I-Calculator ye-Half-Life
Ukuqhekeka kwe-radioactive: thola inani elisele, isikhathi esidlule noma isikhathi esingu-half-life, nge-decay curve.
Iziphetho zivuselelwa uma ubhala.
Malunga nale khadi
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.
Imibuzo ebuzwa kaningi
Yini ifomu lokulahleka kwesikhathi esingu-half-life?
Inani elisele ngemuva kwesikhathi t ngu N = N₀ × (½)^(t/t½). Ngemuva kokuphila kwengxenye eyodwa, ingxenye ihlala, ngemuva kwengxenye ezimbili, ngemuva kwengxenye yesithathu, njalo njalo.
Yini i-decay constant nesikhathi sokuphila esiphakathi?
Izinga lokulahleka lihlala likhona λ = ln2 / t½ ≈ 0.693 / t½, ingozi yokulahleka ngeyunithi yesikhathi. Isikhathi sokuphila esiphakathi τ = 1 / λ = t½ / ln2 yisikhathi esiphakathi lapho i-atomi iphila khona — cishe 1.44 ingxenye yokuphila.
Ingabe ngingakwazi ukuthola isikhathi esingu-half-life kusuka ku-metrics ezimbili?
Yebo. Misela "ukulungisa" ku-half-life bese ufaka isilinganiso sokuqala kanye nesincane esisele kanye nesikhathi esidlule; ithuluzi lixazulula t½ = t × ln2 / ln(N₀/N).
Ingabe i-carbon-14 ihlobene kanjani nesikhathi sokuphila?
I-carbon-14 ihlukaniswa ngesikhathi esingu-5,730, ngakho ukulinganisa ukuthi i-C-14 ihlala isikhathi esingakanani esimisweni esisodwa esiphilayo. Kusuka kumayunithi angama-100, cishe ama-78.5 ahlala ngemuva kweminyaka engama-2,000, futhi cishe ingxenye ngemuva kwama-5,730 - isisekelo se-radiocarbon dating.
Yini amayunithi asetshenziswa isikhathi nesikhathi esingu-half-life?
Noma yiluphi uhlobo, kuze kube isikhathi esidlule kanye nesikhathi esingu-half-life sihlukaniswe. Faka zombili eminyakeni, noma zombili izisekhondi; isilinganiso t / t½ sizo zonke izinto ezibalulekile, futhi izimpendulo zibuyela kuloluhlobo olufanayo lweyunithi.
Ingabe kusele okuningi ngemuva kwezinsuku ezingu-100?
Ukuphindaphinda ngengxenye eyodwa yempilo engxenyeni ngayinye: 50% ngemuva komunye, 25% ngemuva kwesibini, 12.5% ngemuva kwethathu, 6.25% ngemuva kwesine. Ngemuva kwezinsuku ezingu-10 zokuphila kwengxenye ngaphansi kwe-0.1% zihlala, ngakho-ke "izinsuku ezingu-10 zokuphila kwengxenye" yimithetho ejwayelekile yokudlula.
Ingabe isikhathi esingu-half-life sixhomekeka ekubeni ngenza lutho oluningi?
Akuna. Kuyinto eqinile ye-isotope, ehlukile kubukhulu besampula, izinga lokushisa noma isimo se-chemical. Uma uqala nge-gram noma i-ton, inhlamvu iqala ukufa ngesikhathi esifanayo - okuyenza ibe yihora elithembekile.
API — sebenzisa le calculator kusuka kukhodi
Nquma le calculator njenge JSON evulekile yendawo yokuqeda - akukho isithonjana esidingekayo. Thumela amaxabiso endawo ngezansi njengezilungiselelo zombuzo noma i-JSON. Noma yini ongayishiya isebenzisa iphutha elifanayo elifakwe ngaphambili lekhasi; ipharamitha engaziwa yi-400, ayikho i-zero emnyama. Funda i-API egcwele →
Ingxenye yendawo
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);Izibalo ziyisilinganiso esisetshenziswa ukuqondisa kuphela, hhayi ukucebisa ngezimali, ukwelashwa noma ukukhokha.