1.1. History

1.1.1. Previously, samples submitted to the OSHA Laboratory for qualitation were analyzed manually using a Finnigan Model 8000 X-ray Spectrometer. This instrument was an Energy Dispersive X-ray Fluorescence (EDXRF) Spectrometer that used non-monochromatic X rays and support software which produced spectral scans of limited information (5.1).

1.1.2. Neutron Activation Analysis was also used for element identification. This analysis was non-routine, complicated, time consuming, expensive, and required a reactor-certified analyst (5.2).

1.1.3. Inductively Coupled Plasma-Atomic Emission Spectroscopy (ICP-AES) is generally used for quantitative analysis. All or a portion of the sample is destroyed or altered in the process of analysis. With proper selection of analytical lines, ICP-AES can provide qualitative element identification, but is typically limited to metal analyses. Simultaneous ICP instruments generally analyze fewer elements than EDXRF instruments, and are not routinely used at the OSHA Salt Lake Technical Center (OSHA-SLTC) for qualitative analysis (5.3).

1.1.4. This method was evaluated using the OSHA Laboratory's XRF system. It consisted of a Kevex 770 X-ray generator, its associated satellite box, vacuum system, helium flush system, firmware-based 8000 keyboard console, computer monitor, Digital Equipment Corporation (DEC) 11/73 computer, graphics memory, Kevex spectrum analyzer, and Toolbox II software. This method can be adapted to other systems.

1.2. Principles

1.2.1. X-ray fluorescence relies upon the excitation of atoms in a sample by the application of X rays of sufficient energy to cause the promotion or escape of inner orbital electrons and subsequent decay accompanied by characteristic fluorescence.

In an EDXRF spectrometer, X-ray photons are counted and their corresponding energies (kV) are measured. The resultant data set is displayed as a spectrum.

The approximate relationship between an element's atomic number and the energy of individual emission lines for each specific X-ray line series (e.g., the K_a line or the L_b line) is given by Moseley's law:

E = a(Z - s)2

Where:

    E = energy of X ray
    a = proportionality constant
    Z = atomic number
    s = constant for each line series

Moseley's law indicates that an element's spectral lines are a smooth function of the atomic number. The spectral lines for elements with low atomic number (light elements) occur at lower energies than the corresponding lines for elements with high atomic number (heavy elements). The peak energies and spectral group patterns provide for qualitative identification.

1.2.2. Data workup depends on the manner of sample preparation - thin films or thick dusts.

a)	Thin films
	For uniform thin deposits of material on a support medium that is transparent to X rays, EDXRF produces signal intensities that are proportional to the amount of analyte present.
b)	For thick samples and powders consisting of a few grams of material approximately a centimeter deep, non-linear calibration curves or fundamental parameters approaches can be used to account for sample self-absorption and inter-element enhancement effects. By monitoring the Compton and Rayleigh X-ray scatter from a sample, additional corrections may be made for unanalyzed light elements. Most samples analyzed by this method are treated as thick samples and powders.
c)	Non-linear calibration curves can also be used to correct for other instrumental realities (e.g., fluorescing support medium or non-linear effects due to close instrument-sample geometry).

1.2.3. The results from EDXRF analyses are used for analytical support and fit into the following scheme:

SAMPLE FLOWCHART

This approach screens air samples of unknown composition to identify elements in dusts listed in Section 4.1., Table 1. It is also used to make a semiquantitative determination of the composition of bulk samples. The information obtained during the screening is used to determine whether additional time and resources are necessary to quantitatively identify the constituents in bulk, wipe, or certain air samples. Samples analyzed by XRF take only minutes to prepare, are not destroyed in the process, and do not require analytical standards for each screening or semiquantitative determination.

1.3. Method Performance

---

The detection limits reported in this method are based upon the optimization of the instrument for the maximum practical signal. The microgram detection limits reported for air samples are for analyte elements dispersed as aerosols concentrated near the center on the surface of polyvinyl chloride (PVC) membranes. PVC membranes were selected over mixed-cellulose ester (MCE) membranes because the detection limit experiment involved determining the weight of the substance on the membrane. The PVC membrane has shown greater stability during weighing. Membranes composed of MCE, however, give better detection limits than PVC.

---

1.3.1. Analytical detection limit

Detection limits for filter samples are listed and discussed in Section 4.2., Table 2.

a)	Aerosol samples
	The approach used to calculate detection limits is attributed to Birks (5.4) and is given in Bertin (5.5). The following equation (based on Poisson counting statistics) was used to estimate detection limits (DL):
		DL = 3(A/C)(B)1/2
		Where: A = analyte mass, (µg) B = blank counts C = analyte counts
	The blank counts were determined in the same energy region used for profile-fitting the analyte counts. The analyte counts were determined from a peak profile fit of either:
	1) The blank- and background-subtracted analyte peak. 2) The background-subtracted analyte peak in cases where blank subtraction would yield negative counts.
	For aerosol air samples collected on PVC membranes, the detection limit ranged from about 30 µg for elements with atomic numbers below 17 (chlorine) to less than 4 µg for elements with atomic numbers above 17. When determining these detection limits (Section 4.2., Table 2), X-ray tube currents were set to values that give a maximum of 50% dead time on a Lucite monitor. Sample analysis time was 200 s for both blanks and samples. Sub-microgram detection limits are possible for many heavy elements. The use of mixed-cellulose ester (MCE) membranes offers better detection limits than PVC membranes.
b)	For powdered bulk samples, matrix effects can have a profound effect on the lower levels of detection. A wide range of sample types was evaluated in the bulk tests. Based on the data shown in Section 4.3., Tables 4a-4c, the quantitative detection limit of the analytical procedure extends from about 8% for aluminum down to 0.01% for most elements with atomic numbers above 23 (vanadium). Elements that can be quantitated at levels of 0.01% in light matrices may be non-detected at levels of 1% in matrices with severe interferences. Potential worst-case detection limits for powdered bulk samples are presented in Section 4.3., Table 4d.

1.3.2. Instrument response to the analyte

The instrument response is sample and matrix dependent. For air and bulk samples, the lower qualitative limit is the detection limit. For homogeneous powdered bulk samples, the semiquantitative working range extends from the detection limit to near 100% of an analyte.

1.3.3. Recovery

Recoveries are matrix dependent. Typical recoveries for elements in powdered bulk samples are listed in Section 4.3., Tables 4a-4c and portrayed in Section 4.3., Figure 1.

1.4. Advantages

Provides rapid, non-destructive analyses
Affords qualitative information for a large number of elements
Can be semiquantitative
Can identify unexpected elements
Requires no sampling reagents

1.5. Disadvantages

Analysis requires expensive instrumentation and support software
Requires experienced analyst(s)
Limited use in quantitative analysis
Analysis is matrix dependent
Requires information about the sample matrix, chemistry, and suspected elements to achieve the most accurate analysis

2.1. Safety Precautions

2.1.1. Attach the sampling equipment to the worker such that it will not interfere with work performance or safety.

2.1.2. Follow all safety practices that apply to the work area being sampled.

2.2. Equipment

2.2.1. Air sampling

a)	Mixed-cellulose ester (MCE) filters, 0.8-µm pore size, cellulose backup pads, and cassettes, 37-mm diameter (part no. MAWP 037 A0, Millipore Corp., Bedford, MA).
b)	Low-ash PVC membrane filter (use for gravimetric determinations or when quartz determinations are necessary), 37-mm, 5-µ pore size [part no. 625413, Mine Safety Appliances (MSA), Pittsburgh, PA or cat. no. P-503700, Omega Specialty Instrument Co., Chelmsford, MA].
c)	Cellulose back-up pads (support pads) (MSA, Pittsburgh, PA).
d)	Clear polystyrene, 37-mm inside diameter, closed-face cassette, (two-section, SKC part no. 225-2 or three-section, SKC part no. 225-3, SKC, Fullerton, CA).
e)	Gel bands (Omega Specialty Instrument Co., Chelmsford, MA) for sealing cassettes.
f)	Sampling pump Personal samples: Use a personal sampling pump that can be calibrated to within ±5% of 2; L/min with the sampling device attached. Area samples: Use a higher volume sampling pump capable of 5 to 9 L/min.
g)	Cyclone (only if respirable dust sampling is necessary); Nylon, 10-mm (BDX-99R, part no. 7010048-1 Sensidyne Inc., Largo, FL, or part no. 456243, MSA, Pittsburgh, PA). (A flow rate of 1.7 L/min is used.)
h)	Assorted flexible tubing
i)	Stopwatch and bubble tube or meter for pump calibration
j)	Analytical balance (0.01 mg).
k)	Desiccant (Drierite or similar material) and desiccating chamber. (Note: Use only if weights of air samples are desired).

2.2.2. Bulk sampling

a)

Scintillation vials, 20-mL, (part no. 74515 or 58515, Kimble, Div. of Owens-Illinois Inc., Toledo, OH) with polypropylene or Teflon cap liners. If possible, submit bulk or wipe samples in these vials. Tin or other metal cap liners should not be used since a chemical reaction with the sample can occur. Glass scintillation vials and vinylite cap liners may not be appropriate for some liquids (e.g., strong bases). In these cases, use containers appropriate for the substance.

2.2.3. Wipe sampling

---

(Note:

Wipe samples are not an optimum medium for this method - See Section 2.3.3. for further details.)

---

a)	Smear tabs (part no. 225-24, SKC Inc., Eighty Four, PA, or Whatman no. 41 or no. 42 filters, Whatman LabSales Inc., Hillsboro, OR). Filters composed of PVC or MCE (Section 2.2.1.) can also be used to take wipe samples.
b)	Scintillation vials, 20-mL (as described above).

2.3. Sampling Techniques

See Section 4.1., Table 1 for additional sampling information regarding substances having specific dust PELs.

2.3.1. Air sample collection

If sample weights are of interest, desiccate and then weigh any PVC filters before sampling.

---

Due to the nature of substances collected and analyzed using this method, it is recommended that samples taken for compliance purposes are pre- and post-weighed, and an exposure assessment is made based on the sample weight before submission for analysis.

For XRF analyses, MCE filters are preferred over PVC because they are more transparent to X  rays and blank intensities are less significant. However, sample weights are better determined using the PVC filter because moisture retention is minimal. Use PVC membrane filters for gravimetric analyses.

---

1)	Place a cellulose backup pad in a cassette. Place the membrane filter (either MCE or PVC) on top of the backup pad. If large loadings are expected and the membrane has a smooth and a rough side, place the membrane in the cassette with the smooth side against the backup pad and use a three-section cassette to help produce a more adherent deposit. Assemble the cassette.
2)	Attach a Tygon tube between the pump and a flow calibration cassette so that the air will be drawn through the filter membrane. Do not place any tubing in front of the cassette.
3)	Calibrate each sampling pump to within ±5% of the recommended sampling rate with the calibration cassette attached in-line. A cyclone should also be attached during calibration if necessary for quartz or respirable dust sampling (also see Step 9 below).
4)	Attach a prepared cassette to the calibrated sampling pump and place in the employee's breathing zone.
5)	If possible, take a full shift sample at the recommended sampling rate.
6)	Place plastic end caps on each cassette after sampling.
7)	If weights are of interest, remove any PVC filters from the cassettes, dessicate, and then post-weigh. Replace the filters in their cassettes.
8)	Attach an OSHA-21 seal around each air and blank sample in such a way as to secure the end caps of the cassettes.
9)	Submit at least one blank sample with each set of air samples.
10)	Gravimetric analyses in the field should suffice when the mg/m3 respirable dust PEL for a substance is evaluated. Any respirable dust samples suspected of containing quartz should be submitted to the laboratory for quartz analysis. Also, situations may arise where the IH needs further information to characterize a respirable dust exposure. In these cases, respirable dust samples can be submitted for laboratory analysis.

2.3.2. Bulk sample collection

In order of laboratory preference, bulk samples may be one of the following:

a) a high-volume filter sample,
b) a representative settled dust (rafter) sample,
c) a sample of homogeneous dust (or powdered) bulk material in the workplace.

1)	Collect between 10 to 20 mL of dry bulk sample to provide for optimum detection of minor components in bulk samples. Samples of at least 10-mL volume are recommended. This provides sufficient material for other analyses, if necessary. If samples are liquids or very low-density (fluffy) dusts, contact the laboratory. Liquids that evolve corrosive gases or that dissolve support membranes may damage the XRF spectrometer. Some very low density dusts are poorly analyzed.
2)	Transfer the bulk material into a 20-mL scintillation vial, seal with a cap having an inert plastic liner, and wrap with vinyl or electrical tape. Securely wrap an OSHA-21 seal length-wise (top to bottom) around the vial.
3)	The type of bulk sample should be stated on the OSHA 91 and cross-referenced to the appropriate air sample(s).

2.3.3. Wipe sample collection

Wipe samples are not an optimum medium for this method; increased background signal noise results in high detection limits and irreproducible blank corrections. Substances collected on wipes are unevenly distributed. If necessary, qualitative scans of a portion of the wipe sample can be performed.

1)	Wear clean, impervious, disposable gloves when taking each wipe sample.
2)	Moisten the wipe filters with deionized water prior to use.
3)	If possible, wipe a surface area covering 100 cm2.
4)	Fold the wipe sample with the exposed side in.
5)	Transfer the wipe sample into a 20-mL scintillation vial, seal with a cap having an inert plastic liner, and wrap with vinyl or electrical tape. Securely wrap an OSHA-21 seal length-wise (top to bottom) around the vial.

2.4. Sample Shipment

2.4.1. Document the operation and indicate any known or suspected elements and compounds. If possible, indicate whether components that volatilize may be present.

---

Any information regarding suspected sample composition, industrial operation, etc. will aid in obtaining the most accurate analysis. These details can assist the analyst when optimizing the instrument and call attention to potential interferences.

---

2.4.2. Request QUAL-XRF analysis and any appropriate follow-up quantitative analysis.

2.4.3. Ship air and blank samples to the laboratory with appropriate paperwork.

2.4.4. Bulk and wipe samples should be shipped separately from air samples. They should be accompanied by Material Safety Data Sheets (MSDS) if available. Check current shipping restrictions and ship to the laboratory by the appropriate method.

3.1. Safety Precautions

3.1.1. Chemical

Handle reagents and bulk samples carefully. Use protective equipment such as: Gloves, laboratory coats, safety glasses, and an exhaust hood. Use a fit-tested respirator if necessary. Clean up spills immediately.

3.1.2. Radiation

a)	When samples are suspected of containing radio-nuclides, first scan the samples using a radiation survey monitor to determine if additional precautions are necessary.
b)	Follow established laboratory safety guidelines. Modern X-ray fluorescence spectrometers have built-in safety devices and interlocks to prevent X-ray exposure. WARNING: These devices should not be adjusted, removed, or overridden for any reason.
c)	Radiation monitors are worn by X-ray equipment operators. These monitors consist of badges and finger rings which are periodically analyzed to detect exposure to low-level radiation.
d)	There should be a red or yellow warning light which, when lit, indicates the X-ray generator is powered up. The instrument may be checked for radiation leaks using a sensitive radiation survey meter. Radiation leaks, if present, will be most easily detected when the X-ray tube is operated at the highest power design specification.
e)	Periodically have safety mechanisms checked to determine satisfactory operation. A sensitive, fixed-position radiation alarm may be used as an area monitor, but damaging radiation exposures can occur in collimated beams that do not intersect the monitor's probe.
f)	Avoid inserting fingers into the sample compartment. Use forceps to change samples.

3.2. Equipment

3.2.1. X-ray fluorescence spectrometer

The spectrometer should be equipped with appropriate monitors, collimators, and secondary targets. The spectrometer at the OSHA Laboratory included the following:

Lucite monitor
Tantalum collimator
Gadolinium secondary target with gadolinium filter
Silver secondary target with silver filter
Zirconium secondary target with zirconium filter
Germanium secondary target
Titanium secondary target

3.2.2. Sample holders for cups

3.2.3. Sample holders for air filters

3.2.4. Sample cups

3.2.5. Kapton window film, 0.33 mil thick (part no. 3511, SPEX Industries, Edison, NJ)

3.2.6. Mylar window film, 0.25 mil thick (part no. 3517, SPEX Industries)

3.2.7. Mylar window film, 0.14 mil thick Ultra-thin Mylar, (part no. D12-202, Kevex Corporation, San Carlos, CA)

3.2.8. Polypropylene window film, 0.20 mil thick (part no. 3520, SPEX Industries)

3.2.9. Microporous window film, polypropylene (part no. D12-203, Kevex Corporation)

3.2.10. Radiation safety monitor (model Monitor 4, S.E. International Instrumentation Division, Summertown, TN)

3.2.11. Platform balance capable of 0.01 g precision and at least 50 g range

3.2.12. Vacuum desiccator - use for sample preparation (model no. F42020, Bel-Art Products, Pequannock, NJ)

3.2.13. Vacuum pump - use for sample preparation (model no. DD 20, Precision Scientific, Chicago, IL)

3.3. Reagents (use reagent grade or better powders for calibrations).

3.3.1. Boric acid

3.3.2. Graphite

3.3.3. Sodium bicarbonate

3.3.4. Aluminum oxide

3.3.5. Ammonium sulfate

3.3.6. Titanium dioxide

3.3.7. Zinc oxide

3.3.8. Yttrium oxide

3.3.9. Aluminum sheet, 1 mm thick

3.3.10. Copper sheet, 1 mm thick

3.4. Instrument Calibration

This method is optimized for the analysis of powdered bulk samples. Use appropriate materials and manufacturer recommendations when calibrating specific instrumentation and software. For the purposes of this method, calibration Sections 3.4.2. to 3.4.5. should be performed only once for a properly maintained instrument. Examples of the calibrations performed on the equipment described above are given in the Standard Operating Procedure (SOP) (5.6) and in Section 4.4., Table 5a.

3.4.1. Prepare appropriate standard(s) and perform an energy calibration of the EDXRF spectrometer.

3.4.2. Determine the peak-width at half-maximum for calibrating the peak deconvolution (profile fitting) software. (This is typically performed when the instrument is installed and then checked periodically during preventive maintenance.)

3.4.3. If necessary, calibrate the instrument for fundamental parameters-type determinations according to instrument manufacturer instructions.

3.4.4. Calibrate the instrument for light element corrections. For example, the following powder samples might be selected and prepared as bulks in appropriate sample holders:

Graphite
Boric acid
Sodium bicarbonate
Ammonium sulfate
Aluminum oxide

When obtaining scatter data, use an energy scale range appropriate to include the X-ray scatter data.

3.4.5. Run a variety of known powdered materials and perform adjustments as necessary to improve recoveries.

3.5. Sample Preparation

Check the sample documentation for information regarding composition. Knowledge of the composition provides a basis for handling potential interferences and assists in selecting the appropriate computer model to account for any matrix effects.

Perform assembly of sample holders on a clean dust-free surface. Use sample holders appropriate for the instrument. (Note: The instrument mentioned in the method and evaluation had the following sample/detector/target geometry: The analytical surface is horizontal to and above the detector and target. Samples placed "dust side down" are placed with the dust side oriented towards the target and detector.)

3.5.1. Air sample preparation - MCE and PVC filters

1)	Decide how to present the sample for analysis.
	a)	Filters with ADHERENT DUST are non-destructively analyzed DUST-SIDE UP in the sample holder. For enhanced sensitivity of elements lighter than Ti, the filter containing an ADHERENT DUST may be prepared with the dust-side down with an optional 0.2-mil (5.1-µm) polypropylene support film.
	b)	Loose dust on filters can be analyzed dust side up, but only if great care is taken. There is a potential for contaminating the sample chamber.
2)	Assemble the filter holders. The air sample holders used in the evaluation of this method are shown below.

Air sample mount used on Kevex 8000/770

3.5.2. Bulk samples

---

Samples in the liquid state are generally not analyzed. The liquid phase can be evaporated and the non-volatile residue analyzed; however, element loss in volatile compounds may occur. A vacuum is normally applied to the sample during part of the analysis and may cause the loss of volatile components.

---

1)	Film support selection For this method, bulk samples may be analyzed on 0.14-mil (3.6-µ) Mylar film. Other materials are available and can be used if samples are chemically incompatible with Mylar, but light element recoveries and Compton to Rayleigh scatter ratio data will be affected. These materials and compatibilities are more fully described in the SOP (5.6).
2)	The bulk sample holders used during the evaluation of this method are shown below.

Bulk sample mount used on Kevex 8000/700

Sample cup used for powdered bulk samples (Optional Microporous film may be used with an additional retaining ring on top to cover the sample.)/td>

a)	Liquid bulk or small amounts of dry bulk samples A qualitative analysis should only be performed if a sample consists of:         evaporated deposits         small quantities of powder         small solid pieces having a total weight less than about 0.5 g
	An attempt should be made to prepare this type of sample as a thin, even layer on the support film. This reduces sample matrix effects; however, increased detection limits due to decreased sensitivity are noted. When a sample cannot be spread evenly, position the sample at the most sensitive location on the sample holder. This location can be determined by trial and error using copper peak intensities from a small ring of fine copper wire and a sample holder containing a support film. Mark the location of the ring center on the support film with a felt-tipped pen, and reposition the sample on the membrane until a maximum signal is obtained. Use the resulting template to position samples at the most sensitive spot. Samples which do not cover the entire film or which cannot be made homogeneous produce poor estimates of the amount of non-analyzed material present.
	Liquid bulk or small amounts of dry bulk samples are prepared by the following procedure:
	1)	Select a film material chemically compatible with the sample. The films most often used are made of Mylar, Polypropylene, or Kapton. Further information regarding specific incompatibilities is listed in the SOP (5.6) and manufacturer catalogs.
	2)	Assemble the sample holder.
	3)	Position a small volume of the powdered bulk specimen or several drops of liquid sample at the most analytically sensitive location on the film. For liquid samples, place the film holding the liquid sample in a vacuum desiccator with a liquid nitrogen trap to catch vapors. Evaporate the liquid to dryness and then slowly let air into the desiccator so as not to disturb the dried material. Some oxidizing agents or organic substances may attack all three films mentioned above. For this reason, it is important to reduce the time that solvents are in contact with the film; therefore, begin evaporation as soon as possible after spotting the film. Substances such as sulfuric acid and sodium hydroxide become more concentrated and reactive after evaporation. Ammonium carbonate or boric acid can be added to neutralize acids or bases respectively. If not neutralized, a rapid analysis and removal from the sample chamber is desirable.
b)	Large quantities of bulk dust (thick) samples If a sufficient amount (> 0.5 g) of finely powdered dust is available, a semiquantitative analysis can be performed. These bulks are best presented as a thick layer of dust in a sample cup. This greatly improves detection limits and minor component identifications; however, increased matrix effects are also noted. The sample should be homogeneous because the entire contents of the cup are not analyzed.
	1)	Assemble bulk sample cups and place in sample holders. Use 0.14-mil Mylar film unless it is chemically incompatible with the sample. An excellent substitute support medium is 0.20-mil polypropylene film. The 0.20-mil polypropylene has lower levels of trace light elements and is more transparent to X rays from the light elements present, but it has less mechanical strength than 0.14-mil Mylar film and is more likely to rip. For semiquantitative analyses, always use the same film for standards, samples, and blanks.
	2)	If manufacturer software requires sample mass thickness data(mg/cm²), perform the following: Tare the sample cup on a balance capable of 0.01 g precision. Pour some of the powdered bulk into the cup until the depth reaches 1 to 2 cm (approximately 5 mL). Record the weight of the powder. Calculate the sample mass thickness by dividing the sample mass (in mg) by the area (in cm²). To obtain the mass thickness for samples contained in 2.54-cm inside-diameter cups, multiply the mass (in g) by 197.35 mg/(g·cm2). This conversion constant was calculated by: 197.35 mg/g·cm2 = 1000 mg/g 3.1416 × (2.54 cm/2)2 Record the mass thickness for each sample.
	3)	If it is necessary to perform light element analyses on dusty bulks, protect the instrument sample chamber and vacuum pump from dust cloud contamination by either sealing the top of the sample cups with Microporous polypropylene film (using a retaining ring) or by substituting He for the vacuum. Coal dust is a common example of a dust that tends to form a dust cloud when a vacuum is drawn. Check for potential dust cloud generation by first subjecting each sample to a vacuum in the vacuum desiccator.
	4)	For bulk blanks, use an air filter sample holder to analyze the support medium used in the assembly of the sample cup. This is performed in order to avoid detecting scattered and fluoresced radiation from an empty bulk sample cup. (Normally when analyzing bulk material, the sample cup walls are blocked by the sample.)

3.6. Analysis

3.6.1. Analytical conditions

Use X-ray excitation conditions appropriate for the system and software being used. Always use the same analytical and calibration conditions. If X-ray tube currents are modified to optimize detector efficiency, use a monitor sample (such as Lucite) to make corrections for changing sensitivities. Operational parameters used during the evaluation of this method are listed in Section 4.4., Tables 5a-5b. For further instruction regarding analysis, consult the SOP (5.6) or specific instrument manuals.

3.6.2. Desirable analyte sensitivities

See Section 4.2., Table 2 and Section 4.4., Table 5a for examples of integrated peak areas obtained using the instrumentation specified in Section 1.1.4.

3.7. Interferences

3.7.1. Positive interferences (non-analyte signal-augmenting phenomena) include background signals; instrument artifacts from electronics, collimators, target, and filter fluorescence; target and filter Compton and Rayleigh scatter peaks; escape peaks; sum peaks; overlapping sets of M, L, and K spectral lines (MLK peaks) from elements other than those of interest; matrix specific enhancement; and closer sample placement. Many interferences can be resolved through software, by blank subtraction, or by identification of blank contaminants. Sum and escape peaks are further discussed:

a)

Sum peaks occur when more than one photon arrive coincident at the detector. The problem of sum peaks can be reduced by decreasing the X-ray flux so that the count rate achieves "low % dead time." Alternately, some manufacturer software programs can correct for minor sum peaks.

b)

An escape peak is generated by the low-probability quantum excitation of the K-shell electrons in the silicon atoms of the detector producing a small peak at 1.76 thousand electron volts (kV) below a fluorescence line. Fluorescence lines below 1.76 kV are unaffected, whereas those just above 1.76 kV are most strongly affected. This phenomenon is easily modeled, so software can readily correct for it.

Alternative analytical lines are often available to resolve interferences.

3.7.2. Negative interferences (signal-decreasing phenomena) include matrix absorption effects and displacement of the sample away from the secondary target and detector. Matrix absorption effects can be addressed using sample information provided by the IH. Sample displacement errors can be reduced by using care to prepare flat membrane support surfaces.

3.7.3. Peak location in a spectrum is not proof of the identity of an element. Analysis of other peaks for that element and profile fitting (also called deconvolution), if necessary, provide further evidence of identity. Qualitative analysis requires experience and analyst interaction.

3.8. Calculations

The sequence of steps in evaluating the data depends on software requirements. Alternate sequences may be necessary when using different software. The steps below assume certain software features are available to the user. Other software products may be used. Qualitative analysis consists of Sections 3.8.1.-3.8.8. Semiquantitative analysis includes Sections 3.8.1.-3.8.14.

3.8.1. Perform escape peak corrections.

3.8.2. Perform sum peak corrections, if available.

3.8.3. Perform blank corrections for membrane support (or air blank).

3.8.4. Perform automated identification of elements. Note: This is an optional step. Automated identification may suggest possible elements that the analyst may not have considered.

3.8.5. Perform background modeling and subtraction.

3.8.6. Identify the elements and interferences present using the systems graphic terminal and peak markers (which indicate MLK spectral locations). However, neither automated identification nor a trained analyst may be able to identify elements whose major peaks occur as shoulders on the peaks of other elements present in the matrix. When characterizing a sample, also consider the particular elements indicated on the sample documentation. Input the identified elements into the software.

3.8.7. Deconvolute (profile-fit) the identified elements to obtain integrated (area) counts for the analytical peaks.

3.8.8. Check for residual peaks. Uncorrected sum peaks and the peaks of unidentified elements may remain. This is an opportunity to identify elements that are subject to significant interferences, e.g., analyte peaks that occur only as shoulders on the peaks of other elements in a particular matrix. Repeat Sections 3.8.6. and 3.8.7. until all peaks are accounted for.

3.8.9. Determine the Compton to Rayleigh scatter ratio.

3.8.10. Perform the fundamental parameters estimation including the sample mass thickness and Compton to Rayleigh scatter data. [Note: This latter approach is especially useful when analyzing light matrices.]

3.8.11. Repeat 3.8.10. without the Compton to Rayleigh scatter data. [Note: This approach is useful when the sample matrix is unknown.]

3.8.12. Repeat 3.8.11. and force the results to total 100%. This approach is useful when all major elements in the sample have been accounted for.

3.8.13. Include any known (or suspected) chemistry (e.g., whether the sample consists of geological material, oxides, sulfides, alloys, organic, or other light element composition). Also include any known chemical stoichiometry of the analyzed elements to help account for unanalyzed elements such as the light elements Na, O, C, and H. Chemistry information places constraints on how the results are calculated and generally improves the reliability of the semiquantitative estimates. For example, for many mineral dusts, it may be appropriate to represent the analyzed elements as oxide compounds such as Fe₂O₃, TiO₂, SiO₂, CaO (or CaCO₃), and BaO. More specific knowledge about the matrix may be used. For example, if a sample theoretically consists of primarily anhydrous sodium sulfate and sodium chloride, represent the analyzed elements S and Cl as Na₂SO₄ and NaCl to account for the unanalyzed Na and O contents. Repeat Sections 3.8.10. through 3.8.12. to include the chemistry constraints.

3.8.14. The semiquantitative results from the operations above may differ significantly. Analyst experience and matrix information provided about the sample must be used to select the results that represent the most realistic physical and chemical assessment.

3.8.15. Re-analyze at least 10% of the samples submitted for semiquantitative XRF analysis by validated ICP-AES or atomic absorption (AA) methods. These samples can serve the function of quality assurance samples.

3.9. Reporting Results

Results for the following samples are generally reported as qualitative:

Air or wipe filter samples
Liquid bulk samples
Insufficient amount of bulk material (usually <0.5 g)

3.9.1. Qualitative results

Report the elements identified by XRF analysis using element symbols. Rank the element symbols based on atomic number without regard to amounts.

The element symbols may be further qualified as follows:

1)	"+" to indicate detected and confirmed present (e.g., "+ Fe")
2)	"-" to indicate that a requested analyte was specifically looked for, but was not detected (e.g., "- Br")
3)	"?" to indicate that a signal was present indicating that the element may be present, but it could not be confirmed on alternate peaks in this matrix (e.g., "? As" in a matrix containing Pb)

All of the identified elements need not be reported. Unreported elements may include those near the detection limit or those having significant interferences on all major analytical lines.

3.9.2. Semiquantitative results

All semiquantitative results are approximate. It is important to consider the limited accuracy of this method. The method evaluation indicated that errors in quantitation by a factor of 2 are not uncommon. Additional work can be performed to improve analytical results and some suggestions are mentioned in the Appendix.

Semiquantitative results may be reported two different ways:

a)	In cases where samples were analyzed as homogeneous powders of uniform thickness, rank the element symbols (and qualifiers) from highest to lowest estimated concentration. This is the most restrained (or conservative) representation of the semiquantitative information.
b)	Numerical semiquantitative results (with units of "%" or "µ/g") can be added to the list of identified substances in Section 3.9.2.a. Although reported to two  significant figures, these results should be considered as "order of magnitude" estimates.

3.9.3. When routing samples for re-analysis by another method, include a copy of the semiquantitative numerical results. While not as detailed as an MSDS, these results provide useful information to those who must handle the bulk. Results also assist in bulk sample preparation to select both appropriate digestion techniques and aliquot sizes. Also request that the results obtained by the re-analysis be copied and returned to the analyst who performed the XRF analyses. This provides quality assurance information.

4.1. PELs Supported
       Table 1 (Regulated Dusts)
4.2. Estimation of Aerosol Detection Limits
       Experimental design

Table 2a (Aerosol Source Materials)
Table 2b (Estimated Detection Limits)
Table 2c (Estimated Aerosol Detection Limits - Conservative)

       Calculations of aerosol detection limits
       Discussion of aerosol detection limits
4.3. Evaluation - Bulk Sample Determinations
       Experimental design
       Calculations used in software

Table 3 [Pure Substances - (NH₄)₂SO₄ and Al₂O₃]
Table 4a (Homogeneous Light Element Matrices - TEG50-B and TEG50-C)
Table 4b (Heterogeneous Intermediate Matrices - NIST SRMs 635, 636, 637, 1881, and 2704)
Table 4c (Heterogeneous Mixed Matrix Types - V1 through V12)
Table 4d (Potential Worst-Case Bulk Detection Limits)

       Discussion of bulk sample determinations (Figure 1)

Recovery results and outliers

Bulk detection limits
Non-certified trace element composition

4.4. Kevex Operating Conditions Used in Evaluations
       Experimental design

Table 5a (Condition Code Definitions)
Table 5b (Element Ranges for Secondary Targets)

4.5. Conclusions
4.6. Appendix
       Additional recommendations to improve aerosol detection limits
       Additional recommendations to improve semiquantitative estimates




4.1. PELs Supported   (Back to Outline)

Listed below are those compounds that may be characterized using this method; however, when the analysis of a specific compound is requested, an elemental analysis is performed and reported as the compound.

Table 1 Regulated Dusts
Substance	Total	Respirable	Qualitative
characterized	mg/m³	mg/m³	analyte(s)
Group I
Aluminum	15	5		Al
Bismuth telluride, undoped	15	5		Bi, Te
Calcium carbonate	15	5		Ca
Calcium silicate	15	5		Ca, Si
Calcium sulfate	15	5		Ca, S
Gypsum	15	5		Ca, S
Limestone	15	5		Ca
Marble	15	5		Ca
Particulates not otherwise regulated	15	5		-
Perlite	15	5		Si
Plaster of Paris	15	5		Ca, S
Group II
Alpha-alumina	10	5		Al
Ammonium sulfamate	10	5		S
Emery	10	5		Al, Fe
Kaolin	10	5		Al, Si
Portland cement	10	5		Ca, Si
Rouge	10	5		Fe
Silicon	10	5		Si
Silicon carbide	10	5		Si
Group III
Barium sulfate	10	5		Ba, S
Dicyclopentadienyl iron	10	5		Fe
Molybdenum, insoluble	10			Mo
Titanium dioxide	10			Ti
Zinc stearate	10	5		Zn

For all three groups listed, respirable dust samples are normally analyzed gravimetrically in the field. If crystalline silica is suspected, submit respirable samples to the lab for analysis.

Group I:

Sample analysis is based on a gravimetric determination performed in the field for total dust, because these PELs are the same as listed for "Particulates, not otherwise regulated". Additional analysis can be performed if necessary.

Group II:

Contact the laboratory before submitting samples, because methods may not be able to speciate the analyte.

4.2. Estimation of Aerosol Detection Limits (Back to Outline)

Experimental Design (Table 2a)

The detection limits for 21 elements were evaluated using aerosol air samples collected closed-face on tared PVC membranes. Element and reagent selection was based on the following considerations:

a)	Elements found in dusts regulated by OSHA (Table 1) were included in order to provide estimates of detection limits for qualitative confirmations.
b)	Toxic elements which may be found while screening air samples were also included. If detected, samples containing these elements may be routed for appropriate analyses.
c)	Additional elements were selected to span the widest possible analytical range for each of the five secondary targets (Table 5b). In order to obtain estimates of the worst and best detection limits for each secondary target, analyses were performed on the least and most sensitive analytes. The analytical sensitivity for thin films is a smooth function of atomic number. This smooth function makes it possible to interpolate and extrapolate conservative detection limit estimates for elements not included in Table 2b (See Table 2c).
d)	When possible, realistic matrices were included. For example, the National Institute of Standards and Technology (NIST) Portland Cement Standard Reference Material  #635 (SRM-635) was used as the reagent for estimating the detection limits for six elements. Pure TiO2 was included as a check on the detection limit estimate made using the trace Ti contained in the SRM-635 [shown as Ti(TiO2) and Ti(Blue) respectively in Table 2b]. Both detection limit estimates were similar for the two Ti determinations. Also, lead chromate was considered a representative matrix for both Pb and Cr.
e)	Aerosol particles tend to concentrate in the center of air filters when samples are collected using closed-face cassettes.

The estimations of microgram detection limits for closed-face sampling were based on aerosols of reference materials containing one or more analyte elements deposited at approximately 2 L/min onto tared (approximately 12 mg) 37-mm PVC membranes (5-µ pore size) supported by cellulose back-up pads (using 3-piece cassettes). In order for accurate weights to be determined, PVC filters were used instead of MCE. The PVC filters were re-weighed after deposition and the analyte mass was calculated using the known percentage composition of the aerosol. The elements analyzed are listed below in order of increasing atomic number. They are paired with the corresponding source materials.

Table 2a Aerosol Analyte Detection Limit Determinations (Aerosol Source Materials)
Element	Source		Element	Source		Element	Source
Al	AlPO4		Cr	PbCrO4		Ag	Ag
Si	SRM-635		Mn	SRM-635		Cd	Cd
P	AlPO4		Fe	SRM-635		Ce	Ce(OH)4
S	SRM-635		Zn	ZnO		Ho	Ho2O3
K	SRM-635		As	As2O3		W	WO3
Ca	SRM-635		Sr	SrCO3		Hg	HgO
Ti	TiO2, SRM-635		Zr	ZrO2		Pb	PbCrO4

---

Table 2b Aerosol Analyte Detection Limit Determinations (Estimated Detection Limits)
Element	kV Range		Micrograms	Analyte	Blank	Detection	Secondary
	from	to		Counts	Counts	Limit µg	Target
Al Si P S K Ca Ti(TiO2) Ti(Blue) Cr Mn Fe Zn As Sr Zr Ag Cd Ce(La) Ho(La) W (La) Hg(La) Pb(La)	1.330 1.540 1.800 2.100 3.120 3.420 4.280 4.360 5.180 5.740 6.140 8.380 10.360 13.840 15.360 21.680 22.640 4.600 6.440 8.120 9.620 10.160	1.640 1.920 2.250 2.600 3.460 3.890 4.730 4.650 5.650 6.070 6.650 8.880 10.700 14.440 16.120 22.480 23.560 5.050 7.000 8.660 10.320 10.900	194.0 176.6 222.8 58.1 7.7 877.4 140.3 3.9 222.4 1.3 37.5 46.6 6.8 38.6 299.8 36   201   202.6 644.3 508.3 1,041.9 886.0	967 1,070 4,817 3,440 2,066 173,044 5,517 156 14,631 164 7,418 2,184 84 932 9,226 612 2,783 3,768 36,032 6,213 47,456 28,014	1,673 3,999 8,017 115,906 193 248 41 31 69 57 62 25 15 20 20 159 158 41 36 58 38 36	24.62 31.31 12.42 17.25 0.16 0.24 0.52 0.42 0.38 0.18 0.12 0.32 0.94 0.56 0.44 2.22 2.72 10.3 0.32 1.87 0.41 0.57	Ti Ti Ti Ti Ti Ti Ge Ge Ge Ge Ge Zr Zr Ag Ag Gd Gd Ge Ge Zr Zr Zr

Note: Membranes composed of PVC absorb low-energy X rays from the light elements more strongly than high-energy X rays from the heavy elements. For this reason, samples containing the light elements Al, Si, P, S, K, and Ca were analyzed without a support film and with theadherent dust side of the filter sample directed towards the secondary target and detector. Fluorescence from the element chlorine contained in the PVC membrane is largely responsible for the high background in the analytical region used when analyzing elements having a lower atomic number than Cl (Z = 17).

---

Table 2c Conservative Estimated Aerosol Detection Limits (µg)

PERIODIC TABLE

H

He

Li

Be

B

C

N

O

F

Ne

Na

Mg

Al 30

Si 30

P 20

S 20

Cl

Ar

K 2.

Ca 2.

Sc 1.

[Ti] .5

V .5

Cr .4

Mn .2

Fe .1

Co .1

Ni .1

Cu .1

Zn 1.

Ga 1.

[Ge] 1.

As 1.

Se 1.

Br 1.

Kr

Rb 1.

Sr .6

Y .5

[Zr] .4

Nb .4

Mo .4

Tc

Ru 6.

Rh 5.

Pd 4.

[Ag] 3.

Cd 3.

In 3.

Sn 3.

Sb 3.

Te 3.

I 3.

Xe

Cs 3.

Ba 3.

La 3.

Hf 3.

Ta 2.

W 2.

Re 2.

Os 2.

Ir 1.

Pt 1.

Au .8

Hg .6

Tl .6

Pb .6

Bi .5

Po

At

Rn

Fr

Ra

Ac

Between La and Hf:

Ce 1.

Pr 1.

Nd 1.

Pm

Sm .8

Eu .7

[Gd] .6

Tb .5

Dy .4

Ho .3

Er 4.

Tm 4.

Yb 3.

Lu 3.

After Ac:

Th .5

Pa

U .5

Np

Pu

Am

Cm

Bk

Cf

Es

Fm

Md

No

Lw

Microgram detection limits for elements in aerosols collected on PVC are shown above. The detection limits are listed below the symbol for each element that can be analyzed by this method. Results from Table 2b were used to make conservative estimates for the 21 elements evaluated (shown as bolded symbols). Detection limits for the remaining elements that can be analyzed were next obtained by interpolation and conservative extrapolation. All limits shown are estimates. The noble gases, elements lighter than Al, and chlorine cannot be analyzed on PVC membranes. (Chlorine and chlorine compounds can be analyzed on MCE membranes.) Note: This method is not appropriate for the radioactive elements Tc, Po-Ac, Pa, and Np-Lw.
The secondary target elements used in this method are enclosed in [ ].

Calculation of aerosol detection limits (Table 2b)

Detection limit calculations were performed as indicated in Section 1.3.1. of the method. [Note: Although widely used as an estimate of the qualitative detection limit, this theoretical approach assumes a model that does not consider effects from interferences. Also, special care was used when performing appropriate blank subtraction, background modeling, and profile fitting in order to isolate the light element fluorescence peaks.]

Discussion of aerosol detection limit results (Tables 2b-2c)

The analytical detection limits in Tables 2b-2c above were determined using K analytical peaks, except as noted. Analyte counts shown in Table 2b are rounded to the nearest whole count. With the exception of the four lightest elements, the detection limits for most of the elements are very low. Compared to loadings needed to qualitatively analyze heavy elements on PVC membranes, relatively large loadings are necessary for light elements. Because MCE membranes are more transparent to X rays than PVC membranes, lower sample loadings can be used and better detection limits for light elements are achieved.

Additional recommendations for improving aerosol detection limits can be found in the Appendix.

4.3. Evaluation - Bulk Sample Determinations   (Back to Outline)

Experimental design (Table 3 and Tables 4a-4d)

Recoveries for 37 elements in powdered heterogeneous and homogeneous bulk samples were evaluated in order to model typical samples that are sent to the laboratory. The following elements were incorporated in the study (listed in order of increasing atomic number):

Mg, Al, Si, P, S, K, Ca, Ti, V, Cr, Mn, Fe, Co, Ni, Cu, Zn, Ga, As, Se, Br, Rb, Sr, Zr, Mo, Ag, Cd, In, Sb, Sn, Te, Ba, La, W, Hg, Tl, Pb, and Bi

The accuracy of this method is particularly sensitive to sample matrix effects, because standard matrices are not matched to sample matrices. For that reason, a wide variety of matrix types were used in the evaluation study. Homogeneous samples (Tables 3 and 4a) are useful in evaluating optimum conditions for analyses.

Heterogeneous samples (Tables 4b-4c) are useful in evaluating the effect of errors associated with packing and particle-size effects. They also have the additional error associated with obtaining representative samples of mixtures of solids. The evaluation samples consisted of seven known reference materials (Tables 4a-4b) and 12 evaluation bulk samples (Table 4c) prepared in a blind test of the method.

a)	The results in Table 4a are for an organic (gelatin) matrix containing trace elements in two standard reference materials (TEG50-B and TEG50-C from Kodak Industries, Rochester, NY). These were light matrix materials accompanied by certificates of analysis.
b)	The results in Table 4b are for standard reference materials (SRMs) from NIST. These mineral samples were accompanied by certificates of analysis and represented intermediate weight element matrices.
c)	The results in Table 4c are for unknowns that were prepared in a manner to provide stable, challenging, and realistic samples of uniform composition. These mixtures were prepared by an independent chemist who ground and mixed the chemically compatible reagents. The majority of analytes were oxides. They included light, intermediate, and heavy matrices.

The major component of each of the evaluation bulk samples in Table 4c was a matrix consisting of one or more of the following:

boric acid (representing a light element matrix)
starch (representing a light element matrix)
zinc oxide (representing a heavy element matrix)
ferric oxide (representing a heavy element matrix)
silicon dioxide (Celite, representing an intermediate-weight element matrix comparable to river sediment and Portland cement).

Except for the ferric oxide, all the matrices were white; this reduced the analyst's ability to immediately assess the major components of each bulk. As the data began to accumulate, the analyst judged that the matrices could be arranged in groups of three. The analyst's observations during the blind experiments were:

a)	Three samples (V4 through V6 listed below) tended to clump and gave strong signals for Zn.
b)	Three samples (V7 through V9) gave a strong signal for Si. The matrix identity of V1 through V3 and V10 through V12 could not be assessed from observations made by the analyst.

The identities of the matrices were revealed after the results of the analyses were reported:

Samples		Matrix		Type
V1   V2   V3   V4   V5   V6   V7   V8   V9   V10 V11 V12		Boric acid Zinc oxide Silicon dioxide Corn Starch		light element heavy element intermediate light element

Prior to the analyses the analyst knew that oxides of the elements were the major materials used for the components. This information provided chemistry information during data workup. The analyst prepared an additional sample consisting of powdered aluminum oxide to check analytical sensitivity. Aluminum was the lightest element attempted in the analyses of samples V1 through V12.

Results were determined using three different software routines that streamline the following calculations:

Calculations used in software

The three approaches described in Sections 3.8.10.-12. of the method were used to obtain quantitative estimates of the composition of bulks presented in Tables 3-4c. Three in-house custom procedures (QUANT - Section 3.8.10., NORMQUANT - Section 3.8.11, and MARSQUANT - Section 3.8.12.) were used to implement the three approaches and obtain estimates of sample composition. These procedures allow the option of including chemistry information (e.g., reporting as oxides if appropriate). Details of these routines are described below:

a)	A custom procedure (results indicated by "QUANT" in Tables 3-4c) which calculated estimates only on detected elements. This procedure calls the proprietary Kevex fundamental parameters function QUANT/EXACT/FILM which takes into account the analytical data and the sample mass thickness. It performs an estimate of the composition of the sample in terms of analyzed elements (including any chemistry).
b)	A custom procedure (results indicated by "NORMQUANT" in Tables  3-4c) calls the proprietary Kevex function QUANT/EXACT/FILM/NORM which takes the result above and proportions the results so that the composition sums to 100%.
c)	A custom procedure (results indicated by "MARSQUANT" in Tables  3-4c) calls the proprietary Kevex software function QUANT/EXACT/FILM/MARS. Portions of the routine are iterative. It uses Compton and Rayleigh scatter data and MARS (described below) calibration data to correct for the presence of unanalyzed light elements. Warning messages are displayed when the scatter data are outside the calibration range or when the process does not converge (This occurs when the process fails to estimate a reasonable light element composition for the sample due to matrix effects).

The MARS function accessed through the procedure "MARSQUANT" is a proprietary Kevex software function that is similar to the previously available Kevex CEMAS function. Portions of the routine are iterative. It appears to operate in the following sequence:

1)	The function QUANT/EXACT/FILM is called as described above producing an initial estimate of the sample composition in terms of analyzed elements (including optional chemistry).
2)	The mean atomic number of analyzed elements (including optional chemistry, e.g. oxygen content in oxides) is next determined.
3)	Using the calibration information and the Compton and Rayleigh scatter information, an estimate is made of the mean atomic number of all elements (analyzed and unanalyzed) in the sample.
4)	The results from 2) and 3) above are used to estimate the mean atomic number of unanalyzed light elements (MZu).
5)	Two light elements (E1 and E2) that bracket the mean atomic number of unanalyzed light elements are selected. The elements E1 and E2 need not be present in the actual sample; they are representative light elements used in computations only.
6)	The corresponding atomic weights of these representative light elements, E1 and E2, are used to give a representative total weight fraction for the unanalyzed elements.
7)	The remainder of the weight fraction is attributed to the analyzed fraction.
8)	The analytical results of analyzed elements (including optional chemistry) from operation 1) are then scaled to equal the sum of the analyzed fraction obtained from operation 7).

The overall composition includes the light elements that could be present in the sample. The analytical task was to determine the amount of each analyzed constituent relative to the overall composition of the sample. Test materials were analyzed using the three software routines listed above. For example, a test material consisting of a single analyzable constituent (e.g., Fe as Fe₂O₃) in a light element matrix might give disparate results consisting of:

100% by QUANT       100% by NORMQUANT       3.1% by MARSQUANT

For a single analyzable constituent, both QUANT and NORMQUANT always normalize to 100%; therefore, neither would be selected. If the MARS scatter data was within the calibration range, and MARSQUANT was able to converge, then the 3.1% result would be selected. If not, the analyst should consider reporting only qualitative results.

Results from only one of the three routines was selected for each test material based on the criteria indicated below each of the following tables of results. The reported results from that routine were compared to the theoretical values for the test material. The recovery for each analyzed element in each test material was calculated. Statistics were evaluated for the recoveries for each test material (where appropriate) and for all test materials. The recovery data did not follow a normal distribution. A log-normal distribution better described the observed distribution of recoveries. For a log-normal distribution the measure of scatter equivalent to SD is a factor (SD_ƒ). Log-normal statistics are often useful when a wide range of results is encountered. The overall SD_ƒ was found to be 2. Listed below are the results for two pure samples (Table 3), the results for a variety of bulk sample mixture analyses (Tables 4a-4c), and the summary of bulk detection limits (Table 4d).

---

The following characters, symbols, or nomenclature (in bold-type for illustration) are used in Tables 3-4c:

RECOVERY = ratio of FOUND/THEORETICAL amounts

P       = results in parts per million (µg/g)

1%     = 10,000 µg/g

ND     = None Detected

SD_ƒ represents the factor used to determine the log-normal recovery range equivalent to 1 standard deviation in the recovery. As an example where SD_ƒ = 1.493 and the mean recovery = 0.956:

The low end of the recovery range for this analysis is obtained from:

Mean recovery X SD_ƒ^-1 = 0.956 X 1/1.493 = 0.640

The high end of the recovery range is obtained from:

Mean recovery × SD_ƒ¹ = 0.956 × 1.493 = 1.427

Note: 2SD_ƒ = (SD_ƒ)²       3SD_ƒ = (SD_ƒ)³

Detected elements in the tables with recoveries in error by more than a factor of 4 are flagged with the symbol "".

---

Table 3
SAMPLE (NH4)2SO4:
ELEMENT		MARSQUANT% (REPORTED)		QUANT%		NORMQUANT%		THEORETICAL%		RECOVERY
S		34.49		(100)		(100)		24.27		1.421
Total		34.49						24.27

QUANT and NORMQUANT both normalize to 100% when presented with result files having only one analyzed component. MARSQUANT operated without issuing error warnings and these results were selected. The compound stoichiometry was not given to the software.

---

SAMPLE Al2O3:
ELEMENT		MARSQUANT%		QUANT%		NORMQUANT% (REPORTED)		THEORETICAL%		RECOVERY
0 Al Fe Zn Ga Zr		26.77   30.08 197 P   24 P  124 P    50 P		15.88   17.84 224 P   27 P  143 P   58 P		47.04   52.83 665 P   81 P  424 P  173 P		47.09 52.91		0.998 0.998 - - - -
Total		56.89		33.77		100.00		100.00

The MARS scatter corrections for light elements gave a mean atomic number (for all elements in sample) less than 0.5 Z above the highest MARS calibration standard (an arbitrary cut off at 11.15). However, no residual light elements were found by the MARS program. The results from either the QUANT or the NORMQUANT approaches better approximated this sample's composition; the sample was also known to be composed mainly of Al₂O₃. The NORMQUANT approach appeared most suitable in providing estimates of all constituents in the sample. This is representative of the utility of the method in estimating trace element composition when the major constituent is known and can be analyzed. This approach is used on some field samples, but it is not a strong test of the system.

Table 4b Evaluation Bulk Sample Mixture Determinations Heterogeneous Intermediate Element (Mineral) Matrices
SAMPLE SRM-635 (NIST Portland Cement "Blue"):
ELEMENT		NORMQUANT% (REPORTED)	THEORETICAL%		RECOVERY
	Volatiles		3.24		ND
	B		<0.01		-
	F		0.04		ND
	Na as Na2O		0.07		ND
	Mg as MgO	0.77	1.23		0.626
	Al as Al2O3	0.72	6.29		0.114
	Si as SiO2	7.28	18.4		0.396
	P as P2O5		0.17		ND
	S as SO3	8.15	7.07		1.153
	Cl		<0.01		-
	K as K2O	1.17	0.45		2.600
	Ca as CaO	80.08	59.83		1.338
	Ti as TiO2	0.17	0.32		0.531
	V	19 P	<0.01		-
	Cr as Cr2O3	0.01	0.01		1.000
	Mn as MnA2O3	0.05	0.09		0.556
	Fe as Fe2O3	1.41	2.61		0.540
	Ni	31 P	<0.01		-
	Cu	12 P	<0.01		-
	Zn as ZnO		0.01		ND