Low energy nuclear reactions (LNER) and CF anomaly, such as nuclear transmutations are occurred with a direct current flowing or forced gas permeation experiment through heterostructure: Pd/Au and Pd/CaO multilayered Pd. We have been concerned with quantum transportation of charged particles, e.g. electron and deuteron, which governed by tunnel resonance of the hypothetical lattices. In this study, we calculated the electron transmission coefficients on varying the applied electric field. Numerical calculation of quantum transport has been performed using T matrices of the one-dimensional (1D) structures. On calculation we postulated the corresponding heterostructure as superlattices (alternating sequence of potential barriers and wells) under the constant electric field. Moreover, the deviation of the periodicity of the potential barriers and wells was introduced to simulate more realistic interface. Both the results with superlattice and a little disturbed lattices showed power spectra, which means that on the occasion of CF charged particles transfer through the interface accompanied with quantum resonance same as tunnel resonance of superlattices. On view point of matter wave similar quantum resonance might occur even in the gas permeation experiment.