Modern Physics
3rd Edition
ISBN: 9781111794378
Author: Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher: Cengage Learning
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Chapter 9, Problem 23P
To determine
The electronic configuration among
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Suppose that an atom has (a) 4, (b) 5 electrons in different orbitals. What are the possible values of the total
spin quantum number S? What is the multiplicity in each case.
You have the excited states of He with the configuration 2p1 3p1, in which the two electrons
have different principal quantum numbers. The electrons are coupled by a Russell-Saunders
spin-orbit coupling term in the Hamiltonian, § ' Ľ · S, where § ' is a positive constant.
1. What are the possible term symbols for the energy eigenstate states associated with this
He configuration? Show your work.
Write down the ground state electronic structure for Rb by inserting the correct integer
numbers in the boxes below. Leave a box empty, or insert a zero if you want to indicate
no electrons occupy that specific orbital. You can look at the Periodic Table (Section 5.4 of
Unit 21) to establish the number of electrons in Rb.
1s
2s
2p
3s
3p
4s
3d
4p
5s
4d
Select from the list below one element that you expect would have similar chemical
properties to Rb.
○ Li
Mg
OCI
B
S
As
Chapter 9 Solutions
Modern Physics
Ch. 9.2 - Prob. 1ECh. 9.3 - Prob. 2ECh. 9 - Prob. 1QCh. 9 - Prob. 2QCh. 9 - Prob. 3QCh. 9 - Prob. 4QCh. 9 - Prob. 5QCh. 9 - Prob. 6QCh. 9 - Prob. 7QCh. 9 - Prob. 8Q
Ch. 9 - Prob. 9QCh. 9 - Prob. 11QCh. 9 - For a one-electron atom or ion, spinorbit coupling...Ch. 9 - Prob. 14QCh. 9 - Prob. 1PCh. 9 - Prob. 2PCh. 9 - Prob. 4PCh. 9 - The force on a magnetic moment z in a nonuniform...Ch. 9 - Consider the original Stern–Gerlach experiment...Ch. 9 - Prob. 7PCh. 9 - Consider a right circular cylinder of radius R,...Ch. 9 - Prob. 9PCh. 9 - Prob. 10PCh. 9 - Prob. 11PCh. 9 - Prob. 12PCh. 9 - Prob. 13PCh. 9 - Prob. 14PCh. 9 - Prob. 15PCh. 9 - Prob. 16PCh. 9 - Prob. 17PCh. 9 - Prob. 18PCh. 9 - Prob. 21PCh. 9 - Prob. 22PCh. 9 - Prob. 23PCh. 9 - Prob. 24PCh. 9 - Prob. 25P
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- Calculate the energy difference between the ms = 1/ 2 (“spin up”) and ms = - 1 /2 (“spin down”) levels of a hydrogen atom in the 1s state when it is placed in a 1.45 T magnetic field in the negative z@direction. Which level, ms = 1 /2 or ms = - 1/ 2 , has the lower energy?arrow_forwardPlease don't provide handwritten solution...arrow_forwardYou are working on determining the angle that separates two hybridized orbitals. In the process of determining the coefficients in front of the various atomic orbitals, you align the first one along the z-axis and the second in the x/z-plane (so o = 0). The second hybridized orbital was determined to be: W2 = R1s + R2p, sin 0 + R2p, cos 0 Determine the angle, 0, in degrees to one decimal place (XX.X) that separates these two orbitals. Assume that the angle will be between 0 and 90 degrees.arrow_forward
- In atomic physics a term means Select an answer and submit. For keyboard navigation, use the up/down arrow keys to select an answer. a All electronic configurations of an atom with the same values of {n, 1} (list of shell and subshells occupied) b с d e All configurations with the same {n, 1} and total orbital angular momentum quantum number L All configurations with the same {n, l}, the same L and the same total spin quantum number S All configurations with the same {n, l}, the same L, S and the same total angular momentum quantum number J All configurations with the same {n, l}, and the same L, S, Jand the same total angular momentum along an axis with quantum number MJarrow_forwardMeasurements made on the line spectrum emitted by a certain atom of intermediate Z show that the ratio of the separation energies between three adjacent levels of increasing energy in a particular multiplet is approximately 3 to 5 (that is the energy difference between the second and the third member of the multiplet is 5/3 of the energy difference between the first and the second member of the multiplet.) a) What are the j' quantum number that can be assigned to these states? b) What is the l' quantum number that can be assigned to these states? c) What is the s' quantum number that can be assigned to these states?arrow_forwardWrite down for yourself the expression for the radial distribution function of a 2s electron in a hydrogenic atom and determine the radius in Angstroms at which the electron is most likely to be found. Assume the species has an atomic number of 2. (Ans. in Agstroms)arrow_forward
- The term symbols for a nd² electron configuration are ¹S, ¹D, ¹G, ³P, and ³F. (a) Calculate the value of J associated with each of these term symbols. (You will be asked to match the answers on the quiz.) (b) According the Hund's rule, which of these term symbols represents the ground state? (c) Palladium has an electronic configuration of [Kr] 4d¹0- what would be the ground state term symbol for this element?arrow_forwardb) One of the n = 5 terms of hydrogen is split by spin-orbit coupling into two levels with an energy difference of 0.0039 cm ¹. Determine the orbital angular momentum quantum number, I, for this state and predict the analogous splitting in Li2+. The fine structure constant, a = 0.0072973.arrow_forwardSeveral absorption transitions between energy levels of Na are indicated in the figure below. Some of these are allowed and some are not. Find the four allowed absorption transitions and, by dragging and dropping a tick or a cross into the box next to the line representing each transition, indicate them in the figure. You need to put either a tick or a cross on all boxes. energy 3s 6d 6f бр 6s 5d 5f 5p 4d 4f 5s 4p 3d 4s 3p Complete the following paragraph: The diagram above shows that in Na, states with the same ʼn but different / quantum numbers have different energies. The effect responsible for this break-up in degeneracy in Na is referred to as Closed shells partially shield the outer electron angular momentum penetrate the closed- from the nucleus. Electrons with shell more and therefore 'see' a higher effective nuclear charge, feeling a stronger attractive force. Therefore, for a given n, the smaller / is, the lower the energy of the state.arrow_forward
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