Lattice Definition and 437 Threads

CONGRATULATIONS TO Martin Bojowald! http://arxiv.org/PS_cache/arxiv/pdf/0704/0704.1137v1.pdf Lattice refining loop quantum cosmology, anisotropic models and stability Martin Bojowald∗ 09 April 2007 Standard Theory SU(3)xSU(2)xU(1).…. String …. Have not done it. He is the first to...

I'm looking for some physical intuition as to why sound waves are quantized. I know two mathematical procedures for deriving phonons in a lattice: 1) impose the canonical commutation relations on the system ad-hoc, and 2) apply the Schrodinger equation to the lattice. But neither of these...

I'm given the energy for a crystal lattice is U(Ro) = (-2Nq^2 ln(2) (1-1/n))/Ro for equilibrium separation (Ro). I need to show that the work to compress the crystal from Ro --> Ro(1-x) is 1/2Cx^2 where C = (n-1)q^2 ln(2)/ Ro. Any hints about where to start? I thought it would just...

Homework Statement How do the atoms and coatoms of the lattice of all subgroups of the group \mathbb{Z}(+,-,0) look like? Homework Equations Let (L,\le) be a lattice and e, f \in L is the minimum (maximum) elements of L. Then we say that a, b \in L is the atom (coatom) of L if a covers...

1. What happens when the angles between the three sides of a trigonal reach 120degrees? I know that at 90degrees, it becomes a simple cubic. At 109degrees, it becomes a body centered cubic. At 60 degrees, it becomes a face centered cubic. What about 120degrees? I think that perhaps it should...

Question 1 — Construct the crystal lattice from the diffraction pattern drawn on page 5 of this exam paper making sure you include the (110) and (220) planes. Explain the procedure used in reconstructing the crystal lattice. What Bravais lattice is represented by the diffraction pattern...

Does anyone have a link or know a website where there is a table of values of lattice constants for NaCl, LiF etc? I'm asking because I was supposed to be provided with a table of values for writing my lab report, but unfortunately the lecturer seemed to have got 'array'. Any help and...

friends i studied abt the crystalline structures of compounds but i am just failing to understand the defects of the crystal lattice so i hope some one will help me in sorting out this problem of mineo:)

What's the difference between a superlattice, lattice and sublattice?

Proving Bravais Lattice Volume?!? Hi guys, So with a Bravais lattice, you have 3 basis vectors: a1, a2, and a3. I know that you would get the volume of the lattice as a scalar product of the three: V = a1 dot [a2 x a3]. How would you start going about PROVING this? A little direction...

this is one of lab question but i don't even understand please help me the question is 1. consider spherical atoms of radius R arranged in a cube closest-packed lattice. if a small cube is constructed so that its corners are at the centers of the corner atoms, then one-eighth of each corner...

I know this might be a really stupid question, but to convert a crystal lattice 2D representation to a 2D reciprocal lattice do you justdo you just invert the scaling. I know this is a pretty poor explanation so I will try and illustrate what I mean. Let's say that you have a reciprocal lattice...

hey guys...im stuck with this experiment of an Electrical Analogue Simulating a crystal Lattice...could anyone explain me the whole concept of relating a set of LC filters to a crystal lattice?

I've just come across a problem and the equation within this problem isn't entirely explained in the text. I've searched on the net for this same 'lattice energy' equation, but there have been no results. Here is the equation: E = Aexp^ \frac{-r} { \alpha} - \frac{Me^2} {4 \pi \epsilon_0 r}...

Hello, I have been programming a doublet lattice code for nonplanar surfaces with zero thickness. I have some questions about LANDAHL's formulation. 1) How the dihedral angle is measured? This question may appear silly, but please explain. Suppose to have a wing with positive dihedral...

could some one please help me with this question, What is the bravais lattice of FeAl crystal I know Iron is bcc, and FeAl is bcc with the Al in the (1/2,1/2,1/2) position, but what is the bravais lattice for this crystal?? I would appreciate any pointers newo

Let P be a polygon whose vertices are lattice points. The area of P is Z + \frac{1}{2}B - 1 . Z is the number of lattice points inside the polygon, and B is the number on the boundary. (a) Prove that the forumula is valid for rectangles with sides parallel to the coordinate axes. (b)...

If we are studying FCC in the direct lattice, Why does the length of the cube side in the reciprocal lattice equal to 4*Pi/a Where a is the lattice constant, a*=|G|=2*Pi/a Sqrt(4) = 4*Pi/a Where a* is the length of the cube site in reciprocal lattice Note: this thing is repeated in 2...

what's the difference between those two?

Has there ever been/is there a project for lattice QCD which uses idle home PCs to assist in QCD calculations, similar to SETI@home? Just wondering as it seems like the kind of project that is perfectly suited to the @home structure.

Write the reaction where the enthalpy change is the lattice energy for silver floride. Make sure you include the physical states. Ag F (ag) yields Ag Positive(g) + F negative(g) Could you please check this Thanks Could you help with this one: write the equation for the reaction...

Just when I thought I understood the concept of planes and miller indices, I got stuck on a 'test your understanding' Q in my book. I can't understand that there can be two or more (110) planes in a crystal lattice? I thought there can be only one such plane. The question asks me to find the...

Does anyone have any comments (pro-con) on the "electron-positron lattice model of vacuum space" by nuclear physicist Dr. Menahem Simhony ? An overview of the model is found at this web page: http://www.epola.co.uk/ From what I can gather, the model predicts that the vacuum space is a...

Hello everybody, I need a FORTRAN code (the source code) with the capability to calculate the generalized aerodynamic matrices given the modes of the structure. In particular, I need a code that is able to handle 3D structures made by assembling trapezoidal plate elements. Does anyone...

Hi. Can someone please help me with the following problem: What is the radius of the largest circle whose interior contains exactly n lattice points. Find the solution for n=0 through 9, and a general solution.

Hello, my name is Kenichi, from japan. Inorder to draw Crystal Lattice 3D Structures, what libraries for free out there to be used with C programming language ? I am still a C novice. I wonder, in chemical simulation research do you also program using C language plus some libraries to...

Perfect periodic ion lattice has no electrical resistance.As we know,this can be easily shown by solving the Schrodinger equation using Bloch therom.Yet,another explanation is that "in a periodic array of scatterers a wave can propagate without attenuation because of the coherent constructive...

Hello all In a ordinary syatem of rectangular coordinates, the points for which both coordinates are integers are called lattice points . Prove that a triangle whose vertices are lattice points cannot be equilateral. Ok so I know that in a equilateral triangle the angle measures are...

What is the densiest space-filling polyhedra lattice?My first guess would be the cubic one, but i am not sure.

There is a new site called "Life on the Lattice" by Matthew Nobes which is what you might call a technical blog about Lattice QCD. He gets into some detail, but he is a clear guide, and it's not beyond the knowledge level of some I've seen post here. Give it a try, it's at...

Hi, I need some direction help. The problem I am facing is related to solutions of equations , where equations are montone functions over complete lattice , operators being meet and join and the solution set should range over elements of lattice. Normally data flow analysis problems in...

Does anybody know where I can find a good reference which describes in a simple way the relations between the Toda lattice and the Korteweg de Vries equation and in particular the former as the finite-dimensional equivalent of the latter?

It seems unlikely that space time is a lattice because it contradicts the fundamental assumptions and theories in physics. If space-time is a lattice its dimensions are likely to be on the order of the Plank time and distance scales. Opinions?

I really want to see the lattice wave.Who knows where could I get the software simulating it? Thank you very much!

by lattice, i mean definition 2 at http://en2.wikipedia.org/wiki/Complete+lattice . this is probably ill-posed but here goes nothing... is there a nonempty lattice such that the maximal element of the lattice is the whole lattice? so what i mean by a maximal element is an element b...

I'm reading "A Course in Advanced Calculus" by Robert Borden, and one of the problems begins as follows: "Prove that the field Q is a lattice, but not a (sigma)-lattice, under the usual order" (pg.25) Q is of course the rational numbers. However, Q doesn't seem to be a lattice, since...

Hi everyone! I would like to post a new thread, related to my research work: QFT on a lattice, i.e. on computers! Is anyone interested?