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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.

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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 the

crests.

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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 to

pass a given point per unit of time.

The SI unit of cycles per second is called a hertz (Hz).

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Physics and the Quantum Mechanical Model >

Light

The wavelength and frequency of light are inversely proportional to each other.

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Physics and the Quantum Mechanical Model >

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.

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.

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Physics and the Quantum Mechanical Model >

Light

Sunlight consists of light with a continuous range of wavelengths and frequencies.

When sunlight passes through a prism, the different frequencies separate into a

spectrum of colors.

In the visible spectrum, red light has the

longest 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

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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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Physics and the Quantum Mechanical Model >

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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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Physics and the Quantum Mechanical Model >

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

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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.

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.

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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

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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.

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.

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.

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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

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