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Beer–Lambert concentration worksheet

Calculate molar concentration from absorbance, known molar coefficient and optical path.

01Enter your values

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Use c = A / (ε × l), with blank-corrected absorbance A, molar coefficient ε in L/(mol·cm), and path l in cm. Report concentration in mol/L, mmol/L and µmol/L. Transmittance is 100 × 10^(-A) percent. Convert only the path length when units change; coefficient units remain fixed.

Example
L/(mol·cm)
cm

How it works

Calculate molar concentration from absorbance, known molar coefficient and optical path.

c = A / (εl); T% = 100 × 10⁻ᴬ

A known homogeneous single absorbing species, matched wavelength and matrix, and a validated linear measurement range are assumed. Scattering and stray light are not modeled. Enter a molar coefficient, not a mass or A1% coefficient. No chemical lookup, dilution recipe, dose or clinical interpretation. Works offline after loading.

Your data stays yours

Inputs are processed on this page and are never sent to a server.

About this tool

Calculate molar concentration from absorbance, known molar coefficient and optical path.

Use c = A / (ε × l), with blank-corrected absorbance A, molar coefficient ε in L/(mol·cm), and path l in cm. Report concentration in mol/L, mmol/L and µmol/L. Transmittance is 100 × 10^(-A) percent. Convert only the path length when units change; coefficient units remain fixed.

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How to use it

  1. Enter your values

    Blank-corrected absorbance · Molar absorption coefficient · Optical path length

  2. Calculate / generate

    Calculate molar concentration from absorbance, known molar coefficient and optical path.

  3. Result

    Molar concentration: 0.00004 mol/L Millimolar concentration: 0.04 mmol/L Micromolar concentration: 40 µmol/L

Calculation method

  1. Use c = A / (ε × l), with blank-corrected absorbance A, molar coefficient ε in L/(mol·cm), and path l in cm.
  2. Report concentration in mol/L, mmol/L and µmol/L.
  3. Transmittance is 100 × 10^(-A) percent.
  4. Convert only the path length when units change; coefficient units remain fixed.
c = A / (εl); T% = 100 × 10⁻ᴬ
Example scenario

Beer–Lambert concentration worksheet

Blank-corrected absorbance
0.6
Molar absorption coefficient
15000 L/(mol·cm)
Optical path length
1 cm
Result
Molar concentration: 0.00004 mol/L
Millimolar concentration: 0.04 mmol/L
Micromolar concentration: 40 µmol/L

Frequently asked questions

What does this result assume?

A known homogeneous single absorbing species, matched wavelength and matrix, and a validated linear measurement range are assumed. Scattering and stray light are not modeled. Enter a molar coefficient, not a mass or A1% coefficient. No chemical lookup, dilution recipe, dose or clinical interpretation. Works offline after loading.

Where does my data go?

Calculations run on your device. Form inputs are not sent to a server.

Terms and definitions

Enter your values

Measurement system

The initial choice follows your browser region. Your choice is remembered on this device. Gallons are US gallons. Switching units keeps your numbers unchanged and interprets them in the new unit.

Numbers stay unchanged. Check the new unit and enter the intended measurement, or select an example for that system.

Blank-corrected absorbance

Dimensionless absorbance at the coefficient’s wavelength; negative readings are rejected.

Enter a numerical value for this quantity.

Minimum: 0 · Maximum: 300

Molar absorption coefficient

Known positive coefficient in L/(mol·cm), fixed in both length modes.

Enter a numerical value for this quantity. Use the unit shown beside this field. L/(mol·cm)

Minimum: 1e-12 · Maximum: 1000000000000 L/(mol·cm)

Optical path length

Actual light path through the sample, not the vessel outside width.

Enter a numerical value for this quantity. Use the unit shown beside this field. cm / in

Minimum: 1e-12 · Maximum: 1000000000000 cm

Result

Result

Use c = A / (ε × l), with blank-corrected absorbance A, molar coefficient ε in L/(mol·cm), and path l in cm. Report concentration in mol/L, mmol/L and µmol/L. Transmittance is 100 × 10^(-A) percent. Convert only the path length when units change; coefficient units remain fixed.

Calculated from your entries using the method below.

Molar concentration

Concentration in mol/L under the supplied coefficient and path assumptions.

Calculated from your entries using the method below.

Millimolar concentration

Molar concentration multiplied by 1000, in mmol/L.

Calculated from your entries using the method below.

Micromolar concentration

Molar concentration multiplied by 1000000, in µmol/L.

Calculated from your entries using the method below.

Value

Use c = A / (ε × l), with blank-corrected absorbance A, molar coefficient ε in L/(mol·cm), and path l in cm. Report concentration in mol/L, mmol/L and µmol/L. Transmittance is 100 × 10^(-A) percent. Convert only the path length when units change; coefficient units remain fixed.

Calculated from your entries using the method below.

Unit

Convert only the path length when units change; coefficient units remain fixed.

Calculated from your entries using the method below.

Transmittance

Calculated light transmission percentage corresponding to the entered absorbance.

Calculated from your entries using the method below.

Common mistakes and quick fixes

Beer–Lambert concentration worksheet

Mistake: Entering a mass-based coefficient into the molar coefficient field.

Fix: Use a documented molar coefficient with exactly L/(mol·cm) units at the matching wavelength.

Limits and key assumptions

  • A known homogeneous single absorbing species, matched wavelength and matrix, and a validated linear measurement range are assumed. Scattering and stray light are not modeled. Enter a molar coefficient, not a mass or A1% coefficient. No chemical lookup, dilution recipe, dose or clinical interpretation. Works offline after loading.
  • Convert only the path length when units change; coefficient units remain fixed.
  • Displayed results may be rounded; rounding does not add measurement precision.