Cohesive energy of covalent crystal

  • Thread starter Thread starter helpcometk
  • Start date Start date
  • Tags Tags
    Crystal Energy
helpcometk
Messages
71
Reaction score
0

Homework Statement


The potential Energy per atom in a covalent crystal with interatomic spacing r may be written φ(r) =2ε [A (σ/r)^12 -B (σ/r)^ 6 ]
Derive expressions for the equilibrium interatomic spacing and the cohesive energy of the crystal.


Homework Equations


Again the problem is that i have a covalent crystal .I think cohesive energy is different for different materials, so i would like to give me only a reference (website if possible ) to look if someone knows.


The Attempt at a Solution


 
Physics news on Phys.org
Forget about the material; it's irrelevant. Given any pair potential φ(r), how do you find the equilibrium spacing? Once you have that, what's the volumetric energy difference between having a bond and not having a bond?
 
Thread 'Need help understanding this figure on energy levels'
This figure is from "Introduction to Quantum Mechanics" by Griffiths (3rd edition). It is available to download. It is from page 142. I am hoping the usual people on this site will give me a hand understanding what is going on in the figure. After the equation (4.50) it says "It is customary to introduce the principal quantum number, ##n##, which simply orders the allowed energies, starting with 1 for the ground state. (see the figure)" I still don't understand the figure :( Here is...
Thread 'Understanding how to "tack on" the time wiggle factor'
The last problem I posted on QM made it into advanced homework help, that is why I am putting it here. I am sorry for any hassle imposed on the moderators by myself. Part (a) is quite easy. We get $$\sigma_1 = 2\lambda, \mathbf{v}_1 = \begin{pmatrix} 0 \\ 0 \\ 1 \end{pmatrix} \sigma_2 = \lambda, \mathbf{v}_2 = \begin{pmatrix} 1/\sqrt{2} \\ 1/\sqrt{2} \\ 0 \end{pmatrix} \sigma_3 = -\lambda, \mathbf{v}_3 = \begin{pmatrix} 1/\sqrt{2} \\ -1/\sqrt{2} \\ 0 \end{pmatrix} $$ There are two ways...
Back
Top