BSA Flow Software Installation and User's Guide - CSI

Rosin-Rammler
1
P(
x)
= e
xσ
2π
⎡ 1 ( x−xmin
)( xmax−
x
−⎢
(ln
2
⎣ ( 2σ
) m(
xmax−
x)
min
) 2 ⎤
) ⎥
⎦
xmin and xmax are determined from the visible range of the Histogram.
Distribution The Rosin-Rammler distribution curve fitting can only be applied to volume
size histograms and cumulative volume size distribution (count or %). The
formula is
⎡ ⎛
−⎢ln(
2)
⎢ ⎜
⎣ ⎝
x
x
50V
P(
x)
= e
with
1
⎞
⎟
⎠
BRR
⎤
⎥
⎥
⎦
B
RR
ln( x75V
) − ln( x50V
)
= and where
ln( 2)
x50V and x75V are the cumulative diameter volumes at 50 and 75 percent.
7.11 Mean diameters and algorithms for concentration and
flux measurements (Diameter statistics)
7.11.1 Mean diameters (diameter statistics object)
Means diameters are only calculated with the BSA P processor. In the
Diameter statistics, D is the diameter of the size class i, Ni the number of
size classes (bins) selected by the user, ni the number of particles in each size
class and N the total number of particles.
cor
If the Probe volume correction is applied, ni is replaced by n , the
corrected number of particle (see 7.11.3).
i
D10 The arithmetic mean diameter is the ensemble or (arithmetic) number
mean diameter of the acquired and validated samples:
D
10
=
1
N
Ni
∑
i=
1
n D
i
i
It is used for general comparison and for calculating evaporation rates.
D20 The area mean diameter is calculated from the mean squared diameters:
D
⎧ 1
⎨
⎩
Ni
20 = ∑ N i=
1
1
2
⎫ 2 ni
Di
⎬
⎭
It is used for monitoring surface applications.
D21 The area-length mean diameter is calculated from the mean squared
diameters:
D
21
N
i
∑
= i
i=
1
N
∑
i=
1
n
n
2
iDi i
D
It is used for absorption studies.
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7-110 BSA Flow Software: Reference guide
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