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Samarium–neodymium dating

Samarium–neodymium dating is a science topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Samarium–neodymium dating rather than just read about it. In short: Samarium–neodymium dating is a radiometric dating method useful for determining the ages of rocks and meteorites, based on the alpha decay of the long-lived samarium isotope (147Sm) to the stable radiogenic neodymium isotope (143Nd). Neodymium isotope ratios together with samarium–neodymium ratios are used to provide information on the age and source of igneous melts.

Samarium–neodymium dating — main illustration
Samarium–neodymium dating — illustration

Key takeaways

  • Samarium–neodymium dating belongs to science; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Samarium–neodymium dating to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Samarium–neodymium dating from memory before moving on to harder problems.

Reference excerpt

Samarium–neodymium dating is a radiometric dating method useful for determining the ages of rocks and meteorites, based on the alpha decay of the long-lived samarium isotope (147Sm) to the stable radiogenic neodymium isotope (143Nd). Neodymium isotope ratios together with samarium–neodymium ratios are used to provide information on the age and source of igneous melts. It is sometimes assumed that at the moment when crustal material is formed from the mantle the neodymium isotope ratio depends only on the time when this event occurred, but thereafter it evolves in a way that depends on the new ratio of samarium to neodymium in the crustal material, which will be different from the ratio in the mantle material. Samarium–neodymium dating allows the determination of when the crustal material was formed. The usefulness of Sm–Nd dating stems from the fact that these two elements are rare earth elements and are thus, theoretically, not particularly susceptible to partitioning during sedimentation and diagenesis. Fractional crystallisation of felsic minerals changes the Sm/Nd ratio of the resultant materials. This, in turn, influences the rate at which the 143Nd/144Nd ratio increases due to production of radiogenic 143Nd. In many cases, Sm–Nd and Rb–Sr isotope data are used together.

Sm–Nd radiometric dating Samarium has seven naturally occurring isotopes, and neodymium has seven. The two elements are joined in a parent–daughter relationship by the alpha decay of parent 147Sm to radiogenic daughter 143Nd with a half-life of 1.066(5)×1011 years and by the alpha decay of 146Sm (an almost-extinct radionuclide with a half-life of 9.20(26)×107 years) to produce 142Nd. To find the date at which a rock (or group of rocks) formed one can use the method of isochron dating. The Sm–Nd isochron plots the ratio of radiogenic 143Nd to non-radiogenic 144Nd against the ratio of the parent isotope 147Sm to the non-radiogenic isotope 144Nd. 144Nd is used to normalize the radiogenic isotope in the isochron because it is a quasi-stable (with a half-life of 2.29(16)×1015 years) and relatively abundant neodymium isotope. The Sm–Nd isochron is defined by the following equation:

(

143 N d

144 N d ) p r e s e n t = (

143 N d

144 N d ) i n i t i a l + (

147 S m

144 N d ) ⋅ ( e λ t − 1 ) , {\displaystyle \left({\frac {{}^{143}\mathrm {Nd} }{{}^{144}\mathrm {Nd} }}\right)_{\mathrm {present} }=\left({\frac {{}^{143}\mathrm {Nd} }{{}^{144}\mathrm {Nd} }}\right)_{\mathrm {initial} }+\left({\frac {{}^{147}\mathrm {Sm} }{{}^{144}\mathrm {Nd} }}\right)\cdot (e^{\lambda t}-1),}

where:

t is the age of the sample, λ is the decay constant of 147Sm, (eλt−1) is the slope of the isochron which defines the age of the system. Alternatively, one can assume that the material formed from mantle material which was following the same path of evolution of these ratios as chondrites, and then again the time of formation can be calculated (see #The CHUR model).

Sm and Nd geochemistry The concentration of Sm and Nd in silicate minerals increase with the order in which they crystallise from a magma according to Bowen's reaction series. Samarium is accommodated more easily into mafic minerals, so a mafic rock which crystallises mafic minerals will concentrate neodymium in the melt phase relative to samarium. Thus, as a melt undergoes fractional crystallization from a mafic to a more felsic composition, the abundance of Sm and Nd changes, as does the ratio between Sm and Nd. Thus, ultramafic rocks have high Sm and low Nd and therefore high Sm/Nd ratios. Felsic rocks have low concentrations of Sm and high Nd and therefore low Sm/Nd ratios (for example komatiite has 1.14 parts per million (ppm) Nd and 3.59 ppm Sm versus 4.65 ppm Nd and 21.6 ppm Sm in rhyolite). The importance of this process is apparent in modeling the age of continental crust formation.

… excerpt ends here. Continue reading the full article.

Worked examples

Example 1 — a first encounter with Samarium–neodymium dating

Start with the simplest possible case. Write down what Samarium–neodymium dating claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In science, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Samarium–neodymium dating before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Samarium–neodymium dating ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Samarium–neodymium dating

In research
Samarium–neodymium dating appears in science research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Samarium–neodymium dating in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Samarium–neodymium dating is common in secondary-school and first-year university syllabi. It links to neighbouring topics Neodymium, Radiometric dating, Samarium, so understanding it makes those chapters shorter.
In everyday life
Look for Samarium–neodymium dating outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.
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How to study Samarium–neodymium dating in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Samarium–neodymium dating means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Samarium–neodymium dating out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Samarium–neodymium dating in simple terms?

Samarium–neodymium dating is a radiometric dating method useful for determining the ages of rocks and meteorites, based on the alpha decay of the long-lived samarium isotope (147Sm) to the stable radiogenic neodymium isotope (143Nd). Neodymium isotope ratios together with samarium–neodymium ratios…

Why does Samarium–neodymium dating matter?

Because it connects several science ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Samarium–neodymium dating?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Samarium–neodymium dating.

Tags

  • Neodymium
  • Radiometric dating
  • Samarium

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