Lattice Definition and 511 Threads

Homework Statement IF we consider electrons in a crystal subject to a magnetic field. The electrons near the fermi energy wil obey open or closed orbits. Using semiclassical eqn of motion and band structure for a bravais lattice, discuss the behavour and derive all conserved quantities...

Homework Statement Here's a problem I'm having: The primitive vectors of the hexagonal lattice are: a1 = ck a2 = (a/2)i + ([a√3]/2)j a3 = (-a/2)i + ([a√3]/2)j Find the primitive vectors of the reciprocal lattice, i.e. b1, b2, and b3. Homework Equations I do know that the...

Homework Statement "Mono-energetic electrons are diffracted by a lattice. Their wavelength is shown to be L=0.35nm. What are the energies of the electrons?" Homework Equations E=hf c=hL The Attempt at a Solution c/L gives 8.566exp17 h=6.626exp-34 I plug them in and...

[SOLVED] SHM: atom in a lattice Homework Statement From Advanced Physics by Adams and Allday. Spread 3.34, Q 5. An atom of mass 5 \times 10^{-26} kg is in a cubic lattice with all bonds between adjacent pairs of atoms having a spring constant about 100 N/m. Estimate the natural frequency...

If not, then what are the conditions for us to construct a periodic boundary condition(PBC)? If so, then please help me construct a PBC for the lattice shape in the attachments. I want to ask that what lattice site m's left neighbor is and what lattice site i's down neighbor is.From the...

Homework Statement Order the following compounds in order of increasing lattice energy: AlN, BaTe, KCl, Rb2Se Homework Equations The Attempt at a Solution Ok I know that as the distance between the two nuclei decreases and as the charge of the cation and anion increase the lattice energy...

Could anyone suggest a book for studying lattice models. Especially xy and Heisenberg models.

Calculate the lattice constant of a body-centered cubic iron crystal using the molar mass of iron, the density of iron and the Avogadro number.

First off, this is not a homework problem. I was reading Charles Kittel solid states book on Chapter 2, equation 3: electron number density, n(x), expanded in a Fourier series: n(x) = n_0 + \sum_{p} [C_p cos(\frac{2\pi p x}{a}) + S_p sin(\frac{2\pi p x}{a})] From this expansion, wouldn't...

Homework Statement Which one of the following ionic compounds has the largest lattice energy? NaCl CaO Li2O CaCl2 Homework Equations Ionic/Atomic size The smaller the ionic size, the larger the lattice energy. Size increases from right to left, increases top to bottom of...

It seems to me that the UV divergences in a quantum theory of gravity could be canceled by just requiring the distance between any two points be finite. I know loop quantum gravity basically addresses this through the quantization of area and volume, but you don't even need loop quantum gravity...

Hi all, I'm struggling to understand the relationship between electrical conductivity and Bragg reflection in a 2D square lattice free electron gas with lattice spacing a. Is it the case that Bragg reflection in the electron gas results in electrical resistivity? My understanding of...

Will someone please give me a link that explains how to find the "lattice constant" of certain atoms. Or could someone please walk me through the process of how you find the lattice constants. Thanks in advance:smile:

Homework Statement "What does a reciprocal lattice vector represent in the real lattice?" The Attempt at a Solution The answer to that one is that the reciprocal lattice represent all possible k-values for the incoming radiation to be contained in the real lattice. Hence a...

I have been learning kittel's solid physics, But find it hard to have a firm grab of what a reciprocal lattice is like and can't understand it's relationship with e original lattice.. Is there a picture that draws a lattice n its reciprocal lattice into e same picture? so that i can visualize...

Let R be a convex region symmetrical about the origin with area greater than 4. Show that R must contain a lattice point different from the origin. This is the 2-D case of Minkowski's theorem, right ? How about the n-dimensional version ? The n-dimensional version is : Given a convex...

I am trying to understand 3D Si dispersion relations and reciprocal lattice vectors. My confusion is that when I look at dispersion relations the wave vector typically is normalized from 0 to 1 by a/2pi. I thought the edge of the first BZ was pi/a. Is this correct or is it 2pi/a for a diamond...

I'm having some problems with the calculations associated with this problem: Which compound in each of the following pairs of ionic substances has the most exothermic lattice energy? (a) LiF CsF I know I need to use Coulomb's law, but I don't know how to calculate r...

I am looking for informations about CoIr alloys. Who can tell me about crystal structure, lattice parameters of CoIr alloy? Please share me some references about this material. Thanks! :!)

Ok most questions (that I have come across) when dealing with the Born Haber Cycle give the Sublimation energy, the Dissociation energy, the Electron Affinity, the Ionization Energy, and the Formation Energy. I know that to get the Formation Energy it is: Hf= Hs+Hi.e.+1/2Hd+He.a.+U (Lattice...

Ok most questions (that I have come across) when dealing with the Born Haber Cycle give the Sublimation energy, the Dissociation energy, the Electron Affinity, the Ionization Energy, and the Formation Energy. I know that to get the Formation Energy it is: Hf= Hs+Hi.e.+1/2Hd+He.a.+U (Lattice...

My textbook treats lattice waves as if they are waves propagating through a mass-spring chain. Kind of like this: M -/\/\/- M -/\/\/- M -/\/\/- M The book talks about the motion of the nth atom. It says that the motion of the nth atom has been simplified by only considering the motion...

Is there a way to get a local bosonic theory out of spin foam formalism? Xiao-Gang Wen's suggestion, first published 6 Jul 2004 http://arxiv.org/abs/cond-mat/0407140v2 Page 8 "Remarkably, it appears that the theory of loop quantum gravity can be reformulated in terms of a particular kind of...

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...