Bragg Path Three-Spacing Scan - Biophysical Instrumentation VIII: X-Ray Crystallography and Reciprocal Evidence Step by Step

Three exact reflections show the same angle rule across different plane spacings. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Row 1: spacing sets the Bragg path

Keep the ray triangle fixed at sine 3/5. A spacing of 5 m gives a checked extra path of 6 m.

2d\sin\theta=2\cdot5\ \text{m}\cdot\frac{3}{5}=6\ \text{m}

Row 2: spacing sets the Bragg path

Keep the ray triangle fixed at sine 3/5. A spacing of 10 m gives a checked extra path of 12 m.

2d\sin\theta=2\cdot10\ \text{m}\cdot\frac{3}{5}=12\ \text{m}

Row 3: spacing sets the Bragg path

Keep the ray triangle fixed at sine 3/5. A spacing of 15 m gives a checked extra path of 18 m.

2d\sin\theta=2\cdot15\ \text{m}\cdot\frac{3}{5}=18\ \text{m}