In EMW absorption, the complex permittivity
εr (
εr =
ε′ -
jε″) and complex permeability
μr (
μr =
μ′ -
jμ″) play critical roles. The real parts (
ε′ and
μ′) represent the ability to store electromagnetic energy, while the imaginary parts (
ε″ and
μ″) reflect the dissipation capability. The dielectric and magnetic loss capacities can be quantitatively characterized by the dielectric loss tangent (tan
δₑ =
ε″/
ε′) and magnetic loss tangent (tan
δm =
μ″/
μ′), respectively. Both ZC and ZCO nanofibers are dielectric-dominated materials, with nearly constant
μr values (
μ′ ≈ 1,
μ″ ≈ 0) [
27]. Therefore, dielectric loss constitutes the primary mechanism for electromagnetic energy dissipation in these materials, primarily encompassing conduction loss and polarization loss.
Fig. 7 shows the frequency-dependent complex permittivity and dielectric loss tangent (tan
δe) of both types of nanofibers [
28]. Compared with ZC nanofibers, the introduction of low-permittivity ZrO
2 in ZCO nanofibers results in lower values of both
ε′ and
ε″ (
Fig. 7a and
d) [
29]. The gradual decrease in
ε′ with increasing frequency indicates typical dielectric dispersion behavior, suggesting the presence of dipole polarization [
30], [
31]. This is primarily attributed to the relaxation that occurs when the dipoles within the sample fail to respond synchronously to the frequency variations of the alternating electromagnetic field [
32]. According to Debye theory,
ε″ is closely related to electrical conductivity [
25]. The incorporation of ZrO
2 reduces the originally excessive electrical conductivity of ZC, leading to an overall decrease in
ε″. The dielectric loss tangent are plotted in
Fig. 7a and d. The ZC nanofibers exhibit a relatively high tan
δe value, indicating their strong capability for dielectric loss [
29]. To gain deeper insight into the internal dielectric loss mechanisms, the Cole-Cole semicircle trends for ZCO nanofibers are plotted according to the Debye theory and presented in Fig. S6, where each relaxation process corresponds to a semicircular arc, indicative of distinct dielectric relaxation events [
33]. In the Cole-Cole plots (Fig. S6), all samples except ZCO-700-5 exhibit an extended tail in the low-frequency region, indicative of significant conduction loss resulting from high electrical conductivity [
34]. Meanwhile, all samples display depressed semicircular arcs, revealing the coexistence of multiple polarization loss mechanisms in the nanofibers arising from various relaxation processes, including interfacial and dipolar polarization [
35]. Interfacial polarization originates from the numerous heterogeneous interfaces induced by the Turing-like structures, whereas dipolar polarization is associated with defects and oxygen-containing functional groups introduced during the oxidation process. These defects serve as polarization centers, promoting dipole formation and subsequent polarization. Furthermore, under an alternating electromagnetic field, the oxygen-containing functional groups and inherent magnetic moments within the material undergo continuous oscillation and internal friction, thereby enhancing dipolar polarization loss [
36].