In an X-ray diffraction experiment using X-rays of λ = 0.500 × 10−¹⁰ m, a first-order maximum occurred at 5.00°. Find the crystal plane spacing. A) 2.87 × 10−¹⁰ m B) 1.36 × 10−¹⁰ m C) 6.24 × 10−⁹ m D) 1.93 × 10−⁹ m E) 5.74 × 10−⁹ m

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Using Bragg's law, nλ = 2d sin θ, for the first-order maximum (n=1), we solve for d: d = λ / (2 sin θ) = (0.500 × 10^-10 m) / (2 sin 5.00°) = 2.87 × 10^-10 m.

In an X-Ray Diffraction Experiment Using X-Rays of λ =