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Published equation contexts

Rt=R0+N87N86(eλt−1)R_t = R_0 + \frac{N_{87}}{N_{86}}\left(e^{\lambda t} - 1\right)

Why this formula appears here

The uranium-lead and argon-argon methods both need to know, or be able to ignore, how much daughter isotope was already present when the mineral formed. The isochron method, used most often with the rubidium-strontium and samarium-neodymium systems, solves this by measuring several minerals from the same rock, each of which crystallized from the same well-mixed magma at the same time and so began with the same strontium or neodymium isotopic composition, but which incorporated different amounts of the radioactive parent isotope depending on their individual chemistry. Plotting each mineral’s present-day ratio of radiogenic daughter to stable reference isotope against its ratio of parent to…

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N87N_{87}

Symbol N_87

N8N_87 occurs above the fraction bar. The numerator is divided by the entire denominator below it.

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How to interpret it

With a fixed numerator, increasing a nonzero denominator reduces the fraction. Read it with the definitions, units, and assumptions supplied by the article.

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Published contexts (1)

A symbol can carry a different meaning in another article. Each occurrence keeps its own guide and term definitions.

Rt=R0+N87N86(eλt−1),R_t = R_0 + \frac{N_{87}}{N_{86}}\left(e^{\lambda t} - 1\right),

Equation 11 · Evolutionary Nuclear Physics

Radioactive Clocks: How Nuclear Physics Gave Evolution Its Time

This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.

The uranium-lead and argon-argon methods both need to know, or be able to ignore, how much daughter isotope was already present when the mineral formed. The isochron method, used most often with the rubidium-strontium and samarium-neodymium systems, solves this by measuring several minerals from the same rock, each of which crystallized from the same well-mixed magma at the same time and so began with the same strontium or neodymium isotopic composition, but which incorporated different amounts of the radioactive parent isotope depending on their individual chemistry. Plotting each mineral’s present-day ratio of radiogenic daughter to stable reference isotope against its ratio of parent to…

Meanings in this article

  • RtR_t: each mineral’s measured present-day strontium-87 to strontium-86 ratio.
  • R0R_0: the shared initial ratio recovered as the line’s intercept.
  • N86N_{86}: each mineral’s measured rubidium-87 to strontium-86 ratio [ 18 ].
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