Reflectivity of tin telluride in the infrared

H. R. Riedl, J. R. Dixon, R. B. Schoolar

The reflectivity of tin telluride at near-normal incidence and room temperature was measured at wavelengths from 1 to 200. Thirteen single-crystal samples with free-hole concentrations ranging from 4.8×1019 cm-3 to 4.8×1020 cm-3 were studied. In the wavelength range from 3 to 200, the results are well described by the classical theory of free-carrier dispersion. The free-carrier effective mass ms, free-carrier optical mobility opt, and optical dielectric constant, which are parameters of the classical theory, were determined from curve fitting. These parameters are shown to be carrier-concentration-dependent. The dependence of ms is indicative of a complex electronic band structure. The corresponding variation of is shown by a Kramers-Kronig-type analysis to be attributable to the Burstein shift of the fundamental absorption edge. For wavelengths less than 3, experimental reflectivities vary appreciably from those expected from free-carrier dispersion theory. It is shown that the deviations are the result of bound-carrier absorptions associated with the fundamental absorption edge. © 1967 The American Physical Society.

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Materials
Curve 1
Temperature K: ~298 Wavelength Range, μm: 0.230-2.65 Geometry θ' θ'': ~0° Reported Error, %: 2σ Composition (weight percent), Specifications, and Remarks: ZIRCONIUM SILICIDE, ZrSi₂; powder compacted at 35 300 psi; data extracted from smooth curve; MgO reference standard.
Curve 1
Temperature K: ~298 Wavelength Range, μm: 1.00-10.0 Geometry θ' θ'': 10° 10° Composition (weight percent), Specifications, and Remarks: p-type single crystal (1.0 mm thick); free hole concentration 4.9 x 10²⁰ cm⁻³; heat treated; polished and etched to flat and mirror-like surface; [Authors' designation: Sample A].
Curve 2
Temperature K: ~298 Wavelength Range, μm: 2.13-4.54 Geometry θ' θ'': 10° 10° Composition (weight percent), Specifications, and Remarks: Similar to the above specimen and conditions except free hole concentration 2.8 x 10²⁰ cm⁻³; [Authors' designation: Sample B].
Curve 3
Temperature K: ~298 Wavelength Range, μm: 2.11-10.9 Geometry θ' θ'': 10° 10° Composition (weight percent), Specifications, and Remarks: Similar to the above specimen and conditions except free hole concentration 2.5 x 10²⁰ cm⁻³; [Authors' designation: Sample C].
Curve 4
Temperature K: ~298 Wavelength Range, μm: 1.20-10.9 Geometry θ' θ'': 10° 10° Composition (weight percent), Specifications, and Remarks: Similar to the above specimen and conditions except free hole concentration 1.4 x 10²⁰ cm⁻³; [Authors' designation: Sample D].
Curve 5
Temperature K: ~298 Wavelength Range, μm: 1.93-8.22 Geometry θ' θ'': 10° 10° Composition (weight percent), Specifications, and Remarks: Similar to the above specimen and conditions except free hole concentration 1.3 x 10²⁰ cm⁻³; [Authors' designation: Sample E].
Curve 6
Temperature K: ~298 Wavelength Range, μm: 2.00-9.63 Geometry θ' θ'': 10° 10° Composition (weight percent), Specifications, and Remarks: Similar to the above specimen and conditions except free hole concentration 1.0 x 10²⁰ cm⁻³; [Authors' designation: Sample F].
Curve 7
Temperature K: ~298 Wavelength Range, μm: 2.00-9.03 Geometry θ' θ'': 10° 10° Composition (weight percent), Specifications, and Remarks: Similar to the above specimen and conditions except free hole concentration 0.90 x 10²⁰ cm⁻³; [Authors' designation: Sample G].
Curve 8
Temperature K: ~298 Wavelength Range, μm: 2.07-10.6 Geometry θ' θ'': 10° 10° Composition (weight percent), Specifications, and Remarks: Similar to the above specimen and conditions except free hole concentration 0.74 x 10²⁰ cm⁻³; [Authors' designation: Sample H].
Curve 9
Temperature K: ~298 Wavelength Range, μm: 2.94-10.9 Geometry θ' θ'': 10° 10° Composition (weight percent), Specifications, and Remarks: Similar to the above specimen and conditions except free hole concentration 0.56 x 10²⁰ cm⁻³; [Authors' designation: Sample I].
Curve 10
Temperature K: ~298 Wavelength Range, μm: 2.05-10.9 Geometry θ' θ'': 10° 10° Composition (weight percent), Specifications, and Remarks: Similar to the above specimen and conditions except free hole concentration 0.55 x 10²⁰ cm⁻³; [Authors' designation: Sample J].
Curve 11
Temperature K: ~298 Wavelength Range, μm: 3.55-10.8 Geometry θ' θ'': 10° 10° Composition (weight percent), Specifications, and Remarks: Similar to the above specimen and conditions except free hole concentration 0.51 x 10²⁰ cm⁻³; [Authors' designation: Sample K].
Curve 12
Temperature K: ~298 Wavelength Range, μm: 3.05-9.95 Geometry θ' θ'': ~0°-0° Composition (weight percent), Specifications, and Remarks: Similar to the above specimen and conditions except free hole concentration 0.48 x 10²⁰ cm⁻³; [Authors' designation: Sample L].
Curve 13
Temperature K: 300 Wavelength Range, μm: 2.51-188 Geometry θ' θ'': 10° 10° Composition (weight percent), Specifications, and Remarks: Thin p-type film; vapor grown; free hole concentration 1.4 x 10²⁰ cm⁻³, thickness 1.25 μm; NaCl crystal substrate.
Curve 14
Temperature K: ~298 Wavelength Range, μm: 1.00-10.0 Geometry θ' θ'': 10° 10° Composition (weight percent), Specifications, and Remarks: p-type single crystal (1.0 mm thick); free hole concentration 4.9 x 10²⁰ cm⁻³; heat treated; polished and etched to flat and mirror-like surface; [Authors' designation: Sample A].
Curve 15
Temperature K: ~298 Wavelength Range, μm: 2.13-4.54 Geometry θ' θ'': 10° 10° Composition (weight percent), Specifications, and Remarks: Similar to the above specimen and conditions except free hole concentration 2.8 x 10²⁰ cm⁻³; [Authors' designation: Sample B].
Curve 16
Temperature K: ~298 Wavelength Range, μm: 2.11-10.9 Geometry θ' θ'': 10° 10° Composition (weight percent), Specifications, and Remarks: Similar to the above specimen and conditions except free hole concentration 2.5 x 10²⁰ cm⁻³; [Authors' designation: Sample C].
Curve 17
Temperature K: ~298 Wavelength Range, μm: 1.20-10.9 Geometry θ' θ'': 10° 10° Composition (weight percent), Specifications, and Remarks: Similar to the above specimen and conditions except free hole concentration 1.4 x 10²⁰ cm⁻³; [Authors' designation: Sample D].
Curve 18
Temperature K: ~298 Wavelength Range, μm: 1.93-8.22 Geometry θ' θ'': 10° 10° Composition (weight percent), Specifications, and Remarks: Similar to the above specimen and conditions except free hole concentration 1.3 x 10²⁰ cm⁻³; [Authors' designation: Sample E].
Curve 19
Temperature K: ~298 Wavelength Range, μm: 2.00-9.63 Geometry θ' θ'': 10° 10° Composition (weight percent), Specifications, and Remarks: Similar to the above specimen and conditions except free hole concentration 1.0 x 10²⁰ cm⁻³; [Authors' designation: Sample F].
Curve 20
Temperature K: ~298 Wavelength Range, μm: 2.00-9.03 Geometry θ' θ'': 10° 10° Composition (weight percent), Specifications, and Remarks: Similar to the above specimen and conditions except free hole concentration 0.90 x 10²⁰ cm⁻³; [Authors' designation: Sample G].
Curve 21
Temperature K: ~298 Wavelength Range, μm: 2.07-10.6 Geometry θ' θ'': 10° 10° Composition (weight percent), Specifications, and Remarks: Similar to the above specimen and conditions except free hole concentration 0.74 x 10²⁰ cm⁻³; [Authors' designation: Sample H].
Curve 22
Temperature K: ~298 Wavelength Range, μm: 2.94-10.9 Geometry θ' θ'': 10° 10° Composition (weight percent), Specifications, and Remarks: Similar to the above specimen and conditions except free hole concentration 0.56 x 10²⁰ cm⁻³; [Authors' designation: Sample I].
Curve 23
Temperature K: ~298 Wavelength Range, μm: 2.05-10.9 Geometry θ' θ'': 10° 10° Composition (weight percent), Specifications, and Remarks: Similar to the above specimen and conditions except free hole concentration 0.55 x 10²⁰ cm⁻³; [Authors' designation: Sample J].
Curve 24
Temperature K: ~298 Wavelength Range, μm: 3.55-10.8 Geometry θ' θ'': 10° 10° Composition (weight percent), Specifications, and Remarks: Similar to the above specimen and conditions except free hole concentration 0.51 x 10²⁰ cm⁻³; [Authors' designation: Sample K].
Curve 25
Temperature K: ~298 Wavelength Range, μm: 3.05-9.95 Geometry θ' θ'': ~0°-0° Composition (weight percent), Specifications, and Remarks: Similar to the above specimen and conditions except free hole concentration 0.48 x 10²⁰ cm⁻³; [Authors' designation: Sample L].
Curve 26
Temperature K: 300 Wavelength Range, μm: 2.51-188 Geometry θ' θ'': 10° 10° Composition (weight percent), Specifications, and Remarks: Thin p-type film; vapor grown; free hole concentration 1.4 x 10²⁰ cm⁻³, thickness 1.25 μm; NaCl crystal substrate.