Particle Size Distribution

Analyze and Optimize Particle Size for Processes and Products

What Is Particle Size Distribution?

Particle size distribution (PSD) is a statistical representation of a particle system, providing a breakdown of particle counts or proportions across a range of sizes. The PSD can be expressed as a series of discrete values, a histogram for visual analysis, or a mathematical function. Particle size distribution information is critical for the analysis, control, and optimization of a variety of processes, such as crystallization (and recrystallization), tablet dissolution and disintegrationemulsificationmillingflocculation, and flow assurance.

To fully define "particle size distribution", we need to define "particle size". Spherical particle size is easily characterized by one number, the diameter (or the radius). Other types of particles have a wide variety of shapes, structures and phases, thus different three-dimensional elongations. A one-dimensional size function, such as spherical equivalent diameter, chord length, particle length or particle width, is frequently used in practice. Spherical equivalent diameter is defined as the equivalent diameter of a sphere having the same physical property. The volume based spherical equivalent diameter is obtained by calculating the diameter of a sphere with the same volume as that of the particle being studied.

However, while it is convenient to assign a single number to characterize a non-spherical particle system, it often does not reflect the full reality of the particles. The surface area of a needle 5 µm diameter X 50 µm length is 70% greater than that of a sphere with identical volume-based equivalent diameter (12.3 µm). This needle will handle and flow differently from the sphere during filtration or in a flow system. Therefore, it is critical to choose the right particle size parameter and analysis tool that fits the process being studied, and advantageous to be able to obtain PSD data three-dimensionally (e.g. via microscopy) and in situ (by using in-process tools), which provides well-rounded understanding of the particles system in the native environment.


particle size distribution
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