for the

finite extension of the source,

it was necessary

to perform tne followings numerical integration:
x

7

a

K= J, ° Krdr
J

Ts

rar

where r, is the radius of tne extended source,

Tne

determination of K is somewhat simplified by the fact
that X is constant over part of the ranse of r,

K = a”/l6(z = b/2)?
~-

i.e.:

(osr <2/2)

~

where a is the collimator diameter, b the collimator
thickness and z the distance from the center of the
collimator to the source.

When r is larger than a/2

and smaller than az/b, K is some function of r determined
grephically by intervolation and derived from Fig. 9 of
Mather's paper.

For values of r equal to or larger than

az/b, K vanishes.
To make the reduction factor X, enersy dependent,
i.e.,to include penetration effects, an approximation?
is used.

Penetration is a function of gamma-ray energy

and the increased averture due to increased energy is
approximately the same as the geometrical aperture of
an opaque collimator two mean-free-patns less tnick.
For the particular geometry involved in the present

experiment, the values of the machine parameters are as
follows:

_

13

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