Question
Explain with diagram, how many identical points are created by a 3 roto-inversion operation. Among 3-fold rotation and 3 roto-inversion operation, which one has higher order? Why?
Answer :
Word Count : 273
A 3 roto-inversion operation, denoted as $\bar{3}$, combines a 3-fold rotation with an inversion through a point. In this operation, a point in the crystal is first rotated by 120° (one-third of 360°) about an axis and then inverted through the center of symmetry. If we take a point $P$ in space, applying a 3 roto-inversion generates three equivalent points around the rotation axis, each separated by 120°, _______ __________ ___ ________ ____ ___ __________ ___ _________ ____ ______.
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A 3 roto-inversion operation, denoted as $\bar{3}$, combines a 3-fold rotation with an inversion through a point. In this operation, a point in the crystal is first rotated by 120° (one-third of 360°) about an axis and then inverted through the center of symmetry. If we take a point $P$ in space, applying a 3 roto-inversion generates three equivalent points around the rotation axis, each separated by 120°, _______ __________ ___ ________ ____ ___ __________ ___ _________ ____ ______.
_______ ___ _______ ________ _____ __________ ______ __________ _________.
_________ _____ __________ ____ _____ ________ _________ ________ __________.
_________ _____ ________ _____ ________ __________.
_______ ________ _______ ________ _________ ______ _________ ________ __________ ____ ______.
__________ _______ _______ _______ __________ __________ ________.
________ ________ __________ __________ _______.
___ ________ __________ ______ ______ _______ _____ _______ ___ ____ ___ ____.
__________ _____ _____ ____ ________ ___ ___.
___ ______ ___ ________ ________ ____ ______.
_______ _______ __________ _________ ________.
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