“…Moreover, the tangent loss (tan δ ) of the capacitors was detected using a portable digital LCRmeter (ESCORT ELC-133A model, Taiwan) by setting the instrument at 1.0 V and an alternative ac current voltage across Al electrodes of the capacitors. For this, we used eqn (4)–(6) as follows: 32–38
σ ac = 2π fε 0 ε ′tan δ
where C , d , A , f , ε ′, ε ′′, ε 0 , σ ac , and δ represent the capacitance (F), thickness (m), area of electrodes (m 2 ), applied frequency ( f , Hz), dielectric constant of dyes, imaginary dielectric constant, permittivity of the free space (8.854 × 10 −12 F m −1 ), ac conductivity (Ω −1 m −1 ), and loss factor of the capacitors, respectively.…”