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Step-by-Step Example to Generate the Gamma-Ray
Spectrum of Old Sample of Low-Burnup Plutonium Oxide



The SYNTH Title Screen


Because all of the pertinent parameters were saved in a SYNTH "project file" the first time the problem was solved, I can simply recall them by using the "File Open" option on the menu bar of the main form [primary user interface] to select a "project file" to read in.

In this example, the actual experimental details of a real laboratory measurement were used as input parameters to the SYNTH code in order to model the experimental results. The generated spectrum is then visually compared to the experimentally acquired spectrum.

The sample consisted of about 100 grams of 20 year old low-burnup plutonium in the chemical form of PuO2. The sample was physically contained in two concentric steel pipes. The isotopic data used for generating the source term was taken from the original laboratory records generated when the source was prepared. The contemporary gamma-ray spectrum was acquired using a 30% HPGe detector.
The following steps are shown with screen shots and detailed explanations below:




















Selecting the project file

Opening the Project File

All of the pertinent parameters for each of the sections [Sample, Source term, Absorbers, Detector, Electronics] are recalled, and loaded into the respective forms. The information may then be edited, or just processed before going on to the next form. The forms may be filled out in any order. In this example, the information is worked from left to right.






Physical Properties of the Sample Matrix


The Physical properties [dimensions, mass, bulk composition], and the source-to-detector distance are entered on this form. For point sources [dimensions and mass = 0], only the source-to-detector distance is pertinent. For finite sources, the plot of self absorption as a function of energy may be quite instructive.

 




Defining the source term

Defining the Source Term(s)


Element

First, select an element, by using the pulldown menu box located inside the "Element" frame or pressing the "Periodic Table" button, also located inside the "Element" frame. If the "Periodic Table" button is pressed, a picture of the periodic table will appear on the screen. You can select an element by pressing its corresponding button (i.e., to select iron, press the button labeled "Fe").

Isotope

Second, if the RADIOACTIVE SOURCE option is selected, specify the atomic number (A) of the radioisotope, if the correct value is not already displayed. To change the atomic number, either type the correct value into the text box inside the "Isotope" frame or click the spin button (the two arrows). Clicking on the left arrow decreases the "A" value by 1, and clicking on the right arrow increases the "A" value by 1.

Note: DO NOT specify a value outside the min/max range (displayed underneath the "Quantity" frame). No isotopes for the selected element exist outside of the specified range (each element has a different range). The scroll bar does not leave this range.

If the element is metastable, click the pulldown menu box and select the "m." If it is not metastable, click the pull-down menu box and select the blank line.


Quantity

Next, specify the quantity of the radioactive source, (or the composition of a sample to be irradiated in a neutron flux if the NEUTRON ACTIVATION option is selected). First, using the keyboard, type the numeric part of the quantity (such as "5" for the quantity "5 grams") into the text box inside the "Quantity" frame. Then, using the pull-down menu box next to the value you just typed in, select the unit. If the RADIOACTIVE SOURCE option is selected, the three choices are Bq (disintegrations per second), Curies, and grams. For the NEUTRON ACTIVATION option, the composition of the sample may be entered as percent (%), parts per million (ppm), parts per billion (ppb), parts per trillion (ppt), or grams. All fractional compositions are weight ratios, rather than atom ratios!

Daughters

If you want to specify that daughters in equilibrium with the primary source term be included, click the check box marked "Daughters" in the "Decay Time" frame (if not, skip this step). If the NEUTRON ACTIVATION option is selected, this is the place to enter the decay time (Tdecay) between the End of Irradiation (EOI, or Tzero), and the beginning of the counting period (Tcount). If this is done, the appropriate Bateman equations for complex decay will be evaluated using the decay time described in the next paragraph.

Now specify the numeric part of the decay time (such as "1000" for the decay time of "1000 years") by typing it into the text box inside the "Decay Time" frame. Then, using the pull-down menu box to the right of the text box, specify the units. The choices are (s)econds, (m)inutes, (h)ours, (d)ays, and (y)ears.

You can also specify the decay time by using the Decay Calculator. To use the calculator, press the button with the picture of the calculator on it. First, enter the starting date and time into the top row of text boxes. Second, enter the ending date and time into the second row of text boxes. Third, press the button labeled "Calculate" to find the time difference between the two dates.

Finally, press "Return" to accept this value or "Cancel" to exit the Calculator. (Note that you cannot press "Return" until "Calculate" is pressed.) After you press "Return," the difference between the two dates will be placed in the "Decay Time" frame on the Source Terms form.

Note: The valid range for starting and ending years is from 1753 to 2078, inclusive. You will not be able to specify a decay time unless the check box labeled "Daughters" is checked.

 




Results of the library search

Results of the Library Search

After the library search is completed, the detailed results are available for viewing. The code makes an attempt to identify possible "redundant peaks" that may exist in the result set. The user has the opportunity to review, and accept or reject the items on the list.

 



Defining the absorbers

Defining the Absorbers

A graph of the composite transmission function as a function of energy is displayed during the absorber selection process, and is quite useful in itself. The display has an extra feature that allows the user to interrogate the graph with the mouse to extract numerical values, if needed. The latest version of SYNTH retains all original selections and allows up to nine additional "User Defined" regions in which any element may be specified as an absorber. Each element selected is initially offered at a default density, but the density may be adjusted to any desired value. This capability allows almost any absorber material to be simulated.

How to Define the Absorbers

First, select the absorber you want to include by clicking on its corresponding check box (i.e., to select Water, click on the "Water" check box). This will place a check mark in the box next to the absorber type.

Note: The absorber "Air" is calculated automatically by subtracting all of the other absorber thickness' from the total distance from the source to detector.

To deselect an absorber, just click on it again and the check mark will be removed.
Next, type in the absorber thickness, in centimeters, in the text box to the right of the absorber name.

Note: Only positive, real numbers are allowed in these text boxes.

If you want to see how this absorber affects the attenuation curve as displayed on the graph, push the button labeled "Update." Repeat the above steps for any other absorbers you wish to include.

Note: If you wish to specify an absorber that is not on the list, there are two options. 1) select the User Defined menu option, and define your own, or 2) select one that is closest to it in composition and density (i.e., If you wanted aluminum as one of the absorbers, you might choose "Concrete," and then adjust the thickness to compensate for the difference in densities).

It is also worth noting that almost all organic materials (i.e., most woods, rubber, cardboard, linoleum, paraffin, etc.) can be described by the same surrogate material; H20, or CH2. As an aid to this process, the following Table is provided.


 

Densities of Some Common Materials*

Asphalt 1.10  -  1.50           Porcelain          2.30  -  2.50
Brick   1.40  -  2.20                   Rubber, hard       1.19
Cardboard        0.69                   Rubber, soft       0.91  -  1.10
Cork    0.22  -  0.26                   Tar                1.02
Glass, common    2.40  -  2.80          Wood (seasoned):
Linoleum         1.18                   Oak            0.60  -  0.90
Mica    2.60  -  3.20                   Cedar          0.49  -  0.57
Paper   0.70  -  1.15                   White Pine     0.35  -  0.50
Paraffin         0.87  -  0.91

* g/cm3, from the CRC Handbook of Chemistry and Physics (1966)


 




Defining the detector parameters

Defining the Detector Parameters

How to Set the Detector Characteristics

The first step is to select the desired detector material. The choices include planar and coaxial germanium, NaI(Tl) [1" x 1", 2" x 2", 3" x 3", and 5" x 2"], and BGO [1.5" x 1.5"].

One at a time, specify each characteristic of the detector by typing in the value you want into the corresponding text box. Depending on the type of detector selected, some of the fields may be unchangeable or unavailable (i.e., when an NaI 3" x 3"; detector is selected, you cannot change the diameter or length -- they are fixed at 3 inches. Also, the deadlayer field is not applicable to this type of detector.)

End Cap Thickness: Thickness of the end cap material. The value is generally less than 1 mm.

End Cap Material:

To select the end cap material, use the pull-down menu box to choose between aluminum, beryllium and stainless steel.

End Cap Spacing:

Using the manufacturers data sheet, enter the distance between the end cap and the surface of the detector.

Dead Layer Thickness:

For P-type germanium detectors, enter the thickness of the dead layer. The value should be on the order of 1 mm. This should be zero [or very small] for N-type germanium, and all scintillation crystals.

Diameter:

Outside diameter of the crystal.

Length:

Overall length of the crystal.
Efficiency:
For germanium detectors, this is the standard stated efficiency value [relative to a 3x3 NaI(Tl) @25 cm]. Unused for Scintillators.

Resolution:

For germanium detectors, this is the standard stated resolution value [FWHM @ 1332.5 keV]. For Scintillators, it is usually given in % [FWHM @ 662 keV].
Note: The models used here were designed to describe the types and range of detectors most commonly used in the laboratory environment. Although the models are fairly robust, they cannot be extended without bound, and thus, can give non-physical results if extended too far. IF IT DOESN'T MAKE SENSE, DON'T BELIEVE IT!
 




 Defining the electronics configuration

Defining the Electronics Configuration

How to Specify the Counting Parameters

Type in numeric values for any of the categories (count time, zero, gain, linearity, or channels) if they are not already suitable. As an aid in setting up the energy calibration, the Full Scale Energy (keV) for the current settings is calculated, and displayed.

 




Graph of the generated Gamma-Ray Spectrum

Graph of the Generated Gamma-Ray Spectrum

The spectrum generated from the parameters specified in the previous forms is plotted as a function of channel. The spectrum may be saved in a number of different data formats, compared to a reference spectrum, or viewed in detail. Some of the available options are described below.

Statistical Noise:
To add statistical noise to the generated spectrum, click on the check box labeled "Statistical Noise." Press the "Update" button to see the results.
Background:
To add an existing background spectrum to the generated spectrum, click on the check box labeled "Background."
Choose an ADCAM, IAEA, IEEE, S100, CAM, or ASCII format spectra file for the background spectrum.
Specify the Normalization Factor. Choose from: "Use As Is," "Ratio by Live Time," or "User Defined Value." If you select "User Defined Value," a text box will appear where you can enter the normalization factor.

Note: Because the Normalization factor may be negative as well as positive, this option may also be used for spectrum stripping as well as for building up a complex spectrum from a number of simpler components.

Press the "Accept & Normalize" button.

Press the "Update" button to see the results.

Note: It is sometimes useful to generate a "background" spectrum with one set of counting parameters, absorbers, and nuclides, then add it to a specific source term to be modeled.
Reference:
To compare the generated spectrum to an existing Reference spectrum, click on the check box labeled "Reference."   Follow all of the steps listed above for adding a "Background" spectrum.

 




An expanded view of the spectrum

An Expanded View of the Spectrum

The Pan / Zoom tool allows the generated spectrum [and a reference spectrum, if loaded] to be examined in greater detail. To zoom-in on any portion of the spectrum, just click the left mouse button on the upper left corner of the region to be expanded, and drag the mouse to the lower right corner of the region. When the mouse button is released, the specified region will be expanded to fill the viewing area. By default, a mini-graph showing the entire spectrum, with the selected region outlined in blue, will appear in the upper right corner of the window. Multiple zooms are allowed, and you can zoom-out one step at a time by clicking the right mouse button anywhere on the expanded portion of the spectrum. By clicking the right mouse button when the cursor is over the mini-graph, the view will revert to the entire spectrum.

Some of the data items displayed:

Energy:  Displays the value of the energy, and Full Width at Half Maximum (FWHM) in keV for the current cursor position.

Channel:  Displays the value of the channel number for the current cursor position.

Counts:   Displays the value of the counts for the current cursor position.

Integral:  Displays the integral of the currently displayed region for the synthetic spectrum, and if present, the reference spectrum.

ROI:  If the cursor is in a Region of Interest (as defined in the ROI Setup screen, and shown in red on the plot) the Gross, and Net integral will be displayed.


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