Question

In: Physics

3. In an FCC lattice, the dispersion relation of phonons may be taken to be identical...

3. In an FCC lattice, the dispersion relation of phonons may be taken to be identical to the 1-D model, with equilibrium separation a being equal to the distance between close packed nearest neighbours. Calculate the force constant of gold. Given atomic weight = 197 g mol−1, and density = 1.93 × 10^4 kg m^−3. The speed of sound in gold = 3.24 × 10^3 m s^−1.

Solutions

Expert Solution


Related Solutions

Show that the reciprocal space of the BCC lattice forms an FCC lattice. (Please explain every...
Show that the reciprocal space of the BCC lattice forms an FCC lattice. (Please explain every step)
How is the effective mass related to the electron dispersion relation? What is electron dispersion relation...
How is the effective mass related to the electron dispersion relation? What is electron dispersion relation for the valence band and the conduction band of a 1 dimensional semiconductor.
Draw a picture for what it means for a crystal lattice to be fcc, bcc, or...
Draw a picture for what it means for a crystal lattice to be fcc, bcc, or hcp. Which is spatially least efficient; i.e. which pacts the least atoms per volume of the three?
What are the reciprocal and direct lattice structures of a (100) plane of a FCC structure?...
What are the reciprocal and direct lattice structures of a (100) plane of a FCC structure? What are the lattice constants of these direct and reciprocal lattices, provided that the standard lattice constant of the original FCC lattice is a?
Aluminum (FCC) with atom radius of 0.1431nm. Find the distance between aluminum lattice plane (100) and...
Aluminum (FCC) with atom radius of 0.1431nm. Find the distance between aluminum lattice plane (100) and (111), and calculate the density of that planes.
Consider the lattice of real numbers in the interval [0,1] with the relation ≤. Does this...
Consider the lattice of real numbers in the interval [0,1] with the relation ≤. Does this lattice have any atoms?
Sodium fluoride adopts the NaCl (FCC) structure type. Estimate the lattice energy, ΔU, for NaF using...
Sodium fluoride adopts the NaCl (FCC) structure type. Estimate the lattice energy, ΔU, for NaF using the Born–Lande equation. The bond length for Na–F is 235 pm, and the Madelung constant is 1.7476. The Born exponent of both the cation and the anion is 7.
1. If the standard deviation equals 0, we may conclude that: a. There is no dispersion...
1. If the standard deviation equals 0, we may conclude that: a. There is no dispersion in the data b. The mean is a good measure of the average c. The data are homogeneous d. Everyone scored the same e. All of the above are correct 2. Distribution A and B have the same mean and range. The standard deviation of Distribution A is 30, and of Distribution B is 15. We may conclude that: a. The scores in Distribution...
a) With is the relationship between TFR and GDP and to what this relation may be...
a) With is the relationship between TFR and GDP and to what this relation may be attributed to? b) Using the example of a life insurance premium across age and gender groups, explain how it reflects the concept of life expectancy. c) Explain why the population structure (composition of fertility and mortality) varies between countries.
Consider a cubic I crystal with a lattice parameter of 3 Å, and a single atom...
Consider a cubic I crystal with a lattice parameter of 3 Å, and a single atom at each lattice point.  Calculate the structure factor (F) and its square magnitude |?|2 for the primitive and conventional unit cells. Indicate for each the constraints on ℎ+?+? for systematic absences (|?|2=0).
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT