Protein Concentration Calculator
Calculate protein concentration using Beer-Lambert Law from UV absorbance at 280nm. Supports dilution correction and total protein estimation.
Protein Concentration Calculator
Calculator
Adjust values & calculateEnter your values below. Every result is computed in your browser โ no data is sent to any server.
Formula: c = A / (epsilon x l)
Worked example โ Stock concentration: 6.83 mg/mL (1.027 x 10^-4 M)
Formula
c = A / (epsilon x l)
Where c = molar concentration (M), A = absorbance at 280 nm, epsilon = molar extinction coefficient (M-1 cm-1), and l = cuvette path length (cm). Multiply by molecular weight and dilution factor to get mg/mL concentration.
Worked Examples
Example 1: BSA Concentration from A280 Reading
Problem:A BSA sample (MW = 66,500 Da, epsilon = 43,824 M-1 cm-1) gives an A280 of 0.45 in a 1 cm cuvette after 10x dilution. Find the stock concentration.
Solution:c = A / (epsilon x l) = 0.45 / (43824 x 1) = 1.027 x 10^-5 M Concentration = 1.027 x 10^-5 x 66500 / 1000 = 0.683 mg/mL Adjusted for 10x dilution: 0.683 x 10 = 6.83 mg/mL
Result:Stock concentration: 6.83 mg/mL (1.027 x 10^-4 M)
Example 2: Total Protein in a Sample Volume
Problem:An antibody solution (MW = 150,000 Da, epsilon = 210,000 M-1 cm-1) reads A280 = 0.80 in 1 cm path. No dilution. Volume = 200 uL.
Solution:c = 0.80 / (210000 x 1) = 3.81 x 10^-6 M Concentration = 3.81 x 10^-6 x 150000 / 1000 = 0.571 mg/mL Total protein = 0.571 x (200/1000) = 0.114 mg = 114 ug
Result:Concentration: 0.571 mg/mL | Total protein: 114 ug in 200 uL
Frequently Asked Questions
How does Beer-Lambert Law apply to protein concentration measurement?
The Beer-Lambert Law (A = epsilon x l x c) is the foundational equation for spectrophotometric protein concentration measurement. It states that absorbance (A) is directly proportional to the molar extinction coefficient (epsilon), the path length of the cuvette (l, usually 1 cm), and the concentration of the analyte (c). For proteins, absorbance is typically measured at 280 nm (A280), where tryptophan and tyrosine residues absorb UV light. By rearranging the equation to c = A / (epsilon x l), you can calculate the molar concentration directly from the measured absorbance. This method is non-destructive, fast, and requires no reagents.
What is the molar extinction coefficient and how is it determined?
The molar extinction coefficient (epsilon) is a measure of how strongly a protein absorbs light at a particular wavelength, expressed in units of M-1 cm-1. It depends on the amino acid composition of the protein, specifically the number of tryptophan, tyrosine, and cystine residues. You can calculate it theoretically using the Pace equation: epsilon280 = (nTrp x 5500) + (nTyr x 1490) + (nCystine x 125), where nTrp, nTyr, and nCystine are the counts of each residue. Online tools like ProtParam on the ExPASy server can compute this from a protein sequence. For BSA, epsilon280 is approximately 43,824 M-1 cm-1.
Why is the dilution factor important in protein concentration calculations?
The dilution factor corrects for any dilution performed on the original sample before spectrophotometric measurement. Proteins often need to be diluted so that their absorbance falls within the linear range of Beer-Lambert Law (typically A280 between 0.1 and 1.0). If you dilute a sample 10-fold before measuring, you must multiply the calculated concentration by 10 to obtain the true concentration of the original stock solution. Failing to account for dilution is one of the most common errors in protein quantification. Always record the exact dilution ratio, as even small errors propagate through all downstream calculations and experimental protocols.
What are common methods for measuring protein concentration besides A280?
Several alternative methods exist for protein quantification. The Bradford assay uses Coomassie Brilliant Blue dye binding and measures absorbance at 595 nm, with a linear range of 1-25 micrograms per milliliter. The BCA (bicinchoninic acid) assay detects reduced copper ions and is less sensitive to detergents. The Lowry assay combines Biuret reaction with Folin-Ciocalteu reagent reduction. Fluorometric assays using reagents like NanoOrange or CBQCA offer high sensitivity down to nanogram levels. Each method has advantages: A280 is fastest and non-destructive, Bradford is robust and simple, BCA is compatible with detergents, and fluorometric methods provide the greatest sensitivity.
What factors can interfere with accurate protein concentration measurements?
Multiple factors can introduce errors in spectrophotometric protein measurements. Nucleic acid contamination absorbs strongly at 260 nm and can inflate A280 readings; an A260/A280 ratio above 0.6 suggests contamination. Buffer components such as imidazole, DTT, and certain detergents absorb at 280 nm and create false high readings. Light scattering from aggregated proteins or particulates increases apparent absorbance. Temperature fluctuations affect both protein solubility and spectrophotometer readings. Using the wrong extinction coefficient, forgetting dilution factors, or working outside the linear range of Beer-Lambert Law (absorbance above 1.0) are common procedural errors that significantly impact accuracy.
Why is 280 nm the wavelength used, and what happens with a protein that has no tryptophan?
Absorbance near 280 nm comes almost entirely from the aromatic side chains of tryptophan and tyrosine, with a small contribution from cystine in disulfide bonds. Tryptophan dominates because its molar absorptivity is roughly four times that of tyrosine. A protein lacking both residues has an extinction coefficient close to zero, so A280 cannot measure it at all, and a protein with only one or two tyrosines gives a coefficient so small that ordinary pipetting error swamps the reading. Those samples need a colorimetric assay instead.
What does the A260/A280 ratio tell you about the sample?
Nucleic acids absorb strongly at 260 nm and still absorb appreciably at 280, so contaminating DNA or RNA inflates the A280 reading and makes the protein look more concentrated than it is. A reasonably pure protein gives a 260/280 ratio in the region of 0.6, whereas pure nucleic acid sits near 1.8 to 2.0. A ratio climbing well above 0.7 signals nucleic acid carryover and calls for nuclease treatment or a further purification step before the A280 figure is trusted.
How do you convert the molar concentration from Beer-Lambert into mg/mL?
Molar concentration is moles per litre and mg/mL is numerically the same as grams per litre, so the conversion is simply concentration in molar multiplied by molecular weight in g/mol. A 10 micromolar solution of a 50,000 Da protein is 1 x 10^-5 x 50,000 = 0.5 g/L, which is 0.5 mg/mL. The same relationship explains the shortcut of an extinction coefficient divided by molecular weight, which gives the absorbance a 1 mg/mL solution would produce in a 1 cm cuvette.
What absorbance range gives a reliable reading, and what should you do outside it?
Spectrophotometers are most linear in a middle band of absorbance, typically around 0.1 to 1.0 for a 1 cm path. Below that, the signal is small relative to baseline drift and cuvette imperfections; above it, so little light reaches the detector that stray light causes the reading to plateau and understate concentration. A sample that reads too high should be diluted with the same buffer used for the blank and the dilution factor applied, or measured on an instrument with a shorter path length, which shortens l in the Beer-Lambert equation proportionally.
How does light scattering from aggregated protein bias the reading, and how is it corrected?
Aggregates and particulates scatter light out of the beam, and the detector cannot distinguish scattered light from absorbed light, so the apparent absorbance is too high across the whole spectrum. Because proteins do not absorb meaningfully above about 320 nm, any signal there is scattering, and a common correction is to subtract a scaled baseline derived from the reading at 320 or 340 nm. The better fix is to centrifuge or filter the sample first, since heavy scattering usually means the preparation itself has a problem.
References
Background & Theory
History
Reviewed for accuracy by Daniel Agrici, Founder & Lead Developer ยท Editorial policy
Related Calculators
๐งฎDnato Protein Translator
Calculate dnato protein translator with inputs, formulas, and instant results.
๐งฎProtein Isoelectric Point Calculator
Calculate protein isoelectric point with inputs, formulas, and instant results.
๐งฎCell Suspension Concentration Calculator
Calculate cell suspension concentration with inputs, formulas, and instant results.
๐งฎMIC Calculator โ Antibiotic Susceptibility
Calculate micminimum inhibitory concentration with inputs, formulas, and instant results.
๐งฎProtein Molecular Weight Calculator
Calculate protein molecular weight with inputs, formulas, and instant results.
๐งฎDNA Concentration Calculator (ng/ยตL from A260)
Calculate dnaconcentration with inputs, formulas, and instant results.
๐งฎAlpaca Gestation Calculator
Calculate alpaca gestation with inputs, formulas, and instant results.
๐งฎCat Pregnancy Calculator โ Due Date & Gestation
Calculate cat pregnancy with inputs, formulas, and instant results.