2 1C.3 The energy levels of a particle of mass m in a two-dime sional square box of side L are given by (n₁² + n₂²)h²/8mL². Do of these levels have the same energy? If so, find the values of th quantum numbers n, and n₂ for the first three cases.

2 1C.3 The energy levels of a particle of mass m in a two-dime sional square box of side L are given by (n₁² + n₂²)h²/8mL². Do of these levels have the same energy? If so, find the values of th quantum numbers n, and n₂ for the first three cases.

Chemistry: The Molecular Science

5th Edition

ISBN:9781285199047

Author:John W. Moore, Conrad L. Stanitski

Publisher:John W. Moore, Conrad L. Stanitski

Chapter5: Electron Configurations And The Periodic Table

Section: Chapter Questions

Problem 34QRT: Spectroscopists have observed He+ in outer space. This ion is a one-electron species like a neutral...

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Concept explainers

Quantum Chemistry

Quantum chemistry deals with the properties of chemical systems and their reactions. The branch of chemistry which is more concerned with quantum chemistry is physical chemistry. It is a more sophisticated field of theoretical physics which is concerned towards the application of physical concepts towards various chemical aspects such as, formation of atoms, chemical structure descriptions, chemical bond strength, hybridization, conjugation etc. Quantum chemistry mainly studies the various states i.e., ground state, excited state, transition states of the individual atoms or molecules taking place during any chemical reaction. The laws of motion explained by various scientists, which are termed as “classical mechanics” were not acceptable in terms of electrons, protons, atoms, light etc. Thus, a new theory named “quantum mechanics” emerged to understand the basic framework of various atomic and subatomic particles.

Question

100%

1C.3

what is meant by 210 p
gen
onal
=4
um
nal
4 to th
box of length 100. pm to predict the wavelength of radiat
emitted when the electron falls from the level with n =
with n = 1. (b) Repeat the calculation for the transition fro
n = 4 to n = 2.
2
1C.3 The energy levels of a particle of mass m in a two-dime
sional square box of side L are given by (n₁² + n₂2²)h²/8mL². Doar
of these levels have the same energy? If so, find the values of t
quantum numbers n, and for the first three cases.
1₂
1C4 Refer to Exercise 1C.3. If one side of the box is twice that
the other, the energy levels are given by (n,²/L2 + n2²/L₂²) × ²8

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