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Half-life Calculator

⚛ Modern physics. Use the Half-life formula to find left after time t, starting amount, time, half-life: pick the value you want, type the others, and the answer updates as you go.

N=N0(12)t/T1/2N = N_0\left(\tfrac{1}{2}\right)^{t/T_{1/2}}
Left after time t125

Pick the ○ next to the value you want to find, fill in the others, and it solves as you type.

What each letter means

QuantityUnit
Left after time tno unit
Starting amountno unit
Timeyears
Half-lifeyears

Worked example

Find the left after time t when Starting amount = 1000, Time = 15 years, Half-life = 5 years.

Using N = N0(1/2)^(t/T1/2): Left after time t = 125.

Frequently asked questions

What is the formula for Half-life?

N = N0(1/2)^(t/T1/2).

What do the letters stand for, and what units are used?

Left after time t, Starting amount, Time in years, Half-life in years.

How do you calculate left after time t?

Put the values into N = N0(1/2)^(t/T1/2). For example, with Starting amount = 1000, Time = 15 years, Half-life = 5 years, left after time t = 125.

Can I solve for a different value?

Yes. In the calculator above, pick the circle next to any value (left after time t, starting amount, time, half-life) and fill in the others: it rearranges the formula for you.

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