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Chapter7

Chapter7 - Chapter 7 Quantum Theory Chem 6A Section D 1...

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Chem 6A Michael J. Sailor, UC San Diego Chapter 7: Quantum Theory Chem 6A, Section D Oct 13, 2011 Chem 6A Michael J. Sailor, UC San Diego 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 1 2

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Chem 6A Michael J. Sailor, UC San Diego 3 Chem 6A Michael J. Sailor, UC San Diego Problem: Fraunhofer Diffraction Track spacing = d Incident laser beam beams in phase CD surface CD tracks 3 4
Chem 6A Michael J. Sailor, UC San Diego diffracted beam Problem: Fraunhofer Diffraction Track spacing = d beams in phase CD surface θ 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 5 6

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Chem 6A Michael J. Sailor, UC San Diego 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 Discrete vs Continuous Spectra 600 550 500 450 400 Wavelength, nm White Light Spectrum Ne Line Spectrum 7 8
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) 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 Chem 6A Michael J. Sailor, UC San Diego Chapter 7 (cont) Chem 6A, Section D Oct 18, 2011 9 10

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Chem 6A Michael J. Sailor, UC San Diego Announcements: Thurs Oct 20 quiz (#4) will be the periodic table quiz Practice quiz available online at: http://sailorgroup.ucsd.edu/Chem6A_sailor/BlankPeriodicTable.pdf (You will also need to name 20 of the elements in that table, given the element symbol) Bring student ID Thurs Oct 27 quiz (#5) will be on Chapter 6 Chem 6A Michael J. Sailor, UC San Diego Quiz 3 score histogram 11 12
Chem 6A Michael J. Sailor, UC San Diego 0 10 20 30 40 50 60 70 80 90 F D C- C C+ B- B B+ A- A A+ number of students Grades so far (after quizzes 1-3) Chem 6A Michael J. Sailor, UC San Diego Advice on studying (1) Read the chapters (2) Do the homework (3) Do related homework problems (in the book or in the online ARIS resource) (4) Be sure you understand how to do all the example problems worked out in class (5) Visit helproom, section, or my office hours to answer questions or problems you can’t solve 13 14

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Chem 6A Michael J. Sailor, UC San Diego 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: Chem 6A Michael J. Sailor, UC San Diego Comparison of light wavelengths to hair
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