Rubidium–strontium dating

The rubidium-strontium dating method is a radiometric dating technique used by scientists to determine the age of rocks and minerals from the quantities they contain of specific isotopes of rubidium (⁸⁷Rb) and strontium (⁸⁷Sr, ⁸⁶Sr).

Development of this process was aided by German chemists Otto Hahn and Fritz Strassmann, who later went on to discover nuclear fission in December 1938.

The utility of the rubidium–strontium isotope system results from the fact that ⁸⁷Rb (one of two naturally occurring isotopes of rubidium) decays to ⁸⁷Sr with a half-life of 49.23 billion years. In addition, Rb is a highly incompatible element that, during partial melting of the mantle, prefers to join the magmatic melt rather than remain in mantle minerals. As a result, Rb is enriched in crustal rocks. The radiogenic daughter, ⁸⁷Sr, is produced in this decay process and was produced in rounds of stellar nucleosynthesis predating the formation of the Solar System.

Different minerals in a given geologic setting can acquire distinctly different ratios of radiogenic strontium-87 to naturally occurring strontium-86 (⁸⁷Sr/⁸⁶Sr) through time; and their age can be calculated by measuring the ⁸⁷Sr/⁸⁶Sr in a mass spectrometer, knowing the amount of ⁸⁷Sr present when the rock or mineral formed, and calculating the amount of ⁸⁷Rb from a measurement of the Rb present and knowledge of the ⁸⁵Rb/⁸⁷Rb weight ratio.

If these minerals crystallized from the same silicic melt, each mineral had the same initial ⁸⁷Sr/⁸⁶Sr as the parent melt. However, because Rb substitutes for K in minerals and these minerals have different K/Ca ratios, the minerals will have had different Rb/Sr ratios.

During fractional crystallization, Sr tends to become concentrated in plagioclase, leaving Rb in the liquid phase. Hence, the Rb/Sr ratio in residual magma may increase over time, resulting in rocks with increasing Rb/Sr ratios with increasing differentiation. Highest ratios (10 or higher) occur in pegmatites.

Typically, Rb/Sr increases in the order plagioclase, hornblende, K-feldspar, biotite, muscovite. Therefore, given sufficient time for significant production (ingrowth) of radiogenic ⁸⁷Sr, measured ⁸⁷Sr/⁸⁶Sr values will be different in the minerals, increasing in the same order.

Example

For example, consider the case of an igneous rock such as a granite that contains several major Sr-bearing minerals including plagioclase feldspar, K-feldspar, hornblende, biotite, and muscovite. Each of these minerals has a different initial rubidium/strontium ratio dependent on their potassium content, the concentration of Rb and K in the melt and the temperature at which the minerals formed. Rubidium substitutes for potassium within the lattice of minerals at a rate proportional to its concentration within the melt.

The ideal scenario according to Bowen's reaction series would see a granite melt begin crystallizing a cumulate assemblage of plagioclase and hornblende (i.e.; tonalite or diorite), which is low in K (and hence Rb) but high in Sr (as this substitutes for Ca), which proportionally enriches the melt in K and Rb. This then causes orthoclase and biotite, both K rich minerals into which Rb can substitute, to precipitate. The resulting Rb-Sr ratios and Rb and Sr abundances of both the whole rocks and their component minerals will be markedly different. This, thus, allows a different rate of radiogenic Sr to evolve in the separate rocks and their component minerals as time progresses.

Calculating the age

The age of a sample is determined by analysing several minerals within multiple subsamples from different parts of the original sample. The ⁸⁷Sr/⁸⁶Sr ratio for each subsample is plotted against its ⁸⁷Rb/⁸⁶Sr ratio on a graph called an isochron. If these form a straight line then the subsamples are consistent, and the age probably reliable. The slope of the line dictates the age of the sample.

Indeed, given the universal law of radioactive decay and the following rubidium beta decay : ${\ce {^{87}_{37}Rb->[{\beta -}][{}]~_{38}^{87}Sr~+e^{-}~+~{\bar {\nu _{e}}}}}$ we obtain the expression whom describes the growth of Strontium 87 in the rubidium mineral : ${\ce {^{87}_{38}Sr(t)~=_{38}^{87}Sr(0)~+~_{37}^{87}Rb(e^{\lambda t}-1)}}$ , ${\ce {\lambda}}$ being the decay constant of rubidium. Furthermore, we could consider the number of ${\ce {^{86}_{38}Sr}}$ as a constant, for two reasons; firstly this isotope is stable, and secondly the half-time for ${\ce {^{86}_{37}Rb}}$ (whom produced the ${\ce {^{86}_{38}Sr}}$ radiogenic nucleide) is negligible compared to ${\ce {^{87}_{37}Rb}}$ half-time.

Hence, ${\ce {{\frac {^{87}Sr}{^{86}Sr}}=({\frac {^{87}Sr}{^{86}Sr}})_{0}~+{\frac {^{87}Rb}{^{86}Sr}}(e^{\lambda t}-1)}}$ the isochron equation. After measurements of Rubidum and Strontium concentration in the mineral we can easily determine the age, the t value, of the sample.[1]

Sources of error

Rb-Sr dating relies on correctly measuring the Rb-Sr ratio of a mineral or whole rock sample, plus deriving an accurate ⁸⁷Sr/⁸⁶Sr ratio for the mineral or whole rock sample.

Several preconditions must be satisfied before a Rb-Sr date can be considered as representing the time of emplacement or formation of a rock.

The system must have remained closed to Rb and Sr diffusion from the time at which the rock formed or fell below the closure temperature (generally considered to be 650 °C);
The minerals which are taken from a rock to construct an isochron must have formed in chemical equilibrium with one another or in the case of sediments, be deposited at the same time;
The rock must not have undergone any metasomatism which could have disturbed the Rb-Sr system either thermally or chemically

One of the major drawbacks (and, conversely, the most important use) of utilizing Rb and Sr to derive a radiometric date is their relative mobility, especially in hydrothermal fluids. Rb and Sr are relatively mobile alkaline elements and as such are relatively easily moved around by the hot, often carbonated hydrothermal fluids present during metamorphism or magmatism.

Conversely, these fluids may metasomatically alter a rock, introducing new Rb and Sr into the rock (generally during potassic alteration or calcic (albitisation) alteration. Rb-Sr can then be used on the altered mineralogy to date the time of this alteration, but not the date at which the rock formed.

Thus, assigning age significance to a result requires studying the metasomatic and thermal history of the rock, any metamorphic events, and any evidence of fluid movement. A Rb-Sr date which is at variance with other geochronometers may not be useless, it may be providing data on an event which is not representing the age of formation of the rock.

Uses

Geochronology

The Rb-Sr dating method has been used extensively in dating terrestrial and lunar rocks, and meteorites. If the initial amount of Sr is known or can be extrapolated, the age can be determined by measurement of the Rb and Sr concentrations and the ⁸⁷Sr/⁸⁶Sr ratio. The dates indicate the true age of the minerals only if the rocks have not been subsequently altered.

The important concept in isotopic tracing is that Sr derived from any mineral through weathering reactions will have the same ⁸⁷Sr/⁸⁶Sr as the mineral. Although this is a potential source of error for terrestrial rocks, it is irrelevant for lunar rocks and meteorites, as there are no chemical weathering reactions in those environments.

Isotope geochemistry

Initial ⁸⁷Sr/⁸⁶Sr ratios are a useful tool in archaeology, forensics and paleontology because the ⁸⁷Sr/⁸⁶Sr of a skeleton, sea shell or indeed a clay artefact is directly comparable to the source rocks upon which it was formed or upon which the organism lived. Thus, by measuring the current-day ⁸⁷Sr/⁸⁶Sr ratio (and often the ¹⁴³Nd-¹⁴⁴Nd ratios as well) the geological fingerprint of an object or skeleton can be measured, allowing migration patterns to be determined.

Strontium isotope stratigraphy

Strontium isotope stratigraphy relies on recognised variations in the ⁸⁷Sr/⁸⁶Sr ratio of seawater over time. The application of Sr isotope stratigraphy is generally limited to carbonate samples for which the Sr seawater curve is well defined. This is well known for the Cenozoic time-scale but, due to poorer preservation of carbonate sequences in the Mesozoic and earlier, it is not completely understood for older sequences.

In older sequences diagenetic alteration combined with greater uncertainties in estimating absolute ages due to lack of overlap between other geochronometers (for example U–Th) leads to greater uncertainties in the exact shape of the Sr isotope seawater curve.

References

Bowen, Robert (1994), Bowen, Robert (ed.), "Rubidium-Strontium Dating", Isotopes in the Earth Sciences, Springer Netherlands, pp. 162–200, doi:10.1007/978-94-009-2611-0_4, ISBN 978-94-009-2611-0

Jacobsen, S.B.; Wills, J.; Yin, Q. (1997). Seawater isotope records, crustal evolution, tectonics and atmospheric evolution (PDF). Seventh Annual V.M. Goldschmidt Conference. Tucson, AZ. pp. 103–104.
"Periodic table – strontium". Resources on Isotopes. USGS. January 2004. Retrieved 10 November 2016.
Attendorn, H. -G.; Bowen, Robert (1988). "Rubidium–Strontium Dating". Isotopes in the Earth Sciences. Springer. pp. 162–165. ISBN 978-0-412-53710-3.
Walther, John Victor (2009). "Rubidium–Strontium Systematics". Essentials of geochemistry. Jones & Bartlett Learning. pp. 383–385. ISBN 978-0-7637-5922-3.

External links

CSIRO Petroleum - Global Sr Seawater Isotope Evolution

This article is issued from Wikipedia. The text is licensed under Creative Commons - Attribution - Sharealike. Additional terms may apply for the media files.

[1] Bowen, Robert (1994), Bowen, Robert (ed.), "Rubidium-Strontium Dating", Isotopes in the Earth Sciences, Springer Netherlands, pp. 162–200, doi:10.1007/978-94-009-2611-0_4, ISBN 978-94-009-2611-0