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Unformatted text preview: α = (2 π )/6 and thus α /2 = π /6. As seen in the ﬁgure above, the location that was found from Buerger’s construction, location 4, is the location of a 6fold symmetry axis, and this location is already a lattice point. A 6fold axis of rotation inherently has 3 and 2fold symmetry. Using Buerger’s construction we can ﬁnd the location of the 3fold symmetry axis. This is displayed below. For 3fold symmetry α = (2 π )/3 and thus α /2 = π /3. 4 As mentioned above, 6fold symmetry has 2fold symmetry as well. The location of the 2fold axis was found using Buerger’s construction; see the ﬁgure below. For 2fold symmetry α = (2 π )/2 and thus α /2 = π /2. Using the information obtained throughout this process, one can display all the symmetry operations on a primitive unit cell for a lattice that has perpendicular 6fold axis symmetry and translational symmetry. 5...
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 Fall '08
 Staff
 6fold symmetry, Buerger, 6fold axis symmetry

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