Zeiss LSM 880 Operating Manual page 211

LSM 880
C.4 Independent triplet and blinking
In this case the terms are just representatives for two dependent bunching terms that are linked by
multiplication. Note that the triplet fraction, if present, could be fitted to either of the terms.
t
−
t
= − + ⋅
G ( ) 1 ( T T e
t 1 1
t
−
⋅
t
T e t 1
t
= +
1
G ( ) 1 ( )(
t −
1 T
1
are the fractions of molecules in the triplet state, and t
where T and T
1 2
decay times.
, t and t
T , T are all fitted parameters.
1 2 t1 t2
C.5 Stretched exponential - bunching
In some reactions the kinetics cannot be fitted to simple exponential functions but require stretched
exponentials.
−
( k
= − + ⋅
G ) ( t 1 K K e
k 1 1
t
− ⋅
( k
t
⋅ 1
K e
k 1
= +
1
G ( t ) 1
k −
1 K
1
is the fraction of molecule, and t
where K
1
the stretch factor.
and t
K are fit parameters; k
1 k1
or can be fixed.
and κ
Note, fixing k to "1" result s in a simple bunching term.
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CHAPTER 1 - SYSTEM OPERATION
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t
−
− + ⋅
t t
t 1 )( 1 T T e t 2 )
2 2
t
−
+ ⋅
t
1 T e t 2
normalized
2
)
−
1 T
2
t
κ
⋅
1
)
t
1
not normalized
k 1
κ
1
)
normalized
k1
is a fixed parameter and must be user defined; κ
1
000000-2071-464
not normalized
the exponential decay time, k
and t
the triplet exponential
t1 t2
the frequency factor and κ
1
is either a fit parameter
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