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physical chemistry problem: please help!! Quantum dots (QDs) are a new class of

ID: 957354 • Letter: P

Question

physical chemistry problem: please help!!

Quantum dots (QDs) are a new class of molecule that exhibit totally unique optical properties compared to traditional fluorophores. They are spherical inorganic crystals and their basic properties can be understood as a three-dimensional extension of the particle in a box problem. Assuming an infinite potential outside the QD, the normalized wavefunction of a QD electron in its first excited state is Psi(r,theta,Phi) = (1/2PiR)^1/2sin(Pir/R/r) sin® where r is the radial coordinate and R is the radius of the QD. For a QD electron described by the above wavefunction, calculate (a) its average radius, (b) its most probable radius, and (c) its energy eigenvalue.

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