My two cents, mathematically, it's basically an energy expression expanded in terms of six degree of freedoms to the 2nd order of geometry changes (those e_i). Since the solid is stable, thus 1st term vanishes, only the quadratic term is left. The derivative of (free) energy w.r.t geometry...
Thanks, I understand here ##\psi## is a scalar, thus a geometric transformation does not change it, while dot product being a scalar is also not affected. What if ##\psi## is a spinor with its axis along discrete z direction while the target K has a direction arbitrary in space, or another...
Yes, I understand there is point group symmetry operation on how to related one K point to the other equivalent ones, but I don't know how to transform the eigen-wavefunction for (n,K) where n is band indices? I believe this could be done. A further question is, would the transformation depend...
In ab initio calculations for periodic systems, only an irreducible K grid is used for calculation, and consequently only those K points have their wavefunction calculated. My question is, how to recover wavefunction at other K points not included in the irreducible K grid? Similar questions to...
Usually one would expect through \sigma=ne^2 \tao/m and DOS~1/m to argue that \sigma ~ DOS around Fermi surface. This seems to be a quite fundamental argument and should be expected to hold most of the time. For a quality check, does anybody have experience on how often LDA gives consistent DOS...
I tried VESTA, and dragged the primitive cell to different orientations, and then output the structure to files, but found no change in the atomic positions. Maybe I did something wrong, if anybody knows how to do so with VESTA and let me know where I did anything wrong, I would be really...
Dude, thanks for your response anyway. Everybody learned linear algebra and I know it pretty well. For these well-developed topics and industry-like ab initio calculation, there should be ready tools existing to free individuals from detailed manipulation of matrices and close attention to avoid...
In case the orientation of a primitive cell is not what I want, is there tools to do a user-supplied 3D rotation to bring the primitive cell to the preferential orientation and output the new coordinates? Thanks,
Experimentalists usually provide chemical unit cell information including full symmetry (space group) information of the crystal together with coordinates of independent atoms. But this cannot be directly used by ab initio packages, which requires either primitive cell or unit cell information...
This might be a specialized question and hopefully people working in this area know it. I need to get atomic coordinates for a specific crystal in SpringerMaterial. It however gives two different coordinates, standardized and published coordinates. I looked through the website can cannot find a...
One thing I might mention is that the lack of accuracy can be in NIntegrate as well as it might fail to reach prescribed precision goal I set. I have written to Mathematica to see whether there is way to detect the condition satisfied or not.
Thanks, I had been clicking on the figure icon on top of the textbox, and it really didn't do what I wanted. Here is the figure showing the two otherwise equivalent expressions have error bigger than machine precision and has a strong dependence on the input parameters.
I understand the...