Quantum Statistics
253
assuming one free electron per atom. What is the ratio of ε f (T)/ε f (0) for
these elements at T = 300 K?
12. Show that the electronic specific heat of Cu at room temperature is very
small compared to its lattice specific heat.
13. If electrons are treated as distinguishable particles, at what temperature
would they have an average energy of 5.5 eV (i.e. the Fermi energy of
silver)?
14. Given that the Fermi energy of Cu is 7.0 eV at room temperature, what is
the number of electrons per unit volume with energy greater than
8.0 eV?
15. Given that the electrical conductivity of aluminium is 3.55 × 10
7
Ω
–1
m
–1
estimate its thermal conductivity at room temperature.
16. What is the minimum frequency of radiation which can break apart
Cooper pairs in niobium?
17. A microwave radiation of frequency 10
10
Hz is incident on a Josephson
junction. What is the minimum voltage across the junction for which a
jump in the current is observed?
253
assuming one free electron per atom. What is the ratio of ε f (T)/ε f (0) for
these elements at T = 300 K?
12. Show that the electronic specific heat of Cu at room temperature is very
small compared to its lattice specific heat.
13. If electrons are treated as distinguishable particles, at what temperature
would they have an average energy of 5.5 eV (i.e. the Fermi energy of
silver)?
14. Given that the Fermi energy of Cu is 7.0 eV at room temperature, what is
the number of electrons per unit volume with energy greater than
8.0 eV?
15. Given that the electrical conductivity of aluminium is 3.55 × 10
7
Ω
–1
m
–1
estimate its thermal conductivity at room temperature.
16. What is the minimum frequency of radiation which can break apart
Cooper pairs in niobium?
17. A microwave radiation of frequency 10
10
Hz is incident on a Josephson
junction. What is the minimum voltage across the junction for which a
jump in the current is observed?