- Particle Number helps assess size distribution, stability, and quality in pharmaceutical formulations.
- Particle Number refers to the total count of discrete particles present in a given dispersion or sample.
- You can estimate the numbers of particles in a sample if the total mass, average particles diameter, and density are known.
Formula
$N = \frac{6M}{\pi D^{3} \rho}$
- Where:
- N = number of particles
- M = total mass of sample
- D = average particle diameter
- ρ = true density of the material
Example Calculation
- If 1 gram of a powder has:
- Mean particle diameter = 10 µm = 10 × 10⁻⁴ cm
- Density = 1.5 g/cm³
- Then,
Advertisements
$N = \frac{6 \times 1}{\pi \times \left(10 \times 10^{-4}\right)^{3} \times 1.5} \;\approx\; 1.27 \times 10^{9} \;\text{particles}$
