Chapter7-1

Sailor uc san diego tan xy solution diffraction of

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Unformatted text preview: ight from a CD grating diffracted beam (n=2) diffracted beam (n=1) specular beam dsinθ = 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 y tanθ = x/y 7 Chem 6A Michael J. Sailor, UC San Diego Weds, Oct 20 8 Chem 6A Michael J. Sailor, UC San Diego Discrete vs Continuous Spectra White Light Spectrum 400 Ne Line Spectrum 450 500 550 Wavelength, nm 600 9 Chem 6A Michael J. Sailor, UC San Diego Visible Light Wavelengths and Energies: R O Y G B I V Color Infrared Red Orange Yellow Green Blue Indigo Violet Ultraviolet Wavelength >800 nm 630 nm 590 nm 560 nm 510 nm 440 nm 420 nm 400 nm <350 nm Energy 2.0 eV 2.1 eV 2.2 eV 2.4 eV 2.8 eV 3.0 eV 3.1 eV eV = electron Volts 10 Chem 6A Michael J. Sailor, UC San Diego Frequency Spectra-Ne gas vs violin Intensity 1 Violin G audible spectrum 0.8 0.6 0.4 0.2 0 0 500 1000 1500 2000 2500 3000 3500 4000 Frequency (Hz) Intensity 1 Ne gas visible spectrum 0.8 0.6 0.4 0.2 0 3 10 14 3.5 1014 4 1014 4.5 1014 5 1014 5.5 1014 6 1014 Frequency (Hz) 11 Chem 6A Michael J. Sailor, UC San Diego Problem: Energy-Wavelength conversion When a copper ion is heated to 1200 °C in a fireworks explosion, it emits blue light at 450 nm. To what energy does this correspond, in electron volts? Set up but do not solve. 12 Chem 6A Michael J. Sailor, UC San Diego Solution: Energy-Wavelength conversion hc E= = λ 6.6261 x 10-34 J.s 3 x 108 m s 450 nm 109 nm m eV 1.6022 x 10-19 J = 2.76 eV 13 Chem 6A Michael J. Sailor, UC San Diego Problem: Energy-Wavelength conversion When a copper ion is heated to 1200 °C in a fireworks explosion, it emits blue light at 450 nm. To what energy does this correspond, in Joules? Set up but do not solve. 14 Chem 6A Michael J. Sailor, UC San Diego Solution: Energy-Wavelength conversion hc E= = λ 6.6261 x 10-34 J.s 3 x 108 m s 450 nm 109 nm m = 4.42 x 10-19 J 15 Chem 6A Michael J. Sailor, UC San Diego Problem: Particle-wave duality of matter What is the wavelength...
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This note was uploaded on 08/31/2011 for the course CHEM 6A taught by Professor Pomeroy during the Winter '08 term at UCSD.

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