## Saturday, June 08, 2013

### Color detection

Einstein got his Nobel for explaining the photoelectric effect (not for relativity). The photoelectric effect was a little bit of a puzzle. Put a cesium electrode in a vaccuum, and shine light on it. You get a small current flow to a nearby electrode. If you make the light more intense, proportionately more current flows. If you put a slightly negative relative voltage on the nearby electrode, you get a little less current, but it still flows until you reach a critical voltage. So far so good: electrons are getting knocked off with some maximum energy.

If you change the frequency of the light but keep the intensity the same, the current stays the same too--until the frequency drops too low, and then you don't get any current anymore. And if you check that voltage difference that stops the current, that rises and falls linearly with frequency. V ∝ (f-f_crit).

Einstein explained it: light comes in units, in which the energy is proportional to the frequency, and electrons are bound to atoms with well-defined energies. If the light particle has less energy than that binding energy, the electron stays put. If more, it kicks the electron loose, and gives it a little extra energy, up to as much as the whole leftover energy (usually less, though).

So if you don't know the photon energy you can figure it out from how much energy electrons get kicked out with. (provided the photon energy isn't too low)

It is kind of hard to see this effect in air, because the electrons collide with air molecules and lose energy. It would be even harder to see it in a solid, unless the solid layers were ultra-thin: say 50 nanometers or so. The more energetic electrons (from higher-frequency light: e.g. blue) travel farther through the thin layers than those from lower-frequency light (e.g. red). In the same way as with the traditional experiment, you can add a negative voltage to the deeper layers: the more energetic electrons will still get through but the lower energy (from red light) won't. Varying the voltage lets you determine what the energy was.

So you can have solid-state frequency detection in a tiny (they estimate 100 nanometer square pixels are possible) device. If you use several readout layers you could get "instantaneous" estimates, which would be good for multi-frequency fiber devices.

The CPU of the machine you read this on uses layers that can be as thin as 0.5nm, so this looks doable. This falls in the category of "I should have thought of that," but I wasn't paying attention to how thin micro devices were getting.

Assistant Village Idiot said...

It never once occurred to me that "I should have thought of that."

james said...

Understanding high energy particle motion in matter has been my bread and butter, and this is an obvious application--in retrospect :-(

I guess genius is seeing the obvious first.

It won't be a crisp measurement, but it should be good enough.

Texan99 said...

That's just what I was going to say: in the whole rest of my life, I wasn't going to think of that. Good thing someone else is in charge of noodling over that kind of thing!