Table of contents 1 Why is particle size important?


NUMBER VS. VOLUME DISTRIBUTION



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Particle Guidebook 09-2019

NUMBER VS. VOLUME DISTRIBUTION
The easiest way to understand a number distribution is to consider measuring 
particles using a microscope. The observer assigns a size value to each particle 
inspected. This approach builds a number distribution—each particle has equal 
weighting once the final distribution is calculated. As an example, consider the nine
particles shown in Figure 6. Three particles are 1µm, three are 2µm, and three 
are 3µm in size (diameter). Building a number distribution for these particles will 
generate the result shown in Figure 7, where each particle size accounts for one 
third of the total. If this same result were converted to a volume distribution, the 
result would appear as shown in Figure 8 where 75% of the total volume comes
from the 3µm particles, and less than 3% comes from the 1µm particles.
When presented as a volume distribution it becomes more obvious that the majority 
of the total particle mass or volume comes from the 3µm particles. Nothing changes 
between the left and right graph except for the basis of the distribution calculation.
Particle size result interpretation:
number vs. volume distributions
30
25
20
15
10
5
0
1µm
2µm
3µm
70
60
50
40
30
20
10
0
1µm
2µm
3µm


Another way to visualize the difference between number and volume distributions 
is supplied courtesy of the City of San Diego Environmental Laboratory. In this case 
beans are used as the particle system. Figure 9 shows a population where there are 
13 beans in each of three size classes, equal on a number basis. Figure 10 shows 
these beans placed in volumetric cylinders where it becomes apparent that the larger 
beans represent a much larger total volume than the smaller ones.
Figure 11 shows a population of beans where it may not be intuitively obvious, but 
there is an equal volume of each size, despite the wide range of numbers present. 
It becomes apparent in Figure 12 when the beans are placed in volumetric cylinders 
that each volumes are equal.

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