How many electrons in an atom can have the designation 1 p 6 dx^2-y^2, 4 f, 7 py, 2 s, n=3 ?

Name: Problem 80, Chapter 2: Chemistry An Atoms First Approach
Uploaded: 2020-07-02T22:21:18-08:00
Duration: 1 min 55 s
Channel: Joanna Josey
Description: How many electrons in an atom can have the designation 1 p 6 dx^2-y^2, 4 f, 7 py, 2 s, n=3 ?

step 1 In this example, we're being asked to figure out how many electrons an atom can have in a variet

How many electrons in an atom can have the designation 1 p 6...

Key Concepts

Quantum Numbers

Quantum numbers are the set of numerical values that describe the energy, shape, and orientation of an electron’s orbital as well as its spin in an atom. The primary quantum numbers include the principal quantum number (n), which denotes the electron’s energy level; the angular momentum quantum number (l), which determines the subshell (or orbital type such as s, p, d, f); the magnetic quantum number (m), which indicates the orientation of the orbital in space; and the spin quantum number (s), which specifies the electron's spin direction.

Subshell and Orbital Designations

Subshell designations use letters like s, p, d, and f to denote the shape and angular momentum characteristics of the orbitals. Each letter corresponds to a specific value of the angular momentum quantum number (l) and determines the number of orbitals available within that subshell. For example, an s subshell (l = 0) has one orbital, a p subshell (l = 1) has three, a d subshell (l = 2) has five, and an f subshell (l = 3) has seven orbitals.

Electron Configuration

Electron configuration refers to the arrangement of electrons in an atom’s orbitals. This concept explains how electrons fill the orbitals in a way that minimizes the energy of the atom, typically following rules such as the Aufbau principle, which directs electrons to occupy the lowest energy orbitals first. It provides insight into the chemical behavior of the element.

Pauli Exclusion Principle

The Pauli Exclusion Principle is a fundamental rule in quantum mechanics which states that no two electrons in an atom can have the same set of four quantum numbers. This principle governs the electron configuration in an atom by limiting the number of electrons that can occupy a single orbital, thereby affecting the overall distribution of electrons across the various orbitals.

Principal Quantum Number (n)

The principal quantum number, denoted by n, indicates the energy level or shell in which the electron resides in an atom. It plays a significant role in determining the size and energy of an orbital. Electrons with the same value of n belong to the same main energy level, and the possible orbitals within that level can have different shapes and orientations.

Transcript

Please give Ace some feedback