Scientific Calculator Hub

Specialized calculators for nanotechnology research, materials science, and characterization. Built for researchers, by researchers.

17 calculators across 6 categories — all free, no login required

All calculators feature live results, shareable URLs, and uncertainty propagation. Perfect for lab work, publications, and teaching. Suggest a new calculator.

XRD & Crystallography

Scherrer Equation

Calculate crystallite size from XRD peak broadening. Includes X-ray source presets and uncertainty propagation.

XRD Crystallite Size FWHM

Bragg's Law

Calculate d-spacing from diffraction angles or solve for θ. Essential for phase identification and lattice parameters.

XRD d-spacing Diffraction

Williamson-Hall Plot

Separate crystallite size and lattice strain effects from XRD peak broadening. Calculate microstrain and size using multiple diffraction peaks.

Strain XRD Analysis Plot

Nanoparticle Properties

Gold Nanoparticle Size

Estimate AuNP size and concentration from UV-Vis spectra using the Haiss method. Supports SPR peak analysis.

UV-Vis SPR Mie Theory

Surface-to-Volume Ratio

Calculate S/V ratio for spheres, rods, cubes, and other nanoparticle geometries. Critical for reactivity estimates.

Geometry Reactivity Morphology

Zeta Potential Stability

Classify colloidal stability from zeta potential measurements. Get qualitative stability ratings and guidance.

Colloids Stability DLS

Nanoparticle Concentration & Molarity

Convert between mass concentration (mg/mL), molarity (nM), and number density (particles/mL) for specific material densities and particle sizes.

Molarity Number Density Concentration

Quantum & Electronic Properties

CNT Chirality Predictor

Calculate diameter, chiral angle, and electronic type (metallic/semiconducting) from (n,m) indices.

Carbon Nanotubes Chirality Semiconductors

Quantum Dot Bangap Calculator

Calculate size-dependent bandgap using the Brus equation. Supports CdSe, CdS, PbS, and other common QD materials.

Quantum Dots Bandgap Semiconductors

Thin Films & Fabrication

Spin Coating Thickness

Estimate thin film thickness from spin speed, solution viscosity, and concentration. Includes common resist presets.

Thin Films Photoresist Deposition

PVD Deposition Rate & Thickness

Calculate coating thickness based on material density, tooling factor, and crystal frequency change (Sauerbrey equation).

QCM Sputtering Evaporation

Ellipsometry / Interference Thickness

Estimate transparent film thickness (e.g., SiO₂, polymers) using interaction color charts or spectral interference fringe spacing.

Oxide Layer Optics Thin Films

Characterization & Spectroscopy

Beer-Lambert Law

General-purpose calculator to solve for Concentration, Absorbance, or Path Length. Useful for non-plasmonic materials (graphene, organic dyes, QDs).

Absorbance Concentration Optics

BET Surface Area

Calculate specific surface area from BET monolayer capacity or gas adsorption isotherm data. Supports N₂, Ar, Kr, CO₂, and custom adsorbates.

BET Surface Area Adsorption

TEM/SEM Scale Bar & Magnification

Verify pixel-to-nanometer ratios, calculate field-of-view from magnification, and validate scale bar accuracy in micrographs.

Microscopy Imaging Scale Bars

General Lab Preparation

RPM ↔ RCF (G-Force) Converter

Convert centrifuge rotor speed (RPM) to Relative Centrifugal Force (g) based on rotor radius. Essential for reproducing synthesis protocols.

Centrifuge Separation Protocols

Solution Dilution (M1V1 = M2V2)

Calculate the volume of stock solution needed to achieve a specific target concentration and volume. Includes molarity and mass % options.

Stock Solution Chemistry Molarity