Two patterns of packing two different circles of the same size are shown here. For each structure (c) determine the type of two-dimensional lattice (from Figure 12.4). (i)

(ii)

Video transcript

Hey everyone, we're asked to consider the two packing patterns below. And to identify the type of two dimensional lattice. First, looking at our first packing pattern, we can go ahead and label these lines, we can label this as A. And we can label this as B. And looking at these two lines, we can see that A equals B in length. And now to determine the degree between our two lines, it looks like our angle is about 120°. Now, thinking back to the properties of each two D lattice type, these properties are consistent with a hexagonal lattice. Now, looking at our 2nd 1 we can go ahead and label A as our vertical line and B as a horizontal line. Now comparing our two lines, it looks like A. Does not equal B in length. And when we look at the degree between our two lines, it looks like our degree is a bit arbitrary. And thinking about the properties that we've learned of each two D lattice type. This is consistent with an oblique lattice, and this is going to be our final answers. Now, I hope that made sense. And let us know if you have any questions