Find points in the unit cell of silicon that are symmetry points with respect to spatial inversion. Spatial inversion around the origin of the coordinate system transform a vector (x, y, z) into (-x, -y, -z). Does the GaAs crystal have points of inversion symmetry? Explain

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Find points in the unit cell of silicon that are symmetry points with respect to spatial inversion. Spatial inversion around the origin of the coordinate system transform a vector (x, y, z) into (-x, -y, -z). Does the GaAs crystal have points of inversion symmetry? Explain.

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