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I need to determine the point group of the following patterns: enter image description here

I think the one on the left is $D_1$ and the one on the right is $D_2$

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To determine which wallpaper group you have, first identify the unit cell and symmetry operations for your images:

Symmetry and unit cell

Then use the Wallpaper group diagram:

Wallpaper group diagram

Both images have a maximum of 2-fold rotations and simple reflections. The left image has no perpendicular reflections, making it pmg. The right image has perpendicular reflections with an off-axis rotocenter, making it cmm.

Both of these latices have $D_2$ point groups at the center of the cell, as well as lower-order point groups at other points.

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    $\begingroup$ I somehow didn't notice that this question is 4 years old. I hope you figured it out before now! $\endgroup$ – Quantum7 Aug 15 '17 at 18:18

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