Chapter7-1

Chapter7 1

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Unformatted text preview: Chapter 7: Quantum Theory 1 Chem 6A Michael J. Sailor, UC San Diego Mon, Oct 18 2 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 tanθ = x/y 3 Chem 6A Michael J. Sailor, UC San Diego Problem: Fraunhofer Diffraction Chem 6A Michael J. Sailor, UC San Diego Problem: Fraunhofer Diffraction CD tracks CD surface Chem 6A Michael J. Sailor, UC San Diego Problem: Fraunhofer Diffraction CD tracks CD surface Track spacing = d Chem 6A Michael J. Sailor, UC San Diego Problem: Fraunhofer Diffraction Incident laser beam CD tracks CD surface Track spacing = d Chem 6A Michael J. Sailor, UC San Diego Problem: Fraunhofer Diffraction Incident laser beam beams in phase CD tracks CD surface Track spacing = d Chem 6A Michael J. Sailor, UC San Diego Problem: Fraunhofer Diffraction CD surface Track spacing = d Chem 6A Michael J. Sailor, UC San Diego di ff ra ct ed be am Problem: Fraunhofer Diffraction CD surface Track spacing = d Chem 6A Michael J. Sailor, UC San Diego Problem: Fraunhofer Diffraction di ff ra ct ed be am θ CD surface Track spacing = d Chem 6A Michael J. Sailor, UC San Diego Problem: Fraunhofer Diffraction di ff ra ct ed be am θ beams in phase CD surface Track spacing = d Chem 6A Michael J. Sailor, UC San Diego di ff ra ct ed be am Problem: Fraunhofer Diffraction beams in phase CD surface θ Track spacing = d Chem 6A Michael J. Sailor, UC San Diego CD surface di ff Additional path traveled ra ct ed be am Problem: Fraunhofer Diffraction θ Track spacing = d Chem 6A Michael J. Sailor, UC San Diego Problem: Fraunhofer Diffraction d sinθ = nλ d = nλ/sinθ tanθ = (257 cm / 720 cm) θ = 0.3428 d = (1 x 530 nm) / sin(0.3428) = 1577 nm, or 1.577 micrometers 2) =) (n =1 am (n be am e d te d b am ac e fr act r be f di ffr la di ecu sp y Additional path traveled θ Track spacing = d Chem 6A Michael J. Sailor, UC San Diego tanθ = x/y Solution: Diffraction of l...
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