B–6
Model 3480 Electrospray Aerosol Generator
Table B-2
Midpoint Particle Diameters and Fraction of Total Particle Concentration
that C1, +2, +3, and +4 Elementary Charges
Fraction of Total Particle
Particle
Concentration That Carries This
Diameter
Number (1-4) of Positive Charges
Midpoint,
nm
+1 +2 +3 +4
10
0.0411
0 0 0
11
0.0460
0 0 0
12
0.0514
0 0 0
14
0.0573
0 0 0
15
0.0638
0 0 0
17
0.0709
0 0 0
18
0.0784
0 0 0
21
0.0866
0.00012
0
0
23
0.0953
0.00023
0
0
25
0.1041
0.00041
0
0
28
0.1145
0.0007
0
0
31
0.1241
0.0011
0
0
35
0.1343
0.0018
0
0
38
0.1446
0.0027
0
0
43
0.1550
0.0040
0
0
48
0.1650
0.0056
0
0
53
0.1748
0.0078
0
0
59
0.1841
0.0105
0
0
66
0.1925
0.0138
0
0
74
0.2000 0.0180 0.00045
0
83
0.2064 0.0225 0.00089
0
93
0.2113 0.0279 0.0016 0
104
0.2148 0.0339 0.0028 0
117
0.2167 0.0406 0.0046 0.00014
132
0.2167 0.0477 0.0072 0.00031
150
0.2149 0.0552 0.0105 0.00064
170
0.2113 0.0627 0.0149 0.0012
The formulas used to calculate Table B-2 are shown below. They
are taken from Wiedensohler [1988]. To calculate the fraction of
particles carrying zero, one or two charges, use Equation B-4 which
is an approximation of the Fuchs model. Equation B-4 is valid for
size ranges: 1 nm
≤
D
p
≤
1000 nm for
N
= -1, 0, 1; for 20 nm
≤
D
p
≤
1000 nm for
N
= -2, 2; and for
D
p
≤
20 nm for
N
≤
1.
( )
⎥
⎦
⎤
⎢
⎣
⎡
⎟
⎠
⎞
⎜
⎝
⎛
∑
=
=
5
0
log
10
)
(
i
i
nm
p
D
N
i
a
N
f
Equation
B-4