Zeiss LSM 880 Operating Manual page 212

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