Recent content by TFM

Hi What I wanted was to make a contour plot of the first graph, because I am looking for trends and one part is the fact that there should be two peaks, one as seen 'sticking out', so to speak and the other which is obscured under the data, because there are so many points 0 I wanted a...

Thanks

Version 7.8.0.347 (R2009a)

Homework Statement I need to create a contour plot Homework Equations N/A The Attempt at a Solution Hi Firstly apologies if this is not the correct thread. I need to create contour plots using matlab. I currently am creating ordinary scatter plots, but I have been told it...

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...

Okay thanks

Well I am using Firefox, but I copied the link into IE and it works then, How do you clear the browser cache in Firefox? Is it the "Clear Recent History" in tools?

Hi, I tried to post a reply in this thread: https://www.physicsforums.com/showthread.php?t=366419 However, when I clicked post, I got a lot of what looks like coding come up? Now I can't look at the thread or post in it? Not sure if my Post was successful, as it has my username as...

Okay thanks. I subsitituted it into the previous calculation here: N = \frac{V}{3\pi^2}k_F^3 using: k_F = \frac{mv_f}{\hbar} k_F^3 = \frac{m^3v_f^3}{\hbar^3} N = \frac{V}{3\pi^2}\frac{m^3v_f^3}{\hbar^3} \frac{N}{V} 3\pi^2\frac{\hbar^3}{m^3} = v_f^3 then cube it gives me the...

I have found the statement I need in my notes: g(e)de = 2g(k) dk For the third one, I now need to find: v_F = \left( \frac{N}{V} \right)^{1/3}(3\pi^2)^{1/3}\left( \frac{(h/2\pi)^2}{m} \right) So I am assuming I need to convert the Energy term into something with Velocity Would...

Yes. I realized that this morning :redface: For the second expression, k_F = \left( \frac{N}{V} \right)^{1/3}(3\pi^2)^{1/3} I assume I need to use the expression for g(k) g(k) = \frac{Vk^2}{2\pi^2} into N = \int^{k_F}_0 g(k)dk I have done this, but it gives me : k_F = \left(...

That makes sense, at low temperatures, the energy is approximately the step function where all the energy are below the Fermi energy, but as the temperature increases, it goes away from the step function, and more electrons have energy greater then the Fermi Energy. Also, have I made a...

So I was right to assume to do the integral: N = \int_0^{\varepsilon_F} d\varepsilon~g(\varepsilon) And rearrange for E_F =

Well that integral would be: E = \int_0^{\infty} d\varepsilon~g(\varepsilon) \epsilon \langle n(\varepsilon) \rangle, \langle n(\varepsilon) \rangle At low temperatures is thsu the part which goes to the graph like this:| | |__ aa | aa | aa | At low temperatures

Yes that does make sense. So for the first one, do I need to do the integral \int^?_?g(E)de = ? Between 0 and E_F, Which should give me something like N = x And then rearrange it for E_F?