Praktické

Kalkulačka radioaktivního rozpadu

Radioactive Decay Calculator

Initial N₀

Half-Life (t½)

Elapsed Time

What is Radioactive Decay Calculator?

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Radioaktivní rozpad je spontánní přeměna nestabilních atomových jader v průběhu času. Poločas rozpadu je doba, za kterou se polovina atomů rozpadne; po n poločasech zbývá N₀/2ⁿ atomů.

Calkulon makes complex calculations simple — built for students and everyday problem-solvers.

Vzorec

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f(x)N(t) = N₀ × e^(−λt) | t½ = ln(2)/λ | N(t) = N₀ × (½)^(t/t½)

Variable Legend

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Symbol	Jméno	Jednotka	Popis
N(t)	Remaining nuclei at time t	—	—
N₀	Initial number of nuclei	—	—
λ	Decay constant	s⁻¹	—
t	Time elapsed	s	—
t½	Half-life	s or years	—

How to Radioactive Decay Calculator

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1N(t) = N₀ × (½)^(t/t½)
2Decay constant λ = ln(2)/t½
3After 1 half-life: 50% remains; 2: 25%; 3: 12.5%
4Used in carbon dating, nuclear medicine, and waste management

Worked Examples

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Example 1

Given:Carbon-14, t½=5,730yr, elapsed 11,460yr (2 half-lives)

Výsledek:N = N₀ × 0.25 = 25% of original carbon-14 remains

Real-World Applications

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Calculating deadlines and project timelines

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Determining exact ages for legal or medical purposes

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Planning events and scheduling across time zones

Isotope Half-Lives

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Isotope	Half-life	Application
Carbon-14	5,730 years	Radiocarbon dating
Uranium-238	4.5 billion years	Geological dating
Iodine-131	8 days	Thyroid cancer therapy
Technetium-99m	6 hours	Medical imaging

Frequently Asked Questions

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What is Radioactive Decay?

Radioactive decay is the spontaneous transformation of unstable atomic nuclei over time. The half-life is the time for half the atoms to decay; after n half-lives, N₀/2ⁿ atoms remain

How accurate is the Radioactive Decay calculator?

The calculator uses the standard published formula for radioactive decay. Results are accurate to the precision of the inputs you provide. For financial, medical, or legal decisions, always verify with a qualified professional.

What units does the Radioactive Decay calculator use?

This calculator works with inches, percentages. You can enter values in the units shown — the calculator handles all conversions internally.

What formula does the Radioactive Decay calculator use?

The core formula is: N(t) = N₀ × (½)^(t/t½). Each step in the calculation is shown so you can verify the result manually.

References

›Radioactive decay — Khan Academy

Formula-verified for precision

Reviewed October 2026

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