Debye Definition and 69 Threads

can someone please tell me what the debye termperature is, in words. why is it important? and is it actually a temperature? thanks

What exactly is the Debye length? From what I understand, when a charge q>0 is shielded by an electron cloud, then the Debye length is the distance the potential of the charge q falls by 1/e. Is it that simple? Furthermore, how do you go about deriving the expression...

Homework Statement Consider a linear array of N similar atoms, the separation between nearest neighbours being a. Discuss the specific heat of the system on the basis of the Debye approximation and show that at low temperatures, the specific heat would be expected to be proportional to T...

Hi Members, We know that in Debye model, the phonon spectrum is given by g(\omega)=Const.\omega^2. And if we have N atoms and so 3N normal modes..so 3N=integral of g(\omega)d\omega and solving by simple integration rule we get Const. = 9N/(\omega^3_D). Now my problem is how to get it...

Homework Statement Carbon 12 has a debye temperature of 2230 K, what is the debye temperature of carbon 13? No data on Debye frequency is provided. Homework Equations This is the problem, the only equations I can find relate the Debye Frequency to the Debye Temperature. \theta_{D}...

What does a high Debye temperature mean? I know it's related to the phonon contribution to heat capacity at low temperatures, but that's about it. Specifically, why is the Debye temperature of copper so much higher than that of lead? (I'm working on this in lab right now and can't find an...

I guess is Debye temperature dependent on temperature? I.e TD(T)? Does anybody know a theoretical formula for temperature dependence of Debye temperature?:confused:

Homework Statement We are looking at the molar heat capacity, Cv, of copper over temperatures from 1-300K After plotting the numbers and looking at T from 1-15K, then fitting that to a curve. We have to find what the constants \beta and \gamma are in ... Cv=\gammaT + \betaT_{3} Where...

Homework Statement At what temperature T does the specific heat of the free electrons become larger than the specific heat of the lattice? Express T in terms of the Debye temperature and the electron concentration. Calculate T for copper (Debye = 343 K). Homework Equations...

Homework Statement Show that the zero point energy of a Debye solid is: (9/8) N k (Debye Temp) Homework Equations zero point energy = sum of (1/2 w hbar ) over all i The Attempt at a Solution I used the Debye spectrum g(w) = 9N w^2 / w(D)^3, for w < w(D) g(w) = 0 for w>w(D) Then I...

Hi, I need to calculate the parameters of the following equation: S = (a + ((b-a)/(1+((2*pi*x)^2*c^2)))) I have the measured data of S and need the parameters a,b and c to get a curve fit in the software for analysis. If someone can help me in this regard or suggest any software that...

Hi Guyz, Why the results in the paper I've attached aren't like the results I got in my pdf? Please look at the paper in the last line, the second term doesn't correspond to what I calculated, What i calculated is in the pdf file, is it wrong? Why in my work there is exponential terms...

I am currently re-reading an old textbook on thermal physics and they have listed the final result for calculating the Debye Heat Capacity as C =9R(T/ThetaD)^3*Integral((z^4*e^z dz)/(e^z-1)^2, 0-->ThetaD/T) But they fail to mention what the R in this equation is, Could some one please tell...

Just a question: I do know it is possible to have a debye layer in a electrolyte. But is it posible to have a Debye layer in air?. I mean, if I put a single charged particle in air, do I have a layer of ionized air surrounding it??. Thanks.

I've calculates the density of aluminium using the debye theory. I found The atom density n = 2.24E28 m^-3 at 600k (assumed to be the same as at room temperature). Therefore the density is just the molecular mass m (m(grams) = (79amu / Avogadros number), multiplied by the atom density...

in a crystal, when proving the debye frequency, why is the existence of longitudinal lattice ignored? why is there longitudinal lattice in the first place?

Can someone explain to me what this is? All we were told in my Physics of Stars module was that for a plasma, L \gg \lambda_{D}, where \lambda_{D} is the Debye length. We were also told that it's an "e-folding distance" for a potential, but that doesn't help to understand it. I'm not...

1) It is desired to use an encounter with Jupiter to send a spacecraft on a trajectory which barely escapes the solar system. The spacecraft is launched from Earth onto a trajectory whose aphelion is at Jupiter’ s orbit. Determine how close to the surface of Jupiter the spacecraft must...

Greetings ! I searched the web and couldn't find it. I wan'na know the Debye length for Xenon ions. Thanks ! :smile: Live long and prosper.