Zeiss LSM 880, Operating Manual

Page: 211 / 690

CHAPTER 1 - SYSTEM OPERATION
LSM 880 Left Tool Area and Hardware Control Tools ZEISS
10/2014 V_01 000000-2071-464 205
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.
) 1 )( 1 ( ) (
2 1
2 2 1 1
t t
e T T e T T G
t
t t
t t
t
− −
⋅ + − ⋅ + − =
not normalized
(7l)
)
1
1
)(
1
1 ( ) (
2
2
1
1
2 1
T
e T
T
e T
G
t t
t −
⋅ +
−
⋅
+ =
− −
t t
t t
t
normalized
(7m)
where T
1
and T
2
are the fractions of molecules in the triplet state, and
t
t1
and
t
t2
the triplet exponential
decay times.
T
1
, T
2
,
t
t1
and
t
t2
are all fitted parameters.
C.5 Stretched exponential - bunching
In some reactions the kinetics cannot be fitted to simple exponential functions but require stretched
exponentials.
1
1
1
) (
1 1
1 ) (
κ
t
t
k
k
k
e K K t G
⋅ −
⋅ + − =
not normalized
(7n)
1
) (
1
1
1 ) (
1
1
1
K
e K
t G
k
k
k
−
⋅
+ =
⋅ −
κ
t
t
normalized (7o)
where K
1
is the fraction of molecule, and
t
k1
the exponential decay time, k
1
the frequency factor and
κ
1
the stretch factor.
K
1
and
t
k1
are fit parameters; k
1
is a fixed parameter and must be user defined;
κ
1
is either a fit parameter
or can be fixed.
Note, fixing k
1
and
κ
1
to "1" result s in a simple bunching term.