Chapter7-1

# Chapter7-1 - Chapter 7 Quantum Theory 1 Chem 6A Michael J...

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Chem 6A Michael J. Sailor, UC San Diego Chapter 7: Quantum Theory 1

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Chem 6A Michael J. Sailor, UC San Diego Mon, Oct 18 2
Chem 6A Michael J. Sailor, UC San Diego 3 Problem: Diffraction of light from a CD grating A CD is held 720 cm from a wall. A 530 nm laser is diffracted from the surface, and the diffracted spot appears 257 cm from the specular beam. What is the track spacing on the CD? diffracted beam (n=2) diffracted beam (n=1) specular beam y tan θ = x/y

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Chem 6A Michael J. Sailor, UC San Diego Problem: Fraunhofer Diffraction
Chem 6A Michael J. Sailor, UC San Diego Problem: Fraunhofer Diffraction CD surface CD tracks

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Chem 6A Michael J. Sailor, UC San Diego Problem: Fraunhofer Diffraction Track spacing = d CD surface CD tracks
Chem 6A Michael J. Sailor, UC San Diego Problem: Fraunhofer Diffraction Track spacing = d Incident laser beam CD surface CD tracks

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Chem 6A Michael J. Sailor, UC San Diego Problem: Fraunhofer Diffraction Track spacing = d Incident laser beam beams in phase CD surface CD tracks
Chem 6A Michael J. Sailor, UC San Diego Problem: Fraunhofer Diffraction Track spacing = d CD surface

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Chem 6A Michael J. Sailor, UC San Diego diffracted beam Problem: Fraunhofer Diffraction Track spacing = d CD surface
Chem 6A Michael J. Sailor, UC San Diego diffracted beam Problem: Fraunhofer Diffraction Track spacing = d CD surface θ

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Chem 6A Michael J. Sailor, UC San Diego diffracted beam Problem: Fraunhofer Diffraction Track spacing = d beams in phase CD surface θ
Chem 6A Michael J. Sailor, UC San Diego diffracted beam Problem: Fraunhofer Diffraction Track spacing = d beams in phase CD surface θ

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Chem 6A Michael J. Sailor, UC San Diego diffracted beam Problem: Fraunhofer Diffraction Track spacing = d CD surface θ Additional path traveled
Chem 6A Michael J. Sailor, UC San Diego Problem: Fraunhofer Diffraction Track spacing = d θ Additional path traveled d sin θ = n λ d = n λ /sin θ tan θ = (257 cm / 720 cm) θ = 0.3428 d = (1 x 530 nm) / sin(0.3428) = 1577 nm, or 1.577 micrometers diffracted beam (n=2) diffracted beam (n=1) specular beam y tan θ = x/y

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Chem 6A Michael J. Sailor, UC San Diego 7 Solution: Diffraction of light from a CD grating dsin θ = n λ d = n λ /sin θ tan θ = (257 cm / 720 cm) θ = 0.3428 d = (1 x 530 nm) / sin(0.3428) = 1577 nm, or 1.577 micrometers diffracted beam (n=2) diffracted beam (n=1) specular beam y tan θ = x/y
Chem 6A Michael J. Sailor, UC San Diego Weds, Oct 20 8

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Chem 6A Michael J. Sailor, UC San Diego 9 Discrete vs Continuous Spectra 600 550 500 450 400 Wavelength, nm White Light Spectrum Ne Line Spectrum
Chem 6A Michael J. Sailor, UC San Diego 10 Color Wavelength Energy Infrared >800 nm R Red 630 nm 2.0 eV O Orange 590 nm 2.1 eV Y Yellow 560 nm 2.2 eV G Green 510 nm 2.4 eV B Blue 440 nm 2.8 eV I Indigo 420 nm 3.0 eV V Violet 400 nm 3.1 eV Ultraviolet <350 nm eV = electron Volts Visible Light Wavelengths and Energies:

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Chem 6A Michael J. Sailor, UC San Diego 0 0.2 0.4 0.6 0.8 1 0 500 1000 1500 2000 2500 3000 3500 4000 Intensity Frequency (Hz) 11 Frequency Spectra-Ne gas vs violin Violin G audible spectrum 0 0.2 0.4 0.6 0.8 1 3 10 14 3.5 10 14 4 10 14 4.5 10 14 5 10 14 5.5 10 14 6 10 14 Intensity Frequency (Hz) Ne gas visible spectrum
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