Mpikirakira ny elanelam-potoana
Ny fihenan'ny radioaktiva: jereo ny isan'ny sisa tavela, ny fotoana na ny fe-potoana, miaraka amin'ny fihenan'ny
Manova ny valin'ny fanoratanao.
Momba ity kapila ity
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.
Fanontaniana matetika
Inona no atao hoe "fihenan'ny sandan'ny solika"?
Ny isan'ny sisa tavela aorian'ny fotoana t dia N = N₀ × (½)^(t/t½). rehefa avy ny iray ny antsasaky ny andro dia ny antsasaky ny andro, rehefa avy ny roa ny ampaha-dimy, rehefa avy ny telo ny ampaha-polo, ary ny sisa.
Inona no tsy miova amin'ny fihenan'ny fihenan'
Ny fihenan'ny tsy miova dia λ = ln2 / t½ ≈ 0.693 / t½, ny mety ho fihenan'ny isan'ny fotoana. ny salan'isa ny fiainana τ = 1 / λ = t½ / ln2 dia ny salan'isa ny fotoana ny atomy miaina — eo amin'ny 1.44 ny antsasaky ny fiainana.
Afaka mahita ny fe-potoana antsasaky ny fotoana avy amin'ny fanisana roa ve aho?
Eny. Ataovy amin'ny half-life ny "solve for" ary ampidiro ny isa voalohany sy ny sisa tavela, ampiana ny fotoana lasa; mamaha ny t½ = t × ln2 / ln(N₀/N) ilay fitaovana.
Ahoana no ahafahan'ny karbona-14 mifandray amin'ny fotoanan'ny antsasaky ny andro?
Carbon-14 decays with a half-life of 5,730 years, so measuring how much C-14 is left in a once-living sample dates it. From 100 units, about 78.5 remain after 2,000 years, and roughly half after 5,730 — the basis of radiocarbon dating.
Inona no isa ampiasaina amin'ny fotoana sy ny fe-potoana?
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.
Inona no sisa tavela aorian'ny fihenan-danja marobe?
Multiply by one-half for each half-life: 50% after one, 25% after two, 12.5% after three, 6.25% after four. After ten half-lives under 0.1% remains, which is why "about ten half-lives" is a common rule for effectively gone.
Miankina amin'ny habetsaky ny fitaovana ampiasaiko ve ny fe-potoanan'ny ampahefatry ny fiainana?
Tsia. Tsy miova ny toetran'ny isotope, tsy miankina amin'ny haben'ny santionany, ny hafanana na ny toe-javatra simika. Na manomboka amin'ny grama iray na amin'ny taonina iray ianao, ny ampahany dia miparitaka amin'ny antsasaky ny andro iray — izay mahatonga azy ho famantaranandro azo antoka.
API — mampiasa io milina fanisana io avy amin'ny rindran'asa
Antsoy ho toy ny farany JSON malalaka ity milina fanisana ity - tsy mila famaha. Mandefa ireo sanda eo amin'ny sehatr'asa etsy ambany ho toy ny mpizaratry ny fanontaniana na JSON. Ny zavatra tsy voalaza dia mampiasa ny sanda tsotra efa nameno ity pejy ity; 400 ny sanda tsy fantatra, tsy aotra tsy misy feo. Vakio ny tahirin-kevitra API feno →
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);Ny voka-pikarohana dia natao ho an'ny torohevitra ankapobeny ihany, tsy torohevitra ara-bola, ara-pitsaboana na ara-bola.