Quant Initialization

Before any quantitative results can be obtained, the detector parameters and the analysis parameters must be set. Important Note: the system must be calibrated before meaningful quant results can be obtained!

Quant Initialization - Detector Parameters

Detector Parameters are accessed via the menu command
Analysis → Setup Detector:
Setup Detector dialog

The user is allowed to select from a variety of Window types. Depending on the window type, the user can select from the list of Crystal types, if applicable. Depending on both the window and crystal types, the user can adjust the following thickness parameters: window, aluminum layer, crystal, front contact, dead layer, and ice layer. Not all thickness parameters are applicable, depending on the choice of window and crystal. The default Physics values used by Revolution for electronic noise and Fano factor are shown but cannot be changed by the user. The linewidth (at Manganese) is editable but it is highly recommended that the user allow the program to determine this value.

The four Geometry parameters are also available, defined in this diagram (angles shown in red): detector_geometry - figure presently incomplete

When all Setup Detector settings are correct, hit OK to enter them into the program preferences.

Important operating note: A single well-defined emergence angle rarely reflects the actual measurement situation. Sample surface properties cause this value to be ill-defined unless care has been taken to clean and polish the sample flat. In addition, the beam is being scanned across the sample from a point source, causing a slightly different emergence angle to apply for each pixel being probed. Therefore, the emergence angle value is at best an integrated effective value for the sample, and within limits can and should be treated as a freely adjustable parameter to maximize accuracy of quant results (see discussion of background subtraction below).

Quant Initialization - Analysis Parameters

Analysis Parameters are accessed via the menu command
Analysis → Setup Analysis:
caibrate spectrum info box

Analysis Options
Methods → Determines whether Peak ID functionality is handled automatically by the program or allows manual intervention. Also used to select Bulk (ZAF) or Thin-Film (modified ZAF) analysis.
Peak Sensitivity → A measure of the peak-to-background ratio that must be exceeded before a peak is included for identification. Default value is 3.5.
Element Threshold (%) → A measure of the certainty required to label a peak as belonging to a particular element. If the membership function as determined by the fuzzy logic engine is less than the threshold value, then the peak does not belong to the element being tested. Within the internal database of elements, each element has its own measure of probability which is directly compared to the threshold value. These values are updated over time as the program becomes "smarter." Default value is 40.00.
Operating note: There is no straightforward interpretion of the threshold value except in the context of Fuzzy Logic, which is beyond the scope of this manual. Likewise, there is no straightforward procedure for adjusting the Peak Sensitivity and Element Threshold values to improve PeakID or Quant results. As a general rule, the primary strategy is to gradually reduce Sensitivity; a secondary strategy is to lower the Threshold.
Show ROIs → When selected, highlights a spectrum with ROIs calculated by the program. Note: these ROIs are not the ROIs associated with x-ray mapping or simple EDS acquisition! These ROIs are not accessible to the user.
Show Qual. Results → Toggles display of the Qualitative report, which appears below a spectrum.
Show Bkg Subtracted → Toggles display of the background subtracted spectrum. The quality of a background-subtracted spectrum is crucial to the accuracy of any Quant results! (The background-subtracted spectra are most easily viewed in log scale).
Enable Carbon → Includes or excludes Carbon in Quant Analysis. Useful for example if the sample is carbon-coated and the user wishes the program to ignore this.
Use Standards → Quantify with Standards. Required for accuracies better than about 5%. See Making A Standard further down this page for more information.
Normalize → Forces percentage calculations to add up to 100. If off while using standards, non-normalized results will be calculated for any elements that lack a standard or are specifically excluded.
Treat as Oxides → Attempts to classify elements as common oxides in conventional formulas (e.g., carbon dioxide, CO2), according to the Edit Oxides table. Normalization is forced (calculated oxide percents will total 100). Treat as Oxides should be turned off for hydrocarbon (polymer) analysis. The treat-as-oxides check box will toggle the Normalize, Oxide Percent, and Cation checkboxes (see below).
Edit Oxides → Define which oxides to use for oxide analysis. The table consists of all commonly encountered oxides in EDS work. Entries can be manipulated with certain limitations. For example, CO2 can be changed to CO, but N2O5 cannot be changed to an oxide without Nitrogen. Note: changes to the Oxide table are not saved until both the Oxide table dialog and the Setup Analysis dialog are dismissed using the OK button!
Element by Difference →
Element by Stoichiometry →
Result Options

Display by → Set Quant results to display by Chemical Symbol, Element Name, or Atomic Number. Default is Chemical Symbol.
Sort Results by → Set Quant results to sort by Chemical Symbol, Element Name, Atomic Number, Weight Percent, Atomic Percent, Oxide Percent, or Peak Energy. Default is Atomic Number.
Weight Percent → Toggle display of Weight Percent.
Standard Deviation → Toggle display of Standard Deviation. Only applies to calculation of Weight Percent.
Atomic Percent → Toggle display of Atomic Percent.
Min. Detectability Limit → Toggle display of Minimum Detectability Limit. Only applies to calculation of Weight Percent.
Oxide Percent → Toggle display of Oxide Percent. Only available if Treat as Oxides is on (see above).
k-Ratios → Toggle display of k-ratios. See discussion of ZAF and Cliff-Lorimer analysis methods.
Intensities → Toggle display of line Intensities. The intensities are the integrated counts for each ROI that is calculated by the program.
Probability → Toggle display of Probability. Probability is a confidence level that the results are correct. For Quant results, the probability values are a conglomerate of several of the results for each element.
FWHM → Toggle display of representative full-width at half-maximum for an element. Note: the only meaningful measure of resolution is the FWHM at the Manganese line.
Use Line Labels →
ROI Counts →
Cations →

Quant Initialization - ZAF and Cliff-Lorimer Corrections

Revolution 1.5.6 uses a standard ZAF correction for bulk analysis and a modified ZAF for thin-film analysis; the use of standards is highly recommended for accurate results.

The basic form for the ZAF correction is: ZAF correction equation
where C is concentration, I is x-ray line intensity, and F is the ZAF matrix correction. The subscript SD refers to the same quantities for the standard element in use for the analysis. If standardless analysis is being used, a mathematical model of the standard is substituted.
The quantity F can be further broken down into multiple corrections: ZAF correction equation
which comprise effects due to atomic number (Z), which includes the effects of backscattering and stopping power, x-ray absorption (A), and x-ray fluorescence (F).
For any particular element, the ratio of intensities (sample/standard) is the k-ratio (a measured quantity): ZAF correction equation
The ZAF correction generally applies to bulk specimens, defined as one that is thick enough that the x-ray generation volume for each element is contained within the sample. If bulk effects can be neglected (in thin-foil samples for example), the complex ZAF correction can be replaced by the Cliff-Lorimer simplification, in which a "k-factor" characterizes the relationship between elements.
For any 2 elements A and B this ratio is defined as the k-factor (an entered quantity): ZAF factor equation
The Cliff-Lorimer approach can be extended to multielement systems by determining k-factors relative to a single element (often Si). Experimental determination of the k-factors accurately reflects both x-ray absorption effects in the sample and x-ray detector efficiency. Note the mathematical similarity between the k-factor and the ZAF correction (F) in Equation 1.

Strictly speaking, the ZAF correction requires a standard for each element that is being quantitatively analyzed. The Cliff-Lorimer correction requires a k-factor for every element that is being quantitatively analyzed, but a standard is only required for the initial characterization of the detector. Since it is ZAF only, Revolution cannot use, nor does it require, k-factors. The ZAF k-ratios reported in quantitative results are not related to the Cliff-Lorimer k-factors.

Peak Identification

Revolution's Peak ID feature allows the user to make quick and accurate identifications of elements in a spectrum. Clicking on the id button in the upper left of the EDX Spectra Mode Toolbar (see below) automatically analyzes the spectrum and presents an identification report. Peak Identification can be performed in either automatic or manual mode (below).

A sample spectrum in a catalog is shown below, before identification:

peakid unidentified spectrum

When a catalog is open and a spectrum is being acquired or has been acquired, the user may hit the id button (or select the Analyze → Identify menu item) at any time to perform a peak identification. During an acquisition, the peak identifications may "lock" (appear) and "unlock" (disappear) until sufficient statistics are obtained.

peakid_button


The element labels are displayed in proximity to each peak (here, Gold and Copper):
peakid_spectrum

klm_button


KLM markers can be independently overlaid at any time (Gold shown):
peakidklm_spectrum

roi_button


Manually defined ROI markers can also be independently overlaid at any time (Cu-K shown):
peakidklmroi_spectrum

A future update to Revolution will include an option to adjust the placement and appearance of the element labels.

There are three additional options available with the qualitative PeakID capability, all accessed through the Setup Analysis dialog box (choose Setup Analysis from the Analysis menu): Show ROIs, Show Qual. Results, and Show Bkg Subtracted.

When Show ROIs is turned on, the Peak ID routines will automatically calculate a FWHM value for each identified peak and overlay the spectrum. Note that these ROIs are internally calculated and not accessible to the user. If the manual ROI marker for an element happens to be turned on, the Show ROIs function will override the manual ROI definition and overlay the true FWHM value for the element.

show_fitted_checkbox


The Show Bkg Subtracted checkbox performs a background subtraction on the spectrum (shown in log scale for clarity):
show fitted peakid spectrum

show_results_checkbox


The Show Qual. Results checkbox performs a qualitative analysis on the spectrum and presents the results in a small report (highlighted). What appears in the report is determined by selections in the Setup Analysis dialog box.
show results peakid spectrum

The report is able to identify primary peaks in the spectrum, assign elemental IDs, list relative intensities, and a probability (see Setup Analysis for definitions of these report items). The intensities are integrated counts in the element ROIs. The probability can be strongly affected by even a small miscalibration. Again, it is critical that a precise calibration be performed for accurate PeakID results.

There may be times when the Auto Peak ID returns questionable results. This may occur if an element's entry in the Fuzzy database is skewed, either because of poor calibration or a previous lack of identification. If a user knows what elements are present, the automatic capability can be manually overidden to force the Peak ID routines to analyze only selected possibilities.

Invoke manual mode from the menu in the Setup Analysis dialog box: select manual identification
Select Edit Manual from the Analyze menu: edit manual id elements
The Manual Identify Setup dialog box appears. Select the elements to be forced (in this case gold and copper) and hit OK. The Peak ID results will be automatically updated in the spectrum window. choose elements for manual identification

Peak Identification Operating Notes

Quant Analysis

With a catalog open and showing an acquired spectrum, click the Quant button on the EDX toolbar to activate quantitative analysis and display the quantitative results report:

###qnt

Note: on slower machines, leaving the qnt button selected during acquisition can cause undesirable system slowdowns as Revolution continuously tries to analyze the changing spectrum.

Edit Spectrum Info dialog box

Quant Operating Notes

Making a Standard

Before a standard can be made, a spectrum must be acquired (in this example, a Copper and Gold sample, independently known to be a 40/60 mix):
A quant analysis performed on the spectrum should be close to the correct analysis (blue):
To create any standard, make sure the spectrum to be used is displayed in the catalog, select Analyze → Make Standard, and fill out the dialog box according to the known composition:

Enter values for up to 12 elements in the current spectrum in terms of: Weight Fraction, Weight Percent, Atomic Percent, Oxide Percent, or Number of Atoms. The values must sum close to 1.0 or 100% in order for the OK button to be enabled. Clicking OK makes the current spectrum a standard.

Elements may be individually excluded. See examples under Using a Standard (below) for more information.

The number of standards may be extended beyond the available edit fields in the dialog box. See discussion of Import and Export below.

Making the spectrum a standard necessarily changes the analysis. The Weight Percent and probability match the definition of the standard (blue). The spectrum is listed as a standard for reference (red). The Standard Deviation and MDL are generally reduced because the statistics exclude alternate analyses (green):

Operating note 1: For correct Quant analysis on any particular spectrum, all standard spectra as well as the target spectrum must have been acquired with a common ev/channel setting and the same accelerating voltage.

Operating note 2: The full Revolution Quant module must be active for either standardless quant (also known as "semi-quant") or quant with standards.

Operating note 3: To remove a standard from consideration temporarily, close the catalog that contains it. Alternately, select the spectrum being used as a standard, select Analyze → Edit Standard, and exclude any or all elements from consideration. To eliminate the spectrum as a standard, click on Discard in the Setup Standard window. See the examples below for more clarification.

Using a Standard

Revolution checks all open catalogs for standards when doing standards-based analysis. The following examples describe the way Revolution interacts with standards:

Example 1. Given a single Cu-Au sample, create 2 catalogs and acquire spectra into each. A spectrum from Catalog 1 is used to make a Gold standard. A spectrum from Catalog 2 is used to make a Copper standard. Neither element has been excluded. Analysis of any subsequent spectrum in any catalog will use the Gold standard from Catalog 1 and the Copper standard from Catalog 2 to perform quant.

Extended Example 1. If Catalog 2 is closed, no subsequent spectrum can be analyzed with the Copper standard until Catalog 2 is reopened. Such analysis will be mixed (and so noted in the report): Gold will be analyzed with the standard and all other elements (including Copper) will be analyzed using standardless quant. Note that for this single-element-standard example, the same thing can be achieved by excluding Copper rather than closing the catalog.

Example 2. Given a single Cu-Au-Mn sample, create a single catalog with 2 spectra. Spectrum 1 is used to make a Gold and Copper standard. Spectrum 2 is used to make a Gold and Manganese standard. No elements from either standard are excluded. Revolution will use as the Gold standard that spectrum which has the highest intensity Gold peak, under the assumption that the higher intensity peak has "better statistics." The same applies even if the 2 spectra are in different catalogs.

Extended Example 2. It is desired to use the low-intensity Gold standard instead of the default high-intensity standard. This is accomplished by selecting the Exclude checkbox in the Setup Standard dialog box for the spectrum with the higher Gold intensity.

Example 3. Given 3 Cu-Al-Mn samples, but with different percentages of Cu-Al-Mn in each sample. Acquire a spectrum from each sample into one or more catalogs. Create a standard for each spectrum. Analysis of any subsequent spectrum will use the highest intensity peaks found in any of the 3 spectra for each element, under the assumption that a higher intensity peak has "better statistics."

Extended Example 3. To modify the usage of the highest intensity peaks from multiple standards, edit each standard to Exclude any element to get the desired dependence.

Example 4. Spectrum 1 is used to make a standard per the method of Weight Fraction. Spectrum 2 is used to make a standard per the method of Atomic Percent. Revolution will perform an internal conversion so that both standards can be used.

Importing and Exporting a Standard

Data in a standard can be exported to disk for safekeeping. Simply choose the Export button in the Setup Standards window. If the standard is ever lost or corrupted, it can be imported again by using the Import button in the Setup Standards window.

An exported standards file can be opened with a text editor, edited, resaved, and imported again. This technique can be used to extend the number of elements in the standard to beyond the twelve that are displayed in the Setup Standards window.

The file is formatted in the following way:

[Global Factors]
Order=Descending
Number of Elements=2

[Type of Concentration]
Weight Fraction=1
Weight Percent=0
Atomic Percent=0
Oxide Percent=0
Number of Atoms=0

[Concentrations]
Element_1=Al
Concentration_1=0.600000
Ignore_1=0
Element_2=Cu
Concentration_2=0.400000
Ignore_2=0

The format of the file should be more or less self-explanatory. The order determines whether elements with the lowest concentrations or highest concentrations appear first when displayed in the Setup Standards window (Ascending or Descending). The number of elements must be set correctly. Only one concentration type should be set to true. For each element, the two-letter designation must be specified, followed by the concentration (a value between 0 and 1.0), followed by the ignore setting, which determines whether an element is excluded from the standard or not.

The file will not be imported if an illegal 2-letter element designation is used, or if there is a formatting error in the text file. If the concentrations do not add up to 1.0 (or 100%, as needed), the file will be imported, but the OK button will only be activated if the sum is close enough to the 100% point.