Full set of Notes with Fill-Ins - San Jose State University

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Chem 155 Unit 6 Page 122 of 316DispersionDispersion characterizes the extent to which amonochromator separates (disperses) the differentwavelengths of light.Angular dispersion:For a given incident angle, i, how quickly does thecolor change as you change the viewing angle r?In other words – what is the derivative of λwith respect to r?nλ =λ(r) =dλ / dr =dλ / drd ( sin(i) + sin(r)d ( sin(i) + sin(r) / nd/dr[sin(i)] + d/dr[sin(r)] / nd cos(r) / nPage 122 of 316
Chem 155 Unit 6 Page 123 of 316Angular dispersion:dr nn =dλ=d cos(r)d =Reciprocal linear dispersion: dy ≈ Fdrr =orderGroovespacing ongratingAngle ofdiffractionλ =wavelengthsin(r) ≈ rsin(r) ≈ y/FdλD -1 ≡ =dydλFdrD -1 =d cos(r) / nFPage 123 of 316
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