Appendix A Algorithms
292
a. Pairs:
− Pair 0: E
1-2
= 0.79 * E
1
+ 0.85 * E
2
− Pair 1: E
2-3
= 0.65 * E
2
+ 0.65 * E
3
− Pair 2: E
3-4
= 0.65 * E
3
+ 0.65 * E
4
− Pair 3: E
4-5
= 0.82 * E
4
+ 0.97 * E
5
− Pair 4: E
5-6
= 0.97 * E
5
+ 0.82 * E
6
− Pair 5: E
6-7
= 0.65 * E
6
+ 0.65 * E
7
− Pair 6: E
7-8
= 0.65 * E
7
+ 0.65 * E
8
− Pair 7: E
1-8
= 0.79 * E
1
+ 0.85 * E
8
− Pair 8: E
2-8
= 0.60 * E
2
+ 0.60 * E
8
− Pair 9: E
3-7
= 0.60 * E
3
+ 0.60 * E
7
− Pair 10: E
4-6
= 0.60 * E
4
+ 0.60 * E
6
b. Triples:
− Triple 0: E
2-3-4
= 0.25 * E
2
+ E
3
+ 0.25 * E
4
− Triple 1: E
6-7-8
= 0.25 * E
6
+ E
7
+ 0.25 * E
8
c. Quads:
− Quad 0: E
2-3-7-8
= 0.45 * E
2
+ 0.45 * E
3
+ 0.45 * E
7
+ 0.45 * E
8
− Quad 1: E
3-4-6-7
= 0.45 * E
3
+ 0.45 * E
4
+ 0.45 * E
6
+ 0.45 * E
7
d. All: E
1-2-3-4-5-6-7-8
= 0.063 * E
1
+ 0.21 * E
2
+ 0.60 * E
3
+ 0.21 * E
4
+ 0.068
* E
5
+ 0.21 * E
6
+ 0.60 * E
7
+ 0.21 * E
8
The above formulas assume the source locations with respect to the detectors as
shown in Figure 135. The locations were chosen for maximum probability of
activating a respective sum zone. The values of the constants are based on the typical
experimental (measured) data.
The efficiencies derived as per above formulas assume that the unit has been
calibrated as described in 1. This ensures reliable operation of the sum zones for most
of the applications.
Note that if required the sum zones may also be individually calibrated as per specific
user’s requirements.