When an electron in an infinite square well goes from one n, say na to another, nb where na = nb +1 the wavelength of the photon emitted is 600nm. If it goes from the state nc = na +1 = nb +2 to the state nb the wavelength of the photon is 250nm.
a) What is na? Show all work.
b) What is L, the dimension of the square well? Show all work.
When an electron in an infinite square well goes from one n, say na to another,...
A proton is in an infinite square well of dimension L = 2fm (i.e. 2 ×10-15m). a) What is the ground state energy? Show all work. b) What would be the energy of a photon emitted if the proton in the well went from the n=2 state to the n=1 state? Show all work.
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?
The force that binds protons and neutrons in the nucleus of an atom is often approximated by an infinite square well potential. A proton is confined in an infinite square well of width 1 x 10^-14 m. Calculate the energy and wavelength of the photon emitted when the proton undergoes a transition from the first excited state (n = 2) to the ground state (n = 1). In what region of the electromagnetic spectrum does this wavelength belong? Show all...
An electron drops from the 8 to the 5 level of an infinite square well 1.000 nm wide. Athe energy ofthephoton ented Cve our anower m electronvoits evn B. Find the wavelength of the photon emitted. Give your answer in nanometres (nm)
1. Infinite potential quantum well. (1) Starting from the Schrödinger equation, please derive the quantized energy levels and wave functions for an infinite potential quantum well of width D 2 nm. (2) Photon emission wavelength: Please calculate the emitted photon wavelength if an electron falls from the n-2 state into n-l state inside this infinite potential quantum well. (3) Heisenberg uncertainty principle: For the n-2 state of an electron inside an infinite potential well, prove that the Heisenberg uncertainty relation...
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
clear hand written please 2. The nuclear potential that binds protons and neutrons in the nucleus of an atom is often approximated by a square well. Imagine a proton confined in an infinite square well of a length10nm. What is the wavelength of a photon emitted when this proton moves from the n-2 energy state to the n-1 energy state. In what region of the electromagnetic spectrum is this photon and does this make sense in terms of nuclear spectroscopy?...
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?
1) An electron in a hydrogen atom goes from the n = 7 to the n = 4 state. What is the wavelength of the emitted photon?
An electron in a hydrogen atom goes from the n = 7 to the n = 4 state. What is the wavelength of the emitted photon?