Sodium is a body centered cubic crystal with a single 3s valence electron and a lattice...
Sodium is a body centered cubic crystal with a single 3s valence electron and a lattice parameter a = 0.4225 nm. Assuming the electron effective mass in sodium to be m∗ = 1.26 me where me is the mass of a free electron in vacuum, use Eq.(2) to estimate the value of γ for the 3s electron band in sodium. State your answer in eV. Hint: Taylor expand Eq. (2) to second order in kx, ky, and kz.
Ek = Ev − 8γ cos(akx/2 ) cos(aky/ 2 ) cos(akz/2 ) -------------------------------- Eq.(2)
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Sodium is a body centered cubic crystal with a single 3s valence
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The chloride ions in a sodium chloride crystal are in a face-centered cubic lattice. Even though...
The chloride ions in a sodium chloride crystal are in a face-centered cubic lattice. Even though they touch sodium ions, the chloride ions do not touch each other. A sodium ion has a radius of 99 pm, and a chloride ion has a radius of 181 pm. How far apart are the chloride ions at their closest point? Please explain how and why you find the hypotenuse, edges, and gaps and why you use certain values. Thank you.
Consider a free electron, empty lattice model with effective mass m* in a simple cubic crystal...
Consider a free electron, empty lattice model with effective mass m* in a simple cubic crystal with direct lattice distance a, and reciprocal lattice vectors of length a. Find the energies at the high symmetry points Г, X, M and R and indicate the zone boundary rsion along TX, TR, Г b. Find the expression for the lowest energy band in the XM direction. Sketch the Energy band diagram along RIXM「 c.
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Post-lab question Part A 1. Metallic sodium forms a body centered cubic crystal. Why would the...
Post-lab question Part A 1. Metallic sodium forms a body centered cubic crystal. Why would the water displacement method used in part A not be suitable to determine the density of sodium? (Hint: watch the following video to help you answer this question: https://www.youtube.com/watch?v=18tOtZKpi04) 2. Calculate the density of sodium. (The radius of a sodium atom is 186pm) Post-lab Question Part B: Consider cubic array iodide ions (r =220pm) in which the anions are touching along the face of the...
EENG 245 Physical electronics HW 1 1) The NaCl crystal is cubic, and can be described...
EENG 245 Physical electronics HW 1 1) The NaCl crystal is cubic, and can be described as follows. Na atoms sit at the corners and faces of a cube, and Cl atoms sit in between two Na atoms. This means that a Clatom is found half-way along each of the cube edges, and there is a Cl in the center of the cube. (We could also have described the lattice by interchanging Na and Cl in the description above.) Another...
Consider a free electron, empty lattice model with effective mass m* in a simple cubic crystal with direct lattice distance a, and reciprocal lattice vectors of length a. Find the energies at the high symmetry points Г, X, M and R and indicate the zone boundary rsion along TX, TR, Г b. Find the expression for the lowest energy band in the XM direction. Sketch the Energy band diagram along RIXM「 c.
- Guller : wird in approximate incidht herzy for which a Crystal lattice would make a good diffraction grating for (a) Photons, (b) neutrons (mn C? 939 MeV) - Question 2. In an one-dimhsional iflriconductor material With lattice Constant of a the herzy function of Conduction hond is Ec (k) and of valence bond is EV(K), Ec (K) – ha ke + ħ? (K-Kqja, Ev (K) = h? Ki - 3 h?k? omo mo Id mo is the electron moss...
Post-lab question Part A 1. Metallic sodium forms a body centered cubic crystal. Why would the water displacement method used in part A not be suitable to determine the density of sodium? (Hint: watch the following video to help you answer this question: https://www.youtube.com/watch?v=18tOtZKpi04) 2. Calculate the density of sodium. (The radius of a sodium atom is 186pm) Post-lab Question Part B: Consider cubic array iodide ions (r =220pm) in which the anions are touching along the face of the...
EENG 245 Physical electronics HW 1 1) The NaCl crystal is cubic, and can be described as follows. Na atoms sit at the corners and faces of a cube, and Cl atoms sit in between two Na atoms. This means that a Clatom is found half-way along each of the cube edges, and there is a Cl in the center of the cube. (We could also have described the lattice by interchanging Na and Cl in the description above.) Another...
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