1,852,966,387.69
copies
9.27
3,250,000
Da
3.0769
fmol
0.005397
ng
0
ng
1,852,966,387.69
copies
9.27
3,250,000
Da
3.0769
fmol
0.005397
ng
0
ng
The DNA Copy Number Calculator determines the number of DNA molecules in a sample of known mass and length. This calculation is fundamental to quantitative PCR (qPCR) standard curve preparation, digital PCR (dPCR), transformation efficiency measurement, viral load quantification, and gene therapy vector titration. Knowing the exact copy number is essential when absolute quantification is required.
The calculator uses Avogadro's number to convert between mass and molecular count. It supports both double-stranded and single-stranded DNA, with different molecular weight factors for each. A reverse calculation feature lets you determine how much DNA mass is needed to achieve a target copy number, streamlining the preparation of serial dilution standards for qPCR.
DNA copy number is calculated from mass using the relationship between mass, molecular weight, and Avogadro's number:
$$\text{Copy Number} = \frac{m \times N_A}{MW}$$
where $$m$$ is the mass of DNA in grams, $$N_A = 6.022 \times 10^{23}$$ mol⁻¹ is Avogadro's number, and $$MW$$ is the molecular weight in Da (g/mol). The molecular weight is estimated from the length:
$$MW_{dsDNA} = N_{bp} \times 649 \text{ Da/bp}$$
$$MW_{ssDNA} = N_{nt} \times 330 \text{ Da/nt}$$
For the reverse calculation (mass needed for a target copy number):
$$m(ng) = \frac{\text{Target Copies} \times MW}{N_A} \times 10^9$$
Copy numbers in biological contexts span enormous ranges. A single bacterial cell contains one chromosome (~1 copy of each gene). Plasmid copy numbers range from 1-2 (low-copy, e.g., pSC101) to 500+ (high-copy, e.g., pUC19). Viral loads are measured in copies/mL of blood or tissue. In qPCR standard curves, serial 10-fold dilutions typically cover 10¹ to 10⁸ copies.
For qPCR standards, prepare at least 6 dilution points spanning the expected dynamic range. Each dilution should contain at least 10 copies for statistical reliability. Note that at very low copy numbers (fewer than 10), stochastic sampling effects become significant, and digital PCR provides more accurate quantification than standard qPCR.
Inputs
Results
10 ng of a 5 kb plasmid contains ~1.86 × 10⁹ copies. To prepare a 10⁶ copies/µL standard, you need only 0.0054 ng/µL — serial dilution from a higher concentration is much more practical.
Inputs
Results
100 ng of human genomic DNA (3.2 Gb) contains only ~29 genome copies. To get 10,000 copies would require ~34.5 µg of gDNA. This illustrates why amplification targets rather than whole genomes are used for qPCR standards.
First, calculate the copy number per µL of your stock plasmid solution. Then perform serial 10-fold dilutions to create a standard curve spanning 10¹ to 10⁸ copies per reaction. Use carrier DNA (e.g., yeast tRNA or salmon sperm DNA at 10 ng/µL) in dilution buffer to prevent DNA loss through adsorption to tube walls at low concentrations.
Plasmid DNA is more stable, can be accurately quantified, and is less prone to contamination of experimental samples. PCR amplicons degrade faster and can easily contaminate reactions (amplicon carryover). However, amplicons are acceptable if handled carefully with strict contamination controls and separate pre/post-PCR areas.
One genome equivalent varies by organism: human = 6.6 pg per diploid cell, E. coli = 4.6 fg per cell, yeast = 12.1 fg per haploid cell, Drosophila = 0.18 pg. These values correspond to approximately 3.0 × 10⁹ copies per µg for a single-copy gene in the human genome, but only ~2 copies per 6.6 pg.
If the mass measurement includes contaminants (RNA, protein, salts), the true DNA mass is less than measured, leading to overestimated copy numbers. Use Qubit (fluorometric, DNA-specific) rather than NanoDrop (A₂₆₀, non-specific) for the most accurate mass input. An A₂₆₀/A₂₈₀ ratio of 1.8-2.0 indicates acceptable purity.
Theoretically, qPCR can detect a single copy, but reliability requires at least 3-10 copies per reaction due to Poisson sampling statistics. At 1-3 copies, stochastic effects cause high variability between replicates. Digital PCR provides more reliable quantification at very low copy numbers by partitioning the sample into thousands of individual reactions.
Copies per µL = Copies per reaction / Volume of template added (µL). If your qPCR uses 2 µL template and detects 5000 copies, the sample contains 2500 copies/µL. For clinical viral loads, this is then multiplied by extraction dilution factors and reported as copies/mL of the original sample.
No. Supercoiling is a conformational property that affects gel migration and some biological activities but does not change the mass or molecular weight of the DNA. The copy number calculation depends only on mass and MW. However, supercoiled DNA may have slightly different fluorometric quantification compared to relaxed or linear forms.
1 femtomole (fmol) = 10⁻¹⁵ mol = 6.022 × 10⁸ molecules (approximately 602 million molecules). This unit is commonly used in next-generation sequencing library preparation. A typical sequencing library load of 20 fmol contains about 1.2 × 10¹⁰ molecules.
The formula is the same, but use 340 Da/nt for ssRNA molecular weight. In practice, RNA copy numbers are measured by first converting to cDNA via reverse transcription, then quantifying by RT-qPCR. For absolute RNA quantification, in vitro transcribed RNA standards with known copy numbers are recommended.
Log₁₀ copy number is used because biological samples span many orders of magnitude (10¹ to 10¹² copies). qPCR standard curves plot Ct (cycle threshold) vs. log₁₀(copies), producing a linear relationship. A perfect standard curve has a slope of -3.32 (corresponding to 100% PCR efficiency) and R² greater than 0.99.
Roboculator Team
The Roboculator Team explains calculations, planning tools, and practical formulas in clear language for real-life situations.
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