Is Planck's Law of Black-Body Accurate?

[happyparticle]

TL;DR Summary

If the amount of power $\beta$ is greater than energy to remove electron, does it means that the link between the atom and the electrons is broken?

First of all, Is $\beta$ given by the Planck's law of black-body is the amount of power contained in radiation emitted by a black body?
I'm not sure to fully understand the law above.
Does it means that if amount of power over all the frequencies is greater than the energy needed to remove an electron of a solid then the atom will lose an electron? Since I must convert power to energy I'm not so sure about the statement above.

 

[Drakkith]

Does it means that if amount of power over all the frequencies is greater than the energy needed to remove an electron of a solid then the atom will lose an electron?

No. Planck's law is about how much radiation is emitted from a blackbody at a given temperature, along with how the power is split among different frequencies. By itself is says nothing about whether electrons are split from atoms. That requires that a photon of sufficient energy be absorbed by the atom.

Since I must convert power to energy I'm not so sure about the statement above.

What are you trying to do?

 

[DrClaude]

Does it means that if amount of power over all the frequencies is greater than the energy needed to remove an electron of a solid then the atom will lose an electron?

No. All it takes is a single photon of the right energy (wavelength/frequency). The total power emitted is irrelevant. The power at each wavelength/frequency is only relevant for calculating the probability that it will happen.

 

[happyparticle]

Sorry for the delay. Thank you for your answers. I now think that I don't really understand what exactly is the radiation emitted from a black body. I thought it was the photons.

 

[PeterDonis]

I now think that I don't really understand what exactly is the radiation emitted from a black body. I thought it was the photons.

The issue is not that black body radiation is made of something besides photons. The issue is that you are incorrectly assuming that the only process in an object that can possibly involve photons is electrons being removed from atoms.

In fact there are lots of ways for objects made of lots of atoms to emit (and absorb) photons that leave atoms perfectly intact.

 

[Drakkith]

Sorry for the delay. Thank you for your answers. I now think that I don't really understand what exactly is the radiation emitted from a black body. I thought it was the photons.

It is photons. The photons are predominantly emitted by the 'jiggling' of the charges making up the material, not from electrons being removed from or added to atoms.

 

[happyparticle]

Is it possible that I messed up photon and photoelectrons. It seems like I described this phenomenon where electrons are emitted when hit by electromagnetic radiation. In this case can the electromagnetic radiation be emitted by a black body?

 

[hmmm27]

Is it possible that I messed up photon and photoelectrons. It seems like I described this phenomenon where electrons are emitted when hit by electromagnetic radiation. In this case can the electromagnetic radiation be emitted by a black body?

A black body is a theoretical construct that models ideal thermal radiation. What you're talking about is electron excitation/relaxation, which is the basis for substances' emission/absorption spectrum.