Surface Area of Nanoparticles
The surface area of nanoparticles can be calculated using the following formula:
`SA = 4πr²`
where:
* SA is the surface area in square meters (m²)
* r is the radius of the nanoparticle in meters (m)
Example:
Calculate the surface area of a nanoparticle with a radius of 5 nm.
SA = 4π(5 nm)²
SA = 4π(5 × 10⁻⁹ m)²
SA = 4π(25 × 10⁻¹⁸ m²)
SA = 3.14 × 25 × 10⁻¹⁸ m²
SA = 78.54 × 10⁻¹⁸ m²
Therefore, the surface area of the nanoparticle is 78.54 × 10⁻¹⁸ m².
This formula assumes that the nanoparticle is spherical in shape. If the nanoparticle is not spherical, the surface area will be different. However, this formula provides a good approximation of the surface area for most nanoparticles.