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.

How the result changes with Size (nm)

S/V Ratio (nm⁻¹): Surface-to-volume ratio. Higher = more reactive.
Surface Area (nm²): Total surface area of one particle.
Volume (nm³): Volume of one particle.
S/V Enhancement vs 1mm: How many times greater S/V is compared to a 1mm particle.
Surface Atoms (%): Estimated percentage of atoms on the surface.
Specific Surface Area (m²/g): Surface area per gram (assuming gold density).

Identify Input Parameters
Shape (1-3) = 1, Size (nm) = 20, Height (nm, cylinder only) = 20 = 3 input(s) provided
Calculate S/V Ratio
0.3 = 0.3
Calculate S/V Enhancement vs 1mm
S/V Enhancement vs 1mm = svRatio / bulkSV
50000 = 50000
Calculate Surface Area
1256.64 = 1256.64
Calculate Volume
Volume = volume
4188.79 = 4188.79