Zeiss LSM 880, Operating Manual

Page: 212 / 690

CHAPTER 1 - SYSTEM OPERATION
ZEISS Left Tool Area and Hardware Control Tools LSM 880
206 000000-2071-464 10/2014 V_01
C.6 Double stretched exponential - bunching
This is a double exponential function, where the exponentials are added.
2
2
2
1
1
1
) (
2 2
) (
1 1
1 ) (
κ κ
t
t
t
t
k k
k k
k
e K K e K K t G
⋅ − ⋅ −
⋅ + − ⋅ + − = not normalized (7p)
2 1
) (
2
) (
1
1
1 ) (
2
2
2
1
1
1
K K
e K e K
t G
k k
k k
k − −
⋅ + ⋅
+ =
⋅ − ⋅ −
κ κ
t
t
t
t
normalized
(7q)
where K
1
and K
2
are the fractions of molecules, and
t
k1
and
t
k2
the exponential decay times, k
1
and k
2
the
frequency factors and
κ
1
and
κ
2
the stretch factors.
K
1
, K
2
,
t
k1
and
t
k2
are fit parameters; k
1
and k
2
are fixed parameters and must be user defined;
κ
1
and
κ
2
are fit parameters or can be fixed.
This term is often required to fit protonation, with the second stretch factor and the frequency factors are
set to "1".