Serial Dilution Factor Calculator

Design dilution series with clear volumes and ratios. Check final concentration and overall factor instantly. Export a clean report, then repeat your protocol safely.

Calculator inputs

Use scientific notation if needed (e.g., 2.5e7).
Used for display in the results table.
Typical ranges: 3–12 steps.
Pick how each step’s dilution factor is defined.
Used to compute transfer and diluent volumes for each step.
Example: 2 keeps volumes practical for pipetting.
:
Example 1:10 means DF = 10, so concentration ÷ 10 each step.
DF = final volume ÷ transfer volume (per step).
Accepted: 10, 0.1 (interpreted as 1/0.1), 1:10, or 1/10. Steps auto-match the list length.

Example data

Scenario Inputs Expected outcome (summary)
Typical 10-fold series C0 = 1.0e8 CFU/mL, Steps = 6, Ratio = 1:10, Final volume = 1000 µL Overall DF = 1,000,000, Final concentration = 1.0e2 CFU/mL, Transfer per step ≈ 100 µL
Mixed series C0 = 5.0e6 ng/µL, Custom list = 10, 10, 100, Final volume = 500 µL Overall DF = 10,000, Final concentration = 5.0e2 ng/µL, Step volumes adapt by factor

Use the example values to validate your workflow, then swap in your lab’s actual volumes and ratios.

Formula used

  • Step dilution factor: DF = Vfinal / Vtransfer = (Vtransfer + Vdiluent) / Vtransfer
  • Overall dilution factor: DFtotal = Π DFi (multiply all step factors)
  • Concentration after n steps: Cn = C0 / DFtotal
  • Volumes per tube (when final volume is set): Vtransfer = Vfinal / DF, Vdiluent = Vfinal − Vtransfer

How to use this calculator

  1. Enter your starting concentration and select the display unit.
  2. Choose the number of dilution steps you plan to prepare.
  3. Select a dilution method:
    • Fixed ratio: enter sample:total (e.g., 1:10).
    • Fixed volumes: enter transfer volume and final volume per tube.
    • Custom list: enter factors like 10,10,100 or ratios like 1:10.
  4. Set final volume per tube to calculate practical pipetting volumes.
  5. Press Submit. Results appear above the form, under the header.
  6. Use Download CSV or Download PDF to save and share your dilution plan.

Why serial dilution is widely used in biology

Serial dilution converts a dense sample into measurable ranges. A 10-fold series turns 1.0×108 cells/mL into 1.0×102 cells/mL after six steps. That span helps plating, qPCR standards, enzyme assays, and microscopy counts. The calculator keeps each step explicit, so you can reproduce the same series across days and operators. Many labs run duplicates to estimate variance and keep mixing consistent: five inversions or 10 seconds vortexing per tube reduces gradients and carryover between steps.

Dilution factor, fraction, and overall factor

For one step, the dilution factor is DF = Vfinal/Vtransfer. A “1:10” step means one part sample in ten parts total, so DF = 10 and the dilution fraction is 0.1. The overall factor multiplies across steps: DFtotal = ΠDFi. Concentration after n steps is Cn = C0/DFtotal.

Volume planning to improve accuracy

Pipettes are least reliable near their minimum range. If your step requires 10 µL transfers, random error can rise sharply and drift compounds over steps. Using 100 µL into 900 µL (final 1000 µL) keeps transfers comfortable and yields DF = 10. The tool also reports diluent volume, supporting consistent tube preparation and mixing.

Picking step size for plate-count targets

Plate counts are commonly interpreted in the 30–300 colony range. Suppose you expect 1.0×108 CFU/mL and plate 0.1 mL. A 10−6 total dilution predicts about 10 colonies, while 10−5 predicts about 100 colonies. Testing adjacent dilutions is practical insurance when growth varies or clumping occurs.

Documentation, exports, and QA traceability

Recorded dilution tables reduce transcription mistakes. CSV export fits lab notebooks, LIMS uploads, and spreadsheet checks. PDF export creates a clean attachment for protocols, training, or audits. Include method, volumes, and step count so another user can rebuild the same dilution tree without guessing the intended ratios.

Operational checks before you run the bench

Confirm units match your assay (mL versus µL). Verify that final volume exceeds transfer volume for real dilution. Scan the plot: concentrations should decrease monotonically and by the expected step ratio. If one step looks off, recheck the entered factor, mixing practice, and tube labeling before consuming reagents.

FAQs

What is the difference between dilution factor and dilution ratio?

A ratio describes parts mixed (sample:total). The dilution factor is the numeric reduction, usually total ÷ sample. For 1:10, DF = 10 and concentration becomes one tenth each step.

If I enter 0.01 as a step, what does it mean?

When you enter a value below 1 in the custom list, the calculator treats it as a dilution fraction. So 0.01 is interpreted as 1/0.01, giving a step factor of 100.

Why does the calculator require final volume greater than transfer volume?

A dilution needs added diluent. If transfer volume equals or exceeds final volume, there is no true dilution and the computed factor becomes 1 or less, which breaks serial planning.

How many steps should I choose for a plate count series?

Estimate expected density and plated volume, then choose steps that land near 30–300 colonies. In practice, 5–8 steps of 10-fold dilution often brackets the countable range.

Can I mix different step factors in one series?

Yes. Use the custom list and enter step factors or ratios for each tube. The overall factor is the product of all step factors, and the table shows each cumulative value.

How should I handle units like µL versus mL?

Keep volumes in the same unit within a run. The unit selector labels the table. If you switch from µL to mL, convert values before entering so transfer and diluent volumes stay consistent.

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Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.