A reciprocal-lattice vector has a dimension equal to the reciprocal of length, for example, cm¯!. Is it meaningful to compare the magnitudes of a direct-lattice vector R with a reciprocal-lattice vector G? Is it meaningful to compare their directions? If the latter answer is yes, find the angle between R and G in terms of their components in a cubic crystal. What is the angle between R = [111] and G= [110]?

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6. A reciprocal-lattice vector has a dimension equal to the reciprocal of length,
for example, cm-'. Is it meaningful to compare the magnitudes of a direct-lattice
vector R with a reciprocal-lattice vector G? Is it meaningful to compare their
directions? If the latter answer is yes, find the angle between R and G in terms of
their components in a cubic crystal. What is the angle between R = [111] and
G = [110]?
7. Does a real lattice vector have a corresponding unique reciprocal vector?
Transcribed Image Text:6. A reciprocal-lattice vector has a dimension equal to the reciprocal of length, for example, cm-'. Is it meaningful to compare the magnitudes of a direct-lattice vector R with a reciprocal-lattice vector G? Is it meaningful to compare their directions? If the latter answer is yes, find the angle between R and G in terms of their components in a cubic crystal. What is the angle between R = [111] and G = [110]? 7. Does a real lattice vector have a corresponding unique reciprocal vector?
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