Optical constants determination of thermally-evaporated undoped lead iodide films from transmission spectra using the puma method

الملخص EN

0.7-μm thick lead iodide (PbI2) films thermally-evaporated on glass substrates held at different temperatures ?s (35 − 195 ℃) are studied.

Typical observed X-ray diffraction (XRD) patterns and scanning electron microscope (SEM) micrographs of such PbI2 films prepared at high substrate temperatures ?s (> 100 ℃) were found to be crystalline with hexagonal 2H-polytypic structure with the c-axis perpendicular to the surface.

The room-temperature normal-incidence transmittance ?exp(?) of the PbI2 films has been measured as a function of spectral wavelength ? in the range 300 − 1100 nm and was used to retrieve the spectral dependence of their optical constants ?(?) and ?(?) using the Pointwise Unconstrained Minimization Approach (PUMA) method.

The energy variation of the absorption coefficient ?(?)(= 4π?(?)⁄?) of the PbI2 films in the region of strong optical absorption was analyzed using various interband transition models and was found to be reasonably described by an approximate power-law relation ?ℎ? ∝ (ℎ? − ?)?, with ? = 2 and ? g opt ≅ 2.2 eV(±2%) (Tauc interband dielectric model, where ?gopt is the optical bandgap energy).

But, it is more remarkable for ? = 1⁄2 and ?g ≅ 2.45 eV(±2%) (direct interband transition model) over a broader spectral range.

For ?s > 100 ℃ and in the transparent and weak absorption regions, the PUMA-retrieved ?(?) − ? data of the PbI2 films was found to fit the Wemple-DiDomenico (WDD) dispersion formula, with bandgap energy parameter ?o ≅ 3.9 eV ≅ 2 ?gopt, single-oscillator energy strength ?d ≅ 19 eV and static index of refraction ? o ≅ 2.5.

Analysis of the data in the absorption tail to Urbach formula yielded an Urbach-tail parameter ΓU that decreased with increasing substrate temperature to a value around 75 meV at the high substrate temperature side.

These results indicate that using film growth temperatures beyond 100 ℃ leads to an enhancement in the crystallinity of the PbI2 films and reduces band tailing.