Serial Dilution Calculator

Calculate multi-step serial dilution protocols with concentrations, volumes, and visual pipelines. Supports CFU, cells, µg/mL, and molar units.

Common Serial Dilution Protocols

Total Dilution Factor
1:1.00e+6
After 6 steps of 1:10 each.
Final Concentration
1.000000 CFU/mL
Concentration in the last tube of the series.
Diluent per Tube
900.0 µL
To achieve 1:10 dilution with 100 µL transfer.
Total Volume per Tube
1,000.0 µL
Transfer volume + diluent volume.
Tubes Needed
6
Number of dilution tubes to prepare (plus the stock).
Log₁₀ Reduction
6.00
Logarithmic reduction factor.

Serial Dilution Pipeline

Stock
1,000,000.00
1:1
Tube 1
100,000.00
1:10
Tube 2
10,000.00
1:100
Tube 3
1,000.00
1:1,000
Tube 4
100.00
1:10,000
Tube 5
10.00
1:100,000
Tube 6
1.00
1:1,000,000

Step-by-Step Protocol

TubeCumulative DFConcentrationTransfer (µL)Diluent (µL)
Stock1:11,000,000.0000 CFU/mL
11:10100,000.0000 CFU/mL100900.0
21:10010,000.0000 CFU/mL100900.0
31:1,0001,000.0000 CFU/mL100900.0
41:10,000100.0000 CFU/mL100900.0
51:100,00010.0000 CFU/mL100900.0
61:1,000,0001.0000 CFU/mL100900.0

Concentration (Log Scale)

Stock
1,000,000.0
Tube 1
100,000.0
Tube 2
10,000.0
Tube 3
1,000.0
Tube 4
100.0
Tube 5
10.0
Tube 6
1.0
Planning notes, formulas, and examples

About the Serial Dilution Calculator

Serial dilution is a stepwise dilution technique where each tube is diluted by the same factor from the previous one, producing a geometric series of concentrations. This method is indispensable in microbiology for colony counting, in immunology for antibody titer determination, in pharmacology for dose-response curves, and in analytical chemistry for calibration standards spanning several orders of magnitude.

The power of serial dilution lies in its ability to cover an enormous concentration range with consistent precision at each step. A six-step 1:10 serial dilution reduces the initial concentration by a factor of one million (10⁶), yet each individual step involves the same simple 1:10 pipetting operation. This is far more accurate than trying to achieve a 1:1,000,000 dilution in a single step, which would require pipetting nanoliter quantities.

This calculator generates a complete serial dilution protocol: it computes the diluent volume for each tube, tracks the cumulative dilution factor and concentration at each step, and displays a visual pipeline diagram and logarithmic concentration chart. Whether you're setting up a standard curve, counting bacteria, or titrating an antibody, this calculator provides the exact protocol to follow.

When This Page Helps

Setting up a serial dilution protocol requires calculating diluent volumes, tracking cumulative dilution factors, and ensuring you cover the needed concentration range. This calculator does it all and generates a lab-ready protocol.

How to Use the Inputs

  1. Enter the dilution factor per step (e.g., 10 for 1:10 tenfold dilutions).
  2. Enter the number of dilution steps.
  3. Enter the initial sample concentration and its unit.
  4. Enter the transfer volume (amount pipetted from each tube to the next).
  5. Review the step-by-step protocol table with exact volumes.
  6. Follow the visual pipeline diagram in the lab.
  7. Use the log-scale chart to verify concentrations span the needed range.
Formula used
Cumulative DF = (DF per step)^n. Final Concentration = C₀ / Cumulative DF. Diluent Volume = Transfer Volume × (DF − 1). Total Volume per Tube = Transfer Volume × DF.

Example Calculation

Result: Final: 1 CFU/mL, Total DF = 1:1,000,000

Each tube: 100 µL transfer + 900 µL diluent = 1000 µL at 1:10. After 6 steps: 10⁶ fold dilution. Concentration drops from 10⁶ to 10⁵, 10⁴, 10³, 10², 10, and finally 1 CFU/mL.

Tips & Best Practices

  • Pre-label all tubes with the dilution factor before starting.
  • Use calibrated pipettes and check calibration regularly.
  • Change tips between every transfer — this is the most common source of error.
  • For plate counting, plate in duplicate or triplicate for statistical reliability.
  • If using a multichannel pipette for 96-well plates, ensure all channels deliver equal volumes.

Serial Dilution in Microbiology

The serial dilution plate count method is the gold standard for enumerating viable bacteria. A sample is serially diluted (typically 1:10 steps), aliquots are plated on agar, and after incubation, colonies are counted. The original concentration = colonies × dilution factor × (1 / volume plated). For example, 150 colonies on a 10⁻⁵ plate with 0.1 mL plated = 150 × 10⁵ × 10 = 1.5 × 10⁸ CFU/mL.

Twofold Dilutions for MIC Testing

Minimum inhibitory concentration (MIC) testing uses twofold serial dilutions of an antibiotic to find the lowest concentration that prevents bacterial growth. Starting from a high concentration (e.g., 128 µg/mL), the series goes 64, 32, 16, 8, 4, 2, 1, 0.5, 0.25 µg/mL. The MIC is the lowest concentration with no visible growth.

Logarithmic Spacing and Standard Curves

Serial dilutions produce logarithmically spaced standards, which is ideal for calibration curves of assays with logarithmic response (e.g., ELISA, qPCR). Plotting signal vs. log(concentration) often yields a sigmoidal curve that can be fit to a 4-parameter logistic model for quantitation across the dynamic range.

Sources & Methodology

Last updated:

Frequently Asked Questions

  • Serial dilution is more accurate because each step involves pipetting measurable volumes. A single 1:1,000,000 dilution would require pipetting 0.001 µL, which is impractical and highly inaccurate.