Microscopy & measurement · SL/HL

Field-of-view density

Estimate number per area of a circular field of view.

Your values

Number formats & units

Use decimal dots in datasets. Single values also accept decimal commas and scientific notation such as 1.2e-3 or 1.2 × 10⁻³.

Field of View Density Calculator inputs

Calculated locally. No account or input upload.

Result & working

Example

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Formula & example

The relationship

A=π(d2)2A=\pi\left(\frac d2\right)^2
density=countA\text{density}=\frac{\text{count}}A
What the variables mean
SymbolMeaning
ddField-of-view diameter.
countObjects fully counted under a stated counting rule.

Worked example

Number counted
36
Field-of-view diameter
0.50
Diameter unit
mm
Density output
per mm²

183.3465 mm⁻²

Follow the example steps
  1. Diameter = 500 µm
  2. Area = π(d/2)² = π(500/2)² = 196349.5 µm²
  3. density = count/area = 36/196349.5 = 0.0001833465 µm⁻²
  4. Convert: 0.0001833465 µm⁻² × 10⁶ = 183.3465 mm⁻²

Common mistakes

Use the radius, not the diameter, in circular area.

Incorrect approach

d = 2 mm, N = 20: A = π × 2² mm²

Correct approach

r = 1 mm: N/A = 20/π ≈ 6.366 mm⁻²

More checks before you submit
  • A single field may be unrepresentative.
  • Use a consistent edge-counting rule to avoid double counting.
Method notes

Repeat across multiple independent fields and calculate a mean if estimating tissue density.