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Chapter 4
Arrangement of Electrons in Atoms
Table of Contents
Section 1 The Development of a New Atomic Model
Section 2 The Quantum Model of the Atom
Section 3 Electron Configurations
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Chapter 4
Section 1 The Development of a New
Atomic Model
Objectives
• Explain the mathematical relationship among the
speed, wavelength, energy and frequency of
electromagnetic radiation.
• Discuss the significance of the photoelectric effect
and the line-emission spectrum of hydrogen to the
development of the atomic model.
• Describe the Bohr model of the hydrogen atom.
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Chapter 4
Section 1 The Development of a New
Atomic Model
Properties of Light
The Wave Description of Light
• Electromagnetic radiation is a form of energy that
exhibits wavelike behavior as it travels through
space.
• Together, all the forms of electromagnetic radiation
form the electromagnetic spectrum.
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Chapter 4
Section 1 The Development of a New
Atomic Model
Wavelength and Frequency
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Chapter 4
Section 1 The Development of a New
Atomic Model
Properties of Light, continued
• Wavelength () is the distance between corresponding points
on adjacent waves.
• Frequency (v) is defined as the number of waves that pass a
given point in a specific time, usually one second.
• Energy (E) is the energy of a photon of light
• Amplitude (A) is the distance from the top of the top of a wave
to the bottom.
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Chapter 4
Section 1 The Development of a New
Atomic Model
Electromagnetic Spectrum
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Chapter 4
Visual Concepts
Electromagnetic Spectrum
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Visual Concept
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Chapter 4
Section 1 The Development of a New
Atomic Model
Properties of Light, continued
• Frequency and wavelength are mathematically related
to each other:
c = v
• In the equation, c is the speed of light (in m/s),  is the
wavelength of the electromagnetic wave (in m), and v
is the frequency of the electromagnetic wave (in s1).
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Chapter 4
Section 1 The Development of a New
Atomic Model
Properties of Light, continued
• Frequency and Energy are mathematically related to
each other:
E=hv
• In the equation, E is the energy of light (in Joules), h is
Planck’s constant 6.624x10-34 J-s, and v is the
frequency of the electromagnetic wave (in s1).
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Chapter 4
Section 1 The Development of a New
Atomic Model
The Photoelectric Effect
• The photoelectric effect refers to the emission
of electrons from a metal when light shines on
the metal.
The Particle Description of Light
• A quantum of energy is the minimum quantity of
energy that can be lost or gained by an atom.
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Chapter 4
Section 1 The Development of a New
Atomic Model
Photoelectric Effect
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Chapter 4
Visual Concepts
Photoelectric Effect
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Visual Concept
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Chapter 4
Visual Concepts
Quantization of Energy
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Visual Concept
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Chapter 4
Visual Concepts
Energy of a Photon
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Visual Concept
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Chapter 4
Section 1 The Development of a New
Atomic Model
The Hydrogen-Atom Line-Emission Spectrum
• The lowest energy state of an atom is its ground
state.
• A state in which an atom has a higher potential
energy than it has in its ground state is an
excited state.
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Chapter 4
Section 1 The Development of a New
Atomic Model
The Hydrogen-Atom Line-Emission Spectrum,
continued
• When investigators passed electric current
through a vacuum tube containing hydrogen gas
at low pressure, they observed the emission of a
characteristic pinkish glow.
• When a narrow beam of the emitted light was
shined through a prism, it was separated into
four specific colors of the visible spectrum.
• The four bands of light were part of what is
known as hydrogen’s line-emission spectrum.
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Chapter 4
Section 1 The Development of a New
Atomic Model
Hydrogen’s Line-Emission Spectrum
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Chapter 4
Visual Concepts
Absorption and Emission Spectra
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Visual Concept
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Chapter 4
Section 1 The Development of a New
Atomic Model
Bohr Model of the Hydrogen Atom
• Niels Bohr proposed a hydrogen-atom model that
linked the atom’s electron to photon emission.
• According to the model, the electron can circle the
nucleus only in allowed paths, or orbits.
• The energy of the electron is higher when the
electron is in orbits that are successively farther
from the nucleus.
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Chapter 4
Visual Concepts
Bohr Model of the Atom
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Visual Concept
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Chapter 4
Section 1 The Development of a New
Atomic Model
Bohr Model of the Hydrogen Atom, continued
• When an electron falls to a lower energy level, a
photon is emitted, and the process is called
emission.
• Energy must be added to an atom in order to move
an electron from a lower energy level to a higher
energy level. This process is called absorption.
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Chapter 4
Section 1 The Development of a New
Atomic Model
Photon Emission and Absorption
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Chapter 4
Visual Concepts
Comparing Models of the Atom
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Visual Concept
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