iv) The Fermi velocity and the mean free path. v) The density of state per unit volume at the Fermi level b) Work out the free-electron value of the heat capacity constant y for Cu, and compared with the experimental values of 0.67 mJ/mole.K². Comment on your result. c) Estimate the temperature below which the electronic contribution to the heat capacity of Cu becomes greater than the lattice vibrational contribution (OD = 343 K).
iv) The Fermi velocity and the mean free path. v) The density of state per unit volume at the Fermi level b) Work out the free-electron value of the heat capacity constant y for Cu, and compared with the experimental values of 0.67 mJ/mole.K². Comment on your result. c) Estimate the temperature below which the electronic contribution to the heat capacity of Cu becomes greater than the lattice vibrational contribution (OD = 343 K).
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Please help with question b and c
Transcribed Image Text:1) Copper (63.5g) has a density of 8.89 × 10³ kg/m³ and an electrical conductivity of 5.8 x 107
22-¹m-¹ at 300 K.
a) Assuming one conduction electron per atom and given that m*=mo, calculate:
i)
The mean free time.
ii)
The Fermi energy.
iii)
The Fermi wave number.
iv)
The Fermi velocity and the mean free path.
v)
The density of state per unit volume at the Fermi level
b) Work out the free-electron value of the heat capacity constant y for Cu, and compared with
the experimental values of 0.67 mJ/mole.K². Comment on your result.
c) Estimate the temperature below which the electronic contribution to the heat capacity
of Cu becomes greater than the lattice vibrational contribution (OD = 343 K).
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