0018933
APPENDIX E
Derivation of Formula for Percent Mo Left in Cloud
The formula given in Chapter 3 for the percent Mo?? left in the cloud
is based on a material balance for some nuclide, Y,
It can be derived as
follows:
Let Y;
= atoms Y formed in the explosion
e Y.
=
"
"
left in cloud
Yro
=
"
"in fallout
Mop, * atoms Mo?? formed in the explosion
Mo, zs
oH"
"
left in the cloud
Mogg?
"
"
in the fallout
y ®
fraction of Mo?? atomsleft in cloud
k
the ratio atoms Y: atoms Mo?? formed in thermal
=S
neutron fission, a constant
[R99¢4)] e = R-value for nuclide Y in explosion
[R9%x)] cz"
Rr] Fo aes
Ye
"
it
ne
*
w
eh
cloud
tt fallout
oooee (1)
Yo Yro
Mo,
x Yr/Mo
ee
Moy, x k x
®
Ry] E
SAND
BRUNO PGa