- #1
Gregg
- 459
- 0
1.
I need to find the volta potential between two samples of the same metal.
2.
The electron density is given, ## \rho ##, and each sample are subject to different pressures (1 atm and 100 atm), and it has bulk modulus ##K=1 \times 10^{11} \text{N m}^{-2}##
Is the density given assumed to be the density at 1 atm?
3.
I know that the Fermi energy is
## \epsilon_F = \frac{\hbar^2}{2 m_e}\left(\frac{3\pi ^2N}{V}\right)^{\frac{2}{3}} ##
##N/V = \rho ## .
##K = - V \frac{d P}{dV} ##
So to find the difference in Fermi energies ##\rho_1## is given at 1 atm, and then you can find the other one somehow? Do you assume that the samples are identical and find a new electron density? How do I find the Volta potential once I have the difference in Fermi energies?
I need to find the volta potential between two samples of the same metal.
2.
The electron density is given, ## \rho ##, and each sample are subject to different pressures (1 atm and 100 atm), and it has bulk modulus ##K=1 \times 10^{11} \text{N m}^{-2}##
Is the density given assumed to be the density at 1 atm?
3.
I know that the Fermi energy is
## \epsilon_F = \frac{\hbar^2}{2 m_e}\left(\frac{3\pi ^2N}{V}\right)^{\frac{2}{3}} ##
##N/V = \rho ## .
##K = - V \frac{d P}{dV} ##
So to find the difference in Fermi energies ##\rho_1## is given at 1 atm, and then you can find the other one somehow? Do you assume that the samples are identical and find a new electron density? How do I find the Volta potential once I have the difference in Fermi energies?