2
 
i
 
⋅ +
1 
1
 
 
2
S 
   

 
.
i
η
⋅
2
f
1 1
3
∑
η
⋅
2
( f )
i i
=
i 1

e
α   α

d 1
   
i i
t   t
⋅ + ⋅
    
1
t t
 
   

d , i   d , i

ZEISS
(8m)
(8n)



(8o)



e
 
d 2
1


2


1 


2
S 
 


211