Online XRD Calculator

Calculate XRD parameters including d-spacing and Bragg angle for various crystal systems

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About This Tool

This comprehensive XRD calculator helps researchers, students, and materials scientists calculate essential X-ray diffraction parameters. Input lattice parameters (a, b, c, α, β, γ), Miller indices (h, k, l), and X-ray wavelength to calculate d-spacing using the appropriate formula for your crystal system (cubic, tetragonal, hexagonal, orthorhombic). The tool then applies Bragg's Law to determine the Bragg angle (2θ). All calculations are performed client-side with immediate results and detailed explanations.

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How to Use

Select your crystal system from the dropdown menu
Enter the lattice parameters (a, b, c) in angstroms (Å)
Enter the Miller indices (h, k, l) as integers
Enter the X-ray wavelength in angstroms (Å) - common values provided
Click 'Calculate XRD Parameters' to see results
View d-spacing, Bragg angle (2θ), and crystal structure information

Frequently Asked Questions

Find Quick Answers

What crystal systems does this XRD calculator support?

The calculator currently supports cubic, tetragonal, hexagonal, and orthorhombic crystal systems. Each system uses the appropriate mathematical formula for accurate d-spacing calculation.

What is the default X-ray wavelength?

The default is Cu Kα radiation (1.5406 Å), which is commonly used in laboratory XRD. You can change this to any wavelength value, with common options provided in the dropdown.

Can I calculate d-spacing for any Miller indices?

Yes, you can enter any integer values for h, k, l Miller indices. The calculator will compute d-spacing using the formula appropriate for your selected crystal system.

How accurate are the calculations?

Calculations use precise mathematical formulas for each crystal system. Results are accurate to 6 decimal places for d-spacing and 4 decimal places for 2θ angle (in degrees).

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