The formula to calculate the Absolute Age (t) is:
\[ t = \frac{T_{1/2} \cdot \log(1 + \frac{D}{P})}{\log(2)} \]
Where:
Absolute age is a measure of the actual age of a geological or archaeological sample in years. Unlike relative age, which only determines the order of events, absolute age provides a quantifiable age. This is typically determined through radiometric dating methods, which measure the decay of radioactive isotopes within the sample. By knowing the half-life of the parent isotope and the ratio of parent to daughter isotopes, scientists can calculate the time that has elapsed since the sample formed.
Let's say the half-life (T1/2) is 5730 years, the amount of daughter isotope (D) is 75, and the amount of parent isotope (P) is 25. Using the formula:
\[ t = \frac{5730 \cdot \log(1 + \frac{75}{25})}{\log(2)} \approx 11460 \text{ years} \]
So, the Absolute Age (t) is approximately 11460 years.
Definition: Absolute age in geology refers to the exact age of a rock or fossil, often determined through radiometric dating.
Formula: \( \text{Age} = \frac{\ln(\frac{N_f}{N_0})}{-k} \)
Example: \( \text{Age} = \frac{\ln(\frac{10}{100})}{-0.0001} \)
Definition: An absolute age dating calculator helps determine the exact age of a geological sample using radiometric dating techniques.
Formula: \( \text{Age} = \frac{1}{\lambda} \ln(1 + \frac{D}{P}) \)
Example: \( \text{Age} = \frac{1}{0.0001} \ln(1 + \frac{90}{10}) \)
