For each of the two-dimensional structures shown here (a) draw the unit cell (i)

(ii)

Video transcript

Hi everyone for this problem. It reads draw the two D unit cell for each structure below. Okay. So what we're going to want to do here is remember that in general, we're going to choose the unit cell such that it can reflect the symmetry of the original lattice. So we have two structures below. So let's go ahead and start with our first structure. Okay, When choosing a unit cell, we have to remember that the environment of each lattice point must be identical and that unit cells must tile to generate the complete two dimensional lattice. Okay, so we're going to select the unit cell with higher symmetry. When we do that, we can see here that this is our unit cell with high symmetry. Okay. And this symmetry reflects the original lattice. So let's go ahead and draw this underneath. Okay, so we're going to have the following. Okay. And then we have this one in the center. So this is going to be R two D. Structure to the unit cell for the first structure. Let's go ahead and identify our symmetry in the second structure. Okay, so we're going to like we said, remember that the environment of each point must be identical and that it must how to generate the complete two dimensional lattice. So here we go. So when we find that we have a hexagon there. Okay, so we're going to draw this out. Okay, so we're gonna draw our hexagon And that's going to be R2D unit self for the second structure. Okay, so that is it for this problem? I hope this was helpful.