Calculator of Alexandria

Hemocytometer cell count calculator

Calculate cells per mL from your hemocytometer count and dilution factor, or work out the count to expect at a given density.

Solve for

Count the four corner squares and divide by 4.

Mixed 1:1 with trypan blue? That is a dilution factor of 2.

Formula

C=Nˉ⋅D⋅104C = \bar{N} \cdot D \cdot 10^4
How it's derived

The formula

C=Nˉ⋅D⋅104 cells/mLC = \bar{N} \cdot D \cdot 10^4\ \text{cells/mL}

Nˉ\bar{N} is the average number of cells in one large square, DD the dilution factor and CC the concentration of your original suspension.

Where it comes from

A hemocytometer is a counting chamber with a grid of known area under a coverslip held at a known height, so every square holds a known volume.

On a standard Neubauer chamber each large square is 1 mm × 1 mm and the chamber is 0.1 mm deep:

Vsquare=1 mm×1 mm×0.1 mm=0.1 mm3V_{\text{square}} = 1\ \text{mm} \times 1\ \text{mm} \times 0.1\ \text{mm} = 0.1\ \text{mm}^3

One millilitre is one cubic centimetre, which is 1,000 mm³, so

Vsquare=0.1 mm3=10−4 mLV_{\text{square}} = 0.1\ \text{mm}^3 = 10^{-4}\ \text{mL}

Concentration is count divided by volume, so cells in the chamber per mL are

Nˉ10−4 mL=Nˉ⋅104\frac{\bar{N}}{10^{-4}\ \text{mL}} = \bar{N} \cdot 10^4

That is the concentration of what you loaded. If you diluted the cells first, for example 1:1 with trypan blue, the original was DD times more concentrated, giving C=Nˉ⋅D⋅104C = \bar{N} \cdot D \cdot 10^4.

Worked example

You count 42, 47, 44 and 47 cells in the four corner squares after mixing 1:1 with trypan blue:

Nˉ=1804=45,C=45×2×104=9.0×105 cells/mL\bar{N} = \frac{180}{4} = 45, \qquad C = 45 \times 2 \times 10^4 = 9.0 \times 10^5\ \text{cells/mL}

Watch out for

  • Count enough cells. Counting error scales with 1/N1/\sqrt{N}, so aim for at least 100 cells in total. That is about 10% error, and 400 cells is about 5%.
  • Use one edge rule. Count cells touching the top and left lines but not the bottom and right, or you double count.
  • Other chambers differ. This uses the Neubauer large square. Check your chamber’s square size and depth.

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