June 28, 1951

A. C. Graves

predicts that there will be more particles of 1-h size than of
leu siss is offset vy the assumption that the activity carricd
by @ particle is sroportional to its area.
The resulting curve
of activity (rceticr than number of particlcas) as a function of pore
ticle diameter scems sonsible enough.
(One mishit point out thet
the effcet of making the activity proportional to the area rathcr
than the volume of a varticle is largcly washed out by the high
power of the varticle diameter introduced by the height function
mentioned in the preceding paragraph). Normalization of the activity function shows that one-half of the total activity is concentratcd in particles of diameter icss than 1.1 a, where "a" is a
mcan particle Size.
The form in which the calevlated results are presented consists of

a family of curves in which the parameter is n/a; the maximum

cloud height divided by the square of the mean particle diamcter.

The abscissae are reciprocals of the times at which the fall-out be-

Bins, wind velocity divided by distance to the noint undcr.consideration, while the ordinates are given by the distance squarcd muitiplied into the integrated dose. Since fission fragments alonc are
considered in the calculations and the t-1l+¢ decay law is assumed,
one m2y find the initial dose rate by dividing the total dose obtained from the curves by 5t where "t" is the time at which the
fall-out began. Some typical results are given in the tables below:
Table fT

Radiation ratcs at Trinity for a fit at the 2b-mile hot spot,

|

(Predicted mcan narticle size a= 75 p }

|

[

Roentgens/hour

Distance

Measured

(Mites)

|

120

0.1

|

180

0.01

j

,

Predicted

!

0.5

|

0,09

|

;

|

|

4

|

|

i

'

:

ee

Table if
|

Greenhouse Item

(Bascd on a = Op calculated from Dog fall-out on Parry)
Time of Fall-out

Effective

(hours)

| Distance

|

5

10

(Miles

100

:

200

|

|

Roentgens/hour

Moasured

0,05

+

Predicted

t

0.26

0.07

0.23

"| DOR ARCHIVES \
.

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