Question

Consider a 3-D box with sides 1 cm. The Fermi energy is given as 3.0 eV....

Consider a 3-D box with sides 1 cm. The Fermi energy is given as 3.0 eV. How many electrons are in the box?

Science   Advanced-Physics   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Total number of free electrons inside the box is 2.36×1022

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
For aluminum (units of eV) at T = 0 K, calculate the Fermi Energy of electrons....
For aluminum (units of eV) at T = 0 K, calculate the Fermi Energy of electrons. Assume that each aluminum atom gives up all of its outer-shell electrons to form the electron gas. b) Find the Fermi velocity of electrons in aluminum. c) How many times larger is the Fermi velocity compared to the velocity of electrons with kinetic energy equal to thermal energy at room temperature?
(d) Using the fact that there is one electron per energy state up to the Fermi...
(d) Using the fact that there is one electron per energy state up to the Fermi energy, Ef, and that the total number of electrons in the volume V of the metal, is given by ? = ∫ ?(?)?? (boundaries ?f top, 0 bottom of integral) show that ?f = (ℏ^2/2?)* (( 3?^2 ?)/ ?)^ 2/3 Estimate the value of the Fermi energy at T = 0 K for aluminium, assuming the density, p = 2.7 g/cm^3,the atomic mass is...
If an atom had energy levels at -10 eV, -4 eV, -1 eV, and of course...
If an atom had energy levels at -10 eV, -4 eV, -1 eV, and of course zero, according to Bohr's model this atom's electrons could undergo energy changes: A. Only in the amounts of 3 eV, 6 eV, and 9 eV B. Only in the amounts of 1 eV, 3 eV, 4 eV, 6 eV, 9 eV, and 10 eV C. Only in the amounts of 10 eV D. Only in the amounts of 1 eV, 3 eV, and 4...
Solid State Physics Find the number of free electrons in copper at 300 K with E...
Solid State Physics Find the number of free electrons in copper at 300 K with E = 5 eV and E = 7.1 eV for a sample of volume 1 cm^3. Use the density of states g(E) and the Fermi-Dirac probability function f(E) to estimate the number of free electrons. in a metallic solid You need to multiply a small value of dE (let's say dE = 0.0001 eV) times g(E) and f(E) and the given volume of 1 cm^3....
Photons occupy a box with volume 0.050 m3. How many states with energy between 0.0200 eV...
Photons occupy a box with volume 0.050 m3. How many states with energy between 0.0200 eV and 0.0202 eV are available to the photons?
A. What is the energy in 10-3 eV of a photon that has a momentum of...
A. What is the energy in 10-3 eV of a photon that has a momentum of 6.13×10−29 kg ⋅ m/s ? B. What is the energy in 10-9 eV of a photon in a radio wave from an AM station that has a 1,506 kHz broadcast frequency? C. Calculate the frequency in 1020 Hz of a 0.571 MeV γ-ray photon. D. A certain molecule oscillates with a frequency of 1.73×1013 Hz. What is the approximate value of n for a...
2. Free Electron Gas a. Consider a free electron gas of valence 4s-electrons in potassium (atomic...
2. Free Electron Gas a. Consider a free electron gas of valence 4s-electrons in potassium (atomic mass M=39.1 and density 856 kg/m3). What is the energy (in electron volts, eV) of the highest filled level in the ground state (i.e., the Fermi energy at zero temperature)? b. Calculate the corresponding electron velocities. c. Calculate the density of states at the Fermi energy. How large is the number of electrons in so- called “soft zone” or “Fermi window” of about 4kBT...
Consider a sample of pure copper with dimensions of 1 cm x 1 cm x 1...
Consider a sample of pure copper with dimensions of 1 cm x 1 cm x 1 cm. The sample is cold worked and has a dislocation density of 1010/cm2 . After a recrytstallizing anneal, the dislocation density is reduced to 104 /cm2 . If the average dislocation line energy is 5 eV/nm, calculate the energy change associated with this aspect of the recrystallization process. It was said there was not enough information to answer, but this is all that was...
Consider electrons at the surface of a metal whose work function is 2.4 eV. Laser light...
Consider electrons at the surface of a metal whose work function is 2.4 eV. Laser light of wavelength 350 nm and power output of 100 mW is shone on this metal, and all the energy of each photon is absorbed by the electrons at the surface. If we model the de Broglie wave function of the electrons as plane waves, how many electrons per second do we expect to see ejected from the metal’s surface? (5) Hint: treat the work...
Consider the first three energy levels of hydrogen (n = 1, 2, 3). a) What photon...
Consider the first three energy levels of hydrogen (n = 1, 2, 3). a) What photon energies can be observed from transitions between these levels? Label these in increasing order as E1, E2, and E3. b) A hydrogen atom which is initially in the n = 2 level collides with an aluminum atom in its ground state (the kinetic energy of the collision is nearly zero). The hydrogen can drop to the n = 1 level and ionize the aluminum...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT