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Varshni papameter

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Mohiuddin Murad
Mohiuddin Murad

The document presents the Varshni equation to model the temperature dependence of the band gap (Eg) of gallium arsenide (GaAs). It gives the values of Eg(0), α, and β for GaAs as 1.519 eV, 5.58×10-4 eV/K, and 220 K, respectively. Tables show how the band gap decreases with increasing temperature from 10 K to 300 K based on calculations using the Varshni equation. A graph plots the measured band gap values against temperature.

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𝐸𝑔(𝑇) = 𝐸𝑔(0) − 𝛼𝑇2 (𝛽+𝑇) 𝐹𝑜𝑟 𝐺𝑎𝐴𝑠 𝐸𝑔(0) = 1.519 𝑒𝑉 , and α = 5.58×10−4 𝑒𝑉/𝐾 , β = 220 The temperature differenceis taken respectively 10 K . For different temperature 𝐸𝑔 is , 10 K 1.518 70k 1.509 130k 1.492 190k 1.469 20 k 1.518 80k 1.507 140k 1.488 200k 1.465 30k 1.516 90k 1.504 150k 1.485 210k 1.461 40k 1.515 100k 1.501 160 1.481 220k 1.457 50k 1.514 110k 1.498 170 1.477 230k 1.453 60k 1.512 120k 1.495 180 1.473 240k 1.449 250k 1.445 260k 1.440 270k 1.435 280k 1.431 290k 1.426 300k 1.422 1.4 1.42 1.44 1.46 1.48 1.5 1.52 1.54 0 50 100 150 200 250 300 350 Eg(T) Temperature
Assignment on Temperature Effect in Band Gap using “Varshni Parameters” For GaAs Student Name: Md. Mohiuddin Murad ID : 2015-2-55-027 Course Title: Electronic Properties of Materials Course Code : ETE 219 Submitted To :
Submitted to :DNAJ Submission Date : 07-12-2017

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Varshni papameter

  • 1. 𝐸𝑔(𝑇) = 𝐸𝑔(0) − 𝛼𝑇2 (𝛽+𝑇) 𝐹𝑜𝑟 𝐺𝑎𝐴𝑠 𝐸𝑔(0) = 1.519 𝑒𝑉 , and α = 5.58×10−4 𝑒𝑉/𝐾 , β = 220 The temperature differenceis taken respectively 10 K . For different temperature 𝐸𝑔 is , 10 K 1.518 70k 1.509 130k 1.492 190k 1.469 20 k 1.518 80k 1.507 140k 1.488 200k 1.465 30k 1.516 90k 1.504 150k 1.485 210k 1.461 40k 1.515 100k 1.501 160 1.481 220k 1.457 50k 1.514 110k 1.498 170 1.477 230k 1.453 60k 1.512 120k 1.495 180 1.473 240k 1.449 250k 1.445 260k 1.440 270k 1.435 280k 1.431 290k 1.426 300k 1.422 1.4 1.42 1.44 1.46 1.48 1.5 1.52 1.54 0 50 100 150 200 250 300 350 Eg(T) Temperature
  • 2. Assignment on Temperature Effect in Band Gap using “Varshni Parameters” For GaAs Student Name: Md. Mohiuddin Murad ID : 2015-2-55-027 Course Title: Electronic Properties of Materials Course Code : ETE 219 Submitted To :
  • 3. Submitted to :DNAJ Submission Date : 07-12-2017