DNA Copy Number Calculator

DNA Copy Number Calculator

Convert DNA mass (ng) and sequence length (bp) into copy number using standard molecular weight and Avogadro’s constant.

Last updated: March 2026

Copies = (ng × 6.022×10²³) / (bp × 660 × 10⁹)
Convert DNA mass (ng) and length (bp) into number of molecules
Uses 660 Da per base pair and Avogadro’s number (6.022×10²³)

Molecular Copy Calculator

What is DNA Copy Number?

DNA copy number refers to the absolute number of individual DNA molecules present in a sample. This is fundamentally different from concentration (mass per volume) - copy number tells you exactly how many physical molecules you have, which is critical for many molecular biology applications.

Knowing the copy number is essential for PCR template preparation, transfection experiments, DNA sequencing library preparation, and quantitative genetics. For example, optimal PCR requires 10⁴-10⁷ template copies, while next-generation sequencing libraries need precise copy numbers for proper cluster formation.

The calculation combines three fundamental concepts: Avogadro's number (6.022 × 10²³ molecules/mole), molecular weight based on DNA length, and unit conversion from nanograms to moles. Each base pair of double-stranded DNA has an average molecular weight of 660 Daltons (g/mol).

How to Calculate DNA Copy Number

The Formula

Copy Number = (mass in grams × Avogadro's number) / molecular weight
Breaking it down:
1. Calculate molecular weight: MW = bp × 660 Da
2. Convert ng to grams: g = ng × 10⁻⁹
3. Calculate moles: moles = g / MW
4. Calculate copies: copies = moles × 6.022 × 10²³

Key Constants

660 Da: Average MW per base pair (dsDNA)
6.022 × 10²³: Avogadro's number (molecules/mole)
1 ng: 10⁻⁹ grams
Note: For ssDNA, use ~330 Da per base; for RNA, use ~340 Da per base

Worked Example

Calculate copy number for a 5 kb plasmid at 100 ng:

Given:
• DNA amount: 100 ng
• Sequence length: 5000 bp
• DNA type: dsDNA (660 Da/bp)
Step 1:
Calculate molecular weight:
MW = 5000 bp × 660 Da/bp
MW = 3,300,000 Da (or g/mol)
MW = 3.30 × 10⁶ g/mol
Step 2:
Convert ng to grams:
g = 100 ng × 10⁻⁹
g = 1.00 × 10⁻⁷ g
Step 3:
Calculate moles:
moles = 1.00 × 10⁻⁷ g / 3.30 × 10⁶ g/mol
moles = 3.03 × 10⁻¹⁴ mol
Step 4:
Calculate copy number:
copies = 3.03 × 10⁻¹⁴ mol × 6.022 × 10²³ molecules/mol
copies = 1.82 × 10¹⁰ molecules
Result:
1.82 × 10¹⁰
That's approximately 18.2 billion DNA molecules!

Frequently Asked Questions

Why is copy number important?

Copy number determines success in PCR (need 10⁴-10⁷ templates), transfection efficiency, library preparation for NGS, and quantitative experiments like qPCR standard curves. Too few copies lead to failed reactions; knowing the exact number ensures reproducibility.

Why 660 Da per base pair?

Each nucleotide has an average MW of ~330 Da (varies slightly: A=313, T=304, G=329, C=289). Double-stranded DNA has two strands, so 330 × 2 = 660 Da per bp. This is an average that works well for most DNA sequences.

How many copies for PCR?

Optimal PCR typically requires 10⁴ to 10⁷ template copies. Below 10⁴ copies, amplification becomes unreliable. Above 10⁷, you may waste template and reagents. For a 5 kb plasmid, 100 ng contains ~1.8 × 10¹⁰ copies - far more than needed!

How do you calculate DNA copy number from ng?

Divide the DNA mass by molecular weight (bp × 660), convert to moles, then multiply by Avogadro’s number. A simplified formula is: copies = (ng × 6.022×10²³) / (bp × 660 × 10⁹).

What about circular vs linear DNA?

This calculation treats all DNA the same way based on length. Circular plasmids and linear fragments of the same length have identical molecular weights and thus the same copy number per ng. The topology doesn't affect mass or copy number calculations.

Can I use this for RNA?

Yes, but RNA has different average MW: ~340 Da per base for single-stranded RNA (ssRNA). Double-stranded RNA would be ~680 Da/bp. The calculator uses 660 Da/bp optimized for dsDNA, so results for RNA will be approximate.

Why such large numbers?

DNA is extremely lightweight. Even tiny masses (nanograms) contain billions of molecules. This is why PCR is so powerful - starting with just a few thousand molecules, you can amplify to billions in hours. Avogadro's number (6.022 × 10²³) means even picomoles contain trillions of molecules.

How accurate is this calculation?

Very accurate for practical purposes. The main source of error is the 660 Da/bp average, which can vary ±5% depending on GC content. High GC sequences are slightly heavier (G and C are heavier than A and T). For most applications, this variation is negligible.

What if I know molarity instead?

If you know molarity (M = moles/liter), you can calculate copy number directly: copies/µL = Molarity × 6.022 × 10²³ × 10⁻⁶. For example, 1 nM solution = 6.022 × 10¹¹ copies/µL. This bypasses the mass-to-moles conversion.

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