4. Below are shown three different crystallographic planes...

4. Below are shown three different crystallographic planes for a unit cell of some hypothetical metal. The circles represent atoms: 0.30 nm 0.40 nm 0.35 nm 0.50 nm 0.46 nm 0.40 nm (001) (110) (101) (a) To what crystal system does the unit cell belong? (b) What would this crystal structure be called? (c) If the density of this metal is 8.95 g/cm^3, determine its atomic weight.

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00:01 Okay, so it says below our children three different crystallography plans for unit cell of some hypertetic metal.

00:10 And the circles represent atoms.

00:14 So look at here, we have to find the similar thing, right? we find for the o -o -1 plane, we look from the top, right? so in this case, we can kind draw something like this, and clearly the o1 plane is dashed with yellow, right? this is o1 plane.

01:10 And from the top, you see there are four atoms, right? so that means each corner there's one atom.

01:21 According to this translation symmetry, right, on the bottom, at the corner, you should have the atoms.

01:29 And we learned that one lens is portals.

01:36 And 3, another is a 0 .4.

01:40 And then you get the 110 plane.

01:45 So where is the 1 .10 plan? the 110 plan actually is dashed with a blue.

02:05 This is a 110 plan.

02:16 And clearly it shows the diagonal line, right? this is 0 .5.

02:38 And that means this part is a point 5.

02:46 In 3 .5.

02:48 And in the middle, that's the atom.

02:50 So actually in the center, there should be an atom.

02:56 And then you had the 101.

02:58 So where is the 101? so in this case, we have to find.

04:09 So the 101 plan is this one.

04:44 So clearly, it's not that surprising where you get almost everything...

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