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Chem 155 Unit 6 Page 124 of 316For monochromators the important factor is:Reciprocal Linear DispersionD -1 = dλ / dy = d cos(r) / nFWhat is dispersion?Consider a typical monochromator:d = “1000 lines / mm” r = 45° n = 1 F = 1mFirst – let’s get the units straight!d=F=d = 1/1000 mm = 10 -3 mm = 1 μm = 1000 nmF = 1m = 1000 mmD -1 = 1000 nm x 0.7 / 1 x 1000 mmD -1 = 0.700 nm / mmExit SlitFocal Plane0 100 200 300 400y / mm300 370 440 510 580Page 124 of 316λ / nm
Chem 155 Unit 6 Page 125 of 316Effective bandwidthThe combination of exit slit width and dispersiondetermine Δλ EFF – the effective bandwidth of themonochromator. Δλ EFF is a number, in units of nm,equal to the range of wavelengths that exit themonochromator at any one time.Δλ EFF = wD -1W = slit width in mmD -1 = dispersion in nm / mmΔλ EFF is controlled in part by:the exit slit width - wW = slit width in mmD -1 = dispersion in nm / mmΔλ EFF ≈15 nm300 400 500 600 700Δλ EFF ≈2 nm300 400 500 600 700Page 125 of 316λ / nm
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