Question

In: Physics

Atomic physics According to the band theory, how does a crystalline material that has one electron...

Atomic physics

According to the band theory, how does a crystalline material that has one electron per unit cell behave?

Solutions

Expert Solution

Now in this case of one electron per unit cell the, because of the spin we get,

which gives us the first brillouinn zone at Pi/2a and is

Now with the crystal potential the energy inside the First Brillouin Zone is lower close to the zone boundary and hence the Fermi surface is extended towards the zone boundary as it get's closer.


Related Solutions

Solid-state physics, Band gap a, How does the size of the band gap depend on the...
Solid-state physics, Band gap a, How does the size of the band gap depend on the strength of the periodic potential? b, Which type of material would you expect to have the stronger periodic potential, a metal or an insulator? Why? Please explain thoroughly
Band Theory (A) Give a brief description of the formation of electron bands in crystals including...
Band Theory (A) Give a brief description of the formation of electron bands in crystals including reference to the atomic structure of the constituent atoms. (B) Explain the following i.Sodium, which has 2 atoms in a bcc (conventional cubic) unit cell, is a metal ii.Calcium, which has 4 atoms in a fcc (conventional cubic) unit cell, is a metal iii.Diamond, which has 8 atoms in a fcc (conventional cubic unit cell with a basis, is an electrical insulator, whereas silicon...
how does atomic radius, ionization energt, or electron affinity explains the solubility of ions?
how does atomic radius, ionization energt, or electron affinity explains the solubility of ions?
Modern Physics: Experimental basis for quantum theory + Atomic models Use the value for the intensity...
Modern Physics: Experimental basis for quantum theory + Atomic models Use the value for the intensity of sunlight at the surface of the earth from the previous question. Assume that all the light has the same frequency, 5 x 1014? Hz. a. Classical approximation: if the light described above is incident upon a 1 m2? patch of sodium metal, calculate the average amount of energy each atom in the surface    receives per second as well as the amount of...
1. A one-electron atom has atomic number ?, mass number ? and a spherical nucleus of...
1. A one-electron atom has atomic number ?, mass number ? and a spherical nucleus of radius ? . Assume electric charge +?? is uniformly distributed throughout the volume of the nucleus. Ignoring spin, use first order non-degenerate perturbation theory and the hydrogenic wave functions adapted to the one-electron atom to determine the dependence of the ground state energy of the atom on ?
For the following questions please use more detail than the band theory explanation. 1a) What atomic...
For the following questions please use more detail than the band theory explanation. 1a) What atomic energy levels combine to form the valence band?? Please specify the specific energy levels; a diagram will help! 1b) What atomic energy level combine to form the conduction band?? Please specify the specific energy levels and a diagram!! 1c) If there is a relatively low concentration of an ionic impurity in an insulator how does its electronic structure appear in the band structure of...
1) How is the atomic mass if an element calculated? a) Protons plus electron b) Electron...
1) How is the atomic mass if an element calculated? a) Protons plus electron b) Electron plus neutrons c) Protons plus neutrons d) Number of protons 2) Carbonic acid is a useful buffer in the blood. What is its purpose? a) Regulate water content b) Regulate blood flow c) Regulate pH d) Regulate metabolism 3) The substance in which the solute is dissolving into is known as the a) Suspension b) Mixture c) Solution d) Solvent 4) Bacon grease is...
(This has to do with Physics) 6.1.1 How does a capacitor charge?    6.1.2 How does...
(This has to do with Physics) 6.1.1 How does a capacitor charge?    6.1.2 How does a capacitor discharge?     6.1.3 What is the time constant?     6.1.4 What are the units to τ?
How does band theory explain why a crystal made of carbon atoms (i.e. diamond) is transparent,...
How does band theory explain why a crystal made of carbon atoms (i.e. diamond) is transparent, while a crystale made of aluminum atoms is not?
According to Dalton's atomic theory, all of the following are true besides: A) All atoms of...
According to Dalton's atomic theory, all of the following are true besides: A) All atoms of an element have the same chemical properties B) Chemical combing of elements to form compounds involves the bonding together of different whole atoms C) Atoms change the kind of atom they are during chemical reactions D) New substances are produced in chemical reactions by the rearrangement of atoms According to the octet rule, many atoms will react with each other and form compounds so...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT