Biology, Genetics & Clinical Lab Molecular Biology, DNA & PCR Beer–Lambert law with standard A260 conversion factors (Sambrook, Molecular Cloning)

DNA & RNA Concentration from A260 Calculator

This calculator turns a 260 nm absorbance reading into the three numbers you actually need at the bench: concentration in ng/µL, total yield in µg, and molar concentration in µM so you can pipette a defined number of picomoles. It handles any dilution, any cuvette or microvolume pathlength, and the four standard conversion factors — 50 for double-stranded DNA, 33 for single-stranded DNA and oligonucleotides, and 40 for RNA.

Calculator

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Inputs this calculator takes, with typical values
InputWhat to enterExample
Absorbance at 260 nmThe blanked reading your spectrophotometer reports for the sample as it sat in the instrument.0.15 AU
Nucleic acid typeSets both the absorbance conversion factor and the molecular weight used per base or base pair.Double-stranded DNA (50 ng/µL per A260)
Dilution factorEnter 100 if you diluted 1 µL of sample into 99 µL of buffer. Enter 1 if you read it neat.1 ×
Optical pathlength1 cm for a standard cuvette. Microvolume instruments already normalise to 1 cm — leave it at 1 unless yours reports raw absorbance.1 cm
Sample volumeThe volume of the undiluted stock you are quantifying, used for total yield and total picomoles.50 µL
Template lengthBase pairs for dsDNA, bases for ssDNA, RNA and oligos. Needed only for the molar figures; enter 0 if unknown.1000 bases / bp

It returns

  • Concentration — Equal to µg/mL. This is the concentration of the undiluted stock.
  • Total yield
  • Molar concentration
  • Total amount
  • A260 normalised to 1 cm — The reading a 1 cm cuvette would have given for the diluted sample. Keep it between 0.1 and 1.0.

The formula

c=A260lDf
C=1000cMW

In plain text: c (ng/µL) = (A260 ÷ pathlength) × dilution factor × conversion factor

  • cConcentration of the undiluted stock (ng/µL)
  • A260Blanked absorbance of the diluted sample at 260 nm (AU)
  • lOptical pathlength through the sample (cm)
  • DDilution factor applied before reading (×)
  • fConversion factor: 50 dsDNA, 33 ssDNA and oligos, 40 RNA (ng/µL per AU)

The conversion factors are the reciprocal of the mass extinction coefficient at 260 nm for a 1 cm path, tabulated for nucleic acids of average base composition.

Updated Category Molecular Biology, DNA & PCR Verified against published test cases Reading time 11 min

Why absorbance at 260 nm measures nucleic acid

The purine and pyrimidine rings in DNA and RNA absorb ultraviolet light with a maximum near 260 nm. Protein, by contrast, peaks near 280 nm because of tryptophan and tyrosine. That separation is the whole basis of nucleic acid quantitation by spectrophotometry: read at 260 nm and you are looking almost entirely at bases, and the amount of light absorbed is proportional to how many of them are in the beam.

The proportionality is the Beer–Lambert law, A = εcl: absorbance equals the extinction coefficient times concentration times pathlength. Rather than make you look up ε, the field long ago collapsed it into a single practical number per nucleic acid type. One absorbance unit at 260 nm through a 1 cm path corresponds to 50 µg/mL of double-stranded DNA, 33 µg/mL of single-stranded DNA, or 40 µg/mL of RNA — the conversion factors tabulated in Molecular Cloning and printed on the side of every spectrophotometer manual. Because 1 µg/mL is identical to 1 ng/µL, those same numbers are the ng/µL you want at the bench.

The three factors differ because of the hypochromic effect. Stacked bases in a duplex interact electronically and absorb less per base than the same bases would free in solution. Denature dsDNA and its A260 rises by roughly 30–40%; that is the same physics that makes a melting curve work, and the reason the calculator asks whether your sample is double- or single-stranded before it converts anything.

What this method cannot do is tell nucleic acid apart from anything else that absorbs at 260 nm. Free nucleotides, degraded RNA fragments, and phenol carry-over all read as signal. If you need to know that the mass you measured is intact, undegraded template, pair this with a purity check using the A260/A280 and A260/A230 ratio calculator and, for RNA, a fragment analyser trace.

The formula, term by term

Three multiplications and one division stand between the instrument reading and a usable concentration.

Divide by pathlength. Absorbance scales linearly with how far the beam travels through the sample. A 1 cm cuvette is the reference geometry the conversion factors assume. Microvolume pedestal instruments hold a 1 mm or 0.2 mm column of liquid and would therefore read ten or fifty times lower — so almost all of them rescale internally and display the 1 cm equivalent. Leave the pathlength at 1 unless your instrument explicitly reports raw absorbance for a short path.

Multiply by the dilution factor. The reading describes the cuvette, not the tube on ice. If you put 2 µL of sample into 98 µL of TE, the dilution factor is 50, and the stock is 50 times more concentrated than the reading implies. Work the dilution out with the solution dilution calculator if you built it in more than one step.

Multiply by the conversion factor. 50, 33 or 40 as above. Getting this wrong is a silent error of up to 50% — nothing about the reading itself will look suspicious.

Then convert mass to moles if you need to. A molar concentration requires a molecular weight, and a molecular weight requires a length. The standard approximations are 660 g/mol per base pair of dsDNA and about 330 g/mol per base of DNA (340 for RNA, whose ribose carries an extra oxygen). Multiply by the length in bases or base pairs and you have the MW of the whole molecule. Because 1 ng/µL is 1 mg/L, the molarity in µM works out as 1000 × (ng/µL) ÷ MW.

Worked example: a plasmid miniprep

You elute a 4,500 bp plasmid in 50 µL, dilute 2 µL into 98 µL of elution buffer, and read the dilution in a 1 cm cuvette against a buffer blank. The instrument shows A260 = 0.312.

  1. Pathlength. 1 cm, so the reading needs no rescaling: 0.312 ÷ 1 = 0.312 AU.
  2. Dilution factor. 2 µL into a final 100 µL is a 50-fold dilution. The undiluted stock would read 0.312 × 50 = 15.6 AU — well outside any instrument's range, which is exactly why you diluted it.
  3. Conversion factor. Plasmid DNA is double-stranded, so 50 ng/µL per AU.
  4. Concentration. 0.312 × 50 × 50 = 780 ng/µL.
  5. Total yield. 780 ng/µL × 50 µL = 39,000 ng = 39 µg.
  6. Molecular weight. 4,500 bp × 660 g/mol = 2,970,000 g/mol.
  7. Molar concentration. 1000 × 780 ÷ 2,970,000 = 0.263 µM, or 263 nM.
  8. Total picomoles. 0.263 µM × 50 µL = 13.1 pmol, since one µM in one µL is one pmol.

Sanity-check the yield independently: 39 µg from a 5 mL culture is a normal high-copy miniprep. And check the reading sat in range — 0.312 AU is comfortably inside the 0.1 to 1.0 window where the detector is linear, so the number is trustworthy. Had you read the neat eluate instead, the instrument would have been asked for 15.6 AU and would have returned something much lower and entirely fictional.

How to judge the number you get

Start with the absorbance, not the concentration. The single most useful check is whether the 1 cm equivalent reading fell between about 0.1 and 1.0 AU. Below 0.1 the signal competes with blank drift and with any contaminant that absorbs at 260 nm, so a small absolute error becomes a large relative one. Above 1.0 most detectors have run out of linear range and quietly under-report. The calculator flags both cases.

Then ask whether the yield is plausible for the prep. A high-copy plasmid miniprep from 1–5 mL of culture typically lands in the tens of micrograms; a genomic DNA prep from a few million cultured cells lands in the same range; a total RNA prep from 106 mammalian cells commonly yields around 10 µg. These are rules of thumb from routine practice, not specifications — use them to notice when a number is off by an order of magnitude, not to grade a prep.

Finally, remember what the number is not. A260 measures every 260-absorbing species in the cuvette. For a genomic DNA prep contaminated with RNA, the reading counts both, and the DNA concentration you write on the tube is too high. This is the single biggest reason that quantitative applications — library preparation for sequencing, digital PCR, transfection of defined mass — use a fluorescent intercalating dye assay instead, which responds only to double-stranded DNA. Use the spectrophotometer for a fast yield check and for purity ratios; use the dye assay when the number has to be right.

Conversion factors and molecular weights

One A260 unit through a 1 cm path, and the per-residue molecular weights used for molar conversions.
Nucleic acidng/µL per A260 unitMW per residue (g/mol)ng/µL at A260 = 0.25Typical A260/A280 when pure
Double-stranded DNA50660 per bp12.50≈ 1.8
Single-stranded DNA33330 per base8.25≈ 1.8
RNA40340 per base10.00≈ 2.0
Short oligonucleotide33330 per base8.25≈ 1.8

The per-residue molecular weights are averages over the four bases; a sequence with skewed base composition departs from them by a few percent. The A260/A280 figures are the conventional purity targets, not a measure of quantity.

Blank with the same buffer you eluted into

The blank defines zero. Elution buffers, TE, and especially anything containing EDTA, guanidinium salts or residual phenol absorb in the ultraviolet, and a water blank against a guanidinium-carrying sample can add tenths of an absorbance unit that the calculator will faithfully convert into nucleic acid that does not exist. Blank with the identical buffer, at the identical pH, and re-blank whenever you change buffer. On microvolume instruments, wipe and re-read the blank two or three times: a drifting blank is the commonest cause of a concentration that will not reproduce.

Where A260 quantitation goes wrong

  • Using 50 for RNA or for an oligo. The factor is 40 for RNA and 33 for single strands; using 50 overstates them by 25% and 52% respectively.
  • Forgetting the dilution factor. A 50-fold dilution ignored is a result fifty times too low, and nothing about the reading looks wrong.
  • Reading outside the linear range. Above roughly 1.0 AU the detector saturates; below 0.1 AU the blank dominates.
  • Counting RNA as DNA. An RNase-free genomic prep reads its co-purified RNA at 260 nm too. If the ratio matters, digest with RNase A and re-read.
  • Trusting A260 on a sample with visible turbidity. Scattering raises absorbance across the whole spectrum. Check A320: it should be near zero, and whatever it reads should be subtracted from A260 before conversion.
  • Assuming 330 g/mol per base for a short oligo. Base composition matters most when the molecule is short. For anything under about 30 bases where exact molarity matters, use the sequence-specific extinction coefficient from the synthesis report.
  • Quoting molarity without a length. Mass concentration is length-independent; molarity is not. A 100 ng/µL solution of a 200 bp amplicon is 20 times more concentrated in molecules than 100 ng/µL of a 4,000 bp plasmid.

Where this fits among the other quantitation methods

Spectrophotometry is fast, non-destructive of anything but 1–2 µL, needs no standard curve, and reports purity ratios in the same read. That combination is why it survives despite being the least specific of the common methods.

Fluorometric dye assays (PicoGreen, Qubit and equivalents) bind selectively to double-stranded DNA and are two to three orders of magnitude more sensitive. They require a standard curve and consume sample, but they ignore free nucleotides, RNA and protein — so when a spectrophotometer and a dye assay disagree, the dye assay is usually the one to believe for dsDNA.

Agarose gel densitometry against a mass ladder is cruder but tells you something neither instrument does: whether the mass is where you think it is, in one band or smeared across the lane.

qPCR quantifies only amplifiable template, which is the relevant quantity when the DNA is degraded or when only a small fraction of a mixed sample is your target. Convert between mass and molecules with the DNA copy number calculator, and set up the reactions themselves with the PCR master mix calculator.

In routine practice you use them together: the spectrophotometer for a yield and purity check straight off the column, and a dye assay or qPCR immediately before any step where the input mass is written into a protocol.

Frequently asked questions

Why is 1 A260 unit equal to 50 ng/µL for DNA?

Because that is the measured mass extinction coefficient of double-stranded DNA of average base composition at 260 nm, expressed as its reciprocal. A solution containing 50 µg/mL of dsDNA absorbs one absorbance unit through a 1 cm path. The value is an average over the four bases; a very GC-rich or AT-rich sequence departs from it by a few percent, which is far smaller than the other errors in a typical prep.

Do I need to change the pathlength for a NanoDrop or similar microvolume reader?

Usually not. Those instruments hold a 1 mm or 0.2 mm liquid column but rescale the result internally and display the 1 cm equivalent, which is what the conversion factors assume. Only change the pathlength here if your instrument is explicitly reporting raw absorbance at its physical path. If you are unsure, read a sample of known concentration: if the answer comes out ten times low, the instrument was giving you raw 1 mm absorbance.

My A260/A280 ratio is 1.6. Is my concentration wrong?

Probably too high. A ratio well below 1.8 for DNA signals protein or phenol carry-over, and both absorb at 260 nm as well as 280 nm, so some of the mass you just measured is not nucleic acid. Re-purify — a second column, an ethanol precipitation, or a bead clean-up — and re-read. A ratio above 2.0 for a DNA sample generally means RNA contamination, which also inflates the number.

How do I get ng/µL into µM?

Divide by the molecular weight and scale: µM = 1000 × (ng/µL) ÷ MW in g/mol, where MW is the length in base pairs times 660 for duplex DNA, or the length in bases times about 330 for single strands and 340 for RNA. A 20-base oligo has an MW near 6,600, so 33 ng/µL of it is 1000 × 33 ÷ 6,600 = 5.0 µM. Enter the length above and the calculator does this for you.

What yield should I expect from a miniprep or an RNA prep?

As a rough guide from routine practice, a high-copy plasmid miniprep from a few millilitres of overnight culture gives tens of micrograms, and a total RNA prep from about a million cultured mammalian cells gives roughly ten micrograms. Low-copy plasmids, primary cells and tissues all give less. Treat these as a check for order-of-magnitude errors rather than as a target — kit chemistry, culture density and elution volume all move them.

Can I quantify a sample that is a mixture of DNA and RNA?

Not by absorbance alone. Both absorb at 260 nm with different conversion factors, and one reading cannot separate two unknowns. If you need the DNA figure, treat with RNase A and re-read; if you need the RNA figure, treat with DNase. Alternatively use a fluorescent dye assay specific to the species you want, which will ignore the other entirely.

Why does my concentration change every time I re-read the same sample?

Most often a drifting or contaminated blank, or an air bubble or fibre in the light path. On a microvolume instrument, also check that the sample is mixed and homogeneous — genomic DNA is viscous and does not distribute evenly through a small drop. Read the blank three times before the sample and confirm those three agree to within a few thousandths of an absorbance unit; if they do not, clean the optical surfaces and start again.

Should I subtract the reading at 320 nm?

Yes, when it is not essentially zero. Nucleic acids do not absorb at 320 nm, so anything there is scattering from particulates or a baseline offset, and it is present at 260 nm too. Subtract A320 from A260 before converting. A large A320 is a signal to spin the sample down or re-purify rather than to apply a correction and move on.

References

  • Molecular Cloning: A Laboratory Manual, 4th ed. — Appendix: Quantitation of nucleic acids — Green MR & Sambrook J, Cold Spring Harbor Laboratory Press (2012)
  • Current Protocols in Molecular Biology — Spectrophotometric Analysis of Nucleic Acids — Wiley
  • Nucleic Acids: Structures, Properties and Functions (hypochromicity and UV absorbance of nucleic acids) — Bloomfield VA, Crothers DM & Tinoco I, University Science Books (2000)