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Consider an electron in the conduction band of GaAs in an infinite potential well of width 20nm. (a) Calculate the energies in (meV) associated with the transitions between the five lowest levels (E,, E,, Eg, E4. Es). Draw a diagram for the possible transitions (see Fig. 2.13 from our main reference Levi). Assume that the effective mass of GaAs is m² = 0.067m. (m. = electron mass); (b) Write the associated wavefunction for each of these five lowest level states

Consider an electron in the conduction band of GaAs in an infinite potential well of width 20nm. (a) Calculate the energies in (meV) associated with the transitions between the five lowest levels (E,, E,, Eg, E4. Es). Draw a diagram for the possible transitions (see Fig. 2.13 from our main reference Levi). Assume that the effective mass of GaAs is m² = 0.067m. (m. = electron mass); (b) Write the associated wavefunction for each of these five lowest level states

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Consider an electron in the conduction band of GaAs in an infinite potential well of width 20nm. (a) Calculate the energies in (meV) associated with the transitions between the five lowest levels (Ej, E3, E3, E4, E5). Draw a diagram for the possible transitions (see Fig. 2.13 from our main reference Levi). Assume that the effective mass of GaAs is m² = 0.067m. (m. = electron mass): m (b) Write the associated wavefunction for each of these five lowest level states
Transcribed Image Text:Consider an electron in the conduction band of GaAs in an infinite potential well of width 20nm. (a) Calculate the energies in (meV) associated with the transitions between the five lowest levels (Ej, E3, E3, E4, E5). Draw a diagram for the possible transitions (see Fig. 2.13 from our main reference Levi). Assume that the effective mass of GaAs is m² = 0.067m. (m. = electron mass): m (b) Write the associated wavefunction for each of these five lowest level states
E= 0.0 eV E =-0.544 eV E= -0.850 eV 5 E=-1.512 eV n= 3 Paschen E= -3.401 eV n = 2 Balmer 21 = 0.656 µm A,=0.091 um Lyman 2 = 0.122 um A =0.091 um E = -13.606 eV n= 1 Fig. 2.13. Photon emission spectra of excited hydrogen consist of a discrete number of spectral lines corresponding to transitions from high energy levels to lower energy levels. Different groups of characteristic emission line spectra have been given the names of those who first observed them.
Transcribed Image Text:E= 0.0 eV E =-0.544 eV E= -0.850 eV 5 E=-1.512 eV n= 3 Paschen E= -3.401 eV n = 2 Balmer 21 = 0.656 µm A,=0.091 um Lyman 2 = 0.122 um A =0.091 um E = -13.606 eV n= 1 Fig. 2.13. Photon emission spectra of excited hydrogen consist of a discrete number of spectral lines corresponding to transitions from high energy levels to lower energy levels. Different groups of characteristic emission line spectra have been given the names of those who first observed them.
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