Nanomaterial Concentration Calculator

Particle count, molarity, and surface area from mass concentration.

Inputs

Concentration (mg/mL)

Particle Diameter (nm)

Particle Density (g/cm³)

Solution Volume (mL)

Tab to move between fields

Results

Total Particles

791,700,000,000

Particles/mL

791,700,000,000

Molar Conc. (M)0

Single Particle Mass (g)0

Total Surface Area (m²)0.01

Total Mass (g)0

Optical Density1cm19.72

How to Use This Calculator

Enter the mass concentration (mg/mL) of your nanoparticle suspension.
Set particle diameter (nm) and particle density (g/cm³) from the material datasheet.
Enter total solution volume (mL) for the calculation.
Review number concentration (particles/mL), molar concentration (M), single-particle mass (g), and total surface area (m²).
Use total surface area to estimate reactivity, coating requirements, or dosimetry for toxicology studies.

How the result changes with Particle Diameter (nm)

Particle Diameter (nm)	Total Particles	Particles/mL
1,000	98,960,000	98,960,000
3,500	2,308,000	2,308,000
6,500	360,300	360,300
9,000	135,700	135,700

What each input means

Concentration (mg/mL): Mass concentration of nanomaterial.
Particle Diameter (nm): Average particle diameter.
Particle Density (g/cm³): Gold=19.3, silver=10.5, silica=2.2, polystyrene=1.05.
Solution Volume (mL): Total volume of nanoparticle solution.

What each result means

Total Particles: Total number of particles in solution.
Particles/mL: Particle number concentration.
Molar Conc. (M): Nanoparticle molarity (particles as molecules).
Single Particle Mass (g): Mass of one nanoparticle.
Total Surface Area (m²): Combined surface area of all particles.
Total Mass (g): Total nanomaterial mass in solution.

How this is calculated

Worked example, using the default values

Identify Input Parameters
4 parameters
Concentration (mg/mL) = 1, Particle Diameter (nm) = 50, Particle Density (g/cm³) = 19.3, Solution Volume (mL) = 1 = 4 input(s) provided
Calculate Total Particles
Total Particles = parseFloat(numParticles.toPrecision(4))
791700000000 = 791700000000
Calculate Particles/mL
Particles/mL = parseFloat(numConcPerMl.toPrecision(4))
791700000000 = 791700000000
Calculate Molar Conc.
Molar Conc. = parseFloat(molarConc.toPrecision(4))
1.315e-9 = 1.315e-9
Calculate Single Particle Mass
Single Particle Mass = parseFloat(particleMassG.toPrecision(4))
1.263e-15 = 1.263e-15

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