Consider an electron in a one-dimensional box as a model of a quantum dot. Suppose the...
Suppose that an electron trapped in a one-dimensional infinite well of width 118 pm is excited from its first excited state to the state with n = 8. (a) What energy (in eV) must be transferred to the electron for this quantum jump? The electron then de-excites back to its ground state by emitting light, In the various possible ways it can do this, what are the (b) shortest, (c) second shortest, (d) longest, and (e) second longest wavelengths (in...
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?
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 trapped in a one-dimensional infinite well and is in its first excited state. The figure indicates the five longest wavelengths of light that the electron could absorb in transitions from this initial state via a single photon absorption: λa = 81.5 nm,λb = 31.1 nm,λc = 19.5 nm,λd = 12.6 nm, and λe = 7.83 nm. What is the width of the potential well? III-(nm)
An electron in a one-dimensional box makes a transition from n-4 to n-1 and emits a photon of wavelength 635 nm. What is the size of the box? What wavelength is emitted when the electron makes a transition from n-3 to n-2 in this one-dimensional box?
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...
Suppose that an electron is trapped in a one- dimensional, infinite potential well of width 250 nm is excited from the 2nd excited state to the fifth excited state. What energy must be transferred to the electron in order to make this transition? Answer: 1.62 x 10^-4 eV Check Correct Marks for this submission: 2.00/2.00. What wavelength photon does this correspond to? Answer: 75.15*10^-4m Check Considering all of the possible ways that the excited electron can de-excite back down to...
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?
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)?
Model the electron in a hydrogen atom as a particle in a one-dimensional box with side length 150 pm. What wavelength of radiation would be emitted when the electron falls from n=3 to n=2? Repeat the calculation for the transition from n=4 to n=2. Compare the results with the corresponding transitions for the Bohr model.