n with different

Q: Show that every edge (side) of the polyhedron (square or hexagonal) bonding the Wigner-Seitz unit…

A: Wigner-Seitz unit cell of the body-centered cubic lattice  is a truncated octahedron. Cube…

Q: Solve for the value of €,.

A: here, option d is correct

Q: Prove that the density of states is the same size and the wavelength range of 2+ di toa to be g(1)da…

A:

Q: Structure Factor of the FCC Lattice * HW 2.4 FOURIER ANALYSIS OF THE BASIS Structure Factor of the…

A: To determine: Structure factor of FCC lattice. Structure factor of SC lattice.

Q: Consider an atom with only two states: a ground state with energy 0, and an excited state with…

A:

Q: Prove that in the hetagonal structure the inverted Lattier Veetors are 3iven accor ding to the…

A: Given : a, b, c vectors value to the regular lattice structure of the hexagonal lattice.

Q: Calculate the first three contributions to the electrostatic potential energy of an ion in the CsCl…

A:

Q: The simple mass on a spring is the basis for our description of almost any oscillation. Let’s…

A: The expression for spring constant for N2 is,

Q: A molecule in a liquid undergoes about 1.0 x 1013 collisions in each second. Suppose that every col…

A: here, we can study this problem in following 2 cases:1: one collision in 200 is effective.2: every…

Q: The base translation vectors of the three dimensional tetragonal lattice are given as a1 = ai; a2 =…

A: a1=ai^a2=aj^a3=ck^

Q: Figure QI (c) shows the vectors of the primitive bcc cell that connect atoms at the vertices of the…

A: Given:

Q: Hybrid nature of del operator

A:

Q: 2. A system of particles its reduced mass is given by u moves in å central force F(r). (a) If the…

A:

Q: Find expectation value of position and for an electron in the ground state of hydrogen across the…

A: ..

Q: Calculate the maximum permissible frequency of a crystal if you know that the mass of an atom is…

A:

Q: List the quantum numbers of (a) all possible 3p states and (b) all possible 3d states.

A: a) The sets of numbers that helps to describe the electrons in an atom uniquely are called quantum…

Q: what is the phase and group velocities

A:

Q: Select the correct Miller indices of * lattice plane

A: The plane is located on the x and z axis. Hence the coordinate points are (1 0 1)

Q: Calculate the kinetic energy of free electron (π/a, 0, 3 π/a) in a 3D square lattice.

A:

Q: Derive group velocity and phase velocity in the case of monoatomic vibration with different masses

A:

Q: 2. A system of particles its reduced mass is given by u moves in & central force F(r). If the…

A: We have a system of particles of reduced mass u that are moving in a attractive central force given…

Q: Imagine you generate a three-dimensional lattice by taking vector a and b vectors that form a…

A: Given : Vector a and b form a two dimensional square lattice  Vector c is of different length and…

Q: Construct the reciprocal lattice for two-dimensional lattice in which a = 1.25 Å, b = 2.5 Å, and γ =…

A:

Q: 2- Show that the length ike of the reciprocal lattice vector ī and the interplanar distance dħke of…

A: Length of the reciprocal lattice vector = r*hkl = 1/ length of the 3rd 3rd vector (dhkl)   so, the…

Q: Which of the following statements is correct .1 :for the Bravais lattice The three primitive vectors…

A: First we will discuss some concepts :  BRAVIAS LATTICE / LATTICE :Bravais lattice is an array of…

Q: Ex: find the relaxation timet for electron if the mobility of

A: Mobility of electron, μ = 1400 cm2/V.s = 1400 × 10-4 m2/V.sμ = 14 × 10-2 m2/V.sMass of an electon,…

Q: Calculate the relative populations of two quantum statesseparated by an energy of 40 × 102-1 J if…

A: Energy sepreation between two levels is ∆E = 40×10-21 JTemeperature os state is T= 25o C = 25+273K=…

Q: What role does symmetry play in crystallography? What are symmetry operations and how do they work?…

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Q: A system of particles its reduced mass is given by u moves in a central force F(r). (a) low, find…

A:

Q: Why in 3D vibrational motion the energy due to the energy equipartition theorem is 2 (3/2 NKT) =…

A: Energy = (f/2) NKT f = degrees of freedom For 3D  f = 3 Now, Total energy = translational energy…

Q: 1. In a cavity laser, a beam could be transmitted through the cell without being distorted by the…

A: laser cavity tends to select specific wavelengths within the normal gain bandwidth of the laser gain…

Q: Compute the cut-off frequency for a linear monoatomic lattice it the velocity of sound and the…

A: Given data, Velocity of sound = 3x103 m/s Interatomic spacing = 3x10-10 m

Q: Square Rectangular Нехадonal a2 a2 a, a, a, Ja,l- lagl la,le lagl |a,l= lagl Y = 90° Y = 90° Y= 60°…

A:

Q: - : Derive a state space model for the system shown in Figure below when the input is f. and the…

A: Given:-

Q: A hollow spheiceal Shell ourric) density chaye in the regian Kis kis constant. Find stoarge of the…

A:

Q: what is the difference between a state function and a path function and what are two examples of…

A: 

Q: What will happen if we put a spin-1 particle inside the 3D potential well? Find out the density of…

A:

Q: For the given hasse diagram, Check which are distributive or modular lattice by using M3-N5 theorem.

A: According to the M3-N5 Theorem, a lattice is modular iff it does not have a sub lattice isomorphic…

Q: find the linear density along direction [110] shown in figure bellow if lattice parameter is 0.3615…

A: Given that lattice parameter a0=0.3615nm Lattice point distance =22a0=22×0.3615=0.2556 nm Lattice…

Q: (a) “An electron is caught by the interatomic void site of a Cu crystal and exhibits 0.3 and 0.7…

A:

Q: Show that for those waves whose angular frequency o and wave number k obey the dispersion relation…

A:

Q: A spin- particle is in a state with a definite value S, = }h. Consider an axis ' at an angle 0 to…

A:

Q: Explain the difference between the group velocity and the phase velocity. Tell which one is…

A:

Ising model of Ferromagnets

The Ising model is one of the easiest and most famous theoretical models for ferromagnetism in statistical mechanics. When a group of atomic spins aligns such that their magnetic moments are pointed in the same direction and produce a strong permanent magnetic moment in macroscopic size, the phenomenon is called ferromagnetism. The relative permeability of these magnets is greater than unity and increasing magnetization with the applied external field. Even in the absence of an external magnetic field, these substances retain spontaneous magnetization. An example of ferromagnets is iron.