Calculator
Radioactive decay: chọpụta ọnụọgụgụ nke nọ n'okpuru, oge nke gasịrị mọọbụ ndụ nke ọkara, na decay curve.
Nhọrọ ndị ahụ ga-akpụzi mgbe ị na-etipụta.
N'ihe banyere calculator a
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.
Ajụjụ ndị a na-ajụkarị
Gịnị bụ half-life decay formula?
Ogo nke echepụtara mgbe oge t bụ N = N₀ × (½)^(t/t½). Mgbe otu n'ime n'ime ndụ na-echepụta, mgbe abụọ n'ime otu, mgbe atọ n'ime otu, na nke ọzọ.
Gịnị bụ decay constant na mean lifetime?
Decay constant bụ λ = ln2 / t½ ≈ 0.693 / t½, ihe n'eme nke decay n'otu oge. Oge ndụ n'etiti τ = 1 / λ = t½ / ln2 bụ oge atọmu na-ebi ndụ - banyere 1.44 half-lives.
Enwere m ike ịchọta oge n'etiti site na nlele abụọ?
Ee. Hazie "nhazi maka" ka ọ bụrụ ndụ n'otu n'otu ma tinye oge mbụ na oge ndị ọzọ na-adịbeghị anya; tulee na-ewepụ t½ = t × ln2 / ln(N₀/N).
Olee otú carbon-14 na-ejikọta ya na ndụ nke ọkara?
Carbon-14 na-anwụ na ndụ nke afọ 5,730, ya mere ịtụle ihe C-14 dị n'ime ihe atụ nke ndụ otu oge na-egosipụta ya. Site na 100 unit, ihe dịka 78.5 na-adịgide mgbe afọ 2,000, na ihe dị ka nkeji mgbe 5,730 - ihe omuma nke radiocarbon dating.
Olee yunit ndị ahụ oge na n'elu-ọdịnihu na-eji?
Ọbụla kọmpụta, ebe ọ bụ na oge e mepere emepe na ndụ n'ime nkeji abụọ na-ekerịta ya. Tinye ha abụọ n'ime afọ, mọọbụ ha abụọ n'ime sekọnd; ọbụla nke t / t½ bụ ihe niile dị mkpa, na nsonaazụ na-abịa n'ime kọmpụta ahụ.
Olee ihe ọbụla ka echefuru mgbe ọbụna ọtụtụ ndụ n'elu ala?
Itinye site na otu n'ime maka ọbụla half-life: 50% mgbe otu, 25% mgbe abụọ, 12.5% mgbe atọ, 6.25% mgbe anọ. Mgbe ọbụla half-lifes 0.1% na-adịgide, nke bụ ihe mere "ihe dịka half-lifes 10" bụ iwu a na-eji maka n'ụzọ dị irè banye.
Ọ bụrụ na ọbụna ọbụna ndụ nke ọkara na-adabere na ihenhọrọ m ga-amalite na ya?
Ọ dịghị. Ọ bụ ihenhọrọ nke isotope, nke na-adabere na nha nlele, okpomọkụ mọọbụ kemika. Ọ bụrụ na ịmalite na gram mọọbụ ton, ọ ga-akwụsị n'ime otu n'ime ndụ n'otu - nke bụ ihe na-eme ka ọ bụrụ oge n'aka.
API — jiri kaadị a site na kóòdù
Kpọọ kalkulata a dịka ebe ngwụcha JSON n'efu - enweghị kii achọrọ. Ziga valiu ebe ahụ n'okpuru dịka paramita ajụjụ mọọbụ JSON. Ihe ọbụla ị na-ewepụ na-eji dìfọ́ọ̀ltụ̀ nke a na-edebe ihuakwụkwọ a na ya; parameter a na-amaghị bụ 400, ọ dịghị sẽọ̀rọ̀. Gụọ ngwe ndị ahụ niile →
Ebemkpofuozi
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);Ihe a na-ahụta bụ n'ihi nlekọta n'ozuzu ya, ọ bụghị nlekọta ego, ọgwụ ma ọ bụ nlekọta ego.