International Scholarly Research Notices / 2011 / Article / Tab 2 / Research Article
On the Cosmic Ray-Induced Ionization Rate in Molecular Clouds Table 2 Compilation of the absorbed energy flux via electronic (e) and nuclear (
𝑛
) interaction and the total integrated proton flux versus the depth for six distinct models (Table
1 ).
𝐸
l
o
w
e
s
t
indicates the computed minimum energy of the CR protons penetrating to the depth
𝑑
.
Model Depth,
𝑑
, pc
𝐸
l
o
w
e
s
t
, eVIntegrated flux, particles cm−2 s−1 Absorbed energy flux, eV cm−2 s−1 (e) Absorbed energy flux, eV cm−2 s−1 (
𝑛
) M1 0.0
1
0
.
0
×
1
0
6
21.0
0.0
0.0
1.0
8
.
9
5
×
1
0
6
21.0
9
.
1
7
×
1
0
6
7
.
5
1
×
1
0
3
2.0
8
.
8
6
×
1
0
6
20.9
1
.
8
2
×
1
0
7
1
.
5
0
×
1
0
4
4.0
8
.
6
4
×
1
0
6
19.9
3
.
6
2
×
1
0
7
3
.
0
0
×
1
0
4
8.0
7
.
8
3
×
1
0
6
17.7
7
.
1
2
×
1
0
7
6
.
0
0
×
1
0
4
10.0
6
.
5
0
×
1
0
6
16.4
8
.
3
1
×
1
0
7
7
.
2
0
×
1
0
4
M2 0.0
1
0
.
0
×
1
0
6
9.27
0.0
0.0
1.0
8
.
9
5
×
1
0
6
9.26
1
.
6
6
×
1
0
6
1
.
2
1
×
1
0
3
2.0
8
.
8
6
×
1
0
6
9.21
3
.
3
2
×
1
0
6
2
.
4
1
×
1
0
3
4.0
8
.
6
4
×
1
0
6
9.12
6
.
6
2
×
1
0
6
4
.
8
2
×
1
0
3
8.0
7
.
8
3
×
1
0
6
8.92
1
.
3
2
×
1
0
7
9
.
7
2
×
1
0
3
10.0
6
.
5
0
×
1
0
6
8.82
1
.
6
3
×
1
0
7
1
.
2
0
×
1
0
4
M3 0.0
5
0
.
0
×
1
0
6
9.23
0.0
0.0
1.0
4
9
.
7
×
1
0
6
9.23
1
.
1
5
×
1
0
6
7
.
5
2
×
1
0
2
2.0
4
9
.
7
×
1
0
6
9.23
2
.
3
0
×
1
0
6
1
.
5
0
×
1
0
3
4.0
4
9
.
7
×
1
0
6
9.21
4
.
6
0
×
1
0
6
3
.
0
0
×
1
0
3
8.0
4
9
.
7
×
1
0
6
9.17
9
.
1
8
×
1
0
6
6
.
0
0
×
1
0
3
10.0
4
9
.
7
×
1
0
6
9.14
1
.
1
6
×
1
0
7
7
.
7
0
×
1
0
3
M4 0.0
5
0
.
0
×
1
0
6
7.61
0.0
0.0
1.0
4
9
.
7
×
1
0
6
7.61
8
.
4
8
×
1
0
5
5
.
3
4
×
1
0
2
2.0
4
9
.
7
×
1
0
6
7.61
1
.
7
0
×
1
0
6
1
.
0
7
×
1
0
3
4.0
4
9
.
7
×
1
0
6
7.59
3
.
3
9
×
1
0
6
2
.
1
4
×
1
0
3
8.0
4
9
.
7
×
1
0
6
7.56
6
.
7
7
×
1
0
6
4
.
2
8
×
1
0
3
10.0
4
9
.
7
×
1
0
6
7.54
8
.
6
3
×
1
0
6
5
.
6
2
×
1
0
3
M5 0.0
1
0
0
.
0
×
1
0
6
6.49
0.0
0.0
1.0
9
9
.
8
×
1
0
6
6.49
5
.
5
9
×
1
0
5
3
.
1
4
×
1
0
2
2.0
9
9
.
8
×
1
0
6
6.49
1
.
1
2
×
1
0
6
6
.
2
7
×
1
0
2
4.0
9
9
.
8
×
1
0
6
6.48
2
.
2
3
×
1
0
6
1
.
2
5
×
1
0
3
8.0
9
9
.
8
×
1
0
6
6.47
4
.
4
7
×
1
0
6
2
.
5
1
×
1
0
3
10.0
9
9
.
8
×
1
0
6
6.46
5
.
6
3
×
1
0
6
3
.
2
0
×
1
0
3
M6 0.0
1
0
0
.
0
×
1
0
6
5.97
0.0
0.0
1.0
9
9
.
8
×
1
0
6
5.97
5
.
0
7
×
1
0
5
2
.
8
3
×
1
0
2
2.0
9
9
.
8
×
1
0
6
5.97
1
.
0
1
×
1
0
6
5
.
6
7
×
1
0
2
4.0
9
9
.
8
×
1
0
6
5.96
2
.
0
3
×
1
0
6
1
.
1
3
×
1
0
3
8.0
9
9
.
8
×
1
0
6
5.95
4
.
0
5
×
1
0
6
2
.
2
7
×
1
0
3
10.0
9
9
.
8
×
1
0
6
5.95
5
.
1
0
×
1
0
6
2
.
8
8
×
1
0
3