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Calculations, quick reference 1 of 10

Dilutions and dilution factors

Parts, volumes, serial steps, and the reported result

Adding diluent lowers concentration. The dilution factor (DF) is the final volume divided by the specimen volume. A DF of 5 gives one fifth of the original concentration.1

Example: 1:5 dilution

Here, 1:5 means one specimen part in five final parts. Mix one specimen part with four diluent parts. A written 1 + 5 means one specimen part plus five diluent parts, which gives a DF of 6.1

Specimen
100 µL

Diluent
100 µL

Diluent
100 µL

Diluent
100 µL

Diluent
100 µL

500 µL final volume = 100 µL specimen + 400 µL diluent.
Equal-volume schematic. µL = microliter.

Calculating the dilution factor

Formula

DF = final volume ÷ specimen volume

In the 1:5 example

Final volume = 500 µL
Specimen volume = 100 µL
DF = 500 ÷ 100 = 5

Volumes and factor

  • Specimen volume
    Final volume ÷ DF
  • Diluent volume
    Final − specimen volume

Prepare a 1:10 dilution with a final volume of 1.0 mL.
Specimen = 1.0 ÷ 10 = 0.10 mL.
Diluent = 1.0 − 0.10 = 0.90 mL.
mL = milliliter. 1 mL = 1,000 µL.

Concentration and result

  • Diluted concentration
    Original concentration ÷ DF
  • Original concentration
    Diluted concentration × DF

A 1:5 aliquot measures 84 U/L.
84 × 5 = 420 U/L in the original specimen. U/L = units per liter.

Apply the factor only once. Report an analyzer-corrected result of 420 U/L as 420 U/L. Use the method's diluent and validated measuring range.2

Cumulative dilution factor

Original specimen

1:5 step
Total DF = 5

1:4 step from that mixture
Total DF = 5 × 4 = 20

Each step dilutes the well-mixed solution from the preceding tube, so the cumulative dilution factor is the product of the step factors. A result of 12 mg/dL in the second tube gives 12 × 20 = 240 mg/dL in the original specimen. mg/dL = milligrams per deciliter.1