63 O Figure 40-25 is an energy-level di-agram for a fictitious three-dimensionalinfinite potential well that contains oneelectron. The number of degenerateE (/8ml")14Triplestates of the levels are indicated: "non"12Nonmeans nondegenerate (which includes theground state) and "triple" means 3 states.If we put a total of 22 electrons in the well,what multiple of h²18mL? gives the energyof the ground state of the 22-electron sys-tem? Assume that the electrostatic forcesbetween the electrons are negligible.11Triple6.TripleTriple3.GroundFigure 40-25Problem 63.

Answered: Image /qna-images/answer/fa4faba0-c44d-4a4b-b7a0-819742725b7a.jpg

Answered: 63 O Figure 40-25 is an energy-level…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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The difference in energy between allowed oscillator states in H2O molecules is 0.454 eV. What is the oscillation frequency (in Hz) of this molecule? Hz
iii) Consider a 2D square potential energy well with sides L (length) containing six electrons. The potential energy is infinite at the sides and zero inside. The h? single-particle energies are given by 8mL +n), where n and ny are integers. If a seventh electron is added to the system when it is in its ground state find the least energy the additional electron can have?
1. An electron is in the spin state = A (³1) X = A (b) Calculate the expectations values (Sx), (Sy) and (S₂)
An electron is confined to a one-dimensional region in which its ground-state (n = 1) energy is 1.45 eV. (a) What is the length L of the region? nm(b) What energy input is required to promote the electron to its first excited state? eV
-2r/rB dr. Find the probability that the r2e The radial probabiliity density for an electron in the 1s orbital is given by P(r) electron is found between 1.22 rg and (1.22+0.001)r;. Give you answer to two decimal places in exponential notation. Round your answer to 2 decimal places. Add your answer
In the subshell e = 3, (a) what is the greatest (most positive) me value, (b) how many states are available with the greatest mn, value, and (c) what is the total number of states in the subshell? (a) Number Units (b) Number Units (c) Number Units
7. One electron is trapped in a one-dimensional square well potential with infinitely high sides. a. If you have a probe that has a width for electron detection Ax = 0.00350L in the x direction, for the first excited state ( n =2), what is the probability that the electron is found in the probe when it is centered at x = L/4, (hint: you can use an approximation for this - you do not need to do an integral)? b. What is the average number of electrons that you would detect using the probe described in part "b." centered at x = L/4, ifthe electron is in the first excited state (n = 2) for each experiment and you repeat the experiment N, =100,000 times?
M6
: Write out the electronic configuration of the ground state for fluorine (Z = 9). 015²25²2pl 15²2522p³ 15²25²2p4 O 16²25²2p5
The electron moves in an infinitely deep. potential well with a width of l=0.15 nm. a) Calculate the minimum (i.e. ground state) speed of the electron. V₁=? b) Calculate the reaction force that the electron causes when it moves back and forth and collides with the other wall of the well adiabatically (thermally insulated). F=? c) Calculate the frequency of the electron's back and forth motion. f=?
B- What is the maximum number of electrons that can be associated with the following set of quantum numbers where n-3, if 1-1 and if 1 - 2 ?
Which of the following observations is not related to the Pauli Exclusion Principle? O the electronic wave function is antisymmetric with respect to particle exchange O angular momentum is conserved in quantum mechanical systems O if two electrons are in the same orbital, they are spin-paired Ospatial orbitals can contain no more than two electrons

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