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 |
| Joel Dicker | Southampton B | Cardiff | 65 | -5 |
| Karthik Jayaram | UCLA A | UCSD C | 65 | -5 |
| Ali Hamzeh | Edinburgh A | Manchester | 65 | -5 |
| Mason Yu | Brown | Harvard A | 65 | -5 |
| Tianyu Xu | Georgia Tech B | Louisville A | 65 | -5 |
| Kelvin Ni | NYU B | Vassar | 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 |
| Samanyu Dixit | North Carolina C | Liberty B | 69 | -5 |
| Calvin Bostleman | Ohio State A | Michigan A | 69 | -5 |
| Thomas Tibbetts | Central Florida C | Florida B | 71 | -5 |
| Alex Akridge | Indiana A | Notre Dame A | 76 | 10 |
| Nathan Woolery | Louisville B | Vanderbilt B | 79 | -5 |
| Yixi Yang | Yale | Bowdoin A | 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 |
| Yaj Jhajhria | Washington A | Iowa State | 93 | 10 |
| Matthew Sumanen | Georgia Tech C | Tennessee A | 93 | 10 |
| Jason Qin | Columbia A | Maryland C | 93 | 10 |
| Albert Nyang | LSE | UCL | 93 | 10 |
| Fern Fang | VCU | Duke | 93 | 10 |
| Camrun Scott | Murray State A | Texas A&M A | 93 | 10 |
| Azura Gollamudi | Northwestern B | Northwestern C | 94 | 10 |
| Krishna Girish | Montpellier | Birmingham | 95 | 10 |
| Ted Harrison | Edinburgh B | Durham | 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 |
| Agnijo Banerjee | Cambridge A | Warwick A | 101 | 10 |
| Teigue Kelly | Penn State | Cornell C | 101 | 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 |
| 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 |
| Rachel Bentham | Manchester | Edinburgh A | 103 | 10 |
| Joseph Chambers | Virginia | Wake Forest | 103 | 10 |
| Charles Hang | WashU A | Kentucky | 103 | 10 |
| David Nickel | Purdue B | Indiana B | 104 | -5 |
| Eli O'Sick Johnson | Binghamton B | Cornell B | 106 | 10 |
| Ayaan Jajodia | Dartmouth A | Dartmouth 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 |
| Braxton Davis | Missouri A | Georgia Tech A | 120 | 10 |
| Chris Yoo | William and Mary | James Madison B | 120 | 10 |
| Gus Redding | Imperial B | Southampton A | 120 | 10 |
| Rohan Ganeshan | Harvard A | Brown | 120 | 10 |
| Yoyo Liu | UBC B | Brock | 121 | 10 |
| 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 |
| 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 |
| Puna Ekka | Minnesota A | Claremont | 121 | 0 |
| Safiya Hasan | Missouri B | Carleton College | 121 | 0 |
| Aaron Marchand | Carleton College | Missouri B | 121 | 0 |
| Davin Sivertson | Alabama B | Sewanee | 121 | 10 |
| Katie Farthing | Vanderbilt B | Louisville B | 121 | 0 |
| Ted Warner | Bristol | Cambridge B | 121 | 10 |
| Harri Slaughter | Cardiff | Southampton 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 |
| 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 |
| Patrick Hartley | Warwick B | Oxford C | 121 | 10 |
| Dash Rumble | Bowdoin A | Yale | 121 | 10 |
| Snehan Saroch | Louisville A | Georgia Tech B | 121 | 10 |
| Ezra Siegartel | Vassar | NYU 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 |