Environmental Engineering Reference
In-Depth Information
Figure 4.2 Documentation of one cycle of neutron generation in the compact device [45].
where, approximately,
h
i
1
=
2
1
=
2
c ¼ð
2
mE
Þ
=
h
ðp=
2
Þ
r
2
2
ð
r
2
r
1
Þ
ð
2
:
24
Þ
and
r
2
is the classical turning point of the D. This is determined by the relation
k
C
e
2
40 keV
¼
=
r
2
;
in the center ofmass frame of the two deuterons, with accelerator voltage 80 kV, so that
r
2
10
27
kg, we
nd
¼
36 f. We have already seen that
r
1
¼
2.7 f. Using
m
R
¼
1.67
h
i
1
=
2
1
=
2
c ¼½ð
2
mE
Þ
=
h
ðp=
2
Þ
r
2
2
ð
r
2
r
1
Þ
¼
1
:
62
:
Therefore
T
Gamow
¼
exp
ð
2
cÞ¼
exp
ð
3
:
239
Þ¼
0
:
0392
: