Half-Life Kalkülatory
Radioaktiv çöküş: galdyşy mukdary, geçen wagt ýa-da yarym ömri, çöküş körügi bilen tap.
Netijeler ýazýan wagtyň täzelener.
Bu hasapçy hakda
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.
Köp soralýan soraglar
Half-life decay formula
Zaman t soň galyp galan mukdar N = N₀ × (½)^(t/t½). Bir yarym ömründen soň yarym galyp galýar, ikisinden soň dörtden bir, üçünden soň sekizden bir, we ş.m.
Decay constant and average lifetime is what?
Decay constant is λ = ln2 / t½ ≈ 0.693 / t½, the probability of decay per unit time. The average lifetime τ = 1 / λ = t½ / ln2 is the average time an atom survives - about 1.44 half-lives.
Iki ölçegden yarym ömrüni tapyp bilermi?
Eý. "solve for"-y yarym ömre goý we başlangyç we galan mukdarlary we geçen wagty giriz; esbap t½ = t × ln2 / ln(N₀/N) çözer.
Karbon-14 döwürleme nädip yarym ömre bagly?
Carbon-14 decay 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 about half after 5,730 — the basis of radiocarbon dating.
Zaman we yarym ömrüň näçe birlikleri ullanmaly?
Her bir birlik, geçen wagt we yarym ömrüň olary paýlaşança. Ikisini ýyllarda ýa ikisini sekuntlarda giriz; t / t½ nisbi ähli zat, we netijeler şol bir birlikde dolanyp geler.
Birnäçe yarym ömründen soň näçe galdy?
Her bir yarym ömrüň üçin yary bilen çoğalt: birden soň 50%, ikiden soň 25%, üçden soň 12.5%, dörtden soň 6.25%. On yarym ömründen soň 0.1% aşak galýar, şu sebäpden "ýokaryda on yarym ömrüň" effektiv gitmek üçin umumy bir düzgündir.
Yarym ömri men näçe madda bilen başlasam baglymy?
Haýal. Bu izotopyň belli bir häsiýetidir, nusga ululygyndan, temperaturadan ýa-da himiki ýagdaýyndan garaşsyz. Siz bir gram ýa-da bir tonna bilen başlasaňyz, ýarym ýykylmak dogry bir ýarym ömründe bolup geçýär - bu ony şeýle bir ygtybarly sagat edýär.
API — bu hasapçyny koddan ullan
Bu hasapçyny boş JSON ahtar noktasy hökmünde çagyr - açar gerek däl. Aşakdaky meýdança mykdarlaryny soragyň parametrleri ýa-da JSON hökmünde iber. Siziň goýmaýan hernäňiz şu sahypanyň öň bellenen öň bellenenini ulanýar; namydar parametr 400, hiç wagt sessiz sıfır däl. Eňlisçe senedleri oka →
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);Netijeler diňe umumy ýardam üçin hasaplanypdyr, maliýe, saglyk ýa-da salgyt maslahaty üçin däl.