*2.2. Determination of Particle Size Distribution*

The particle size distributions of the emulsions were measured with two different techniques, using a laser diffraction particle size analyzer and microscopy-assisted digital image analysis. For this purpose, D(10), D(50), D(90), span, D[3,2], and D[4,3] values were determined with both methods. D(10), D(50), and D(90) are the equivalent volume diameters at 10%, 50%, and 90% cumulative volume, respectively, while D[3,2] and D[4,3] values represent the area- and volume-weighted mean diameters, respectively. The span value is a measure of distribution width:

$$\text{D}[3,2] = \frac{\sum n\_i d\_i^3}{\sum n\_i d\_i^2} \tag{1}$$

$$\text{D}[4,3] = \frac{\sum n\_i d\_i^4}{\sum n\_i d\_i^3} \tag{2}$$

$$\text{Span} = \frac{\text{D}(90) - \text{D}(10)}{\text{D}(50)} \tag{3}$$

where *ni* is the number of particles of diameter *di*.
