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Physics and the Quantum Mechanical Model
Neon advertising signs are
formed from glass tubes bent in various shapes. An electric
current passing through the gas in each glass tube makes the gas glow with its own
characteristic color. You will
learn why each gas glows with a specific color of light.
Physics and the Quantum Mechanical Model >
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Light
Light
How are the wavelength and frequency of light related?
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Physics and the Quantum Mechanical Model >
Light
•
The amplitude of a wave is the wave’s height from zero to the crest.•
The wavelength, represented by (the Greek letter lambda), is the distance between thecrests.
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Physics and the Quantum Mechanical Model >
Light
•
The frequency, represented by (the Greek letter nu), is the number of wave cycles topass a given point per unit of time.
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The SI unit of cycles per second is called a hertz (Hz).Slide 6 of 38
Physics and the Quantum Mechanical Model >
Light
The wavelength and frequency of light are inversely proportional to each other.
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Light
The product of the frequency and
wavelength always equals a constant (c), the speed of light.
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Physics and the Quantum Mechanical Model >
Light
According to the wave model, light consists of electromagnetic waves.
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Electromagnetic radiation includes radio waves, microwaves, infrared waves, visible light, ultraviolet waves, X-rays, and gamma rays.•
All electromagnetic waves travel in a vacuum at a speed of 2.998 108 m/s.Slide 9 of 38
Physics and the Quantum Mechanical Model >
Light
Sunlight consists of light with a continuous range of wavelengths and frequencies.
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When sunlight passes through a prism, the different frequencies separate into aspectrum of colors.
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In the visible spectrum, red light has thelongest wavelength and the lowest frequency.
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Physics and the Quantum Mechanical Model >
Light
The electromagnetic spectrum consists of radiation over a broad band of wavelengths.
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Physics and the Quantum Mechanical Model >
Light
Simulation 3
SAMPLE PROBLEM
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SAMPLE PROBLEM
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SAMPLE PROBLEM
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SAMPLE PROBLEM
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Practice Problems for Sample Problem 5.1
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Atomic Spectra
Atomic Spectra
What causes atomic emission spectra?
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Physics and the Quantum Mechanical Model >
Atomic Spectra
When atoms absorb energy, electrons move into higher energy levels. These electrons then lose energy by emitting light when they return to lower energy levels.
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Physics and the Quantum Mechanical Model >
Atomic Spectra
A prism separates light into the colors it
contains. When white light passes through a prism, it produces a rainbow of colors.
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Physics and the Quantum Mechanical Model >
Atomic Spectra
When light from a helium lamp passes
through a prism, discrete lines are produced.
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Atomic Spectra
The frequencies of light emitted by an
element separate into discrete lines to give the atomic emission spectrum of the
element.
5.3
Physics and the Quantum Mechanical Model >
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An Explanation of Atomic Spectra
An Explanation of Atomic Spectra
How are the frequencies of light an atom emits related to changes of electron
energies?
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Physics and the Quantum Mechanical Model >
An Explanation of Atomic Spectra
In the Bohr model, the lone electron in the hydrogen atom can have only certain specific energies.
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When the electron has its lowest possible energy, the atom is in its ground state.•
Excitation of the electron by absorbing energy raises the atom from the ground state to an excited state.•
A quantum of energy in the form of light is emitted when the electron drops back to a lower energy level.Slide 24 of 38
Physics and the Quantum Mechanical Model >
An Explanation of Atomic Spectra
The light emitted by an electron moving from a higher to a lower energy level has a frequency directly proportional to the energy change of the electron.
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Physics and the Quantum Mechanical Model >
An Explanation of Atomic Spectra
The three groups of lines in the hydrogen spectrum correspond to the transition of
electrons from higher energy levels to lower energy levels.
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Physics and the Quantum Mechanical Model >
An Explanation of Atomic Spectra
Animation 6
Physics and the Quantum Mechanical Model >
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Quantum Mechanics
Quantum Mechanics
How does quantum mechanics differ from classical mechanics?
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Physics and the Quantum Mechanical Model >
Quantum Mechanics
In 1905, Albert Einstein successfully
explained experimental data by proposing that light could be described as quanta of energy.
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The quanta behave as if they were particles.•
Light quanta are called photons.In 1924, De Broglie developed an equation that predicts that all moving objects have
wavelike behavior.
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Physics and the Quantum Mechanical Model >
Quantum Mechanics
Today, the wavelike properties of beams of electrons are useful in magnifying objects.
The electrons in an electron microscope have much smaller wavelengths than visible light. This allows a much clearer enlarged image of a very small object, such as this mite.
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Physics and the Quantum Mechanical Model >
Quantum Mechanics
Simulation 4
Simulate the photoelectric effect. Observe the results as a function of radiation frequency
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Physics and the Quantum Mechanical Model >
Quantum Mechanics
Classical mechanics adequately
describes the motions of bodies much larger than atoms, while quantum
mechanics describes the motions of
subatomic particles and atoms as waves.
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Physics and the Quantum Mechanical Model >
Quantum Mechanics
The Heisenberg uncertainty principle states that it is impossible to know exactly
both the velocity and the position of a particle at the same time.
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This limitation is critical in dealing with small particles such as electrons.•
This limitation does not matter for ordinary-sized object such as cars or airplanes.Slide 33 of 38
Physics and the Quantum Mechanical Model >
Quantum Mechanics
The Heisenberg Uncertainty Principle
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Section Quiz
-or-Continue to: Launch:
Assess students’ understanding of the concepts in Section
5.3 Section Quiz.
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5.3 Section Quiz.
1. Calculate the frequency of a radar wave with a wavelength of 125 mm.
a. 2.40 109 Hz
b. 2.40 1024 Hz
c. 2.40 106 Hz
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5.3 Section Quiz.
2. The lines in the emission spectrum for an element are caused by
a. the movement of electrons from lower to higher energy levels.
b. the movement of electrons from higher to lower energy levels.
c. the electron configuration in the ground state.
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5.3 Section Quiz.
3. Spectral lines in a series become closer together as n increases because the
a. energy levels have similar values.
b. energy levels become farther apart.
c. atom is approaching ground state.
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Physics and the Quantum Mechanical Model >
Concept Map 5
Concept Map 5 Solve the