The drawbacks of classical theory can be rectified using quantum theory.In classical theory the properties of metals such as electrical and thermal conductivities are well explained on the assumption that the electrons in the metal freely moves like the particles of a gas and hence called "free-electron gas."
Quantum Theory Of Electrons In Metals
The
drawbacks of classical theory can be rectified using quantum theory.
In
classical theory the properties of metals such as electrical and thermal
conductivities are well explained on the assumption that the electrons in the
metal freely moves like the particles of a gas and hence called
"free-electron gas."
According
to classical theory, the particles (electrons) of a gas at zero kelvin will have
zero kinetic energy ( Since E=3/2 KBT ) and hence all the particles
are found to be in rest. But according to quantum theory when all the particles
are at rest, all of them should be filled only in the ground state energy
level, which is impossible and is controversial to the pauli's exclusion
principle.
Thus
inorder to fill the electrons in a given energy level, we should know
the
following.
(i)
Energy distribution of electrons
(ii)
Number of available energy states
(iii)
Number of filled energy states
(iv)
Probability of filling an electron in a given energy state, etc.
Physics for Information Science: Unit I: Electrical Properties of Materials : Tag: : - Quantum Theory of Electrons in Metals
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