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. Part A What is the only possible value of me for an electron in an s orbital? The principal quantum number n corresponds to the shell in which the electron is located. Thus n Express your answer numerically. can therefore be any integer. For example, an electron in the 2p subshell has a principal quantum number of n =2 because 2p is in the second shell. • View Available Hint(s) The azimuthal or angular momentum quantum number l corresponds to the subshell in which the electron is located. s subshells are coded as 0, p subshells as 1, d as 2, and fas 3. For example, an electron in the 2p subshell has l = 1. As a rule, l can have integer values ranging from 0 to n –1. Submit Request Answer The magnetic quantum number me corresponds to the orbital in which the electron is located. Instead Part B of 2px, 2py, and 2pz, the three 2p orbitals can be labeled –1, 0, and 1, but not necessarily respectively. As a rule, me can have integer values ranging from -l to +l. What are the possible values of me for an electron in a d orbital? Express your answer numerically with sequential values separated by commas. • View Available Hint(s) The spin quantum number ms corresponds to the spin of the electron in the orbital. A value of 1/2 means an "up" spin, whereas -1/2 means a "down" spin.
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. Part A What is the only possible value of me for an electron in an s orbital? The principal quantum number n corresponds to the shell in which the electron is located. Thus n Express your answer numerically. can therefore be any integer. For example, an electron in the 2p subshell has a principal quantum number of n =2 because 2p is in the second shell. • View Available Hint(s) The azimuthal or angular momentum quantum number l corresponds to the subshell in which the electron is located. s subshells are coded as 0, p subshells as 1, d as 2, and fas 3. For example, an electron in the 2p subshell has l = 1. As a rule, l can have integer values ranging from 0 to n –1. Submit Request Answer The magnetic quantum number me corresponds to the orbital in which the electron is located. Instead Part B of 2px, 2py, and 2pz, the three 2p orbitals can be labeled –1, 0, and 1, but not necessarily respectively. As a rule, me can have integer values ranging from -l to +l. What are the possible values of me for an electron in a d orbital? Express your answer numerically with sequential values separated by commas. • View Available Hint(s) The spin quantum number ms corresponds to the spin of the electron in the orbital. A value of 1/2 means an "up" spin, whereas -1/2 means a "down" spin.
Chemistry: Principles and Reactions
8th Edition
ISBN:9781305079373
Author:William L. Masterton, Cecile N. Hurley
Publisher:William L. Masterton, Cecile N. Hurley
Chapter6: Electronic Structure And The Periodic Table
Section: Chapter Questions
Problem 26QAP: How many electrons in an atom can have the following quantum designation? (a) 1s (b) 4d, m l =0(c)...
Related questions
Question
![**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 electron in the \( 2p \) subshell has a principal quantum number of \( n = 2 \) because \( 2p \) is in the second shell.
The *azimuthal or angular momentum quantum number* \( \ell \) corresponds to the subshell in which the electron is located. \( s \) subshells are coded as 0, \( p \) subshells as 1, \( d \) as 2, and \( f \) as 3. For example, an electron in the \( 2p \) subshell has \( \ell = 1 \). As a rule, \( \ell \) can have integer values ranging from 0 to \( n - 1 \).
The *magnetic quantum number* \( m_\ell \) corresponds to the orbital in which the electron is located. Instead of \( 2p_x \), \( 2p_y \), and \( 2p_z \), the three \( 2p \) orbitals can be labeled \( -1 \), 0, and 1, but not necessarily respectively. As a rule, \( m_\ell \) can have integer values ranging from \( -\ell \) to \( +\ell \).
The *spin quantum number* \( m_s \) corresponds to the spin of the electron in the orbital. A value of \( 1/2 \) means an "up" spin, whereas \( -1/2 \) means a "down" spin.
---
**Part A**
What is the only possible value of \( m_\ell \) for an electron in an \( s \) orbital?
*Express your answer numerically.*
- [ ] View Available Hint(s)
\[ \text{Answer Box} \]
\[ \text{Submit} \quad \text{Request Answer} \]
---
**Part B**
What are the possible values of \( m_\ell \) for an electron in a \( d \) orbital?
*Express your answer numerically with sequential values separated by](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc4c42c42-1ff3-4e8e-81e8-c596083704e0%2F5f96a6cf-908c-404b-9a86-28cc7a73d0b9%2Fycoo5af_processed.png&w=3840&q=75)
Transcribed Image Text:**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 electron in the \( 2p \) subshell has a principal quantum number of \( n = 2 \) because \( 2p \) is in the second shell.
The *azimuthal or angular momentum quantum number* \( \ell \) corresponds to the subshell in which the electron is located. \( s \) subshells are coded as 0, \( p \) subshells as 1, \( d \) as 2, and \( f \) as 3. For example, an electron in the \( 2p \) subshell has \( \ell = 1 \). As a rule, \( \ell \) can have integer values ranging from 0 to \( n - 1 \).
The *magnetic quantum number* \( m_\ell \) corresponds to the orbital in which the electron is located. Instead of \( 2p_x \), \( 2p_y \), and \( 2p_z \), the three \( 2p \) orbitals can be labeled \( -1 \), 0, and 1, but not necessarily respectively. As a rule, \( m_\ell \) can have integer values ranging from \( -\ell \) to \( +\ell \).
The *spin quantum number* \( m_s \) corresponds to the spin of the electron in the orbital. A value of \( 1/2 \) means an "up" spin, whereas \( -1/2 \) means a "down" spin.
---
**Part A**
What is the only possible value of \( m_\ell \) for an electron in an \( s \) orbital?
*Express your answer numerically.*
- [ ] View Available Hint(s)
\[ \text{Answer Box} \]
\[ \text{Submit} \quad \text{Request Answer} \]
---
**Part B**
What are the possible values of \( m_\ell \) for an electron in a \( d \) orbital?
*Express your answer numerically with sequential values separated by
![**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 electron in the \( 2p \) subshell has a principal quantum number of \( n = 2 \) because \( 2p \) is in the second shell.
- **The azimuthal or angular momentum quantum number \( \ell \):** Corresponds to the subshell in which the electron is located. \( s \) subshells are coded as 0, \( p \) subshells as 1, \( d \) as 2, and \( f \) as 3. For example, an electron in the \( 2p \) subshell has \( \ell = 1 \). As a rule, \( \ell \) can have integer values ranging from 0 to \( n - 1 \).
- **The magnetic quantum number \( m_\ell \):** Corresponds to the orbital in which the electron is located. Instead of \( 2p_x \), \( 2p_y \), and \( 2p_z \), the three \( 2p \) orbitals can be labeled \( -1, 0, \) and 1, but not necessarily respectively. As a rule, \( m_\ell \) can have integer values ranging from \( -\ell \) to \( +\ell \).
- **The spin quantum number \( m_s \):** Corresponds to the spin of the electron in the orbital. A value of \( 1/2 \) means an "up" spin, whereas \( -1/2 \) means a "down" spin.
---
**Part C**
**Question:** Which of the following set of quantum numbers (ordered \( n, \ell, m_\ell, m_s \)) are possible for an electron in an atom?
*Check all that apply.*
1. \(-1, 0, 0, -1/2\)
2. \(3, 2, 0, -1/2\)
3. \(3, 2, 2, -1/2\)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc4c42c42-1ff3-4e8e-81e8-c596083704e0%2F5f96a6cf-908c-404b-9a86-28cc7a73d0b9%2Frpc06gb_processed.png&w=3840&q=75)
Transcribed Image Text:**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 electron in the \( 2p \) subshell has a principal quantum number of \( n = 2 \) because \( 2p \) is in the second shell.
- **The azimuthal or angular momentum quantum number \( \ell \):** Corresponds to the subshell in which the electron is located. \( s \) subshells are coded as 0, \( p \) subshells as 1, \( d \) as 2, and \( f \) as 3. For example, an electron in the \( 2p \) subshell has \( \ell = 1 \). As a rule, \( \ell \) can have integer values ranging from 0 to \( n - 1 \).
- **The magnetic quantum number \( m_\ell \):** Corresponds to the orbital in which the electron is located. Instead of \( 2p_x \), \( 2p_y \), and \( 2p_z \), the three \( 2p \) orbitals can be labeled \( -1, 0, \) and 1, but not necessarily respectively. As a rule, \( m_\ell \) can have integer values ranging from \( -\ell \) to \( +\ell \).
- **The spin quantum number \( m_s \):** Corresponds to the spin of the electron in the orbital. A value of \( 1/2 \) means an "up" spin, whereas \( -1/2 \) means a "down" spin.
---
**Part C**
**Question:** Which of the following set of quantum numbers (ordered \( n, \ell, m_\ell, m_s \)) are possible for an electron in an atom?
*Check all that apply.*
1. \(-1, 0, 0, -1/2\)
2. \(3, 2, 0, -1/2\)
3. \(3, 2, 2, -1/2\)
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