Give the values for n, l, and ml for (a) each orbital in the 3p subshell, (b) each orbital in the 4f subshell.

검증된 단계별 안내

insert step 1: Understand the quantum numbers involved. The principal quantum number (n) indicates the energy level, the azimuthal quantum number (l) indicates the subshell, and the magnetic quantum number (m_l) indicates the orientation of the orbital.

insert step 2: Identify the principal quantum number (n) for the 3p subshell. Since it is in the 3p subshell, n = 3.

insert step 3: Determine the azimuthal quantum number (l) for the p subshell. For p orbitals, l = 1.

insert step 4: Determine the possible values of the magnetic quantum number (m_l) for the p subshell. The values of m_l range from -l to +l, so for l = 1, m_l can be -1, 0, or +1.

insert step 5: List the quantum numbers for each orbital in the 3p subshell. The possible sets of quantum numbers are (n=3, l=1, m_l=-1), (n=3, l=1, m_l=0), and (n=3, l=1, m_l=+1).

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주요 개념

질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.

Quantum Numbers

Quantum numbers are a set of numerical values that describe the unique quantum state of an electron in an atom. There are four quantum numbers: the principal quantum number (n), the azimuthal quantum number (l), the magnetic quantum number (ml), and the spin quantum number (ms). For the 3p subshell, n indicates the energy level, l defines the subshell type, and ml specifies the orientation of the orbital.

Principal Quantum Number (n)

The principal quantum number (n) indicates the main energy level or shell of an electron in an atom. It can take positive integer values (1, 2, 3, ...), with higher values corresponding to higher energy levels and greater distances from the nucleus. For the 3p subshell, n is 3, indicating that the electrons are in the third energy level.

Azimuthal Quantum Number (l)

The azimuthal quantum number (l) defines the shape of the orbital and can take integer values from 0 to n-1. Each value of l corresponds to a specific subshell: l = 0 for s, l = 1 for p, l = 2 for d, and l = 3 for f. For the 3p subshell, l is 1, indicating that the orbitals have a dumbbell shape characteristic of p orbitals.