101. Particle Size Distribution D50
101. Particle Size Distribution D50
Particle Size Distribution D50 is also known as the median diameter or the medium value of the particle size distribution, it is the value of the particle diameter at 50% in the cumulative distribution. It is one of an important parameter characterizing particle size. For example, if D50=5.8 um, then 50% of the particles in the sample are larger than 5.8 um, and 50% smaller than 5.8 um. D50 is uaually used to represent the paritcle size of group of particles.
Particle size distribution is the number of particles that fall into each of the various size ranges given as a percentage of the total number of all sizes in the sample of interest.
Usually we use following three methods to characterize particle size distribution such as Table: percentage of particles from the total within a size range;it includes differential distribution and cumulative distribution. Figure: particle distribution by histogram and curves, etc. Function: particle distribution functionally including R-R distribution and normal distribution
D50 is also named x50 according to some ISO standards.
When we speak of D50 we mean cumulative particle size distribution D50. In the cumulative particle size distribution graph(curve), the ordinate represents the cumulative particle size distribution 0% to 100%, the abscissa represents the particle size, now find the cumulative distribution 50% on the ordinate, its corresponding particle size value in ordinate is D50.
D50 is also divided into Dv50, Dw50 and Dn50, Dv50 means volume D50, whereas Dw50 is mass D50 and Dn50 is number D50.
Dv50 is also known as volume median or volume average particle size, it physically represents that each volume of particles greater or smaller than such value takes account of 50% of the total particles volume. Dn50 is known as number median, it physically represents that each number of particles greater or smaller than such value takes account of 50% of the total particles number.
When we speak size, we mean size of a single particle; when we say particle size distribution, we mean size distribution of particle system.
Particle system is made up of many particles. In case all the particles making up particle system have same or almost same particle size we call such particle system Monodisperse however in case the particle system is made up of particles different in size, we call it Polydisperse. Size of particle system or particle diameter distribution means the regularity of the sizes of all the particles.
Actually particle size distribution in particle system is not continuous strictly speaking, however when we are speaking a large amount of measured particles, we can say it is continuous. The size distribution of polydisperse particle system made up of particles in different sizes is divided into Unimodel and Multimodel.
There are many methods representing the particles system particle size distribution. There are two methods physically that is number distribution and volume distribution.
The relationship of particle size number distribution N(D) and particle size volume distribution V(D) is