- 7 A Particular Solid Consists Of Na Atoms Which Behave As Simple Harmonic Oscillators Each Of Which Has An Angular Freq 1 (120.91 KiB) Viewed 67 times
7. A particular solid consists of Na atoms which behave as simple harmonic oscillators each of which has an angular frequency of 5 x 10!3rad S-1. By calculating the specific heat capacity at a number of temperatures (e.g. 50 K, 100 K, 200 K, etc.), plot a graph of the specific heat capacity as a function of temperature. hω = kBT 8. Using the eqn De and the data in the Table, calculate the force constant y for diamond, copper and lead. Compare your values with those obtained in Question 2. Which set of values do you think are most accurate? Table 7.3 Values of the Debye temperature, , fora selection of materials. 8. (K) Aluminium Silver Copper Sodium Gold Lead Silicon Diamond 428 225 345 160 165 95 650 1850 9. Determine the nodes of the equation y = Sin("x") in the range x = 0 to x = L for the cases = nx=1, 2 and 3. 10. Explain why the range of thermal conductivities of solids is much smaller than the range of electrical conductivities. 11. Compare the contribution of electrons and phonons to the thermal conductivity of a monovalent metal (i.e. one valence electron per atom) at 300 K. Assume that the ionic specific heat capacity is given by the classical value, the Fermi energy is5eV, the speed of sound in the metal is 4000 m sł, and that the mean free paths of the electrons and phonons are approximately the same.