Two adjacent energy levels of an electron in a harmonic potential well are known to be 1.10 eV and 1.54 eV .
What is the spring constant of the potential well?
En = ( n+1/2)ħω
adjacent energy levels difference = En+1 -En = ħω
ħω = 1.54-1.10 = 0.44 ev
ω = 0.44/ħ = 0.44/ 6.5821 × 10-16eV s
=6.68479665e14
ω = sqrt(k/m)
k = m*ω2 = 9.1*10^-31*(6.68479665e14 )^2 = 0.4066472 N/m
spring constant of the potential well = 0.4066472 N/m
****************************************************************************
Goodluck for exam Comment in case any doubt, will reply for
sure..
Two adjacent energy levels of an electron in a harmonic potential well are known to be...
Calculate the first three energy levels of an electron i n an infinite potential well of an electron in an infinite potential well width = 5nm,
Calculate the first three energy levels of an electron in an infinite potential well if you consider the width of well is 0.5nm.
The energy of an electron in a 1.90-eV-deep potential well is 1.50 eV. At what distance into the classically forbidden region has the amplitude of the wave function decreased to 29.0 % of its value at the edge of the potential well?
A finite potential well has depth U0=5.5 eV. In the well, there is an electron with energy of 4.0 eV. a. What is the penetration distance of such electron? b. At what distance into the wall has the amplitude of the wave function decreased to 60% of the value at the edge of the potential well? c. If the depth of the well and the energy of the electron both increase by 0.5 eV, will the results for the question...
The energy of an electron in a 2.25-eV-deep potential well is 1.50 eV.At what distance into the classically forbidden region has the amplitude of the wave function decreased to 27.0 % of its value at the edge of the potential well?
Consider the electron states in an infinite square well potential. a) If the difference in energy between the n=2 and the n=3 states is 2 eV, calculate the width of this square well. b) If energy making a transition from the n=3 state to the n=2 state gives up the energy difference as an emitted photon, what is the wavelength of the photon?
4. Anharmonic potential (15 points) The adjacent figure shows the experimentally determined potential energy curve of the electronic ground state of"Br2, with a few of the vibrational levels. The vibrational transitions are reasonably well described by a harmonic oscillator model, but much more accurately by including a small anharmonic correction term: En/hcVe(n 1/2) - vexe(n + 1/2)2. From fits to experimental data, the values of the constants are 325.32 cm and exe 1.08 cm .5 10 15 (a) Calculate the...
An electron is trapped in an infinite square-well potential of width 0.3 nm. If the electron is initially in the n = 4 state, what are the various photon energies that can be emitted as the electron jumps to the ground state? (List in descending order of energy. Enter 0 in any remaining unused boxes.) highest eV eV eV eV eV lowest eV
5. Electron in an Infinite Potential Well a) Calculate the ground state and two next highest energy levels for an electron confined to an infinitely high potential well of width l = 1.00E-10 m (roughly the diameter of a hydrogen atom in its ground state). b) If a photon were emitted when an electron jumps from n = 2 to n = 1, what would it's wavelength be? In which part of the spectrum does this lie?
Consider the energy levels for Hydrogen in the table below: (note the energy is relative to the energy necessary for an electron to escape. So for Level n = 1 the electron would need to gain 13.6 electron volts to no longer be negative and thus able to escape the atom!) Level (n = ) Energy (in eV) 1 -13.6 2 -3.40 3 -1.51 4 -0.850 5 -.544 6 -.378 What would be the energy of a photon emitted when...