Question
To find the energy levels of a diatomic molecule, one can solve this equation for the quantum harmonic oscillator. For 10 points each:
[10e] Name this partial differential equation whose time-independent form is written as “H-psi equals E-psi.”
ANSWER: Schrödinger equation
[10h] This model modifies the harmonic oscillator model by capping energy levels at the bond dissociation energy as internuclear separation approaches infinity.
ANSWER: Morse potential
[10m] The Morse potential is used to study the dynamics of these phenomena, which are described as Raman active if they induce a change in a molecule’s polarizability. These phenomena can be conducted with 3N minus 6 degrees of freedom in non-linear molecules with N atoms.
ANSWER: molecular vibrations [accept vibrational modes or vibrational transitions; accept descriptions indicating bonds vibrating; prompt on oscillations or oscillatory motions; prompt on motions; prompt on normal modes; anti-prompt on wagging or rocking or bending or twisting or stretching]
<Alex Li, Chemistry>
Summary
| 2024 Penn Bowl Berkeley | 11/02/2024 | Y | 2 | 15.00 | 100% | 50% | 0% |
| 2024 Penn Bowl CWRU | 11/02/2024 | Y | 4 | 10.00 | 75% | 25% | 0% |
| 2024 Penn Bowl Chicago | 11/02/2024 | Y | 8 | 17.50 | 100% | 63% | 13% |
| 2024 Penn Bowl Florida | 10/26/2024 | Y | 2 | 10.00 | 50% | 50% | 0% |
| 2024 Penn Bowl Harvard | 10/26/2024 | Y | 4 | 20.00 | 100% | 100% | 0% |
| 2024 Penn Bowl Mainsite | 11/02/2024 | Y | 3 | 10.00 | 67% | 33% | 0% |
| 2024 Penn Bowl Texas | 11/02/2024 | Y | 2 | 10.00 | 100% | 0% | 0% |
| 2024 Penn Bowl UK | 10/26/2024 | Y | 5 | 12.00 | 80% | 40% | 0% |
| 2024 Penn Bowl UNC | 10/26/2024 | Y | 3 | 23.33 | 100% | 100% | 33% |
| 2024 Penn Bowl Playtest | 10/12/2024 | N | 4 | 20.00 | 100% | 50% | 50% |
Data
| Berkeley A | Stanford | 10 | 0 | 10 | 20 |
| Berkeley B | Berkeley C | 10 | 0 | 0 | 10 |
| Michigan A | Ohio State A | 10 | 0 | 10 | 20 |
| Carnegie Mellon | Michigan State | 10 | 0 | 0 | 10 |
| Michigan B | Ohio State B | 0 | 0 | 0 | 0 |
| Pittsburgh | Ohio State C | 10 | 0 | 0 | 10 |
| Notre Dame A | Chicago A | 10 | 0 | 0 | 10 |
| UF A | UCF | 0 | 0 | 10 | 10 |
| UF B | UF C | 10 | 0 | 0 | 10 |
| Northwestern A | Illinois A | 10 | 10 | 10 | 30 |
| Indiana A | Illinois B | 10 | 0 | 10 | 20 |
| Chicago B | Indiana B | 10 | 0 | 10 | 20 |
| SIUE | Minnesota | 10 | 0 | 0 | 10 |
| Northwestern B | Notre Dame C | 10 | 0 | 0 | 10 |
| Notre Dame B | Illinois C | 10 | 0 | 10 | 20 |
| WUSTL | Purdue | 10 | 0 | 10 | 20 |
| NYU A | Columbia | 10 | 0 | 10 | 20 |
| Princeton | NYU B | 10 | 0 | 0 | 10 |
| Maryland | JHU B | 0 | 0 | 0 | 0 |
| Texas B | TAMU | 10 | 0 | 0 | 10 |
| Texas A | Houston | 10 | 0 | 0 | 10 |
| Yale B | Brandeis | 10 | 0 | 10 | 20 |
| Harvard A | MIT | 10 | 0 | 10 | 20 |
| Tufts | Harvard B | 10 | 0 | 10 | 20 |
| Yale A | BU | 10 | 0 | 10 | 20 |
| Oxford School for Quizness | Gressenheller A | 10 | 0 | 0 | 10 |
| LSE | The Crying of Team 49 | 0 | 0 | 0 | 0 |
| Limp Chriskit | 3HK1MM | 10 | 0 | 0 | 10 |
| Say it | Sorted | 10 | 0 | 10 | 20 |
| Duke A | RIT A | 10 | 0 | 10 | 20 |
| UNC B | Virginia Tech A | 10 | 0 | 10 | 20 |
| UNC A | UNC C | 10 | 10 | 10 | 30 |
| Four Times I Have Despised My Soul | See it | 10 | 0 | 10 | 20 |