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(Solved): Derive an angular momentum for monoatomic molecule Derive an angular momentum for diatomic molecule ...



Derive an angular momentum for monoatomic molecule Derive an angular momentum for diatomic molecule and composite system. Prove that angular momentum of a particle confined to the xy palne is quantized Neutrons have no electric charge, so they do not interact with the atomic electrons. Hence, they are very penetrating (e.g.,typically

10cm

in lead). Neutron diffraction was proposed in 1934, to exploit de Broglie's hypothesis about the wave nature of matter. Calculate the momentum and kinetic energy of a neutron whose wavelength is comparable to atomic spacing

(1.8\times 10^(-10)(m))

What is the Heisenberg Uncertainty Principle? Do position and momentum follow the uncertainty principle; why or why not? If they do, what is the minimum uncertainty in the velocity of an electron if it is known to be within

1.5nm

of a nucleus? What happens to the energy level spacing for a particle-in-a-box when

mL^(2)

becomes much larger than

h^(2)

? What does this result imply about the relevance of quantization of energy to baseballs in a box between the pitching mound and home plate? What implications does quantum mechanics have for the game of baseball in a world where

h

is so large that baseballs exhibit quantum effects? Describe the degeneracies of a two-dimensional box whose two sides have different lengths What is an operator? Define Hamiltonian operator? Show that the particle-in-a-box wavefunctions are not eigenfunctions of the momentum operator. What are the mutually commuting operators. Show by calculations. Demonstrate how the particle, as shown below, in 1-D box problem can extend to a particle in a

3D

. box.



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