The k-Fibonacci Group and Periods of the k-step Fibonacci Sequences

The effects of Sr-substitution in Ba2SmTi2Nb3O15 ceramics: structural study, optical properties, and complex impedance spectroscopy

“…Specifically, the activation energy of singly ionized vacancies typically falls within the range of 0.3 to 0.5 eV, while for doubly ionized oxygen vacancies, ranges from 0.6 to 1.2 eV. 14,63,64 Consequently, it can be concluded that the E a values for all samples are associated with the presence of doubly ionized oxygen vacancies.…”

Studies of Structural, Optical, and Electrical Properties of Eco‐Friendly Complex Ferroelectrics: BaTiO3–Bi0.5Na0.5TiO3

“…With the increase in frequency, the dipoles with large relaxation time do not respond and hence gradually some polarization processes filter out which decreases the dielectric value. [ 31 ] The high resistance grain boundary is responsible for a high dielectric constant at a lower frequency and the low resistance grain effect is responsible for a low dielectric value at a higher frequency. The synthesized materials show a low dielectric constant value that can be related to the high porosity of the samples ( Table 3 ).…”

“…The change in successful to unsuccessful hops ratio leads to dispersive conductivity of the material and also causes different activation energy in different regions of the material. [ 31 ]…”

“…The change in successful to unsuccessful hops ratio leads to dispersive conductivity of the material and also causes different activation energy in different regions of the material. [31] Figure 6b illustrates the AC electrical conductivity versus inverse absolute temperature plots for all four compounds, i.e., (Ba 1-x Bi x/2 Na x/2 )TiO 3 (where x = 0, 0.05, 0.1, 0.15) at various frequencies. As mentioned above, we can see here also conductivity increases with an increase in frequency, confirming LFDD nature.…”

On The Hyperbolic k-Mersenne And k-Mersenne-Lucas Octonions

“…Lucas, Jacobsthal, Jacobsthal-Lucas, Pell, Pell-Lucas, etc. numbers can be given as examples of these generalizations [2,5,8,14,15,[19][20][21]23].…”