Math and Arithmetic

Surface-area-to-volume ratio in nanoparticles?

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Answered 2012-08-20 21:13:33

Surface area to volume ratio in nanoparticles have a significant effect on the nanoparticles properties. Firstly, nanoparticles have a relative larger surface area when compared to the same volume of the material. For example, let us consider a sphere of radius r:

The surface area of the sphere will be 4πr2

The volume of the sphere = 4/3(πr3)

Therefore the surface area to the volume ratio will be 4πr2/{4/3(πr3)} = 3/r

It means that the surface area to volume ration increases with the decrease in radius of the sphere and vice versa.

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