Consider an electron in the state n=4, l=3, m=2, s=1/2. Part A: In what shell is...
Consider an electron in the state n=4, l=3, m=2, s=1/2.
Part A: In what shell is this electron located?
Part B:In what subshell is this electron located?
Part C: How many other electrons could occupy the same subshell as this electron?
Part D: What is the orbital angular momentum L of this electron?
Part E: What is the z component of the orbital angular momentum of this electron, Lz?
Part F: What is the z component of the spin angular momentum of this electron, Sz?
Homework Answers
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Consider an electron in the state n=4, l=3, m=2, s=1/2.
Part A: In what shell is...
An electron in a sodium atom is in the M shell. Determine the maximum value the...
An electron in a sodium atom is in the M shell. Determine the maximum value the z component of its angular momentum could have. (Use the following as necessary: ?.) Lz = ____?
An electron is in the n = 3 state. What is the smallest possible value for...
An electron is in the n = 3 state. What is the smallest possible value for the angle between the z component of the orbital angular momentum and the orbital angular momentum?
Which of the following set of quantum numbers (ordered n,l,ml,ms) are possible for an electron in...
Which of the following set of quantum numbers (ordered
n,l,ml,ms) are possible for an electron in an atom?
Quantum Number Rules Learning Goal: To learn the restrictions on each quantum number. Quantum numbers can be thought of as labels for an electron. Every electron in an atom has a unique set of four quantum numbers. The principal quantum number n corresponds to the shell in which the electron is located. Thus n can therefore be any integer. For example, an...
1: Part A: Two electrons occupy the 2s shell in a Be atom (Z = 4)....
1: Part A: Two electrons occupy the 2s shell in a Be atom (Z = 4). What are the possible quantum numbers J for the total angular momentum of this two-electron system, neglecting any contributions from the nucleus or 1s level? Part B: Calculate the energy required to cause an electron from the 2s shell to jump to each of the 2p, 3s, 3p, and 3d states. E1 for Be is 9.3 eV. En = (-Z2E1)/n2. One of the listed...
1.Which of the following is not a valid set of quantum numbers? n = 1, l...
1.Which of the following is not a valid set of quantum numbers? n = 1, l = 0, ml = 0, ms = +1/2 n = 3, l = 1, ml = -1, ms = -1/2 n = 9, l = 4, ml = -3, ms = +1/2 n = 6, l = 5, ml = 4, ms = -1/2 n = 3, l = 3, ml = -2, ms = +1/2 2. Type the chemical symbol for the ION...
Problem 1. (20 points) Consider two electrons, each with spin angular momentum s,-1/2 and orbital angular momentum ,-1....
Problem 1. (20 points) Consider two electrons, each with spin angular momentum s,-1/2 and orbital angular momentum ,-1. (a) (3 points) What are the possible values of the quantum number L for the total orbital angular momentum L-L+L,? (b) ( 2 points) What are the possible values of the quantum number S for the total spin angular momentum S-S,+S, (c) Points) Using the results from (a) and (b), find the possible quantum number J for the total angular momentum J-L+S....
The function ψ2px-1(ψ2,1,1+ψ2,1-1) describes an electron in the 2px state of a hydrogen-like atom (with unspecified...
The function ψ2px-1(ψ2,1,1+ψ2,1-1) describes an electron in the 2px state of a hydrogen-like atom (with unspecified spin). Functions ψη..my are normalized egenfuntions of the energy operator (A), the square of angular momentum operator (12), and the z-component of angular momentum operator (Lz), that is 4. E1 a) Show that the function ψ2px is an eigen function of both the energy operator and the square of angular momentum operator. Find the corresponding eigenvalues. b) Determine the expected value and the uncertainty...
What is the maximum number of electrons that can occupy the n = 3 shell of...
What is the maximum number of electrons that can occupy the n = 3 shell of an atom? 0 0 0 0 Using the convention of letters to refer to the orbital quantum number, write down the ground-state electron configuration of sodium (Na) where Z = 11. What is the electron configuration of the outermost shell?
Consider the hydrogen atom and its eigenstates, omitting any effects of fine structure (spin- orb...
Consider the hydrogen atom and its eigenstates, omitting any effects of fine structure (spin- orbit coupling). For the state y21-1 give the a. expectation value of the energy b. c. expectation value of the z-component of the orbital angular momentum d. expectation value of the y-component of the orbital angular momentum e. Now replace the electron with a muon which has a mass mu200 me. What is the ratio expectation value of the total orbital angular momentum of the ground...
For hydrogen atoms, the 2pz state (n = 2, l = 1, m = 0) is...
For hydrogen atoms, the 2pz state (n = 2, l = 1, m = 0) is
described by wavefunction
a. What are the values of the total angular momentum L and its
z-component Lz?
b. Show that this wavefunction is normalized.
You may need the following integral:
We were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this image
Which of the following set of quantum numbers (ordered
n,l,ml,ms) are possible for an electron in an atom?
Quantum Number Rules Learning Goal: To learn the restrictions on each quantum number. Quantum numbers can be thought of as labels for an electron. Every electron in an atom has a unique set of four quantum numbers. The principal quantum number n corresponds to the shell in which the electron is located. Thus n can therefore be any integer. For example, an...
Problem 1. (20 points) Consider two electrons, each with spin angular momentum s,-1/2 and orbital angular momentum ,-1. (a) (3 points) What are the possible values of the quantum number L for the total orbital angular momentum L-L+L,? (b) ( 2 points) What are the possible values of the quantum number S for the total spin angular momentum S-S,+S, (c) Points) Using the results from (a) and (b), find the possible quantum number J for the total angular momentum J-L+S....
The function ψ2px-1(ψ2,1,1+ψ2,1-1) describes an electron in the 2px state of a hydrogen-like atom (with unspecified spin). Functions ψη..my are normalized egenfuntions of the energy operator (A), the square of angular momentum operator (12), and the z-component of angular momentum operator (Lz), that is 4. E1 a) Show that the function ψ2px is an eigen function of both the energy operator and the square of angular momentum operator. Find the corresponding eigenvalues. b) Determine the expected value and the uncertainty...
What is the maximum number of electrons that can occupy the n = 3 shell of an atom? 0 0 0 0 Using the convention of letters to refer to the orbital quantum number, write down the ground-state electron configuration of sodium (Na) where Z = 11. What is the electron configuration of the outermost shell?
Consider the hydrogen atom and its eigenstates, omitting any effects of fine structure (spin- orbit coupling). For the state y21-1 give the a. expectation value of the energy b. c. expectation value of the z-component of the orbital angular momentum d. expectation value of the y-component of the orbital angular momentum e. Now replace the electron with a muon which has a mass mu200 me. What is the ratio expectation value of the total orbital angular momentum of the ground...
For hydrogen atoms, the 2pz state (n = 2, l = 1, m = 0) is
described by wavefunction
a. What are the values of the total angular momentum L and its
z-component Lz?
b. Show that this wavefunction is normalized.
You may need the following integral:
We were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this image
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