A quantity describing these entities scales with one over width for zigzag nanostructures and one over width squared for armchair nanostructures. The K-points of the Brillouin (“bree-WANN”) zones of TMDCs host the edges of these entities. These entities exhibit linearly dispersing Dirac spectra when their interfaces form non-smooth Dirac arcs, circles, nodes, or cones. In the tight-binding formalism, these structures are computed using a generalization of LCAO. These theoretical entities arise in the continuum limit of infinitely many adjacent atomic orbitals. The position of the Fermi level relative to these entities distinguishes conductors from insulators; for insulators, the energy gap between these entities is large. For 10 points, name these allowed energy levels of semiconductors that include their “conduction” and “valence” types. ■END■
| California (North) | Main Site | Y | 3 | 100% | 0% | 0% | 72.33 |
| California (South) | Main Site | Y | 4 | 100% | 0% | 50% | 116.50 |
| Canada | Main Site | Y | 1 | 100% | 0% | 0% | 121.00 |
| Florida | Main Site | Y | 3 | 33% | 0% | 33% | 100.00 |
| Great Lakes | Main Site | Y | 5 | 100% | 0% | 40% | 104.60 |
| Lower Mid-Atlantic | Main Site | Y | 9 | 78% | 0% | 11% | 109.86 |
| Midwest | Main Site | Y | 8 | 88% | 0% | 38% | 96.43 |
| Northeast | Main Site | Y | 4 | 100% | 0% | 50% | 112.00 |
| Overflow | Main Site | Y | 4 | 50% | 0% | 50% | 106.50 |
| South Central | Main Site | Y | 2 | 100% | 0% | 0% | 72.50 |
| Southeast | Main Site | Y | 7 | 71% | 0% | 43% | 108.20 |
| UK | Main Site | Y | 12 | 92% | 0% | 42% | 96.91 |
| Upper Mid-Atlantic | Main Site | Y | 8 | 75% | 0% | 25% | 98.50 |
| Upstate NY | Main Site | Y | 4 | 75% | 0% | 25% | 109.33 |
| Player | Team | Opponent | Buzz Position | Value |
|---|---|---|---|---|
| Alex Baker | Cambridge B | Bristol | 34 | -5 |
| Danny Han | Stanford B | Berkeley B | 43 | 10 |
| Delia Cropper | Oxford A | Imperial A | 46 | 10 |
| Matthew He | Texas A | Texas B | 52 | 10 |
| Michael Wu | Southampton A | Imperial B | 56 | -5 |
| Andrew Wang | Illinois A | Notre Dame B | 63 | 10 |
| Mason Yu | Brown | Harvard A | 65 | -5 |
| Joel Dicker | Southampton B | Cardiff | 65 | -5 |
| Ali Hamzeh | Edinburgh A | Manchester | 65 | -5 |
| Kelvin Ni | NYU B | Vassar | 65 | -5 |
| Karthik Jayaram | UCLA A | UCSD C | 65 | -5 |
| Tianyu Xu | Georgia Tech B | Louisville A | 65 | -5 |
| Samuel Lipsutz | Chicago E | Chicago C | 66 | -5 |
| Rohan Dalal | Georgia Tech A | Missouri A | 66 | -5 |
| Jason Thieu | Michigan State | CWRU A | 67 | -5 |
| Mia Clark-Webb | Oxford C | Warwick B | 67 | -5 |
| Akshay Seetharam | Claremont | Minnesota A | 68 | -5 |
| Calvin Bostleman | Ohio State A | Michigan A | 69 | -5 |
| Samanyu Dixit | North Carolina C | Liberty B | 69 | -5 |
| Thomas Tibbetts | Central Florida C | Florida B | 71 | -5 |
| Alex Akridge | Indiana A | Notre Dame A | 76 | 10 |
| Yixi Yang | Yale | Bowdoin A | 79 | -5 |
| Nathan Woolery | Louisville B | Vanderbilt B | 79 | -5 |
| Cade Reinberger | RIT | Cornell A | 80 | -5 |
| Samarth Ram | Chicago B | Northwestern D | 81 | -5 |
| Brandon Weiss | Columbia C | Swarthmore | 83 | 10 |
| Abby Smith | Berkeley C | Stanford A | 85 | 10 |
| Wyatt Johnson | CWRU B | Ohio State B | 85 | 10 |
| Ollie Glin-Conway | Imperial C | Oxford B | 85 | 10 |
| Oliver West | Cambridge C | City St. George's | 86 | 10 |
| Swapnil Garg | Berkeley A | Berkeley D | 89 | 10 |
| Beckett Pursey | Purdue A | Illinois C | 89 | 10 |
| Camden Walker | WashU B | Alabama A | 89 | -5 |
| Jason Lee | Rutgers B | Georgetown | 92 | 10 |
| Camrun Scott | Murray State A | Texas A&M A | 93 | 10 |
| Matthew Sumanen | Georgia Tech C | Tennessee A | 93 | 10 |
| Jason Qin | Columbia A | Maryland C | 93 | 10 |
| Fern Fang | VCU | Duke | 93 | 10 |
| Albert Nyang | LSE | UCL | 93 | 10 |
| Yaj Jhajhria | Washington A | Iowa State | 93 | 10 |
| Azura Gollamudi | Northwestern B | Northwestern C | 94 | 10 |
| Ted Harrison | Edinburgh B | Durham | 95 | 10 |
| Krishna Girish | Montpellier | Birmingham | 95 | 10 |
| Jesse Mindel | NC State A | Virginia Tech A | 98 | 10 |
| Jerry Vinokurov | John Jay | NYU C | 99 | 10 |
| Shiva Tegulla | Central Florida A | Florida A | 100 | 10 |
| Pace Klein | CWRU A | Michigan State | 101 | 10 |
| Aryan Desarapu | Michigan B | Ohio State C | 101 | 10 |
| Chloe Chow | Harvard B | Bowdoin B | 101 | 10 |
| Agnijo Banerjee | Cambridge A | Warwick A | 101 | 10 |
| Teigue Kelly | Penn State | Cornell C | 101 | 10 |
| Jaiden Li | UCSD B | Arizona State | 103 | 10 |
| S. A. Shenoy | Georgia Tech D | Mississipi State | 103 | 10 |
| Andrew Massaro | Catholic | Johns Hopkins B | 103 | -5 |
| Joseph Chambers | Virginia | Wake Forest | 103 | 10 |
| Rachel Bentham | Manchester | Edinburgh A | 103 | 10 |
| Charles Hang | WashU A | Kentucky | 103 | 10 |
| David Nickel | Purdue B | Indiana B | 104 | -5 |
| Ayaan Jajodia | Dartmouth A | Dartmouth B | 106 | 10 |
| Eli O'Sick Johnson | Binghamton B | Cornell B | 106 | 10 |
| Fish Tsai | UCSD A | UC Santa Barbara | 108 | -5 |
| Shardul Parthasarathy | Illinois B | Indiana C | 111 | 10 |
| Aiden Dartley | Rutgers A | Maryland A | 111 | 10 |
| Caleb Slusher | South Carolina A | North Carolina B | 113 | 10 |
| Zachary Joseph | Columbia B | Maryland B | 113 | 10 |
| Ariel Faeder | Pittsburgh | Michigan C | 115 | 10 |
| Chris Yoo | William and Mary | James Madison B | 120 | 10 |
| Rohan Ganeshan | Harvard A | Brown | 120 | 10 |
| Gus Redding | Imperial B | Southampton A | 120 | 10 |
| Braxton Davis | Missouri A | Georgia Tech A | 120 | 10 |
| Yoyo Liu | UBC B | Brock | 121 | 10 |
| Todd Maslyk | Michigan A | Ohio State A | 121 | 10 |
| Josh Schmidt | Liberty A | James Madison A | 121 | 0 |
| Erin Williams | James Madison A | Liberty A | 121 | 0 |
| Dan Rajaratnam | NC State B | Liberty C | 121 | 0 |
| Gabriel Dodds | Liberty C | NC State B | 121 | 10 |
| Nick Smemoe | North Carolina A | South Carolina B | 121 | 0 |
| Kabir Zaman | South Carolina B | North Carolina A | 121 | 10 |
| Matthew Vidal | Northwestern D | Chicago B | 121 | 10 |
| Sasha Tripathi | Chicago C | Chicago E | 121 | 10 |
| Dash Rumble | Bowdoin A | Yale | 121 | 10 |
| Davin Sivertson | Alabama B | Sewanee | 121 | 10 |
| Katie Farthing | Vanderbilt B | Louisville B | 121 | 0 |
| Harri Slaughter | Cardiff | Southampton B | 121 | 0 |
| Alec Riso | Cornell A | RIT | 121 | 10 |
| Jordan Parker-Martin | Rochester | Binghamton A | 121 | 0 |
| Ariyan Miah | Binghamton A | Rochester | 121 | 0 |
| Adam Jarvis | Florida C | Central Florida B | 121 | 0 |
| AnnaMaria Donnelly | Central Florida B | Florida C | 121 | 0 |
| Alex Olson | Florida B | Central Florida C | 121 | 0 |
| Patrick Hartley | Warwick B | Oxford C | 121 | 10 |
| Ezra Siegartel | Vassar | NYU B | 121 | 0 |
| Andrew Nucci | UCLA B | UC Irvine | 121 | 10 |
| Ethan Ririe | UCSD C | UCLA A | 121 | 10 |
| Dmitri Anh-Minh Tran | UC Santa Barbara | UCSD A | 121 | 10 |
| Puna Ekka | Minnesota A | Claremont | 121 | 0 |
| Safiya Hasan | Missouri B | Carleton College | 121 | 0 |
| Aaron Marchand | Carleton College | Missouri B | 121 | 0 |
| Snehan Saroch | Louisville A | Georgia Tech B | 121 | 10 |
| Ted Warner | Bristol | Cambridge B | 121 | 10 |