What crystal system does this calculator support?

P1 supports cubic lattice-parameter calculations from indexed hkl peaks. Other crystal systems need additional lattice constants and equations.

Why enter multiple peaks?

Multiple indexed peaks help show consistency. The calculator reports each peak estimate plus the average and RMS residual.

Should I use two-theta or theta?

Enter instrument two-theta peak positions. The calculator divides two-theta by 2 when applying Bragg geometry.

ToolsConductScience tool

XRDFree in-browser calculator

XRD Lattice Parameter Calculator.

Enter indexed cubic XRD peaks to calculate d-spacing, lattice parameter a, average a, and residual spread. For materials research, education, and protocol documentation only. Not a certified inspection, compliance, asset-integrity, or final acceptance tool.

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Validated2026-05-24

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Load example XRD lattice parameter data to see the full workflow

Indexed cubic XRD peaks

Wavelength

Peak rows: h k l two-theta

Methods note

For cubic crystals, d = a / sqrt(h^2 + k^2 + l^2). The calculator derives d from Bragg geometry, then averages a across indexed peaks.

Results

Average a

5.43119 A

RMS residual

0.00016 A

5.431 A

hkl	2theta	d	a	residual
(111)	28.44	3.13582 A	5.43139 A	0.000205 A
(220)	47.3	1.92024 A	5.43125 A	0.00006 A
(311)	56.12	1.63756 A	5.43116 A	-0.000027 A
(400)	69.13	1.35774 A	5.43095 A	-0.000238 A

Review notes

P1 supports cubic lattice-parameter calculations first; confirm indexing before interpreting averages.

Scope and limitations

For materials research, education, and protocol documentation only. Not a certified inspection, compliance, asset-integrity, or final acceptance tool.

Results are deterministic calculations from the values entered here. Review units, assumptions, and measurement quality before using outputs in reports or protocols.

Method

Uses the tool-specific formulas and assumptions shown in the calculator output.

Validated

Last validated 2026-05-24. Calculations are designed for planning and documentation support; verify procurement decisions against manufacturer specifications or institutional SOPs.

How to cite

How to Cite

XRD Lattice Parameter Calculator (1.2.0). ConductScience, Inc. 2026. Available at: https://conductscience.com/tools/xrd-lattice-parameter-calculator

For materials research, education, and protocol documentation only. Not a certified inspection, compliance, asset-integrity, or final acceptance tool.

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