Question

Calculate the probability of exciting an electron in a one-dimensional box (actually a nanoscale wire) to the n 2 excited sta

0 0
Add a comment Improve this question Transcribed image text
Answer #1

Zmar The energy of a eo in 10 box, E = nn to where m= man of election L a= length of box Hore, n=2 So E = 4 5 h - 2 mar given

Add a comment
Know the answer?
Add Answer to:
Calculate the probability of exciting an electron in a one-dimensional box (actually a nanoscale wire) to...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • Consider an electron in a one-dimensional box as a model of a quantum dot. Suppose the...

    Consider an electron in a one-dimensional box as a model of a quantum dot. Suppose the box has width 0.7 nm. For this problem, absorption of light and subsequent relaxation connect two states (i andj) with a difference in energy, AEi E - E. (a) Calculate AEsi and AE2I for luminescence from excited energy levels to the ground state. Convert the energies to the corresponding wavelengths of light, λ31 and λ21. (b) Find the wavelength of light that corresponds to...

  • 7. We have an electron trapped in a one dimensional box, and is excited to the...

    7. We have an electron trapped in a one dimensional box, and is excited to the 2nd (n = 2) state. What will be the length of the box if our electron has the same energy as a violet photon (404 nm)?

  • An electron (mass m) is trapped ina 2-dimensional infinite square box of sides Lx - L...

    An electron (mass m) is trapped ina 2-dimensional infinite square box of sides Lx - L - L. Take Eo = 92/8mL2. Consider the first four energy levels: the ground state and the first three excited states. 1) Calculate the ground-state energy in terms of Ep. (That is, the ground-state energy is what multiple of Eo? Eo Submit 2) In terms of Eo, what is the energy of the first excited state? (That is, the energy of the first excited...

  • An electron in a 10.1-nm one-dimensional box is excited from the ground state into a higher-energy...

    An electron in a 10.1-nm one-dimensional box is excited from the ground state into a higher-energy state by absorbing a photon of electromagnetic radiation with a wavelength of 13,950 nm. Determine the final energy state for this transition. 04 0 0 w Na Un 0 0 1 pts Question 24

  • An electron is confined in the ground state in a one-dimensional box of width 10-10 m....

    An electron is confined in the ground state in a one-dimensional box of width 10-10 m. Its energy is known to be 38 eV. (a) Calculate the energy of the electron in its first and second excited states (b) Sketch the wave functions for the ground state, the first and the second excited states (c) Estimate the average force (in Newtons) exerted on the walls of the box when the electron is in the ground state. (d) Sketch the new...

  • What is the length of a one-dimensional box if an electron requires a wavelength of 6350...

    What is the length of a one-dimensional box if an electron requires a wavelength of 6350 nm to be excited from the n = 2 to the n = 3 energy level?

  • 2. (a) When a particle of mass 1.0 x 10-26 g in a one-dimensional box goes...

    2. (a) When a particle of mass 1.0 x 10-26 g in a one-dimensional box goes from the n=3 level to n=1 level, it emits a radiation with frequency 5.0 x 1014 Hz. Calculate the length of the box. (b) Suppose that an electron freely moves around inside of a three-dimensional rectangular box with dimensions of 0.4 nm (width), 0.4 nm (length), and 0.5 nm (height). Calculate the frequency of the radiation that the electron would absorb during its transition...

  • 5. An electron in a one-dimensional box of width L = .75 nm decays from the...

    5. An electron in a one-dimensional box of width L = .75 nm decays from the n = 3 state to the ground state by emitting two photons. What are their wavelengths?

  • 2) If we assume the π-network in decatetraene (C10H12) to serve as a one dimensional box...

    2) If we assume the π-network in decatetraene (C10H12) to serve as a one dimensional box containing eight π-electrons that can each be assumed to behave according to the particle in a box model where each level is assumed to be doubly degenerate, and if we further assume that the molecule is linear and use the values 135 and 154 pm for the C=C and C- C bonds respectively, what wavelength of light is required to induce a transition from...

  • Exercise 10.14 A particle is initially in its ground state in an infinite one-dimensional potential box...

    Exercise 10.14 A particle is initially in its ground state in an infinite one-dimensional potential box with sides at x = 0 and x a. If the wall of the box at x-a is suddenly moved to x = 10a, calculate the probability of finding the particle in (a) the fourth excited (n = 5) state of the new box and (b) the ninth (n 10) excited state of the new box.

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT