A method named for the fragment type of these structures uses energy decomposition analysis and Møller–Plesset perturbation theory for efficient calculation. Repulsion in these structures is described by the Klopman–Salem equation. To approximate wave functions of these structures, the Hartree–Fock method uses the overlap integral between Gaussian basis functions. Depending on their behavior under inversion, these structures are categorized as (*) “gerade” or “ungerade.” The “frontier” theory of these structures examines their “highest occupied” and “lowest unoccupied” examples. Electrons generally occupy the “bonding” variety of these structures before their “antibonding” variety. Sigma and pi-star are examples of, for 10 points, what structures classically formed from the linear combination of atomic orbitals? ■END■
| 2025 PLAYTIME Online | 04/26/2025 | Y | 9 | 89% | 67% | 33% | 50.88 |
| 2024 PLAYTIME @ Harvard | 04/26/2025 | Y | 4 | 100% | 25% | 50% | 70.75 |
| 2024 PLAYTIME @ Virginia Tech | 07/11/2025 | Y | 3 | 100% | 67% | 0% | 47.00 |
| 2024 PLAYTIME @ UBC | 10/05/2024 | Y | 8 | 75% | 50% | 25% | 60.00 |
| 2024 PLAYTIME @ WashU | 10/12/2024 | Y | 6 | 100% | 50% | 17% | 58.83 |
| 2024 PLAYTIME @ JHU | 10/26/2024 | Y | 7 | 71% | 29% | 29% | 61.60 |
| 2025 PLAYTIME @ Sheffield | 12/10/2024 | Y | 1 | 100% | 0% | 100% | 110.00 |
| 2025 PLAYTIME @ Northwest | 12/10/2024 | Y | 3 | 100% | 33% | 0% | 57.33 |
| 2025 PLAYTIME @ Claremont | 12/10/2024 | Y | 5 | 60% | 40% | 40% | 56.67 |
| 2025 PLAYTIME @ Florida | 12/10/2024 | Y | 2 | 50% | 50% | 50% | 44.00 |
| 2025 PLAYTIME @ Florida | 12/10/2024 | Y | 1 | 100% | 0% | 0% | 69.00 |
| 2025 PLAYTIME @ CWRU | 12/10/2024 | Y | 5 | 80% | 60% | 20% | 51.25 |
| 2025 PLAYTIME @ Sheffield | 12/10/2024 | Y | 6 | 83% | 17% | 17% | 66.00 |
| Player | Team | Opponent | Buzz Position | Value |
|---|---|---|---|---|
| David Latimer | Imperial B | Imperial A. | 20 | -5 |
| Bryan Ugaz | Arizona State University A | Carleton | 21 | 15 |
| Ryan Rosenberg | Adrianne Lenker 4 Nobel Lit Prize 2K65 | 4 quizbowl pros go Virginia on North Carolina | 29 | 15 |
| Mason Yu | Brown | RIT | 29 | 15 |
| Stan | Gruh | Mahjonng Masters | 30 | 15 |
| Caleb Ott | Waterloo B | Toronto A | 30 | 15 |
| Will McCurley | Auburn 2026 | Four Generalists in Search of a Power | 30 | -5 |
| Eric Mukherjee | Mike Dukakis Tank Battalion | Monsieur Hulot's Academic Team | 31 | 15 |
| Akshath Sivachidhambaram | Illinois Orange | we need new names | 39 | -5 |
| Aditya Patnaik | Ohio State D | Oberlin | 40 | 15 |
| Leo Law | Project2025BC: Make Assyria Great Again | Billy's Bastion | 40 | -5 |
| Maximilian Niebur | Johns Hopkins A | Haverford A | 40 | 15 |
| Kethan Raman | UCLA A | Claremont A | 41 | 15 |
| Fish Tsai | girl 15 whale i mean they | UCSB | 41 | -5 |
| Theenash Sengupta | MSJ | mongeese | 41 | 15 |
| Yash Mandavia | Illinois B | Illinois C | 41 | 15 |
| Jacob Finley | Notre Dame + Epic Games | 2 Italians, 2 Poles, All Noles | 42 | -5 |
| Ariel Faeder | Pittsburgh | Michigan A | 43 | 15 |
| Sai Subramanian | CWRU | George Mason A | 43 | 15 |
| Steven Yuan | Trip-Hop Quizzer Tricky | Free Agents 1 | 44 | 15 |
| Tracy Mirkin | Edwin Laundrorat's Long-Lost Man Unclothès Rat Degrosses | Keeping Up With the Cardassians | 44 | 15 |
| Jim Fan | Master and Margaritaville | Ashurbanipal’s Drag Race | 44 | 15 |
| Joy An | Harvard | BU | 44 | -5 |
| Shahar Schwartz | Egypt Airlines Haters | evil women enjoyers | 44 | 15 |
| Liam Kusalik | Waterloo A | McGill A | 44 | 15 |
| Samarth Ram | Chicago B | WashU Squirtle | 44 | -5 |
| Adsayan Ganesh | Warwick B | Lancaster | 45 | 15 |
| Karthik Jayaram | Quatumvirate | Goober Gang | 46 | 15 |
| Anderson Wang | Art of Premature Signaling | P.C.‚ Daniel‚ Michel‚ and Jason B | 48 | 15 |
| Benjamin Chapman | Toronto B | Toronto Metropolitan | 48 | 15 |
| Calvin Bostleman | Ohio State A | Michigan C | 48 | 15 |
| Michael Hunding | Illinois A | Chicago A | 51 | 15 |
| Kevin Ye | Simon Fraser | Toronto C | 52 | 15 |
| Benjamin Yang | Caltech | UCLA B | 54 | -5 |
| Neal Joshi | WashU Bulbasaur | Missouri | 56 | 15 |
| Fred Garvey | Truman State | Iowa State | 63 | 10 |
| Rachel Bentham | Cambridge | Sheffield B | 64 | 10 |
| Isaac Mammel | Maryland A | George Washington | 65 | 10 |
| Jonathan Shauf | Even in Blacksburg There I Am | Somehow Paula Deen Returned | 68 | 10 |
| John John Groger | WashU Charmander | SIUE | 68 | 10 |
| Yrwin Batan | MIT | Brandeis | 68 | 10 |
| Ted Harrison | Edinburgh | Sheffield A | 68 | 10 |
| Anh Khoa Tran | Qin Shi Huang's Immortality Poison | Too much from you lately | 69 | 10 |
| Saketh Dontaraju | NYU A | Maryland B | 72 | 10 |
| Biyang Zhang | Michigan B | Ohio State B | 74 | 10 |
| June Yin | WashU Squirtle | Chicago B | 74 | 10 |
| Euan McCubbin | UW A | UW B | 75 | 10 |
| Anne Fjeld | Alberta | Arizona State University B | 76 | 10 |
| Nikhil Nair | BU | Harvard | 76 | 10 |
| Sky Hong | we need new names | Illinois Orange | 76 | 10 |
| Sam Hastings | Birmingham | Manchester | 76 | -5 |
| Chris Levesley | Warwick A | LSE | 76 | 10 |
| Yusuf Baig | Mac A | McGill B | 76 | 10 |
| Amir Dolansky | Toronto D | Toronto E | 77 | -5 |
| Danny Fisher | Warwick C | Sheffield C | 77 | 10 |
| Pranet Sirikonda | Ohio State C | Michigan D | 81 | -5 |
| Annika Larson | Claremont B | UCSD | 81 | 10 |
| Shishir Bharadwaj | Lexington | Belmont | 81 | -5 |
| Lesley Kwarteng | Johns Hopkins B | Catholic University of America | 81 | -5 |
| Alyx Reckanh | Billy's Bastion | Project2025BC: Make Assyria Great Again | 88 | 0 |
| Zaid Asif | NYU C | George Mason C | 88 | 10 |
| Elijah Mandelbaum | Guelph | Waterloo C | 89 | -5 |
| Bhaskar Moorthy | Four Generalists in Search of a Power | Auburn 2026 | 95 | 10 |
| Cole Hartung | Georgetown | George Mason B | 101 | -5 |
| Eugenia Tong | Imperial A. | Imperial B | 110 | 10 |
| Peter Ballas | Michigan D | Ohio State C | 110 | 0 |
| James Fan | Toronto E | Toronto D | 110 | 0 |
| Gregory Zeldovich | Belmont | Lexington | 110 | 10 |
| Nick Marinni | 2 Italians, 2 Poles, All Noles | Notre Dame + Epic Games | 110 | 0 |
| Dawson Teu | Waterloo C | Guelph | 110 | 10 |
| Tai Belke | UBC | Ottawa A | 110 | 0 |
| Jesse Chusing | Ottawa A | UBC | 110 | 0 |