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Equation 10 · Radioactive Clocks: How Nuclear Physics Gave Evolution Its Time

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N235N_{235}

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the surviving parent uranium atoms. Read the equation part by part below; each part has a contextual explanation and a link to its mathematical background.

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N235N_{235}

Symbol N_235

the surviving parent uranium atoms.

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subscript

subscript

The lower label selects a particular version, component, or indexed member of the quantity. For example, x₀ and xₜ can be values at different positions.

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where N206N_{206} and N207N_{207} are the radiogenic lead atoms accumulated from each chain and N238N_{238} , N235N_{235} are the surviving parent uranium atoms. Plotting these two ratios against each other traces a curve, the concordia, on which a grain that has behaved as a closed system since crystallization must fall; a grain that has lost lead at some later date instead falls off the curve along a discordia line whose two intersections with concordia record both the original crystallization age and the age of the later disturbance [ 17 ] . This is the internal cross-check the directive of this article’s research promised: no external assumption is needed to catch a disturbed grain, because the two…
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where N206N_{206} and N207N_{207} are the radiogenic lead atoms accumulated from each chain and N238N_{238} , N235N_{235} are the surviving parent uranium atoms. Plotting these two ratios against each other traces a curve, the concordia, on which a grain that has behaved as a closed system since crystallization must fall; a grain that has lost lead at some later date instead falls off the curve along a discordia line whose two intersections with concordia record both the original crystallization age and the age of the later disturbance [ 17 ] . This is the internal cross-check the directive of this article’s research promised: no external assumption is needed to catch a disturbed grain, because the two chains inside it disagree with each other the moment something has gone wrong, and the amount and direction of the disagreement diagnose what happened rather than merely flagging that something did.

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