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Hemocytometer Cell Count

Cells per mL from a counting-chamber average.

Formula

C=nˉ×DF×104C = \bar{n} \times DF \times 10^4

Variables

\bar{n}Mean cells per square
DFDilution factor

How it works

A hemocytometer lets you estimate how many cells are in a liquid by counting the cells in a known tiny volume and scaling that count up to 1 mL. The average number of cells per square is multiplied by the dilution factor because the sample is often diluted before counting, then multiplied by 10^4 because each large counting square corresponds to 10^-4 mL in the standard chamber depth. This turns a small-area count into a concentration in cells per milliliter.

When to use it

Use this when counting cells manually under a microscope with a hemocytometer, such as yeast, cultured mammalian cells, algae, or blood cells after appropriate preparation. It is especially useful when an automated cell counter is unavailable or when you need a direct, low-cost estimate of cell concentration.

Worked example, step by step

Suppose you count cells in 5 large squares and get 42, 38, 40, 44, and 36 cells. Step 1: Find the mean count per square: \bar{n} = (42 + 38 + 40 + 44 + 36) / 5 = 200 / 5 = 40. Step 2: Note the dilution factor: DF = 2 (the sample was diluted 1:2 before loading). Step 3: Apply the formula: C = \bar{n} × DF × 10^4 = 40 × 2 × 10^4. Step 4: Calculate: C = 80 × 10^4 = 8.0 × 10^5 cells/mL. Final answer: The original sample concentration is 800,000 cells per mL.

Common mistakes to avoid

  • Using the total cells counted instead of the mean cells per square
  • Forgetting to include the dilution factor when the sample was diluted before counting
  • Applying the 10^4 factor without using the standard hemocytometer chamber depth and large-square area

Did You Know?

A haemocytometer grid lets technicians count cells under a microscope, a method over a century old.

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Reviewed & maintained by the FormulaWon editorial teamLast reviewed September 2026