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How to Choose the Right
Photon Detector Sample Presentation Samples for gamma-ray spectrometry come in all shapes, sizes, chemical and physical forms. The activity you need to measure may be very low in a large sample, or it may be very high in a small sample or anywhere in between. The matrix of the sample may be dense and have a high atomic number, therefore making accurate measurements difficult due to attenuation of the gamma rays. You may be able to position the sample relative to the Germanium detector in a way to optimize the spectrum gathered, and therefore the results. You may have external reasons which define or restrict the choice of how the sample is presented to the detector. Some reasons you may see are:
Remember the MDA (Eq. 1) depends on the absolute
efficiency and the absolute efficiency depends on the
geometry of sample and detector. You may select the sample
geometry from several different containers. Lets look at
some different samples counted on a single detector. In
Fig. 7,
the filter paper was placed directly on the endcap and the
filter active area diameter is slightly smaller than the diameter
of the detector. Would a smaller diameter detector or a larger
diameter detector be better for this filter paper? The best
detector diameter for a disk source on endcap (that is, in
"close" geometry to the crystal) is about 1.2 times the
diameter of the disk (Refs.
5, 6, and 7). A larger crystal does not
increase the efficiency significantly and a smaller detector
reduces the efficiency. The form of the sample also has an
impact on the efficiency. Three different geometries are
shown in Fig. 10 and you can see the filter geometry is, by far,
the best of the three examples. So if you can, you should make
disk samples rather than use the larger sample containers.
In Fig. 11, 1 L and 2 L Marinelli beakers are compared on the same detector. It may seem at first surprising, but the 1 L beaker has a higher efficiency than the 2 L. The reason is back to simple geometry. The 1 L beaker puts a greater proportion of the sample closer to the detector. Thus 1000 Bq of activity in the 1 L beaker will produce more counts in the spectrum than 1000 Bq in the 2 L beaker. However, and it is important, if there is enough sample to fill the 2 L Marinelli, then the 2 L beaker will produce lower MDC (minimum detectable concentration MDA/volume) because of the larger sample. Marinelli Beaker or a Bottle?Figure 12 shows that a Marinelli beaker has about 3 times the efficiency of a bottle geometry. The Marinelli beaker utilizes the sides of the detector thereby gaining efficiency. At low energies, however the aluminum endcap wall, (replaced by beryllium or carbon fiber on the face of the GMX detector), will attenuate the gamma rays, thus reducing the advantage of the Marinelli. What About "Wrap-Around" Geometries? Figure 13 shows that a small disk on endcap has a higher efficiency than a sample wrapped around the curved surface of the detector. This initially surprising result can be explained as follows. Imagine a point source placed on the curved endcap surface. Directly below the source, the germanium is as close to the sample as if it is on the face of the endcap. However, when you consider gamma rays emitted at an angle, the curved surface puts the sensitive Ge further away from the source than it would be on the flat endcap face. However, as in the case of the 1 L and 2 L Marinellis in Fig. 12, if you can make the sample as large as the area of curved surface (much larger than the amount on the front flat surface), the curved surface has the highest efficiency in terms of counts in the spectrum per unit activity of the source. The cylindrical surface area in the detector in Fig. 10 was 15 times that of the flat disk on the end face of the crystal, which would more than offset the differences shown in the curves. |