Consider the reduced-sphere unit cell shown in Problem 3.20, having an origin of the coordinate system positioned

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Consider the reduced-sphere unit cell shown in Problem 3.20, having an origin of the coordinate system positioned at the atom labeled with an O. For the following sets of planes, determine which are equivalent:

(a) (001), (010), and, (100)

(b) (110), (101), (011), and (110)

(c) (111), (111), (111), and (111)

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