Physics (5th Edition)
5th Edition
ISBN: 9780321976444
Author: James S. Walker
Publisher: PEARSON
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Question
Chapter 31, Problem 58PCE
(a)
To determine
The number of different quantum numbers that are possible, when the number of shells is
2
(b)
To determine
The number of different quantum numbers that are possible, when the number of shells is
3
(c)
To determine
The number of different quantum numbers that are possible, when the number of shells is
4
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An electron is in a state with n = 3.What are (a) the number of possible values of , (b) the number of possible values of ML , (c) the number of possible values of ms, (d) the number of states in the n = 3 shell, and (e) the number of subshells in the n = 3 shell?
Quantum numbers arise naturally from the mathematics used to describe the possible states of an electron in an atom. The four quantum numbers, the principal quantum number (?),(n), the angular momentum quantum number (?),(?), the magnetic quantum number (??),(m?), and the spin quantum number (?s)(ms) have strict rules which govern the possible values.
Identify all allowable combinations of quantum numbers for an electron.
A. ?=4,n=4, ?=1,?=1, ??=2,m?=2, ?s=−1/2ms
B.?=3,n=3, ?=−1,?=−1, ??=1,m?=1, ?s=−1/2ms
C.?=5,n=5, ?=2,?=2, ??=2,m?=2, ?s=+1/2ms
D.?=3,n=3, ?=3,?=3, ??=1,m?=1, ?s=−1/2ms
E.?=2,n=2, ?=1,?=1, ??=1,m?=1, ?s=0ms
F. ?=3,n=3, ?=1,?=1, ??=1,m?=1, ?s=+1/2
(a) List all possible sets of quantum numbers (n, l, ml , ms) for the n = 3 shell, and determine the number of electrons that can be in the shell and each of its subshells. (b) Show that the number of electrons in the shell equals 2n2 and that the number in each subshell is 2(2l + 1) .
Chapter 31 Solutions
Physics (5th Edition)
Ch. 31.1 - Prob. 1EYUCh. 31.2 - Prob. 2EYUCh. 31.3 - Prob. 3EYUCh. 31.4 - Prob. 4EYUCh. 31.5 - Prob. 5EYUCh. 31.6 - Prob. 6EYUCh. 31.7 - Prob. 7EYUCh. 31 - Prob. 1CQCh. 31 - Prob. 2CQCh. 31 - Prob. 3CQ
Ch. 31 - Prob. 4CQCh. 31 - Prob. 5CQCh. 31 - Prob. 6CQCh. 31 - Prob. 7CQCh. 31 - Prob. 8CQCh. 31 - Prob. 9CQCh. 31 - Prob. 1PCECh. 31 - Prob. 2PCECh. 31 - Prob. 3PCECh. 31 - Prob. 4PCECh. 31 - Prob. 5PCECh. 31 - Prob. 6PCECh. 31 - Prob. 7PCECh. 31 - Prob. 8PCECh. 31 - Prob. 9PCECh. 31 - Prob. 10PCECh. 31 - Prob. 11PCECh. 31 - Prob. 12PCECh. 31 - Prob. 13PCECh. 31 - Prob. 14PCECh. 31 - Prob. 15PCECh. 31 - Prob. 16PCECh. 31 - Prob. 17PCECh. 31 - Prob. 18PCECh. 31 - Prob. 19PCECh. 31 - Prob. 20PCECh. 31 - Prob. 21PCECh. 31 - Prob. 22PCECh. 31 - Prob. 23PCECh. 31 - Prob. 24PCECh. 31 - Prob. 25PCECh. 31 - Prob. 26PCECh. 31 - Prob. 27PCECh. 31 - Prob. 28PCECh. 31 - Prob. 29PCECh. 31 - Prob. 30PCECh. 31 - Prob. 31PCECh. 31 - Prob. 32PCECh. 31 - Prob. 33PCECh. 31 - Prob. 34PCECh. 31 - Prob. 35PCECh. 31 - Prob. 36PCECh. 31 - Prob. 37PCECh. 31 - Prob. 38PCECh. 31 - Prob. 39PCECh. 31 - Prob. 40PCECh. 31 - Prob. 41PCECh. 31 - Prob. 42PCECh. 31 - Prob. 43PCECh. 31 - Prob. 44PCECh. 31 - Prob. 45PCECh. 31 - Prob. 46PCECh. 31 - Prob. 47PCECh. 31 - Prob. 48PCECh. 31 - Prob. 49PCECh. 31 - Prob. 50PCECh. 31 - Prob. 51PCECh. 31 - Prob. 52PCECh. 31 - Give the electronic configuration for the ground...Ch. 31 - Prob. 54PCECh. 31 - Prob. 55PCECh. 31 - Prob. 56PCECh. 31 - The configuration of the outer electrons in Ni is...Ch. 31 - Prob. 58PCECh. 31 - Prob. 59PCECh. 31 - Prob. 60PCECh. 31 - Prob. 61PCECh. 31 - Prob. 62PCECh. 31 - Prob. 63PCECh. 31 - Prob. 64PCECh. 31 - Prob. 65PCECh. 31 - Prob. 66PCECh. 31 - Prob. 67PCECh. 31 - Prob. 68GPCh. 31 - Prob. 69GPCh. 31 - Prob. 70GPCh. 31 - Prob. 71GPCh. 31 - Prob. 72GPCh. 31 - Prob. 73GPCh. 31 - Prob. 74GPCh. 31 - Prob. 75GPCh. 31 - Prob. 76GPCh. 31 - Prob. 77GPCh. 31 - Prob. 78GPCh. 31 - Prob. 79GPCh. 31 - Prob. 80GPCh. 31 - Prob. 81GPCh. 31 - Prob. 82GPCh. 31 - Prob. 83GPCh. 31 - Prob. 84PPCh. 31 - Prob. 85PPCh. 31 - Prob. 86PPCh. 31 - Prob. 87PPCh. 31 - Prob. 88PPCh. 31 - Prob. 89PP
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- (a) Using the Pauli exclusion principle and the rules relating the allowed values of the quantum numbers (n,l,ml,ms), prove that the maximum number of electrons in a subshell is 2n2. (b) In a similar manner, prove that the maximum number of electrons in a shell is 2n2.arrow_forwardFor n = 2, write all the possible sets of quantum numbers (n, l, m, ms).arrow_forwardWhen the principal quantum number is n = 5, how many different values of (a) ℓ and (b) mℓ are possible?arrow_forward
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- The quantum mechanical model of the hydrogen atom requires that if the principal quantum number is 6, there will be how many different permitted orbital quantum number(s)?arrow_forward10arrow_forwardWhich functions is symmetric? antisymmetric? asymmetric?a) ψ(x) = cos(x)b) ψ(x) = 1/sin(x)c) ψ(x) = (13 + x)(13−x)d) ψ(x) = exp(−ax2)e) ψ(x) = F(x)F(−x)f) ψ(x) = x3(x−4)arrow_forward
- A One-Dimensional Atom By substituting the wave function y(x) = Axe-bx into Eq. 7.2, show that a solution can be obtained only for b = 1/a, and find the ground-state energy.arrow_forwardDetermine the number of different sets of quantum numbers possible for n = 6 shell. Group of answer choices 72 12 56 13arrow_forwardTwo electrons in the same atom have n = 3 and ℓ = 1. (a) List the quantum numbers for the possible states of the atom. (b) How many states would be possible if the exclusion principle did not apply to the atom?arrow_forward
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