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Math & Numbers

Radiation Equivalent Dose Converter (Sv / rem)

· Last updated：2026-08-01

Convert radiation equivalent dose between Sv (sievert, SI base), mSv (1 = 0.001 Sv), µSv (1 = 1e-6 Sv), rem (1 = 0.01 Sv), and mrem (1 = 1e-5 Sv). Converts via Sv to the target unit and lists the equivalent value in all five units. ⚠️ Equivalent dose is NOT absorbed dose: equivalent dose = absorbed dose (Gy) × radiation weighting factor w_R (X/γ/β = 1, neutrons 5–20, alpha 20). Converting Sv → Gy requires dividing by w_R — use the absorbed-dose converter for that side. Reference values: natural background ≈ 3 mSv/yr, chest CT ≈ 7 mSv, annual occupational limit ≈ 50 mSv/yr, ARS threshold ≈ 1 Sv.

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Written by the Elysia Tools team

Tool usage guide

Learn when to use this tool, what it supports, and how real users apply it.

Key facts

Category
Math & Numbers
Input types
select, number
Output type
json
Sample coverage
4
API ready
Yes

Overview

Convert non-negative radiation equivalent dose values between Sv, mSv, µSv, rem, and mrem. Enter a value, choose the input and output units, set the decimal places, and receive the converted result plus equivalent values in all five units.

When to use

  • Convert clinical or environmental reference values between sieverts and rem-based units.
  • Compare measurements recorded in Sv, mSv, µSv, rem, or mrem.
  • Check radiation equivalent dose calculations without manually applying unit factors.

How it works

  1. 1Enter a non-negative equivalent dose value.
  2. 2Select the input unit and the unit for the main output.
  3. 3Choose the number of decimal places from 0 to 10.
  4. 4The converter calculates through Sv and returns the selected result with equivalents in Sv, mSv, µSv, rem, and mrem.

Use cases

  • Radiation protection teams can compare dose records reported in SI and rem-based units.
  • Students and educators can verify conversions for radiation science examples.
  • Analysts can standardize environmental, medical, or occupational reference values before comparison.

Examples

1. Convert a chest CT reference dose

Medical physics student

Background

A study example uses a typical chest CT equivalent dose of 7 mSv and requires the value in rem.

Problem

Convert 7 mSv to rem while retaining equivalent values in the other supported units.

How to use

Set Input unit to mSv, enter 7, select rem as the Output unit, and keep Decimal Places at 6.

{"inputUnit":"mSv","value":7,"outputUnit":"rem","decimalPlaces":6}

Outcome

The result is 0.7 rem, with equivalents of 0.007 Sv, 7 mSv, 7000 µSv, and 700 mrem.

2. Express annual background radiation in microsieverts

Radiation safety trainee

Background

A reference comparison uses average natural background radiation of approximately 3 mSv per year.

Problem

Convert the annual value to µSv for a measurement log.

How to use

Set Input unit to mSv, enter 3, select µSv as the Output unit, and choose 6 decimal places.

FAQ

Which units does this converter support?

It supports Sv, mSv, µSv, rem, and mrem.

What value should I enter?

Enter a non-negative equivalent dose in the selected input unit.

Does the result include all supported units?

Yes. The JSON result lists equivalent values in all five supported units.

Can this converter convert Sv to Gy?

No. Sv is equivalent dose, while Gy is absorbed dose. Converting between them requires a radiation weighting factor.

How precise is the displayed result?

You can choose between 0 and 10 decimal places.

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{"inputUnit":"mSv","value":3,"outputUnit":"µSv","decimalPlaces":6}

Outcome

The result is 3000 µSv, with equivalents of 0.003 Sv, 3 mSv, 0.3 rem, and 300 mrem.