Accuracy - A measure of how close the analytical value provided by the
equipment (wether percent concentration or some other value) is to the
true value. This is usually expressed as the error which is the amount
of difference between the number by instrument and the true value, and
may be presented ein either of two forms: The
absolute error
is difference bwtween true and instrument (or calculated) values,
- for instance, if the true concentration is 20.4% and the calculated
value is 21.7%, the absolute error is +1.3% (concentration), the
relative erroris the same difference between the two values
expressed as a fraction or percentage of the true value. In the example
above, this would be (21.7-20.4)/20.4=+6.37 (relative). In both cases,
the + indicates the error is positive - the calculated value is geater
than the true value.
Bremstrahlung - As desribed above, this is the flux
of X-rays at all energies produced by the decleration of electrons in
the sample. For microprobe, SEM and TEM analysis, this is the background
in the spectrum above which rise the characteristic peaks from the
elements present.
Concentration - The fraction of the element in the
sample, usually by weight. In many cases, this is expressed as percent (%)
or parts per million (10 000 ppm=1.0%). For some types of samples other
units are appropriate; for instance, concentration of elements on filter
paper may be given as micrograms per square centimeter. Concentration
may be expressed either as elemnetal (e.g. 13.1% Al) or as compund (e.g.
24.8% Al2O3). In the later case, the X-rays from one element (Al) are
mesured and the conversion from elemental concentration to comound
concentration is simply based on the atomic weights and assumed composition
of the compund.
Dead Time - The portion of the total analyzing time
that is actually spent processing (mesuring) X-rays because during the
time that each X-ray pulse is being measured, the system cannot mesure
another X-ray that may enter the detector and is, therefore, said to be
"dead". In an actual analysis, the total analyzing time is extended by
the equipment so that the analyzing time (e.g. 100 seconds) set on the
controls is the live time - the time spent waiting for the x-ray
photons.
Detector Efficiency - The relative faction of the
X-rays that leave the sample that are subsequently measured and counted.
This includes the solid angle of X-rays from the sample that reach the
detector as well as any losses (e.g. due to absorption in the window in
front of the detector) that take place.
Escape Peaks - In Si(Li) detectors ecape peaks occurring 1.74 keV below each 'true' peak. Escape peaks are small (up to 1% of parent peak height) and its desirable that they should be removed from the spectrum for quantitative analysis.
Intensity - The number photons counted either for a
specific element or the total number of photons of all energies being
processed by the detector (total count rate). In some cases, (particulary
with electron beam excitation as in the electron microprobe) the instensity
is adjusted (normalized) for variations in the instrument by experssing it
as counts per unit of beam current (e.g. counts per nanoampere). The
intensity may be expressed either as the total number of counts during the
analysis or as the number of counts per second.
Matrix - The total composition of the sample, expecially
with regard to its effect on the measured intensity for a given element
due to the primary absorption, secondary absorption and possibly
secondary fluorescence, effects from the other elements in the sample.
Minimum Detectable Limit - The lowest concentration
of the element in the sample that can be definitely be identified in as
given analyzing time. Since this requires the peak to rise above
background by a statistically significant amount, it is customary to
speak of detection at the 95% confidence limit if the peak rises above
the background by two standard deviation, or 99% for three "sigma". etc.
The minimum detectable limit in a given matrix is proportional to
(B/P)^(1/2) where B is background intensity an P is net peak intensity;
it can be lowered (improved) by increasing total count rate, by reducing
background relative to peak height, or bt extending the total counting
time.
Overvoltage Ratio - The ratio of the incident electron
voltage to the energy required to excite the atom of interest (its
absorption edge energy). Generally, the higher this ratio the geater the
excitation efficiency for the element - that is more X-rays per incdent
electron that are produced.
Qualitative Analysis - Determination of which elements
are present in the sample with little or no regard to the exact amouny of
each.
Peak Separability - The ability of the system to
separate peaks from different elements that lie close together in the
spectrum or to separate an elemental peak from the background. This is
dependant on many system parameters including detector resolution at
various energies, amplifier parameters, and often computational
capability to identify and strip peaks.
Precision - A measure of how reproducible the
measurement is. This can be either the raw intensity data or final
calculated value. In either case, is is normally expressed as percentage
- for example, the mean intensity value is 51417 and, on repetitive runs,
the variation is from 51720 to 51114. This variation is 51417 +/- 313 or
313/51417=0.61%. The statistical precision is the amount of variation
that is expected simply from the probabilities inherent in counting
random events such as X-ray photons and is simply Sigma=(N)^1/2. In the
example above, the variation expected in 68% of the measurement would be
51417+/-227. In 95% of the measurement, the maxiumum variation expected
would be two Sigma or 51417+/-454, in 99% of the measurements, the
maximum variation expected would be three Sigma or 51417+/-680. Whether
given for the counts or the final calculated value (e.g.concentration)
the precision describes only the consistency of the data and not its
accuracy.
Resolution - The "sharpness" of a single isolated
peak in the spectrum, usually expressed as the "full width at half
maximum" (FWHM) or, in other words, the width of the peak (in energy)
at half its maximum height. Resolution varies with energy of the
X-rays. Also, resolution is a measure of the performance of the
detector, but does not adeqately define the total system ability to
separate peaks from different elements.
Reproducibility - The ability of the instrument to
repetedly give the same conditions and measurements. Normally, this is
separated from the statistical contribution to precision which would be
the only variation in mesurements if reproducibility were perfect. The
reproducibility is also given as a percentage variation - for example,
0.1% reproducibility would mean that a mean intensity of 50 000 counts
could vary by +/-50 counts.
Standards - Samples containing known concentration of
various elements, preferable in somewhat similar proportions as the unknown
specimen that are to be analyzed. Standards may be obtained by using actual
samples that have been independently analyzed by another method, such as wet
chemistry or they may be "made up" by mixing together accurately weighed
pure chemicals. A combination of these techniques is to start with a few
standards and mix them in various proportions to produce other standards.
Another method is to "spike" a standard sample with known amounts of one
or more pure compunds. In all cases involving mixing, it is of paramount
importance to assure uniform mixing on as fine scale as possible. For
electron excitation, it is usually not possible to obtain complex standards
that are uniform on a sub-micron scale and, therefore, it is customary to
use pure elements as standards.
Sum Peaks - Pulse pile-up causes 'sum peaks' to appear at energies corresponding to be sum of the energies of major peaks.
Semi-Quantitative Analysis - Determination of the
approximate concentration of the elements in the sample, often as ratios
to each other rather than directly as percent.
Absorption Coefficient - A parameter describing the
distance of penetration of X-rays of a particular energy in a given
material. The most common form, properly called the mass absorption
coefficient, is "mi" in the absorption equation. Tables of values "mi" for
X-rays of different energies, in specimens of different elements, cas be
used to determine the "mi" value for any radiation in any matrix.
Stray Peaks - Spectrum contain small peaks which orginate from regions of the specimen other then analysed points, from the specimen holder, or from parts of the instruments. These are excited mainly by stray electrons (for example, those backscattered from the sample) and are more likely to be seen by EDS detector than by EDS detector. They can be minimized by good colllimation, but are difficult to eliminate completely.
Spectrum - A plot of X-ray intensity as a function of
X-ray energy that shows peaks at energies corresponding to the
characteristic shell binding energies of the elements in the sample,
rising above a background composed primarily of scattered X-rays or
Bremstrahlung.
Simultaneity - The ability to measure and store
spectrum X-rays of different energies from the different elements all
during the same analyzing time.
Sensitivity - A much abused word that has, at various
times, been used to describe minimum detectable limit, detection
efficiency, intensity for a given element, and other diverse and often
undefined propertis of the analytical method, instrumnent or sample. The
most often common use is to describe the intensity per unit concentration,
ie. CPS/%.
ZAF Correction Method - Conversion the X-ray
intensities to concentration based on measurement of the pure element
intensities and compostion of corrected factors for the "atomic number
effect" (which describes the depth of electron penetration and fraction
of electrons that backscatter from the sample), the "absorption correction"
(which describe the absorption of X-rays in the matrix - a function of
composition and depth of electron penetration) and the "fluorescence
correction" (which describe the secondary fluorescence of one element by
the others present).