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Calculators/Physics/Bragg's Law
Physics

Bragg's Law calculator

Diffraction angle for X-rays reflecting off crystal lattice planes at a given spacing.

What this calculator does

Bragg's Law works out diffraction angle for X-rays reflecting off crystal lattice planes at a given spacing. Enter your own figures above and the answer updates as you type: nothing is fixed in the code, so the result reflects exactly the numbers you supply.

The formula this calculator evaluates is printed under the tool and explained below, so you can check the working by hand or reuse it in a spreadsheet.

The formula

Formulanλ = 2d·sinθ

The inputs explained

FieldWhat to enter
Diffraction order (n)A number. Starts at 1.
X-ray wavelength (pm)A number, measured in pm. Starts at 154.
Interplanar spacing (pm)A number, measured in pm. Starts at 314.

Worked examples

Every figure in the tables below is produced by this page’s own calculator at build time, so the numbers and the tool always agree. Select any row to load that scenario.

How the answer changes with diffraction order (n)

Every other input is held at the calculator’s starting values while diffraction order (n) varies. Select any row to load that scenario into the calculator.

How the answer changes with diffraction order (n)
Diffraction order (n)Bragg angle (θ)Full scattering angle (2θ)sin(θ)
0.57.043°14.086°0.1226
0.7510.598°21.196°0.1839
114.195°28.390°0.2452
1.521.582°43.164°0.3678
229.370°58.740°0.4904
347.364°94.728°0.7357