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The energy of a lattice vibration is quantized. The quantum energy is called a phonon in analogy with the photon of the electromagnetic wave. Elastic waves in crystals are made up of phonons. Thermal vibrations in crystals are thermally excited phonons, like the thermally excited photons of black-body electromagnetic radiation in a cavity. The energy of an elastic mode of angular frequency ω is ε=(n+1/2)ℏω when the mode is occupied by n phonons.
Solid state physics is a lot more interesting than I'd thought! (Then they go on to talk about plasmons, magnons, polarons, and excitons...) Even planck's constant shows up!
no subject
Date: 2003-12-04 08:54 pm (UTC)which physics class is this?
no subject
Date: 2003-12-04 09:06 pm (UTC)no subject
Date: 2003-12-04 09:07 pm (UTC)no subject
Date: 2003-12-04 09:18 pm (UTC)no subject
Date: 2003-12-05 07:35 pm (UTC)emma is curious because emma is a physics groupie...
Re: emma is curious because emma is a physics groupie...
Date: 2003-12-04 09:47 pm (UTC)Re: emma is curious because emma is a physics groupie...
Date: 2003-12-05 07:08 am (UTC)Re: emma is curious because emma is a physics groupie...
Date: 2003-12-05 12:23 pm (UTC)Re: emma is curious because emma is a physics groupie...
Date: 2003-12-26 07:17 pm (UTC)no subject
Date: 2003-12-05 12:21 am (UTC)Also, what's the advantage in defining vibrations as phonons instead of just saying 'vibrations'. And... What's meant by a "thermal" vibration?
What's the special part about planck's const.?
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Date: 2003-12-05 12:40 am (UTC)Phonons are more than vibrations precisely because they are quantized in energy in a way analagous to elementary particles and also because they act like particles, which is pretty outrageous at first glance. But I just started reading about them today, so I am not so sure about all the possible wonders of phonons.
Thermal vibrations... I assume that means that it's the inherent vibration described by temperature. (As opposed by outside impulse?)
Planck's constant is solidly a quantum mechanical thing, and to see it showing up in the vibrational modes of macroscopic solids is shocking. Well, kind of.
Well, I don't know much about it yet, but it seems like a very interesting way of describing things. Apparently quite useful too, since you can - apparently - start talking about "electron/phonon interactions" as if a phonon were a real particle.
no subject
Date: 2003-12-05 01:24 am (UTC)no subject
Date: 2003-12-05 07:48 am (UTC)I suppose you're right about the n, it's the energy quantum number... the nu, which I meant to say 'l' is the angular momentum quantum number for elementary particles (read:electrons)
disgruntled south african
Date: 2003-12-05 09:47 am (UTC)solid state physics is BORING!
argument:
1. half the department in cape town does solid state physics
2. they are all weird and boring
-> solid state physics is boring.
I find those phonon things really weird - they almost seem like the vibrational energy people felt left out without having exciting new particles so they invented them.
no subject
Date: 2003-12-05 05:23 pm (UTC)