An elementary theory for determination of precise and reliable work function via photon energy and photoelectric yield

An elementary theory of using the definition of work function in photoelectric effect to determine precise and reliable work function by contributing frequency to optical-electric yield is investigated in this paper. On account of the theory of Fermi-Dirac distribution as well as the definition of work function proposed by Einstein in photoelectric effect, a representative mathematical approach is applied to analyze the frequency-based optical-electric yield in quantitatively terms. Supplementing applications to In14 cluster and three kinds of metals, the simulations agree well with the observed spectra (photoelectric yield-frequency). At the same time, the threshold frequency of light-dependent the work function is theoretically explained successfully via one equation so that the work function can be predicted precisely and reliably. The consequences provide that the formalism pursed in this paper, which is straight forward and practical, could play a significant role in studying metal cluster spectroscopy. The experimental results in this paper may hopefully promote overall analysis on theoretical basis. They may further analyze the usability of bulk-derived models to cluster photo-ionization activity, and the conversion of molecular or atomic form into surface photoemission form.