Exam (elaborations)
Chem 442 Uiuc Test 2 Questions And Answers Latest Update
- Course
- CHEM 442
- Institution
- University Of Illinois - Urbana-Champaign
Chem 442 Uiuc Test 2 Questions And Answers Latest Update
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Solution 2024/2025Pepper
Chem 442 Uiuc Test 2 Questions And Answers
Latest Update
The Schrödinger equation of a hydrogenic atom is (approximated/exactly
solvable) ANS✔✔ exactly solvable
How do we solve the 3D Schrödinger equation of a hydrogenic atom?
ANS✔✔ Separate the 3D into a radial (1D) and angular (2D) part. The 2D
part is split into two 1D parts.
l(l+1)ℏ^2/(2μr^2) represents what? ANS✔✔ The KE of the angular part of
the Hydrogenic atom
What is the radial part of the hydrogenic wave function proportional to?
ANS✔✔ (radius)^l x (associated Laguerre) x (Slater-type orp;ital
exp(-Zr/na))
What is the energy of the hydrogenic Schrödinger equation equal to ANS✔✔
inverse of -Z^2/n^2
What happens to energy levels above the ionization limit? ANS✔✔ They are
continuous (quantam mechanics doesn't work so well)
How many nodal spheres does an 8s orbital have? How many angular?
ANS✔✔ n-1= 7 nodal spheres
l=0= 0 angular nodes
, Solution 2024/2025
Pepper
How many nodes does a 9p orbital have? How many are spherical or
angular? ANS✔✔ 8 total nodes
1 angular node (l=1)
7 radial nodes (n-l-1)
Can a wave function simply go to zero and not change sign on a nodal
surface? ANS✔✔ No, it must change sign on a nodal surface
What do we know about the p0 orbital ANS✔✔ it is real and is equal to pz
extending along the z axis
What do we know about the p+1, p-1, and p0 orbitals ANS✔✔ They are
eigenfunctions of the magnetic (z-component) orbital angular momentum
operators with eigenvalues ℏ, 0 and -ℏ
What is the most probable radius? How do you find it? ANS✔✔ It is the
radius corresponding to a maximum probability density.
You find it by getting the radius where the 1st derivative of the radial
distribution function goes to zero
What are the selection rules in regards to Δl, Δml, and Δms ANS✔✔ Δl= ±1
Δml= 0 or ±1
Δms=0
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