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5.3 Atomic Emission Spectra and the Quantum Mechanical Model 1 > Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. Chapter 5 Electrons In Atoms 5.1 Revising the Atomic Model 5.2 Electron Arrangement in Atoms 5.3 Atomic Emission Spectra and the Quantum Mechanical Model
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5.3 Atomic Emission Spectra and the Quantum Mechanical Model 2 > Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. The Nature of Light Light consists of electromagnetic waves. Amplitude - wave’s height from zero to the crest. Wavelength ( ) - distance between the crests. Frequency ( ) - number of wave cycles to pass a given point per unit of time. Light and Atomic Emission Spectra
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5.3 Atomic Emission Spectra and the Quantum Mechanical Model 3 > Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. Speed of Light = wavelength x frequency c = 2.998 10 8 m/s. c = Light and Atomic Emission Spectra The Nature of Light
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5.3 Atomic Emission Spectra and the Quantum Mechanical Model 4 > Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. Frequency ( ) and wavelength ( ) are inversely proportional. As wavelength increases, frequency decreases. Light and Atomic Emission Spectra
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5.3 Atomic Emission Spectra and the Quantum Mechanical Model 5 > Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. Sample Problem 5.2 Calculating the Wavelength of Light Calculate the wavelength of the yellow light emitted by a sodium lamp if the frequency of the radiation is 5.09 × 10 14 Hz (5.09 × 10 14 /s).
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5.3 Atomic Emission Spectra and the Quantum Mechanical Model 6 > Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. Sample Problem 5.2 c =
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5.3 Atomic Emission Spectra and the Quantum Mechanical Model 7 > Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. What is the frequency of a red laser that has a wavelength of 676 nm?
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5.3 Atomic Emission Spectra and the Quantum Mechanical Model 8 > Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. What is the frequency of a red laser that has a wavelength of 676 nm? c = = = = 4.43 10 14 m c 2.998 10 8 m/s 6.76 10 –7 /s c =
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5.3 Atomic Emission Spectra and the Quantum Mechanical Model 9 > Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. Light and Atomic Emission Spectra The Nature of Light When sunlight passes through a prism, different wavelengths separate into a spectrum of colors. -Red has the longest wavelength and lowest frequency. -Violet has the shortest wavelength (highest frequency)
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5.3 Atomic Emission Spectra and the Quantum Mechanical Model 10 > Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. Light and Atomic Emission Spectra Wavelength (m) Low energy ( = 700 nm) High energy ( = 380 nm) Frequency (s -1 ) 3 x 10 6 3 x 10 12 3 x 10 22 10 2 10 -8 10 -14
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5.3 Atomic Emission Spectra and the Quantum Mechanical Model 11 > Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. Light and Atomic Emission Spectra
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5.3 Atomic Emission Spectra and the Quantum Mechanical Model 12 > Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. The amount of radiant energy (E) of a single quantum absorbed or emitted by a body is proportional to the frequency of radiation ( ). h = Plank’s Constant = 6.626 x 10 -34 J·s The Quantization of Energy E = h The Quantum Concept and Photons
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5.3 Atomic Emission Spectra and the Quantum Mechanical Model 13 > Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. Photoelectric effect: electrons are ejected when light of sufficient frequency shines on a metal. Light quanta are called photons Energy of a photon = E = h x ⋎ The Quantum Concept and Photons
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5.3 Atomic Emission Spectra and the Quantum Mechanical Model 14 > Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. Calculating the Energy of a Photon What is the energy of a photon of microwave radiation with a frequency of 3.20 × 10 11 /s? Sample Problem 5.3
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5.3 Atomic Emission Spectra and the Quantum Mechanical Model 15 > Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. E = h = (6.626 10 –34 J·s) (3.20 10 11 /s) = 2.12 10 –22 J Sample Problem 5.3
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5.3 Atomic Emission Spectra and the Quantum Mechanical Model 16 > Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. What is the frequency of a photon whose energy is 1.166 10 –17 J?
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5.3 Atomic Emission Spectra and the Quantum Mechanical Model 17 > Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. What is the frequency of a photon whose energy is 1.166 10 –17 J? E = h == h E = = = 1.760 10 16 Hz E 6.626 10 –34 J h 1.166 10 –17 J·s
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5.3 Atomic Emission Spectra and the Quantum Mechanical Model 18 > Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. END OF 5.3 EM Waves https://www.youtube.com/watch?v=cfXzwh3KadE Fireworks https://www.youtube.com/watch?v=nPHegSulI_M https://www.youtube.com/watch?v=cfXzwh3KadE https://www.youtube.com/watch?v=nPHegSulI_M https://www.youtube.com/watch?v=cfXzwh3KadE https://www.youtube.com/watch?v=nPHegSulI_M
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