t1/2=ln⁡2λ≈0.693λt_{1/2} = \frac{\ln 2}{\lambda} \approx \frac{0.693}{\lambda}

The time required for half of the radioactive nuclei to decay.

Variables

t1/2
Half-life
Allowed values: greater than 0
s
λ
Decay constant
Allowed values: greater than 0
s⁻¹

Your notes

0/5000

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  • λ = 2 s⁻¹ (Decay constant)

Result: t1/2 = 0.34657359 s

Where this formula is listed

Common questions

What is the Half-Life formula?

Half-Life is written t_½ = (ln 2)/λ ≈ 0.693/λ. The time required for half of the radioactive nuclei to decay. It belongs to Modern Physics, under Nuclear Physics.

What are the units in t_½ = (ln 2)/λ ≈ 0.693/λ?

In SI units, t_½ is half-life, measured in s; λ is decay constant, measured in s⁻¹.