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Each mineral has different ratios between parent and daughter concentrations. For each mineral, the ratios are related by the following equation:.
The proof of 1 amounts to simple algebraic manipulation. It is useful in this form because it exhibits the relationship between quantities that actually exist at present.
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Ratios are used instead of absolute concentrations because mass spectrometers usually measure the former rather than the latter. See particularly the section on isotope ratio mass spectrometry. If all data points lie on a straight line, this line is called an isochron.
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The better the fit of the data points to a line, the more reliable the resulting age estimate. Since the ratio of the daughter and non-radiogenic isotopes is proportional to the ratio of the parent and non-radiogenic isotopes, the slope of the isochron gets steeper with time. The change in slope from initial conditions—assuming an initial isochron slope of zero a horizontal isochron at the point of intersection intercept of the isochron with the y-axis—to the current computed slope gives the age of the rock.
Whole rock isochron dating uses the same ideas but instead of different minerals obtained from one rock uses different types of rocks that are derived from a common reservoir; e. It is possible to date the differentiation of the precursor melt which then cooled and crystallized into the different types of rocks.
One of the best known isotopic systems for isochron dating is the rubidium—strontium system. Other systems that are used for isochron dating include samarium—neodymium , and uranium—lead. Some isotopic systems based on short-living extinct radionuclides such as 53 Mn , 26 Al , I , 60 Fe and others are used for isochron dating of events in the early history of the Solar System.
However, methods using extinct radionuclides give only relative ages and have to be calibrated with radiometric dating techniques based on long-living radionuclides like Pb-Pb-dating to give absolute ages. Isochron dating is useful in the determination of the age of igneous rocks , which have their initial origin in the cooling of liquid magma.
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It is also useful to determine the time of metamorphism, shock events such as the consequence of an asteroid impact and other events depending of the behaviour of the particular isotopic systems under such events. From Wikipedia, the free encyclopedia. This article needs additional citations for verification.