Radiometric dating lets paleontologists place fossils and rock layers on an absolute time scale instead of only saying which layer is older or younger. It works because some radioactive isotopes decay into stable daughter products at a predictable rate. Dinosaur bones themselves are usually not dated directly because they are fossils made of replaced minerals.
Instead, scientists date volcanic ash or igneous rock layers above and below the fossil-bearing sediment.
Key Facts
- Radioactive decay follows N = N0(1/2)^(t/T1/2), where T1/2 is the half-life.
- Half-life is the time required for half of the original parent isotope atoms to decay.
- The age can be found with t = T1/2 log2(N0/N) when the original parent amount is known or inferred.
- A parent isotope decays into a daughter isotope, such as 40K to 40Ar or 238U to 206Pb.
- Dinosaur fossils are often bracketed by dating volcanic layers above and below the fossil layer.
- Radiometric dating gives numerical ages, while relative dating orders layers from older to younger.
Vocabulary
- Radiometric dating
- Radiometric dating is a method for finding the age of rocks or minerals by measuring radioactive isotopes and their decay products.
- Half-life
- Half-life is the fixed time it takes for half of a radioactive parent isotope in a sample to decay.
- Parent isotope
- A parent isotope is the unstable radioactive isotope that decays over time.
- Daughter isotope
- A daughter isotope is the product formed when a radioactive parent isotope decays.
- Stratigraphy
- Stratigraphy is the study of rock layers and their order, position, and relationships through time.
Common Mistakes to Avoid
- Dating the dinosaur bone directly, which is usually wrong because fossil bone has been chemically altered and may not preserve the original radioactive clock. Scientists usually date nearby volcanic minerals instead.
- Assuming half-life means the isotope completely disappears after one half-life, which is wrong because only half of the parent atoms decay in each half-life. After two half-lives, one quarter remains, not zero.
- Ignoring contamination, which is wrong because added or lost parent or daughter isotopes can shift the measured age. Careful sample selection and mineral analysis are needed.
- Confusing relative age with numerical age, which is wrong because layer order only tells what came before or after. Radiometric dating is needed to estimate an age in years.
Practice Questions
- 1 A volcanic ash layer contains a radioactive isotope with a half-life of 100 million years. If 25 percent of the original parent isotope remains, how old is the ash layer?
- 2 A mineral sample originally had 80 units of parent isotope and now has 10 units left. If the half-life is 50 million years, what is the age of the sample?
- 3 A dinosaur fossil is found in sedimentary rock between a lower volcanic ash layer dated to 154 million years old and an upper volcanic ash layer dated to 150 million years old. Explain what age range can be assigned to the fossil and why the fossil itself may not be directly dated.