Man you are the myth, the monster, and the legend. I hope you were my professor. I'm in awe after watching your videos. You are a savior. Keep uploading and helping us😁
hi isnt the density of state proportional to square root of E 38:09 thats what we derived in your dos video, please clarify this if its a different relation
Hi, that would be true if it was a system of electrons - but we are considering a system full of phonons. The dispersion of phonons is given by E = hbar*k*v which leads to a different result for the density of states than in the case for electrons, namely proportional to E^2.
Essentially, Einstein didn't take into account the interaction between the particles that make up the insulator. He assumed that each atom oscillated independently of one another, whereas Debye, through introducing phonons, included phonon modes which described collective oscillations of the atoms through the solid. This allows for more states to be available for low energies, therefore increasing the heat capacity dependence to a T^3 law.
im a music producer far away from maths trying to understand the E=Hf, i want to know how much energy per frequency of a soundwave, and how to put it on a graph from 20hz to 20Khz, can someone help ? very informative video tho !
Man you are the myth, the monster, and the legend. I hope you were my professor. I'm in awe after watching your videos. You are a savior. Keep uploading and helping us😁
Thankyou for your kind words! l will do soon! :)
Super underrated channel
I'm watching u from Egypt. I'm going to explain this model next lecture to my students. Ur explanation is very creative and simple.
The legend is back with yet another excellent and informative video!
This is great, well explained,keep it up man👍
Thanks. that is an elegant explaination, keep doing this kind of content please, would also love to see some problems solved. thanks again.
Thanks for your video!!
cool man. Loved the way you have explained this..
Fantastic!!!
You are great!
You saved my stastical mechanics test💞
Wao, this is excellent and well explained thank you, you helped a lot, its what I have been looking for
Thank you❤ for such a good explanation
Thank you very much! Helped a lot!
Thank you!
hi isnt the density of state proportional to square root of E 38:09 thats what we derived in your dos video, please clarify this if its a different relation
Hi, that would be true if it was a system of electrons - but we are considering a system full of phonons. The dispersion of phonons is given by E = hbar*k*v which leads to a different result for the density of states than in the case for electrons, namely proportional to E^2.
Series finale of heat capacity of solid
Seriously bro keep it up
Nice video! Why is this model with the springs more accurate then Einsteins or Debye's model seen in the dispertion relation?
Essentially, Einstein didn't take into account the interaction between the particles that make up the insulator. He assumed that each atom oscillated independently of one another, whereas Debye, through introducing phonons, included phonon modes which described collective oscillations of the atoms through the solid. This allows for more states to be available for low energies, therefore increasing the heat capacity dependence to a T^3 law.
Are you able to define the debye frequency/temperature with respect to a phonon density of states? If so what physically does it mean?
Hi your videos are highly informative and helpful. Kindly which branch of physics did you specialize in.
I actually specialised in biophysics, but I’m now doing a PhD in atmospheric chemistry
@@pazzy768 wow your contents are amazing. Want to be like you in future.
❤
Sir Tamil video update plsss
𝚙𝚛𝚘𝚖𝚘𝚜𝚖 💕
im a music producer far away from maths trying to understand the E=Hf, i want to know how much energy per frequency of a soundwave, and how to put it on a graph from 20hz to 20Khz, can someone help ? very informative video tho !