Classical Nucleation Theory - Aerosols: Measurement, Dosimetry, and Health Effects - page 524

TABLE 19.2
Important Parameters That Were Determined from the Experimental Nucleation Rate, Supersaturation, and Temperature (Figures 19.3
and 19.5) by Solution of Equations 19.61 and 19.64 (for Li, Na, Ag, Mg, Zn, Hg) and Equations 19.60 and 19.64 (for Cs) (Second Iteration)

F R
N 1

F
N 1

I
I

exp
CNT

K K

Q rot Q rot l Q rot l

K

Metal T (K) S n 1 (cm −3 ) N S R S (nm)

, Quantum Form , Classical Form

σ S ( R S ) (Dyne/cm)

Li 875

971
1033

173.0
33.6
12.7

1.0 × 10 17
1.5 × 10 17
1.7 × 10 17

27
40
56

0.54
0.62
0.69

1.6 × 10 7
1.3 × 10 7
1.4 × 10 7

3.8 × 10 7
1.2 × 10 8
3.1 × 10 8

1.02
1.14
1.21

1.06
1.17
1.25

4.3 × 10 14
8.4 × 10 14
1.8 × 10 15

4.3 × 10 −12
5.7 × 10 −11
1.1 × 10 −8

683.0
591.0
508.9

Na 556

606
646

53.9
34.0
21.1

7.2 × 10 15
2.7 × 10 16
5.6 × 10 16

32
38
44

0.70
0.73
0.77

1.4 × 10 8
4.1 × 10 7
2.1 × 10 7

3.4 × 10 8
5.6 × 10 8
9.3 × 10 8

1.80
1.97
2.10

1.83
1.99
2.12

8.3 × 10 15
3.0 × 10 15
2.1 × 10 15

243.3
246.4
239.7

1.4 × 10 −1
9.1 × 10 −4
4.3 × 10 −4

Cs 508 9.2

9.6
9.8
10.2

6.0 × 10 16
6.2 × 10 16
6.4 × 10 16
6.6 × 10 16

85
82
79
77

1.37
1.35
1.34
1.32

9.0 × 10 6
8.6 × 10 6
8.3 × 10 6
7.8 × 10 6

1.3 × 10 11
1.2 × 10 11
1.1 × 10 11
1.0 × 10 11

5.32
5.31
5.31
5.30

5.33
5.32
5.31
5.31

8.4 × 10 15
7.3 × 10 15
6.5 × 10 15
5.7 × 10 15

84.5
84.7
84.8
85.2

6.0 × 10 −10
1.7 × 10 −9
3.7 × 10 −9
4.6 × 10 −9

530 7.9

8.1
8.5
8.7

1.0 × 10 17
1.1 × 10 17
1.1 × 10 17
1.1 × 10 17

93
90
86
83

1.41
1.39
1.37
1.36

5.6 × 10 6
5.3 × 10 6
5.0 × 10 6
4.8 × 10 6

1.8 × 10 11
1.6 × 10 11
1.4 × 10 11
1.3 × 10 11

5.58
5.57
5.56
5.56

5.58
5.58
5.57
5.56

6.0 × 10 15
5.2 × 10 15
4.5 × 10 15
4.0 × 10 15

84.2
84.5
84.9
85.2

5.3 × 10 −11
9.4 × 10 −11
2.0 × 10 −10
3.3 × 10 −10

554 7.0

7.1
7.4
7.6

1.8 × 10 17
1.9 × 10 17
1.9 × 10 17
2.0 × 10 17

99
96
92
90

1.44
1.42
1.41
1.39

3.2 × 10 6
3.1 × 10 6
2.9 × 10 6
2.8 × 10 6

2.2 × 10 11
2.0 × 10 11
1.9 × 10 11
1.7 × 10 11

5.86
5.85
5.85
5.84

5.86
5.86
5.85
5.85

3.8 × 10 15
3.4 × 10 15
3.0 × 10 15
2.7 × 10 15

84.5
84.8
85.2
85.6

3 × 10 −12
5.8 × 10 −12
9.0 × 10 −12
1.2 × 10 −11

Ag 588

689
757

1.6 × 10 12
3.7 × 10 8
4.0 × 10 6

5.7 × 10 12
4.5 × 10 12
3.3 × 10 12

4
6
7

0.26
0.30
0.32

1.4 × 10 11
2.1 × 10 11
3.2 × 10 11

8.4 × 10 6
2.7 × 10 7
6.0 × 10 7

1.15
1.36
1.50

1.19
1.39
1.53

7.5 × 10 17
2.2 × 10 18
5.6 × 10 18

1.56 × 10 3
1.45 × 10 3
1.34 × 10 3

6.5 × 10 0
2.6 × 10 2
4.0 × 10 4

Mg 734

794
875

30.9
18.6
10.7

9.1 × 10 15
3.1 × 10 16
1.3 × 10 17

38
46
58

0.61
0.65
0.71

2.1 × 10 8
6.8 × 10 7
1.9 × 10 7

4.9 × 10 8
8.7 × 10 8
1.8 × 10 9

1.24
1.35
1.49

1.27
1.38
1.52

5.4 × 10 16
2.4 × 10 16
1.0 × 10 16

420.5
411.9
398.5

1.7 × 10 74
1.3 × 10 74
6.6 × 10 74

Zn 600

661
725

25.0
14.0
9.2

2.0 × 10 15
9.6 × 10 15
4.1 × 10 16

40
51
62

0.54
0.59
0.63

1.6 × 10 9
3.6 × 10 8
9.2 × 10 7

1.2 × 10 9
2.4 × 10 9
4.6 × 10 9

1.09
1.21
1.33

1.12
1.24
1.36

1.4 × 10 18
5.0 × 10 17
1.8 × 10 17

436.7
425.9
420.1

2.2 × 10 167
3.7 × 10 178
7.0 × 10 182

Hg 268

340
370

3.1 × 10 4
1.2 × 10 2
3.0 × 10 1

1.2 × 10 17
1.4 × 10 17
1.8 × 10 17

17
38
54

0.48
0.62
0.70

9.9 × 10 6
1.3 × 10 7
1.2 × 10 7

3.6 × 10 8
3.7 × 10 9
1.0 × 10 10

1.12
1.44
1.57

1.15
1.46
1.59

2.6 × 10 15
1.6 × 10 16
3.1 × 10 16

349.2
268.4
233.2

5.4 × 10 75
9.8 × 10 178
3.0 × 10 276