2.1. Some Basic Concepts and Terminologies 73
Z
0 20 40 60 80 100
Radiation Length
0
10
20
30
40
50
Z
0 20 40 60 80 100
Relative Difference (%)^15
20
25
30
35
40
45
Figure 2.1.2: Upper plot shows the radiation
lengths ing/cm^2 computed from equations 2.1.14
(solid line) and 2.1.16 (dashed line). The lower
plots shows the relative error in the values com-
puted from equation 2.1.16 with respect to the
ones computed from equation 2.1.14.
of carbon and oxygen.
XC 0 =
(716.4)(12.01)
6(6 + 1) ln(287/
√
6)
=43. 0 gcm−^1
XO 0 =
(716.4)(16.0)
8(8 + 1) ln(287/
√
8)
=34. 46 gcm−^1
Now we need to calculate the weight fractions of carbon and oxygen inCO 2 ,
which can be done as follows.
w 1 =
12. 01
12 .01 + 16.0+16. 0
=0. 2730
w 2 =
16. 0
12 .01 + 16.0+16. 0
=0. 3635
w 3 = w 2.
Where the subscript 1 ofwrefers to carbon whilew 2 andw 3 represent the
weight fractions of the two oxygen atoms inCO 2.