[0001] This invention relates to the irradiation with gamma rays of discrete articles and
especially of relatively dense articles that will absorb and/or scatter a significant
part of the radiation flux incident on them. A major application is in the radiation
processing of coils of insulated wires and cables for the purpose of cross-linking
the polymeric constituents thereof.
[0002] Gamma radiation for such purposes is in current commercial practice obtained from
Cobalt-60, usually in the form of metallic pellets enclosed in stainless steel tubes
for convenience and safety in handling. Generally a source comprises a number of such
tubes, of varying ages and therefore differing activities, set up in a plane parallel
array.
[0003] It will be apparent that such a source is not susceptible to any close control of
the direction or even the local intensity of irradiation, and efficient utilisation
of the source therefore depends upon careful control of the positioning and movement
of the articles to be irradiated.
[0004] Assuming that products are irradiated symmetrically on two opposite faces, the maximum
dose ratio Z between parts of the product can, as a first approximation, be given
as:-
where Do = dose at outer (irradiated) surfaces
Dc = dose mid way between those surfaces (which is also the minimum dose)
P = absorption constant (m2/kg)
T = thickness between faces (m).
R = mean density of product (kg/m3)
We have found experimentally that for products of reasonably uniform density a sufficiently
close estimate of Z can be obtained by using the value:-

[0005] When the product is irradiated on one face in this manner then, as a first approximation
the magnitude of the radiation flux passing through the opposite face is F where:-

Consequently the efficiency E of absorption of energy within the product is given
approximately by:-

or

Therefore the efficiency improves as the product substance (TR) increases, that is,
for a given product, as the thickness exposed to the radiation increases.
[0006] We have also discovered that using this process if the value of Z = 1.25 or less,
then for all practical purposes the product can be taken to be uniformly irradiated.
By re-arrangement of equation (1)

and substituting the value Z = 1.25 in (5) shows that the limiting value for the product
substance (TR) is then:

and the efficiency of absorption of the radiation is then, from (4):

[0007] In practice because of manufacturing and customer requirements it is seldom possible
or practical to arrange that the product substance (TR) is exactly equal to 250 kg/m
2. Significantly greater values lead to unacceptably high values for Z whereas lower
values, which are often the most convenient to use, lead to even lower absorption
efficiencies for the process.
[0008] We have now found that it is possible to improve significantly the absorption efficiency
of the process, without a corresponding increase in the dose ratio (Z).
[0009] In accordance with the invention, the articles are first assembled in an array of
such thickness that on irradiation on one face the dose received at half the thickness
from that face is significantly less than half the dose adjacent that face and may
be as little as one-quarter of that dose. The array is then irradiated equally on
both faces, divided midway between those faces and re-assembled with those faces in
contact with one another to form a new array which in its turn is irradiated from
each of the two newly-exposed faces to the same exposure as before. (Doses are to
be considered equal if their result is substantially the same; as explained, for most
purposes total doses in a ratio between 1.25:1 and 1:1.25 may be taken to be equal,though
doses in individual radiation passes will often need to be more closely equal; and
although the division is preferably exactly on the mid plane, some displacement will
be acceptable and may be necessary in some cases).
[0010] For a better understanding of the invention, it will be further described, by way
of example and illustration, with reference to the accompanying drawings in which
Figure 1 is a flow diagram illustrating the principles of the invention and Figure
2 is a simplified diagram of a typical gamma-irradiation plant.
[0011] As shown in Figure 1, spools of insulated wire or other articles to be irradiated,
reference 1, are assembled into an array (Figure 1 (b)) comprising layers 2 and 3
in a radiation-transparent package 4, which may for example be a box, a pair of boxes
(one for each layer), a multiplicity of boxes, or any other form appropriate to the
material and form of the articles; boxes may be gas-tight tanks or any other suitable
boxes; in particular they may be paper-board cartons used in conjunction with flexible
container, as described and claimed in another patent application in the name of BICC
Public Limited Company filed on the same day as this application and claiming priority
from British Application No. 8131144 filed 15 October, 1981.
[0012] As' an aid to following the orientation of the articles in subsequent steps, the
flanges of one pair of spools is letter a, b, c, d respectively, and the outside faces
of the array bear the references 5 and 6 respectively.
[0013] Figure 1 (c) shows the array from the front as it first approaches the irradiation
zone following the route designated 7 in Figure 2. This takes the array past the radiation
source 8 (comprising a number of tubes 9 filled with pellets of an appropriate radioactive
material) so that the array 4 is first irradiated on the face 6. The array 4 then
advances, without change of orientation, round the end of the source 8 and back along
the other side of it, so that the array is now irradiated for a second time but on
the opposite face 5.
[0014] In accordance with the invention (Figure 1 (d)) the array is split and its layers
2 and 3 are each reversed in orientation, without changing places, so that flanges
b and c, which were previously adjacent one another and close to the mid-plane 10
of the array, are now presented at the faces 5 and 6 respectively of the array, and
the re-formed array is again passed along the path 7 (Figure 2) for further irradiation.
[0015] The initial radiation dose at the mid-plane (10 in the illustration), resulting from
the first irradiation on the first face (6) of the array is preferably in the range
0.4 down to 0.25 of that adjacent to this face. Taking the extreme case where it is
0.25, then from equation (3):


where (TR/2) is half of the product substance presented to the radiation. Since the
product array presents a total substance path TR = 500 kg/m
2 it can be seen from equation (4), that the nett efficiency of the process will then
be E = 0.94
[0016] Because of the symmetrical radiation process the dose ratio Z within the product
will still be 1.25 and the same as if an array of one half of the thickness had been
irradiated on two opposite sides without splitting.
[0017] Assuming each irradiation produces unit dose on the outer face of the array upon
which it is incident the doses within the splittable array at each step would be as
follows:

Example 1
[0018] A PVC insulated copper equipment wire has a solid conductor 0.6 mm diameter and radial
insulation thickness 0.25mm (overall diameter 1.10 mm), so that the mean density of
the insulated wire is 3307 kg/m
3. This is wound on a cardboard reel, the width of winding between flanges being 0.067
m.and the substance path through the flanges being negligible. The wound density of
the wire D is 2150 kg/m
3 and so the product substance path (flange to flange)is 0.0067 x 2150 = 144 kg/m
2.
[0019] Irradiation was conducted with the spools in pairs, flange to flange, to make up
a product package two spools thick, giving a substance path of 2 x 144 = 288 kg/m
2, too high for the conventional technique. The array was processed in accordance with
the invention, and the incremental dose at the mid-plane of the array source in each
pass being about 0.4that at the face nearest the radiation source. In the first irradiation
on each side of the package, the dose adjacent to each of the flanges was measured
and found to be about 2.94 and 2.89 Mrad respectively, whereas the dose at the centre
flanges was found to be 2.30 Mrad. In the second irradiation, the corresponding measurements
were (outer) 2.92 and 2.95 Mrad, and (centre) 2.33 Mrad. The nett result was therefore
that all spool flange positions received a practically equivalent dose of about 2.93
+ 2.31 = 5.24 Mrad. The estimated ratio of maximum to minimum dose within an individual
reel winding, as given by (1) is:

which is in good agreement with the experimentally observed value of:

The absorption efficiency for the package was, from equation (4):

For a package of single spool thickness Z would have been the same but the efficiency
would have been reduced to 0.54. Using the method of the invention in this particular
case increases the efficiency by about 50 per cent.
Example 2
[0020] A twin jumper wire has the following dimensions:

Because of the low value of product substance path per spool it is possible to place
two spools flange to flange and to consider these as a single entity having an effective
substance path = 200 kg/m
2 which is still less than the optimum value of 250 kg/m
2, which would give a value of Z = 1.25 for conventional processing.
[0021] The array formed therefore comprises two halves each containing a pair of spools.
The total substance path of the array is:

[0022] The ratio of the incremental dose received in one pass at the mid-plane of the array
to that nearest the radiation source was about 0.33.
[0023] After the first half of the process and before splitting and re-assembling the package
the mean doses 'measured through the package were:

[0024] On completion of the process the doses were therefore: for the flanges irradiated
at the centre and outer positions, 2.78 + 1.6 = 4.38 Mrad; and for the flanges irradiated
in the quarter and three-quarter positions, 2 x 1.75 = 3.5 Mrad. Consequently the
ratio of maximum to minimum dose was:

which was also the dose ratio across the winding on individual spools.
[0025] From (4) the efficiency of the process in accordance with the invention is:

[0026] For this wire, had the array consisted of either single spools, or paired spools,
of the same size then the absorption efficiencies in conventional processing would
have been 0.42 and 0.67 respectively and the dose ratios (Z) 1.04 and 1.15 respectively.
[0027] Using the method of the invention in this case improves the efficiency by about 100
per cent compared with that obtainable on a single spool thickness package and by
about 31 per cent compared with that obtainable with a double spool thickness package.
1. A method of irradiating discrete articles with gamma rays in which the articles
are first assembled in an array of such thickness that on irradiation on one face
the dose received at half the thickness from that face is significantly less than
half the dose adjacent that face, but not substantially less than one quarter of that
dose, the array is then irradiated equally on both faces, divided mid-way between
those faces and re-assembled with those faces in contact with one another to form
a new array which in its turn is irradiated from each of the two newly exposed faces
to the same exposure as before.
2. A method of irradiating coils of insulated wire or cable with gamma rays in which
the coils are first assembled in an array of such thickness that on irradiation on
one face the dose received at half the thickness from that face is significantly less
than half the dose adjacent that face, but not substantially less than one quarter
of that dose, the array is then irradiated equally on both faces, divided mid-way
between those faces and re-assembled with those faces in contact with one another
to form a new array which in its turn is irradiated from each of the two newly exposed
faces to the same exposure as before.
3. A method as claimed in Claim 1 or Claim 2 in which the initial radiation dose at
the mid-plane resulting from the first irradiation on the first face of the array
is in the range 0.4 down to 0.25 of that adjacent to this face.
4. A method of irradiating PVC insulated equipment wire substantially as described
with reference to Example 1.
5. A method of irradiating twin jumper wire substantially as described with reference
to Example 2.
6. Wire, cable, or other articles irradiated by the method claimed in any one of the
preceding claims.