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Age Of Rock Calculator

Radiometric Dating Equation:

\[ Age = \frac{1}{\lambda} \ln\left(1 + \frac{^{238}U}{^{206}Pb}\right) \]

1/year
unitless

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1. What is Radiometric Dating?

Radiometric dating is a technique used to date materials such as rocks or carbon, based on the known decay rate of radioactive isotopes. The uranium-lead dating method is one of the oldest and most refined radiometric dating techniques.

2. How Does the Calculator Work?

The calculator uses the radiometric dating equation:

\[ Age = \frac{1}{\lambda} \ln\left(1 + \frac{^{238}U}{^{206}Pb}\right) \]

Where:

Explanation: The equation calculates the time elapsed since the rock formed based on the accumulation of daughter isotopes from radioactive decay.

3. Importance of Radiometric Dating

Details: Radiometric dating is crucial for determining the absolute ages of rocks and geological events, providing the foundation for the geologic time scale and our understanding of Earth's history.

4. Using the Calculator

Tips: Enter the decay constant in 1/year and the isotope ratio as a unitless value. Both values must be positive numbers for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is the typical decay constant for uranium-238?
A: The decay constant for uranium-238 is approximately 1.55125 × 10⁻¹⁰ per year.

Q2: How accurate is radiometric dating?
A: When properly applied, radiometric dating can provide ages with uncertainties of less than 1% for rocks billions of years old.

Q3: What are the limitations of this method?
A: The method assumes the system has remained closed (no loss or gain of parent or daughter isotopes) since formation.

Q4: Can this method date all types of rocks?
A: Uranium-lead dating works best with zircon crystals in igneous and metamorphic rocks, but may not be suitable for all rock types.

Q5: What is the half-life of uranium-238?
A: The half-life of uranium-238 is approximately 4.468 billion years.

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