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 |
| Mason Yu | Brown | RIT | 29 | 15 |
| Ryan Rosenberg | Adrianne Lenker 4 Nobel Lit Prize 2K65 | 4 quizbowl pros go Virginia on North Carolina | 29 | 15 |
| Will McCurley | Auburn 2026 | Four Generalists in Search of a Power | 30 | -5 |
| Stan | Gruh | Mahjonng Masters | 30 | 15 |
| Caleb Ott | Waterloo B | Toronto A | 30 | 15 |
| 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 |
| Maximilian Niebur | Johns Hopkins A | Haverford A | 40 | 15 |
| Leo Law | Project2025BC: Make Assyria Great Again | Billy's Bastion | 40 | -5 |
| Theenash Sengupta | MSJ | mongeese | 41 | 15 |
| Yash Mandavia | Illinois B | Illinois C | 41 | 15 |
| Kethan Raman | UCLA A | Claremont A | 41 | 15 |
| Fish Tsai | girl 15 whale i mean they | UCSB | 41 | -5 |
| 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 |
| Shahar Schwartz | Egypt Airlines Haters | evil women enjoyers | 44 | 15 |
| Joy An | Harvard | BU | 44 | -5 |
| Samarth Ram | Chicago B | WashU Squirtle | 44 | -5 |
| Tracy Mirkin | Edwin Laundrorat's Long-Lost Man Unclothès Rat Degrosses | Keeping Up With the Cardassians | 44 | 15 |
| Liam Kusalik | Waterloo A | McGill A | 44 | 15 |
| Jim Fan | Master and Margaritaville | Ashurbanipal’s Drag Race | 44 | 15 |
| Adsayan Ganesh | Warwick B | Lancaster | 45 | 15 |
| Karthik Jayaram | Quatumvirate | Goober Gang | 46 | 15 |
| Calvin Bostleman | Ohio State A | Michigan C | 48 | 15 |
| Anderson Wang | Art of Premature Signaling | P.C.‚ Daniel‚ Michel‚ and Jason B | 48 | 15 |
| Benjamin Chapman | Toronto B | Toronto Metropolitan | 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 |
| Ted Harrison | Edinburgh | Sheffield A | 68 | 10 |
| Yrwin Batan | MIT | Brandeis | 68 | 10 |
| John John Groger | WashU Charmander | SIUE | 68 | 10 |
| Jonathan Shauf | Even in Blacksburg There I Am | Somehow Paula Deen Returned | 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 |
| Sky Hong | we need new names | Illinois Orange | 76 | 10 |
| Sam Hastings | Birmingham | Manchester | 76 | -5 |
| Chris Levesley | Warwick A | LSE | 76 | 10 |
| Nikhil Nair | BU | Harvard | 76 | 10 |
| Anne Fjeld | Alberta | Arizona State University B | 76 | 10 |
| Yusuf Baig | Mac A | McGill B | 76 | 10 |
| Danny Fisher | Warwick C | Sheffield C | 77 | 10 |
| Amir Dolansky | Toronto D | Toronto E | 77 | -5 |
| Pranet Sirikonda | Ohio State C | Michigan D | 81 | -5 |
| Shishir Bharadwaj | Lexington | Belmont | 81 | -5 |
| Lesley Kwarteng | Johns Hopkins B | Catholic University of America | 81 | -5 |
| Annika Larson | Claremont B | UCSD | 81 | 10 |
| Zaid Asif | NYU C | George Mason C | 88 | 10 |
| Alyx Reckanh | Billy's Bastion | Project2025BC: Make Assyria Great Again | 88 | 0 |
| 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 |
| Peter Ballas | Michigan D | Ohio State C | 110 | 0 |
| Nick Marinni | 2 Italians, 2 Poles, All Noles | Notre Dame + Epic Games | 110 | 0 |
| Eugenia Tong | Imperial A. | Imperial B | 110 | 10 |
| Gregory Zeldovich | Belmont | Lexington | 110 | 10 |
| James Fan | Toronto E | Toronto D | 110 | 0 |
| Dawson Teu | Waterloo C | Guelph | 110 | 10 |
| Tai Belke | UBC | Ottawa A | 110 | 0 |
| Jesse Chusing | Ottawa A | UBC | 110 | 0 |