Showing posts with label MO theory. Show all posts
Showing posts with label MO theory. Show all posts

Wednesday, April 15, 2009

Yesterday my boyfriend was sitting in the chemistry lounge, listening to a podcast of an NPR interview with David Foster Wallace. One of my chemistry professors walks by and starts chatting about how David Foster Wallace taught at Pomona at the same time he taught at Pomona.

Alan (my professor): So apparently he wasn't a very happy guy.
My boyfriend: Well, you know, that's what writing about the postmodern condition will do to you.
Me: Or thinking about molecular orbital theory too much.
Alan: Oh that was sharp. Is this a disgruntled chem 324 student I hear? [i.e. advanced mechanistic organic chemistry]

Yes, Alan. Yes it is. I have such a love hate relationship with MO theory. On the one hand it explains...just about everything more or less and is really fundamentally important for understanding chemistry. I switch between thinking the quantum mechanical explanations behind it are fascinating at a conceptual level and not particularly interesting in its details. Bond models feel like bullshit to me; with all the different iterations of orbital theory, I don't know how someone can graduate with a degree in chemistry thinking that it's any more than an amalgam of useful models that sort of kind of approximate reality and happen to explain shit well.

Usually I'm ok with this fact. If I felt that science was free of "woo woo" (as one of my bio profs liked to call things like lit theory and epistimology) then I would really be a headcase. At the same time I'm sick of hearing soc majors after taking a sociology of science class tell me that science is just socially constructed and no more legitimate than any other dicipline of study because, yeah, bonding models do--at some level--contain some "bullshit" but people have still used them to, like, make an LED out of a fucking semiconductor. And band theory is hella useful for explaining that behavior.

Sunday, April 12, 2009

Electron spin existential crisis

Last night while studying for an inorganic chemistry exam I have tomorrow, I suddenly had a huge existential crisis about not understanding magnetism.

It went something like this: how does MO theory tell us that oxygen should be paramagnetic and carbon should be diamagnetc?

Well, oxygen has unpaired electrons in its HOMO. Carbon has paired electrons in its HOMO. One or more unpaired electron leads to paramagnetism.

Okay, hold up. So why does oxygen want to have its electrons have the same spin when one goes into each degenerate orbital? Why, well, electrons repulse each other since they are negatively charged, thus if they can, they will go into separate degenerate orbitals (following Hund's rule). Due to the Pauli exclusion principle that means that electrons cannot have the same spin and position. If they have the same spin, they necessarily have different positions, which leads to less electrostatic repulsion. This is my qualitative understanding of the issue, and it is also--to my understanding--responsible for the phenomenon of exchange energy in half filled shells.

(Filling out orbital diagrams in this order has become intuitive to me after three years of undergraduate chemistry, but I guess I rarely step back and re-rationalize why it's the case).

So coming back to paramagnetism. This means that if those two electrons have the same spin, there is a permanent magnetic moment in the molecule (right? but what what is a magnetic moment anyway?!?! crap.) which means that it creates its own magnetic field. I recall the Lorentz Force law from physics (is this even exactly related?) although much of what I remember from electricity and magnetism involves a lot of fussing around with the right hand rule and being confused by which direction my thumb went. Anyway, if there is a permanent magnetic moment when put in an external magnetic field, the magnetic field can be parallel and thus be attracted. Whereas when a diamagnetic species is put in a magnetic field, since there are two electrons going in opposite directions, one of the vectors must necessarily oppose the magnetic field.

Okay, this makes sense, although I'm sure I butchered a few of the details. Then there's something something angular momentum vector something something spin momentum vector something something more quantum mechanics something something. But then I ask myself what is spin really? Why does it run parallel to the magnetic field. Why are parallel magnetic fields attracted to one another? Does it just have to do with the orientation of the electrons compared to the nucleus? WTF? Wait, wait, this was all beginning to make sense, and now it's all falling apart again.

So I waste hours of time on Wikipedia physics pages being confused.

It's funny that we use the same language as people who actually have a deeper level of understanding of these phenomena, but don't actually understand it at a deep level at all. It's all about shorthands to understand the parts we need to understand--in this case--for chemical reactivity and understanding MO theory.

The more chemistry I learn, the more of a head-case I become.