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## GR0877 Problem 43

PROBLEM STATEMENT: This problem is still being typed.

SOLUTION: (D) If you took a course in solid state physics, even at introductory level, you should remember this. In other words, it’s one of those questions that either you know or you don’t know the answer for.

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1. 18.04.2012 at 08:07

For those of us who specialized in astrophysics and took a year of astro courses instead, I know I can’t be the only one who would appreciate a write up! I kept all my books and I don’t have a solid state text to look at…

2. 19.09.2013 at 08:53

Even for those not in astro, solid state is not necessarily considered typical undergrad material (at least at my university, which has a decent enough reputation). Your solution seems a little cop-out-ish, as you could really say for any GRE question, “if you took this course, you should know this.” Why not just explain the actual reasoning/principles behind it? Maybe give a source for a good website to learn basic solid state?

3. 16.10.2013 at 04:38

Yeah, not the best solution ever. I dug in to it just a little and found “a diamond is a transparent crystal of tetrahedrally bonded carbon atoms in a covalent network lattice (sp^3) that crystalizes into a diamond lattice” which is apparently a variation of the face-centered cubic structure. And sp^3 is the “orbital hybridization” which is when orbitals mix to form new hybrid orbitals — with different energies, shapes, etc., than the actual orbitals being mixed. sp^3 means the hybrid orbital is 25% s and 75% p. Quite frankly, I didn’t know orbitals can do that. Seems like sorcery.

4. 16.10.2013 at 04:39

And by “a little bit” I mean a really little bit. That’s off wikipedia, mostly.

5. 12.10.2015 at 16:44

I think one way you can look at it is by noting that Carbon has 4 bonding points. If these bond points are oriented to maximize the distance between them, you get a tetrahedron, right?

6. 10.10.2016 at 04:34

Look up hpc spacing of diamond structure. I don’t think it’s much of a cop-out because the likelihood that you’ll get this question again is low and it won’t help if you answer a question about a different structure. It’s just something that you either know or you don’t.