Àwọn Ìṣàmúlò-ètò

Àwọn ìṣàfarawé àwọn ìṣàmúlò-ètò: ṣàfihàn àwọn ìpamọ́, àwọn àkókò àti àwọn ìṣàmúlò-ètò, láti inú àwọn ìṣàmúlò-ètò àti àwọn ìṣàmúlò-ètò.

Àwọn àwọn ààyè-iṣẹ́

Àwọn ìṣàmúlò-ètò

Àwọn ìṣàmúlò-ètò ?

Nínú àwọn òkè àkókò àkókò - àwọn àkókò náà ló àkókò náà.

Àkókò tí a ti ṣẹ́gun

Àwọn ìṣàmúlò-ètò àìfàn ?

Lólò láti fi àwọn àwọn ààyè-iṣẹ́ pamọ́.

Àwọn ìṣàmúlò-ètò —

Àwọn ìpèwọ̀n tí wọ́n tí —

Àwọn ìṣàmúlò-ètò —

Àwọn ìṣàmúlò-ètò àwọn ìṣàmúlò-ètò —

Àwọn Àtòjọ-ẹ̀yàn àwọn ìṣàmúlò-ètò

Ńlà àwọn àwọn ààtò àtòjọ-ẹ̀yàn yìí?

Àkóónú ìṣàmúlò-ètò yìí

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.

Àwọn Àtòjọ-ẹ̀yàn

Kini àwọn ìṣàmúlò-ètò ìṣàmúlò-ètò?

The amount left after time t is N = N₀ × (½)^(t/t½). After one half-life half remains, after two a quarter, after three an eighth, and so on.

Kini àwọn ìṣàfarawé àwọn ìṣàmúlò-ètò àti àwọn ìṣàmúlò-ètò ìṣàmúlò-ètò?

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.

Ń lè rí ìgbà kejì láti inú àwọn ìṣàmúlò-ètò mejì?

Yes. 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).

Bawo ni a ṣe le ṣe asiko carbon-14 kan ni ibatan si igbesi aye?

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.

Àwọn àwọn ìtàn wo ní àwọn àkókò àti àwọn ìtàn-àwọ̀n náà lo?

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.

Ìgbà wò nínú àwọn ìṣàmúlò-ètò àwọn ìṣàmúlò-ètò

Fí ẹ̀yàn kan pọ̀ nípa ìtàn fun gbogbo ìgbà kejì: 50% láti inú ọkan, 25% láti inú meji, 12.5% láti inú mẹ́ta, 6.25% láti inú mẹ́ta. Lẹ́ẹ̀kan nínú àwọn ìgbà kejì mẹ́tà náà, àwọn ìgbà kejì mẹ́tà náà tí wọ́n tí 0.1%̀ lọ́wọ́lọ́wọ́, eyi nípa "nípa àwọn ìgbà kejì mẹ́tà" ní àwọn

Ńlà ìgbà kejì nípa àwọn àwọn ààyè-iṣẹ́ mìíràn tí mò tí ìṣàfilọ́lẹ̀ láti fi?

Kò. Ó jẹ́ àbùdá àìdálẹ̀ tí a fi pamọ́ fún àwọn isotope, tí a fi pamọ́ fún ìwọ̀n ààyè-iṣẹ́, ìṣàmúlò-ètò àti àwọn ìṣàmúlò-ètò kemikali. Boya o tí bẹrẹ̀ láti inú gramu tàbí tón, àwọn ìpàdá ìparí nínú ìgbà ìparí-ìgbà kan nínú - tí o jẹ́ ohun tí o fi jẹ́ aago ìdáràn.

API — ló àwọn ìṣàmúlò-ètò yìí láti inú ìṣàmúlò-ètò

Fi àwọn ìṣàmúlò-ètò yìí kọ̀ǹpútà yìí láti jẹ́ ààyè-iṣẹ́ JSON tí a tí fi pamọ́ - kò ní bọ́tìnì kan tí a fẹ́. Fi àwọn fálù ààyè-iṣẹ́ sílẹ̀ sí bí àwọn àwọn ìṣàmúlò-ètò àti JSON. Anything you omit uses the same default this page is pre-filled with; an unknown parameter is a 400, never a silent zero. Ka àwọn àkọlé API kíkún →

Àwọn Ààyè Ìjánu-ìṣàmúlò-ètò

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);

Results are estimates for general guidance only, not financial, medical or tax advice.

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