What is radioactive decay?
Radioactive decay is the process by which an unstable atomic nucleus loses energy by radiation. During this process, the nucleus transforms into a more stable configuration, emitting particles or electromagnetic radiation. See also our Empirical Formula Calculator.
What is half-life and how is it measured?
Half-life is the time required for exactly half of a radioactive substance to decay. It's a constant characteristic of each radioactive isotope and can range from fractions of a second to billions of years.
How do you calculate the decay constant from half-life?
The decay constant (λ) is calculated using the formula λ = ln(2) / t₁/₂, where ln(2) ≈ 0.693 and t₁/₂ is the half-life. The decay constant represents the probability of decay per unit time.
What is the relationship between half-life and mean lifetime?
Mean lifetime (τ) is the average time a nucleus will exist before decaying. It's related to half-life by τ = t₁/₂ / ln(2) ≈ 1.44 × t₁/₂. Mean lifetime is always longer than half-life.
How is carbon-14 dating related to half-life calculations?
Carbon-14 dating uses the known half-life of carbon-14 (5,730 years) to determine the age of organic materials. By measuring the remaining C-14 in a sample and applying decay formulas, scientists can calculate when the organism died.
What factors affect the accuracy of half-life calculations?
Accuracy depends on precise measurements of initial and remaining quantities, accurate knowledge of the half-life constant, and ensuring no external contamination. Environmental factors generally don't affect nuclear decay rates.