Write the Schrödinger equation for Het. Given the GS wavefunction of Het is h = Ad-21a0) w=Ae(-2r/a0) show that 1 222 E = E=-14ne02e2a0 4TEO AO
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![Write the Schrödinger equation for He*.
Given the GS wavefunction of Het is
v = Ae-2la0) w=Ae(-2r/a0)
show that
1 2e2
E =
4TEO AO
E--14πε0 2e2a0](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0e7d6be5-10a4-463f-9e6e-3d4a118cd6f0%2Fbd53269c-75d5-4819-a55c-56d7f57dc4c8%2Fqp5sfozu_processed.jpeg&w=3840&q=75)
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- An electron in the ground state of a 1D infinite square well (width=1.222nm) is illuminated with light (wavelength=547nm). Into which quantum state is the electron excited?Show that at limit ħo kgT, the following expression, h €(w, T) = c exp(Bho)-1 reduces to the classical form given by: e(w, T)= Ac ³(kgT)w²: ² = 0 [₁²³ (²+²)]. AcWrite down the expression for the quantized energy levels, En, of a particle of mass m inan infinite square well of width L.b) State the frequency of a photon that would be emitted from a particle transitioning from then = 2 energy level to the n = 1 energy level of this infinite square well.
- Show that the longest wavelength of the Balmer series and the longest two wavelengths of the Lyman series sat- isfy the Ritz combination principle. For the Lyman series, limit = 91.13 nm.While studying the spectrum of a gas cloud in space, an astronomer magnifies a spectral linet hat results from a transition from a p state to an s state. She finds that the line at 575.050 nm has actually split into three lines, with adjacent lines 4.60 * 10^-2 nm apart, indicating that the gas is in an external magnetic field. Ignore effects due to electron spin. What is the strength of the external magnetic field?a) Write down the expression for the quantized energy levels, En, of a particle of mass m in an infinite square well of width L. b) State the frequency of a photon that would be emitted from a particle transitioning from the n = 2 energy level to the n = 1 energy level of this infinite square well.