Exponential Decay Half-Life Calculator

Use the Exponential Decay Half-Life Calculator for a transparent, instant calculation with validated inputs and cited sources. For a query such as “half life formula”, enter the matching values and units below and review the stated assumptions.

Inputs

Results update as you type.

* Required
x ≥ 0
x ≥ 0
x ≥ 0.000001

Result

Results update as you type.

Amount remaining
12.5
Quantity lost through decay
87.5

How to use this calculator

Enter the requested values and units.

Review the assumptions and any warnings shown with the result.

Use the result together with the cited source and your real-world requirements.

Formula

Remaining amount = initial amount × (1/2)^(elapsed time ÷ half-life).

Worked example

Worked example: Inputs: Initial amount: 100; Elapsed time: 30; Half-life: 10. Outputs: Amount remaining: 12.5; Quantity lost through decay: 87.5.

Assumptions and limits

  • The result depends on the values, units, and assumptions entered. It does not infer missing context.

Sources

Related calculators

Verification

How this calculator is checked

Trust comes from reproducible evidence, not model confidence. You can inspect the formula, assumptions, worked example, and cited sources on this page.

Frequently asked questions

How does the Exponential Decay Half-Life Calculator work?

Remaining amount = initial amount × (1/2)^(elapsed time ÷ half-life).

What should I enter?

Initial amount, Elapsed time, Half-life

What should I verify?

Review the assumptions and any warnings shown with the result. The result depends on the values, units, and assumptions entered. It does not infer missing context.

Last updated 2026-08-25 · science-half-life-v1 · opportunity-source-2026-08-24 · Published by YunFanLabs