As a check, one may ostimate a half thickness value for a given energy spectrun

from the absorption curve in Al. (See Table). Using the Feather Value, it is
seen that for d = 1 om, the value of pd for these intervals exceeds 6 and the
cylinder behaves like an infinite slab with respect to self absorption, for
which ( ref. 6

):

Te Ap(/bpe

sees

eee

ce

eee

ec

ecco

se

(12)

If one takes all the betas to be absorbed within a 3mm shell of intestinal

mucosa whose density is about 1 gn/cmJ, the total mass of irradiated wall will

be 69017 ga. The total area will be a = 2nrl = 2000 cm’, and the total flux will
be Ia, or

Qa Ia = S2iqit)
20001 2an't) 2 21%
betas/seo x 3,7 x 10+ .
PB Ag(t)
kp 2000
all of which is absorbed in ths tissue. Hence equation (3) will apply. Thus
Bo552_ aw ap(t)

6907

Bp

=

107 = ap(t)

BR.

©

rep/day. sce ce ec ccee

(13)

Where Eis in Mey, pin cat, aq(t) in po/tt? .
Since it has been assumed that the sheep turns over 2000 gn/day, this
amount is always in the intestine, with ite activity falling off as A(t) = Ar,
Then the total dose is

Ds LZap tpt] Etdt... ee ee eee cee ew we (A)
pe

‘4 )

The integral will be divided into three periods over which n, Es and thus p,
are taken as constant to a first appraximation. Then for the shot 2 case, where

t, = 0.15 day and At, = 2300 po/ft”,

3

ny ( pith t4)

D = 147 (2300) 2, t°°
=PE
i=l
Pa
a- 2)

cee

eee

ve

(15)

-19-

DO’ ARCHIVES

Select target paragraph3