Optical properties of very fine Al particles: Quantum size effect

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Abstract
The strong attenuation of the parallel-band absorption observed in very fine Al particles at 0.85 μm is interpreted in terms of a quantum mechanical size effect. Applying a quantum theoretical model, the dielectric constant for fine particles is calculated, and the effective dielectric constants for aggregated films are obtained classically from the Maxwell–Garnett theory. Calculated results of transmittance for Al blacks in the spectral range from 0.35 to 1.0 μm are found in very good agreement with experimental results.