Half- Life Calculator
Radioactive decay: tsvaga huwandu hwasara, nguva yapfuura kana hafu-hupenyu, neiyo decay curve.
Zvinyorwa zvinogadziridzwa paunenge uchinyora.
Nezve iyi kalkulator
The half-life is the time it takes for half of a radioactive sample to decay, and it sets the pace of the whole process through N = N₀ × (½)^(t / t½), where N₀ is the starting amount, t is the elapsed time and t½ is the half-life. After one half-life half the material remains, after two a quarter, after three an eighth, and so on — the amount never quite reaches zero but halves with every t½ that passes. Choose what to solve for: the amount left after a given time, the time needed to fall to a given amount, or the half-life itself inferred from a measured decay.
As a worked example, carbon-14 has a half-life of 5,730 years, so a sample that starts with 100 units of C-14 falls to 100 × (½)^(2000 / 5730) ≈ 78.5 units after 2,000 years. The calculator also reports the decay constant λ = ln2 / t½ ≈ 0.693 / t½ (the probability a given atom decays per unit time) and the mean lifetime τ = 1 / λ = t½ / ln2, which is about 1.44 half-lives — the average time an individual atom survives — and plots the decay curve.
Because the maths is scale-free, the time and the half-life only need to share the same unit — years, days, seconds or hours — and the initial and remaining amounts can be in grams, atom counts, becquerels or any consistent measure. This makes the tool equally at home with radiocarbon and radiometric dating, medical isotope dosing, nuclear-waste decay planning and any first-order exponential decay, including some drug-elimination and discharge problems that follow the same half-life mathematics.
Zvimwe zvinobvunzwa zvakanyanya
Chii chinonzi half-life decay formula?
Mutengo wakawandisa wakawanikwa mushure menguva t ndewe N = N₀ × (½)^(t/t½).Mukati menguva imwe chete, zvikamu zviviri zvakasara, mushure menguva mbiri, chikamu chechitatu, mushure menguva mbiri, chikamu chegumi, uye zvichienda mberi.
Chii chinonzi decay constant uye mean lifetime?
The decay constant is λ = ln2 / t½ ≈ 0.693 / t½, the probability of decay per unit time. The mean lifetime τ = 1 / λ = t½ / ln2 is the average time an atom survives — about 1.44 half-lives.
Ndinogona here kuwana nguva yekuti chigadzirwa chiite zvikamu zviviri?
Yeah. Set "solve for" to half-life and enter the initial and remaining amounts plus the elapsed time; the tool solves t½ = t × ln2 / ln(N₀/N).
Sei carbon-14 dating inobatana nehalf-life?
Carbon-14 inoparadzwa nenguva yekuti iite 5,730 years, saka kuongorora kuti C-14 iri kupi kunotibatsira kuziva nguva. Kubva pa100 units, 78.5 units dzinoramba dzichishanda mushure me2,000 years, uye 5,730 units dzinoramba dzichishanda mushure me5,730 years.
Ndezvipi zvikwata zvinoshandiswa nenguva nehalf-life?
Any unit, as long as the elapsed time and the half- life share it. Enter both in years, or both in seconds; the ratio t / t½ is all that matters, and the results come back in that same unit.
Ndezvipi zvinobva zvadzokera mushure menguva yakati wandei?
Multiply nehafu yese yehalf-life: 50% mushure meimwe, 25% mushure mezviuru, 12.5% mushure memakumi matatu, 6.25% mushure memakumi mapfumbamwe. mushure memakumi mapfumbamwe half-lifes pasi 0.1% ichiri, iyo ndiyo nei "about ten half-lives" ichiri mutemo wakajairika kuti zvakaomarara.
Iine half-life kuenderana nehuwandu hwezvigadzirwa zvandatanga ne?
Hapana. Icho chimiro chakavimbika cheisotopi, chisina kuenderana nemhando yechigadzirwa, tembiricha kana kuti chemichi. Kana ukatanga negramu kana kuti netoni, zvikamu makumi maviri nezviviri zvinoparadzwa munguva pfupi chete — izvo zvinoita kuti zvive nenguva pfupi.
API — kushandisa iyi kalkulator kubva code
Nhare iyi calculator semahara JSON endpoint - hapana chikuru zvinodiwa. Kutumira nzvimbo mavara pasi separameter query kana JSON. Chii zvachose chaunoisa kunze chinoshandisa default iyo peji iri rakasviba nayo; parameter isiri yechokwadi inonzi 400, uye haisi zero. Tora yakazara API docs →
Endpoint
GET https://calculator.free/api/v1/half-life/curl
curl "https://calculator.free/api/v1/half-life/?solve=remaining&initial=100&half_life=5730&time=2000"JavaScript fetch()
const r = await fetch(
"https://calculator.free/api/v1/half-life/?" + new URLSearchParams({
"solve": "remaining",
"initial": "100",
"half_life": "5730",
"time": "2000"
}));
const data = await r.json();
console.log(data.results);Zviratidzo zvemubvunzo ndezvekufungidzira kwechinangwa chekudzidzisa chete, kwete zvemari, zvehutano kana zvemari.