BioDeviceHub

Serial Dilution Calculator

Plan a serial dilution: the volume to carry from tube to tube, the diluent in each tube, and the concentration at every step.

Formula

Vtransfer=VtubefV_{\text{transfer}} = \dfrac{V_{\text{tube}}}{f}
Vdiluent=Vtube−VtransferV_{\text{diluent}} = V_{\text{tube}} - V_{\text{transfer}}
Cn=C0f nC_n = \dfrac{C_0}{f^{\,n}}
ff
fold dilution at each step (10 for a ten-fold series)
C0C_0
starting concentration
CnC_n
concentration in tube n

How it works

A serial dilution repeats the same dilution several times, each tube serving as the stock for the next. Because the factors multiply, six ten-fold steps reach a one-in-a-million dilution using only small, easily pipetted volumes.

Each tube is prepared with diluent first. A fixed volume is carried in from the previous tube and mixed, and the same volume is then carried on to the next.

Worked example

Dilute a culture at 10⁸ cells/mL through six ten-fold steps, 1 mL per tube.

  1. Transfer = 1 mL / 10 = 100 µL, into 900 µL of diluent.
  2. Tube 1 is 10⁷, tube 2 is 10⁶, and so on down to 100 cells/mL in tube 6.

Carry 100 µL into 900 µL at every step. Tube 6 is a 1 : 1,000,000 dilution.

These are the values the calculator opens with, so you can check its output against this example.

Assumptions

  • Every tube is mixed thoroughly before the next transfer.
  • The same factor is used at every step.
  • Nothing is carried over on the outside of the pipette tip.

Common mistakes

  • Reusing one pipette tip down the series. Carry-over on the tip makes later tubes more concentrated than calculated; change tips at each step.
  • Transferring before mixing, which carries an unrepresentative sample forward.
  • Forgetting that errors compound. A 5% pipetting error at each of six steps is far more than 5% at the end.