Consider the elements Zinc (Zn) and Gallium (Ga). Their atomic mass, density and electronic shell structure are provided in the table below. Using the free electron gas model, evaluate the Fermi energy of Zinc and Gallium and their corresponding degenerate pressure (pressure of the electron gas). Express your pressure values in kbars. The experimental Fermi energy values for Zn and Ga are 9.45 eV and 10.4 eV respectively. How many free electrons per atom did you employ in your calculations? Explain.
Consider the elements Zinc (Zn) and Gallium (Ga). Their atomic mass, density and electronic shell structure are provided in the table below. Using the free electron gas model, evaluate the Fermi energy of Zinc and Gallium and their corresponding degenerate pressure (pressure of the electron gas). Express your pressure values in kbars. The experimental Fermi energy values for Zn and Ga are 9.45 eV and 10.4 eV respectively. How many free electrons per atom did you employ in your calculations? Explain.
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TRQIP.3 Solve completely the following Quantum
problem. Need full detailed answer, equations and if
possible, theory/literature.
Transcribed Image Text:Consider the elements Zinc (Zn) and Gallium (Ga). Their atomic mass, density and electronic
shell structure are provided in the table below. Using the free electron gas model, evaluate the
Fermi energy of Zinc and Gallium and their corresponding degenerate pressure (pressure of the
electron gas). Express your pressure values in kbars. The experimental Fermi energy values for
Zn and Ga are 9.45 eV and 10.4 eV respectively. How many free electrons per atom did you
employ in your calculations? Explain.
atomic mass(gm/mol)
65.38
density (gm/cm³)
element
shell structure
Zn
7.14
(Ar)3dlº4s²
Ga
69.7
5.91
(Ar)3d104s23p'
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