Beer–Lambert Law Calculator

Figran

Solve A = εlc, or get protein, DNA or RNA concentration and purity ratios from absorbance.

  • A = εlc
  • Protein A280
  • DNA and RNA A260
  • Batch samples
Mode
Method
Extinction coefficient from

Samples

SampleA280A260DilutionRemove sample
Path length

BSA

A280 · Extinction coefficient

E0.1% 0.667 · 1 cm path · undiluted

0.780 mg/mL
11.7 µM

Beer–Lambert law calculator examples

Start with an example and adapt it to your samples.

BSA standard at A280

Calculate BSA mass and molar concentration from one reading.

BSA · E0.1% 0.667 · 1 cm

IgG antibody at 1:10 dilution

Account for dilution when measuring an antibody.

IgG · E0.1% 1.37 · 1:10 dilution

Lysozyme from its sequence

Predict ε from the mature protein sequence and cystines.

Source: UniProt P00698

Plasmid minipreps with purity ratios

Compare four samples after baseline correction.

4 samples · A260, A280, A230

Total RNA quality check

Calculate concentration and inspect two purity ratios.

RNA · 1 sample

Primer stock from its sequence

Use the DNA sequence to calculate the extinction coefficient.

17 nt · ε260 from sequence

NADH at 340 nm

Calculate concentration using a known molar coefficient.

ε340 6,220 M⁻¹ cm⁻¹

Crude lysate with Warburg–Christian

Estimate protein from measurements at two wavelengths.

A280 and A260 · no ε needed

How to calculate concentration from absorbance

Calculate a concentration in four steps.

  1. 1Choose a mode

    Select protein, nucleic acid or A = εlc.

  2. 2Choose a coefficient

    Choose a preset, sequence or known coefficient.

  3. 3Enter readings

    Enter or paste readings, dilution and path length.

  4. 4Save the result

    Copy the results or export a CSV.

Beer–Lambert law and extinction coefficients

Absorbance connects concentration, path length and a substance-specific coefficient.

A = ε · l · c

c = A · D / (ε · l)

A = 2 − log₁₀(%T)

CoefficientUnitsRelationship
Molar absorption coefficientM⁻¹ cm⁻¹ε
Mass coefficient E0.1%mL mg⁻¹ cm⁻¹ε / MW
Mass coefficient E1%Absorbance of a 10 mg/mL solution at 1 cm10 × E0.1%

Coefficients can come from a sequence, a supplier or an experimental measurement. Check the usable range of your instrument.

References: IUPAC Gold Book · Thermo NanoDrop One · Thermo TN52629 (NADH)

Protein concentration from A280

At A280 = 1 and a 1 cm path, the concentration depends on the protein coefficient.

Proteinε280 (M⁻¹ cm⁻¹)MW (g/mol)E0.1%mg/mL at A280 = 1µM at A280 = 1
BSA44,30966,4300.6671.5022.6
IgG205,500150,0001.370.7304.87
Lysozyme37,97014,3132.650.37726.3

mg/mL = (1.55 · A280 − 0.76 · A260) × D / l

The sequence estimate depends on the cysteine state and can be less reliable without tryptophan.

References: Pace et al. (1995) · Sigma BSA · UniProt P00698 · Thermo NanoDrop purity ratios · GE Spectrophotometry Handbook

DNA and RNA concentration from A260

The conversion factor depends on the nucleic acid and, for short oligos, its sequence.

c = A260 × factor × D / l

Sample typeFactor (µg/mL per A260)At A260 = 0.35, dilution ×20
dsDNA50350.0 ng/µL
ssDNA33231.0 ng/µL
RNA40280.0 ng/µL
Oligo from sequenceε260 = 172,500 M⁻¹ cm⁻¹212.2 ng/µL

A260/A280 and A260/230 purity ratios

RatioTypical valuePossible low value causePossible high value cause
DNA A260/A280~1.8Phenol or other reagentpH or measurement variation
RNA A260/A280~2.0Phenol or other reagentpH or measurement variation
A260/2302.0–2.2Salt, guanidine or carbohydrateBlank or measurement variation

References: Thermo T042 · Thermo TN52646 · Thermo T123 · Wilfinger et al. (1997) · Glasel (1995) · OligoCalc

Beer–Lambert law calculator FAQ

How do I find concentration from absorbance?

Divide absorbance by ε and path length, then multiply by the dilution factor. For BSA, A280 = 0.52 and E0.1% = 0.667 gives 0.780 mg/mL at 1 cm.

How do I calculate molar absorptivity?

Divide absorbance by concentration and path length. A series of known concentrations can provide a more reliable slope; this calculator solves a single point.

Where do I get my protein’s extinction coefficient?

Use a supplier value or predict it from the amino-acid sequence. The prediction depends on cysteine state and may be less accurate without tryptophan. View more protein properties in the Protein Molecular Weight Calculator.

Can I paste NanoDrop readings?

Yes. Paste a table with recognized column headings. NanoDrop reports 10 mm equivalent absorbance, so use a 1 cm path length. NanoDrop is a Thermo Fisher Scientific trademark.

What A260/A280 and A260/230 ratios mean pure DNA or RNA?

Typical A260/A280 values are about 1.8 for DNA and 2.0 for RNA; A260/230 is commonly 2.0–2.2. Low concentration, pH and contaminants can affect these ratios.

Why use 50 µg/mL for dsDNA, and when should I use a sequence?

The factor is an average for double-stranded DNA. Short oligos vary with base composition, so use a sequence-specific coefficient for an unmodified DNA oligo. To convert DNA concentration to copy number, use the DNA Copy Number Calculator.

How do I convert transmittance to absorbance?

Use A = 2 − log₁₀(%T). A transmittance of 35% corresponds to an absorbance of 0.456.

What absorbance range gives reliable results?

The usable range depends on the instrument and sample. Consult its specifications; for a 1 cm cuvette, high readings may require dilution.

Can I use it for Bradford, BCA or peptide samples?

Bradford and BCA assays require a standard curve. Peptides containing tryptophan or tyrosine can be estimated from their sequence, subject to the method’s limitations. For standard curves use the ELISA Standard Curve Calculator. For solution preparation use the Molarity Calculator.

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