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 |
| Karthik Jayaram | UCLA A | UCSD C | 65 | -5 |
| 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 |
| 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 |
| Mia Clark-Webb | Oxford C | Warwick B | 67 | -5 |
| Jason Thieu | Michigan State | CWRU A | 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 |
| 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 |
| Wyatt Johnson | CWRU B | Ohio State B | 85 | 10 |
| Ollie Glin-Conway | Imperial C | Oxford B | 85 | 10 |
| Abby Smith | Berkeley C | Stanford A | 85 | 10 |
| Oliver West | Cambridge C | City St. George's | 86 | 10 |
| Beckett Pursey | Purdue A | Illinois C | 89 | 10 |
| Swapnil Garg | Berkeley A | Berkeley D | 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 |
| Fern Fang | VCU | Duke | 93 | 10 |
| Albert Nyang | LSE | UCL | 93 | 10 |
| Jason Qin | Columbia A | Maryland C | 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 |
| Chloe Chow | Harvard B | Bowdoin B | 101 | 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 |
| S. A. Shenoy | Georgia Tech D | Mississipi State | 103 | 10 |
| Joseph Chambers | Virginia | Wake Forest | 103 | 10 |
| Rachel Bentham | Manchester | Edinburgh A | 103 | 10 |
| Andrew Massaro | Catholic | Johns Hopkins B | 103 | -5 |
| Jaiden Li | UCSD B | Arizona State | 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 |
| Rohan Ganeshan | Harvard A | Brown | 120 | 10 |
| Chris Yoo | William and Mary | James Madison B | 120 | 10 |
| Gus Redding | Imperial B | Southampton A | 120 | 10 |
| Braxton Davis | Missouri A | Georgia Tech A | 120 | 10 |
| 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 |
| 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 |
| 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 |
| 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 |
| Patrick Hartley | Warwick B | Oxford C | 121 | 10 |
| Ezra Siegartel | Vassar | NYU B | 121 | 0 |
| Yoyo Liu | UBC B | Brock | 121 | 10 |
| Todd Maslyk | Michigan A | Ohio State 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 |
| Snehan Saroch | Louisville A | Georgia Tech B | 121 | 10 |
| Ted Warner | Bristol | Cambridge B | 121 | 10 |
| Alec Riso | Cornell A | RIT | 121 | 10 |
| Jordan Parker-Martin | Rochester | Binghamton A | 121 | 0 |
| Ariyan Miah | Binghamton A | Rochester | 121 | 0 |