The four quantum numbers (n, l, m l , m s ) which determine the energy of an electron in a hydrogen atom and in a many-electron atom, the size of an orbital, the shape of an orbital and the orientation of an orbital in space should be identified. Concept Introduction: The electron density gives the probability of finding an electron in a particular region in an atom. An atomic orbital is the region of three-dimensional space, defined by ψ 2 (the square of the wave function, ψ), where the probability of finding an electron is high. An atomic orbital can accommodate a maximum of two electrons. A wave function for an electron in an atom is called an atomic orbital; this atomic orbital describes a region of space in which there is a high probability of finding the electron. Energy changes within an atom are the result of an electron changing from a wave pattern with one energy to a wave pattern with a different energy (usually accompanied by the absorption or emission of a photon of light). Each electron in an atom is described by four different quantum numbers. The first three (n, l, m l ) specify the particular orbital of interest, and the fourth (m s ) specifies how many electrons can occupy that orbital.

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Chapter 7, Problem 7.52QP

Interpretation Introduction

Interpretation:

The four quantum numbers (n, l, m_l, m_s) which determine the energy of an electron in a hydrogen atom and in a many-electron atom, the size of an orbital, the shape of an orbital and the orientation of an orbital in space should be identified.

Concept Introduction:

The electron density gives the probability of finding an electron in a particular region in an atom. An atomic orbital is the region of three-dimensional space, defined by ψ² (the square of the wave function, ψ), where the probability of finding an electron is high. An atomic orbital can accommodate a maximum of two electrons.

A wave function for an electron in an atom is called an atomic orbital; this atomic orbital describes a region of space in which there is a high probability of finding the electron. Energy changes within an atom are the result of an electron changing from a wave pattern with one energy to a wave pattern with a different energy (usually accompanied by the absorption or emission of a photon of light).

Each electron in an atom is described by four different quantum numbers. The first three (n, l, m_l) specify the particular orbital of interest, and the fourth (m_s) specifies how many electrons can occupy that orbital.

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