may of itself dislodge material in the system, thus
adding to the background. As a precaution, an ultra-
pure silicon standard may be analysed to quantify this
effect.
The National Institute of Standards and Techno-
logy (US Department of Commerce) prepares and
issues a range of glass standards that contain 61
elements at trace concentration, at approximately
50 and 500 ppm. These standards are commonly
used in LA-ICP-MS and are measured repeatedly
throughout an analytical session, perhaps once to
every 10 or 20 sample measurements. Corrections
for drift in the performance of the equipment with
each sample analysis are applied linearly between
standard measurements.
Quantification of the isotope counts requires
knowledge of the concentration of at least one elem-
ent, used as an internal standard; concentrations of
other elements may be determined from the ratios of
isotopes to that of the internal standard. A convenient
element to use is calcium, which is present as a major
element in most silicates and has five stable isotopes
of widely ranging abundance. It is usually possible to
select a calcium isotope giving a signal similar to that
of the trace elements. Other elements can be used for
example, nickel in olivine, vanadium in oxides, and
titanium in micas. With effort, the EMPA laboratory
can provide such internal standard concentrations to
10 ppm at the 1000 ppm level, but isotopes of major
elements such as Si and Mg can give good results. In
sulphides, the sulphur concentration is usually known
and, being an electronegative element, the cation
signal is weak enough to be comparable with those
of the trace elements. During ablation, much material
condenses in and around the ablation pit, and the
more refractory an element, the less likely it will be
carried away by the gas. Thus fractionation processes
occur even when the laser couples well with the min-
eral, and there is always a crater rim to the ablation
pit (e.g., Figure 6A). In general the worse the coupling
(Figure 6D), the greater the fractionation.
The first stage in quantification is to obtain isotope
ratios corrected for background and fractionation.
The background signal obtained with the laser off is
averaged to give intensity values per slice, and these
are subtracted (together with the values from the
‘null’ pure silicon standard if any) from the isotope
signals measured with the laser on. Then ratios are
calculated for each slice. These ratios, if plotted
against slice number, will have a positive slope if
the unknown undergoes less fractionation than the
internal standard does; if not, then the slope will
be negative. Either way, the plots are regressed to
the point at which the laser is switched on and the
value there is adopted for further calculation. Linear
regression is often adequate; some operators prefer a
polynomial. Anomalous slices, such as those contain-
ing inclusions in the mineral, may be excluded from
the regression. Editing the data is facilitated by a good
graphics computer program, but operations with a
simple spreadsheet are adequate.
Quantification of the isotope ratios is continued by
adjusting them with reference to the changes in ratios
in the glass standard taken before and after the sam-
ple. Finally, the concentration of element x in the
sample, C
x,samp
, is given by the following equation:
C
x;samp
¼ C
int;samp
ðI
x;samp
=I
int;samp
ÞðI
int;std
=I
x;std
Þ
ðC
x;std
=C
int;std
Þ
where ‘std’ denotes the glass standard and ‘int’ is the
internal element.
Differences in the coupling of the laser and hence
the process of ablation between the glass standard
and the sample are responsible for the major source
of error in LA-ICP-MS. Another error is in the failure
to predict overlaps on the analysed isotope. Overlap
of isotopes of different elements and equal mass is
either avoidable or readily quantified, but overlap
from argon-sample dimers and from doubly charged
ions may not be so obvious.
The Ion Microprobe
In secondary ion mass spectrometry (SIMS) and in
sensitive high-resolution ion microprobe (SHRIMP)
analysis (the ‘big brother’ of SIMS), beams of O
,
O
þ
,O
2
,orCs
þ
at 10–20 keV sputter the surface
of the sample, yielding a mixture of ions, molecules,
and plasma. Three types of mass spectrometers are
used: magnetic sector, quadrupole, and time-of-flight.
Although few useful ions are produced, unlike the
LA-ICP-MS, nearly all the ions can be analysed
by the mass spectrometer, and SIMS is a more sen-
sitive technique. Erosion of the sample is usually
1–10 nm s
1
, which is much slower than laser abla-
tion and much less sample is required. In Figure 6, the
volume of material excavated in the SIMS pit is 0.3%
that of the laser pits. SIMS is primarily an isotope
ratio technique, but quantitative elemental analysis at
very low levels is possible.
In contrast to EMPA, a general theory for matrix
corrections in SIMS may never eventuate. Several
specialized methods have been applied; for example,
in the infinite velocity method, emission velocities,
calculated from experimentally measured energy dis-
tributions, are extrapolated to infinite velocity, where
there are no matrix effects. This approach works well
ANALYTICAL METHODS/Mineral Analysis 115