You are doing x-ray diffraction on a crystal that has a cubic structure, using (0.1-mathrm{nm} x)-rays. If

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You are doing x-ray diffraction on a crystal that has a cubic structure, using \(0.1-\mathrm{nm} x\)-rays. If the two greatest Bragg angles at which you observe peaks in the intensity of the diffracted rays are \(76^{\circ}\) and \(63.6^{\circ}\), what is the lattice spacing of the crystal?

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