- Need Helping Writing Python Code For This Lab 1 (55.92 KiB) Viewed 57 times
Need helping writing Python code for this lab
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Need helping writing Python code for this lab
Need helping writing Python code for this lab
Lab 8 - Radial Hydrogen Wavefunctions Part 1 1. Write a function for the radial part of the hydrogen wavefunction given below. pler/(nas) (n + 1)! 22+2 2r Rm1() ==(n-1-1)!,"2, 2 , +3/2 {2n[(n+7)]}} (as) n-1-1 ao пао. where n is the principle quantum number, 7 is the orbital angular momentum quantum number, and an is the Bohr radius. As a suggestion, make a function R as a function of three variables n, I, and r. You will need the generalized Laguerre polynomial for the wavefunction. 2. Plot the probability distribution of this wavefunction with a clickable scale for varying values of n and I. Part 2 3. Find the probability that a Is electron in hydrogen is within the Bohr radius. 4. Find the probability that a 2s electron in hydrogen is between 0 and the first radial node. Part 3 5. Find the expectation value of r (average value) in angstroms for varying n and / values in the range of n = 1-5, and / -0-4. Part 4 6. Which is further away from the nucleus, the average radius of a 2s or 2p electron? 7. What is the trend as you increase the angular momentum quantum number for a given principle quantum number? Does this result surprise you?
Lab 8 - Radial Hydrogen Wavefunctions Part 1 1. Write a function for the radial part of the hydrogen wavefunction given below. pler/(nas) (n + 1)! 22+2 2r Rm1() ==(n-1-1)!,"2, 2 , +3/2 {2n[(n+7)]}} (as) n-1-1 ao пао. where n is the principle quantum number, 7 is the orbital angular momentum quantum number, and an is the Bohr radius. As a suggestion, make a function R as a function of three variables n, I, and r. You will need the generalized Laguerre polynomial for the wavefunction. 2. Plot the probability distribution of this wavefunction with a clickable scale for varying values of n and I. Part 2 3. Find the probability that a Is electron in hydrogen is within the Bohr radius. 4. Find the probability that a 2s electron in hydrogen is between 0 and the first radial node. Part 3 5. Find the expectation value of r (average value) in angstroms for varying n and / values in the range of n = 1-5, and / -0-4. Part 4 6. Which is further away from the nucleus, the average radius of a 2s or 2p electron? 7. What is the trend as you increase the angular momentum quantum number for a given principle quantum number? Does this result surprise you?
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