Homework Statement
Six of the electrons from benzene C6H6 form a delocalized conjugated π-bond. We will model it as a "particle on a ring" with ring radius a, particle (electron) mass m, and "moment of inertia" I = ma2. After obtaining the energy diagram, we will fill in these 6 electrons...
Homework Statement
The wavelength of the radiation emitted when the outermost electron of Al (Aluminum) falls from the 4s state to the ground state is about 395 nm. Calculate the energy separation (in joules) between these two states in the Al atom. Draw an energy level diagram of the states...
Homework Statement
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Please redraw this figure by assuming that an electron can have spin quantum number ms = +1/2 (arrow up), ms = 0 (marked as "I"), or ms = -1/2 (arrow down). It is important to clearly state your arguments/reasoning.
http://s30.postimg.org/jz7tfeha9/wow.png
Homework...
Homework Statement
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What is the energy of an STM tunneling electron in the following state? This "quantum square" model can be seen as a "particle in a 2-D box" problem.
<Refer to the picture below>
The protrusions are Fe atoms and the surface is Cu(111).
Given that the radius of an Fe atom...
Oh, my mistake. It's suppose to be n=2⇒n=1. If the oscillation period thing is incorrect, that pretty much tears down my whole argument.
On another thought, I also know that if there are more nodes in the 1-D box, then there is a higher energy and higher energy equals higher frequency. However...
Homework Statement
The "particle in a box" is the simplest quantum system. Despite this, it still reveals a lot of important new quantum features. Please use the "particle in a 1-D box" model to explain the reason why when the size of a quantum dot gets smaller, the wavelength of the emitted...