Which of the following represents a possible set of quantum numbers for an electron in an atom?

Question

BlackTom AI · Accepted Answer

Begin by identifying the general rules for quantum numbers in the hydrogen-like atom: n must be a positive integer with n ≥ 1; l ranges from 0 to n−1; ml ranges from −l to +l in integer steps; and ms is either +1/2 or −1/2.
Option 1: n = 2, l = 2, ml = −1, ms = −1/2. Here l = 2 is not allowed for n = 2 because l must be between 0 and n−1 (which would be 0 or 1). This makes the set invalid.
Option 2: n = 4, l = 3, ml = 0, ms = 0. While n = 4 is fine and l = 3 is within 0 to 3, the magnetic spin quantum number ms cannot be 0; it must be ±1/2. Therefore this set is invalid.
Option 3: n = 3, l = 0, ml = 1, ms = +1/2. With l = 0, ml can only be 0 (since ml ranges from −l to +l). An ml of 1 is not permitted, so this option is invalid.
Option 4: n = 3, l = 4, ml = +4, ms = −1/2. Here l = 4 exceeds the maximum allowed for n = 3 (which is l ≤ 2). This makes the combination impossible, so it is invalid.
Option 5: n = 2, l = 1, ml = −1, ms = −1/2. This set satisfies all rules: n = 2 is allowed, l = 1 is within 0 to n−1, ml = −1 lies within −l to +l, and ms = −1/2 is a valid spin quantum number. Hence this is a possible set of quantum numbers.

Which of the following represents a possible set of quantum numbers for an electron in an atom?单项选择题

类似问题

There are [Fill in the blank] orbitals in a 5p subshell. The angular momentum quantum number (l) of these orbitals is [Fill in the blank] . (Input numbers only.)

Identify the quantum numbers n [Fill in the blank] and l [Fill in the blank] and the number of radial [Fill in the blank] and angular [Fill in the blank] nodes for the following simulated orbital cross-section:

Identify the quantum numbers n [Fill in the blank] and l [Fill in the blank] and the number of radial [Fill in the blank] and angular [Fill in the blank] nodes for the following simulated orbital cross-section:

Orbitals with the same principal quantum number (n) are said to be in the same shell.

Which quantum number must be the same for the electrons in the three orbitals shown below? 17A

A possible set of values for the four quantum numbers for the highest-energy electron in V4+ (Z = 23) is:

Match the quantum numbers needed for each of the following 1: determination of the energy of an electron in a many electron atom 2: determination of the size of an orbital 3: determination of the orientation of an orbital 4: determination of the general shape of an orbital

更多留学生实用工具

智能学习助手

风格化写作助手

论文查重助手

文献引用助手

课堂转译助手

课堂笔记助手

Quiz搜索助手

学校历年真题

智能刷题助手

智能匹配练习

希望你的学习变得更简单