- #1
nonequilibrium
- 1,439
- 2
Hello,
If I understand correctly, the main contribution inside solids that result in the behavior of a black body at high temperatures is that the electron clouds vibrate around their nuclei. Please correct me if I'm wrong.
If I'm correct: to get a black body spectrum every frequency should be possible (or anyway, a lot of them should be, not just a handful of frequencies, I mean) and I was wondering how exactly the frequencies are physically determined. I assume you cannot model every atom as isolated? (because then you would get the same frequency for every atom, assuming your solid is homogeneous, and a quick derivation based on a simple model where the electron cloud is assumed homogeneous, leads me to [itex]\omega = \frac{q}{\sqrt{4 \pi m \epsilon_0 R^3}}[/itex] where q is the absolute charge of the cloud, and if we assume that "volume ~ #particles" then [itex]\omega \propto \sqrt{N}[/itex] where N are the number of electrons). So is it the vast interconnection of the atoms that lead to the variation of frequencies needed for black body radiation? So is it correct that a gas of hot atoms (but no plasma!) cannot exhibit black body radiation? And is it complex to actually calculate the frequencies?
Thank you.
If I understand correctly, the main contribution inside solids that result in the behavior of a black body at high temperatures is that the electron clouds vibrate around their nuclei. Please correct me if I'm wrong.
If I'm correct: to get a black body spectrum every frequency should be possible (or anyway, a lot of them should be, not just a handful of frequencies, I mean) and I was wondering how exactly the frequencies are physically determined. I assume you cannot model every atom as isolated? (because then you would get the same frequency for every atom, assuming your solid is homogeneous, and a quick derivation based on a simple model where the electron cloud is assumed homogeneous, leads me to [itex]\omega = \frac{q}{\sqrt{4 \pi m \epsilon_0 R^3}}[/itex] where q is the absolute charge of the cloud, and if we assume that "volume ~ #particles" then [itex]\omega \propto \sqrt{N}[/itex] where N are the number of electrons). So is it the vast interconnection of the atoms that lead to the variation of frequencies needed for black body radiation? So is it correct that a gas of hot atoms (but no plasma!) cannot exhibit black body radiation? And is it complex to actually calculate the frequencies?
Thank you.