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Ev~λ2Eλ and Nv~λ3Eλ.
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It should be noted that the value of 0.36 eV given by Lehmann11 is the separation of the two half-amplitude points. Δv corresponds to the distance from λ0-1 to the corresponding points where the amplitude has fallen to 1/e or 37% of the maximum value. In terms of the usual plot as a function of wavelength, these two wavelengths are given by λ1,2 =λ0/(1±λ0ΔV) and λ2-λ1 = 2λ02Δv/[1- (λ0Δv)2]≃2λ02Δv. Thus for constant Δv, as for the (Zn,Cd)S:Cu family, the bandwidth for the usual type of plot increases as λ0 increases.
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The effect of the emission wavelength on the efficiency has been included in a paper by C. W. Jerome EJ. Electrochem. Soc. 100, 586 (1953)] concerning the application of phosphors to fluorescent lamps.
The writer is indebted to G. Kemeny, G. R. Hagen, and D. W. Morgan for computer programming.
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Only Cu gives electroluminescent phosphors.
Cu can introduce two different emission bands (of equal width) in ZnS. Space does not permit further discussion of this point.
H. W. Leverenz, An Introduction to the Luminescence of Solids (John Wiley & Sons, Inc., New York, 1950), p. 199.