Absolute dating and geologic time

Radiometric dating uses predictable changes in atoms. It works only when the sample, isotope system, and history are appropriate for the question.

Lesson 3 of 33 parts Practice Flashcards
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Radioactive decay and Half-life

Objective: Explain radioactive decay and half-life, distinguish their meanings, and apply them to a described case.

Radioactive decay: Unstable isotopes transform at statistically predictable rates into other nuclei. Half-life: A half-life is the time required for half of a large population of parent atoms to decay. Radioactive decay is predictable for large populations of atoms, not as a schedule for one atom. After each half-life, half of the remaining parent population persists. Dating requires a suitable isotope system and interpretation of initial conditions and later changes. Numerical ages can constrain a sequence of events, but the dated event must be identified. Sedimentary deposition is not automatically dated by the crystallization age of an included mineral grain. Application: A parent isotope decreases as daughter products accumulate. This most directly illustrates radioactive decay. A closed sample retains one quarter after two half-lives. This most directly illustrates half-life.

Formulas

  • Remaining parent fraction after n half-lives = (1/2)^n

Worked examples

Try itOriginal teaching scenario: A parent isotope decreases as daughter products accumulate. Which idea from this section does it most directly illustrate?Show answer

Step 1 — Read the observation: A parent isotope decreases as daughter products accumulate. Step 2 — Recall the relevant idea: Unstable isotopes transform at statistically predictable rates into other nuclei. Step 3 — Connect the observation to the idea: The scenario is an illustration of radioactive decay. Step 4 — Check the limit: This short scenario illustrates the concept; it does not establish every detail or exclude every other influence in a real situation.

Try itOriginal teaching scenario: A closed sample retains one quarter after two half-lives. Which idea from this section does it most directly illustrate?Show answer

Step 1 — Read the observation: A closed sample retains one quarter after two half-lives. Step 2 — Recall the relevant idea: A half-life is the time required for half of a large population of parent atoms to decay. Step 3 — Connect the observation to the idea: The scenario is an illustration of half-life. Step 4 — Check the limit: This short scenario illustrates the concept; it does not establish every detail or exclude every other influence in a real situation.

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