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MAT400 Materials Characterisation

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Question 1

a) Calculate the relative density of states for four energy levels at 2 kBT and 0.5 kBT above and below the Fermi level, respectively, showing your working in full. How will your answer change if the temperature is halved? Here kB is the Boltzmann constant.

b) Express the energy for a particle in a 1D well as a function of (i) wavelength l and (ii) wavenumber k.

c) Consider a metal surface with work function F. Plot the KE of the emitted electrons (via the photoelectric effect) as a function of wavelength, showing the plotted relation.

d) Explain why constraining a particle with wave-like properties between two rigid walls (as in the 1D quantum well) leads naturally to the emergence of quantized energy levels.

 

MAT400 Materials Characterisation

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Meridian energy limited case study

  Introduction: Meridian energy limited is one of the leading power companies in New Zealand. It is also one of the companies which are listed on both NZX and ASX. The company was established twenty years ago on 16 December 1998. Meridian energy mainly works in the electricity generation and ...

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Answer the following questions on this document.  Upload your completed document to the Canvas assignment.  Save your document in the following format:your last name_math_module_8.docxfor examplemasura_math_module_8.docx1.    You use 300 kWh of electrical energy each month i ...

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Mid-Term Assignment - 3 Articles: Feynman Technique - 25% You are responsible for submitting a summary of three articles using the Feynman Technique. Article 1 – What is Big History? - Christian Article 2 – How Big History Can Save the World - Crawford Article 3 - The Making of Life - Wo ...

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