mass spectrometer by driving the gas out of the
minerals. K–Ar dating has therefore been widely
used in dating rocks but there is a significant problem
with the method, which is that the daughter isotope
can escape from the rock by diffusion because it is a
gas. The amount of argon measured is therefore com-
monly less than the total amount produced by the
radioactive decay of potassium. This results in an
underestimate of the age of the rock.
The problems of argon loss can be overcome by
using the argon–argon method. The first step in this
technique is the irradiation of the sample by neutron
bombardment to form
39
Ar from
39
K occurring in the
rock. The ratio of
39
Kto
40
K is a known constant so if
the amount of
39
Ar produced from
39
K can be mea-
sured, this provides an indirect method of calculating
the
40
K present in the rock. Measurement of the
39
Ar
produced by bombardment is made by mass spectro-
meter at the same time as measuring the amount of
40
Ar present. Before an age can be calculated from the
proportions of
39
Ar and
40
Ar present it is necessary to
find out the proportion of
39
K that has been converted
to
39
Ar by the neutron bombardment. This can be
achieved by bombarding a sample of known age (a
‘standard’) along with the samples to be measured
and comparing the results of the isotope analysis.
The principle of the Ar–Ar method is therefore the
use of
39
Ar as a proxy for
40
K.
Although a more difficult and expensive method,
Ar–Ar is now preferred to K–Ar. The effects of altera-
tion can be eliminated by step-heating the sample
during determination of the amounts of
39
Ar and
40
Ar present by mass spectrometer. Alteration (and
hence
40
Ar loss) occurs at lower temperatures than
the original crystallisation so the isotope ratios mea-
sured at different temperatures will be different. The
sample is heated until there is no change in ratio with
increase in temperature (a ‘plateau’ is reached): this
ratio is then used to calculate the age. If no ‘plateau’ is
achieved and the ratio changes with each tempera-
ture step the sample is known to be too altered to
provide a reliable date.
21.2.3 Other radiometric dating systems
Rubidium–strontium dating
This is a widely used method for dating igneous rocks
because the parent element, rubidium, is common as
a trace element in many silicate minerals. The isotope
87
Rb decays by shedding an electron (beta decay)to
87
Sr with a half-life of 48 billion years (Fig. 21.2). The
proportions of two of the isotopes of strontium,
86
Sr
and
87
Sr, are measured and the ratio of
86
Sr to
87
Sr
will depend on two factors. First, this ratio will depend
on the proportions in the original magma: this will be
constant for a particular magma body but will vary
between different bodies. Second, the amount of
87
Sr
present will vary according to the amount produced
by the decay of
87
Rb: this depends on the amount of
rubidium present in the rock and the age. The rubi-
dium and strontium concentrations in the rock can be
measured by geochemical analytical techniques such
as XRF (X-ray fluorescence). Two unknowns remain:
the original
86
Sr/
87
Sr ratio and the
87
Sr formed by
decay of
87
Rb (which provides the information needed
to determine the age). The principle of solving simul-
taneous equations can be used to resolve these two
unknowns. If the determination of the ratios of
86
Sr/
87
Sr and Rb/Sr is carried out for two different
minerals (e.g. orthoclase and muscovite), each will
start with different proportions of strontium and rubi-
dium because they are chemically different. An alter-
native method is whole-rock dating, in which
samples from different parts of an igneous body are
taken, which, if they have crystallised at different
times, will contain different amounts of rubidium
and strontium present. This is more straightforward
than dating individual minerals as it does not require
the separation of these minerals.
Uranium–lead dating
Isotopes of uranium are all unstable and decay to
daughter elements that include thorium, radon and
lead. Two decays are important in radiometric dating:
238
Uto
206
Pb with a half-life of 4.47 billion years and
235
Uto
207
Pb with a half-life of 704 million years
(Fig. 21.2). The naturally occurring proportions of
238
U and
235
U are constant, with the former the
most abundant at 99% and the latter 0.7%. By mea-
suring the proportions of the parent and daughter
isotopes in the two decay series it is possible to deter-
mine the amount of lead in a mineral produced by
radioactive decay and hence calculate the age of the
mineral. Trace amounts of uranium are to be found in
minerals such as zircon, monazite, sphene and apa-
tite: these occur as accessory minerals in igneous
rocks and as heavy minerals in sediments. Dating of
Radiometric Dating 327