Surface-to-Volume Ratio Calculator

S/V ratio for spheres, cubes, and cylinders at nanoscale.

Shape (1-3)

Size (nm)

Height (nm, cylinder only)

Tab to move between fields

S/V Ratio (nm⁻¹)

0.3

S/V Enhancement vs 1mm

50,000

Surface Area (nm²)1,256.64

Volume (nm³)4,188.79

Surface Atoms (%)6

Specific Surface Area (m²/g)15.54

How to Use This Calculator

Select the nanoparticle shape: sphere, cube, or cylinder.
Enter the primary size dimension (nm) — diameter for sphere/cylinder, edge length for cube.
For cylinders, also enter the height (nm).
Review surface-to-volume ratio (nm⁻¹), surface area (nm²), volume (nm³), and S/V enhancement vs. 1 mm bulk.
Surface atoms (%) output indicates the fraction of atoms at the surface — critical for catalytic and optical properties.

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