Kostenloser Half-Life Rechner
Berechnen Sie half-life aus decay measurements. Kostenloser half-life determination Rechner.
Halbwertszeit
5,730.00 years
Half-Life vs Time Elapsed
Formel
## Half-Life Determination The half-life can be computed from measured decay data. ### Formula **t_half = -t * ln(2) / ln(N/N_0)** The decay constant is **lambda = ln(2) / t_half**. This connects the exponential decay rate to the half-life.
Lösungsbeispiel
A sample starts at 100 units and has 25 remaining after 11,460 years.
- 01t_half = -t * ln(2) / ln(N/N0)
- 02t_half = -11460 * 0.6931 / ln(25/100)
- 03t_half = -11460 * 0.6931 / (-1.3863)
- 04t_half = 7940 / 1.3863
- 05t_half = 5730 years (Carbon-14)
Häufig Gestellte Fragen
What are some common half-lives?
Uranium-238: 4.5 billion years. Carbon-14: 5,730 years. Iodine-131: 8 days. Radon-222: 3.8 days. Polonium-214: 164 microseconds.
What is the decay constant?
The probability of a single atom decaying per unit time: lambda = ln(2)/t_half. Higher lambda means faster decay.
Does every atom decay at the half-life?
No. Decay is probabilistic. Each atom has a constant probability of decaying per unit time. The half-life is a statistical measure for large populations.
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