The transport qualities of the samples are critical for using them as a humidity sensor. Silver electrodes were plated on both sides of the disc-shaped sample for the electrical tests. The permittivity and electrical resistivity measurements were performed at room temperature (RT) with an Impedance Phase Analyzer (Wayne Kerr 6400P, 20 Hz–20 MHz). The influence of humidity on electrical properties was tested in an enclosed box at 25 degrees Celsius with a known relative humidity ranging from 0% to 97% RH. Figure 4 depicts the permittivity and electrical resistivity of CoCr2-xGdxO4 [x=0 and 0.02] dependent on frequency with or without the presence of humidity.
Fig 4(a) represents Variation of relative permittivity with frequency of doped and undoped samples. Further it reveals that the relative permittivity of the samples decreases with increasing in frequency and constant at higher side. This is the general behaviour of the ferrite system. In fact, we notice a massive permittivity of the order 107. In reality, the permittivity's behaviour can be classified based on frequency. For low frequencies (103 Hz), the real component of the dielectric constant increases with temperature, indicating thermal activation of charge carriers and so influencing polarisation. To understand this pattern, we use the Maxwell–Wagner double layer model, which was created for inhomogeneous structures. CoCr2-xGdxO4 at lower frequencies, the value of relative permittivity (ε′) is very high. It drops significantly at low frequencies and becomes nearly frequency-independent at high frequencies [26]. This type of dielectric behaviour in ferrites has been explained by the Maxwell-Wagner and Koops phenomenological theory [27-29]. Space charge polarisation is created by the material's inhomogeneous dielectric structure, according to the Maxwell and Wagner two layer model. A dielectric medium is formed in this notion by highly conducting grains separated by narrow weakly conducting grain boundaries. Grain borders are found to be more effective at low frequencies, whilst grains themselves are proven to be more effective at higher frequencies. Ferrites have a dielectric polarisation that is comparable to the conduction process. The electronic exchange between Cr2+ ions, Cr 3+ ions and Gd3+ ions causes local electron displacement in the direction of the applied electric field, which causes polarization in the spinel structure of CoCr2-xGdxO4. Polarization reduces as frequency increases until it reaches a fixed value. The decrease in ε′ with increasing frequency is owing to the fact that, above a certain frequency, the electronic exchange between Cr2+, Cr3+, and Gd3+ ions does not follow the frequency of the applied AC field. Electrons must pass via the boundaries of the good and weak conducting grains. Electrons collect and generate considerable space charge polarisation due to the grain boundaries. As a result, large values of the dielectric constant exist in the low frequency region. Electrons rapidly shift their direction of travel as frequency increases, impeding electron transit inside dielectric materials and limiting charge build-up at grain boundaries. Furthermore, it was discovered that the dielectric constant falls with increasing Gd3+ content. We've also seen how the dielectric constant rises with time
Fig 4(b) Variation of electrical resistivity with frequency of CoCr2-xGdxO4[x=Gd 0.00); and x=(Gd 0.02)]. It is worth noting that the electrical resistance varies according on the composition. It is discovered that the value of electrical resistivity decreases with decreasing crystallite size of samples, with the maximum value of resistivity achieved in the case of the sample with x = 0 having the highest granulation. The smaller grains result in a large no. of grain boundaries which act as the scattering center for the flow of electrons and therefore increase of resistivity (Kingry et al. 1976). Further the resistivity and dielectric constant behaves in an opposite manner. Electrical resistance reduces as frequency increases. Our findings show that the electrical resistivity of the samples is heavily impacted by the size of their crystallites.
All of the samples experience a drop as the frequency increases, which is expected. The electrical resistance on the higher side decreases with increasing frequency and eventually reaches zero.. The dispersion is greater on the low-frequency side, which might be attributed to differences in the concentrations of Cr3+, Cr2+ and Gd3+ ions in the various samples. The presence of a considerable amount of Cr2+ ions, which increase polarisation and conduction processes, may be responsible for the maximum dispersion seen in Gd3+ =0.02 samples. The hopping of charge carriers between Cr3+ and Cr2+ ions on octahedral sites can be used to characterise the CoCr2-xGdxO4 conduction process. Furthermore, humidity raises the permittivity and conductivity of the material by filling open pores with vapours, as expected. When compared to non-doped CoCr2O4, which has a high electrical resistivity, the Gd3+ substitution adds to a decrease in electrical resistivity, putting the material's resistivity into the measurable zone, which is beneficial for sensor applications [30].