The particle on a ring is a useful model for the motion of electrons around the coronene ring. See a 2-D representation of the coronene molecule below; the dashed line around the periphery of the molecule indicates the electron path. We may treat the structure as a circular ring of radius 420 pm, with 14 electrons in the conjugated system moving along the perimeter of the ring. Assuming that, in the ground state of the molecule, each state is occupied by two electrons, (a) calculate the energy and angular momentum of an electron in the highest occupied level, and (b) calculate the frequency of radiation that can induce a transition between the highest occupied and lowest unoccupied levels.

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Q: How many orientations are possible in n = 4?

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Q: To what orbitals may a 5f electron in a hydrogenic atom make spectroscopic transitions?

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Q: Consider the four electron configurations for atoms: 1s22s22p63s23p64s23d10…

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Techniques and applications of quantum theory

Quantum theory, often known as quantum physics, is the foundation of modern physics and encompasses the nature and behavior of matter and energy at the atomic and molecular levels. As the exact nature and behavior of atomic and subatomic particles are impossible to determine, the laws of classical physics do not apply to this discipline. As a result, quantum field theory is primarily based on assumptions and probabilities.