Question
This property often occurs in systems with a pyrochlore lattice, which consists of tetrahedra connected by their vertices. For 10 points each:
[10h] Name this property of systems whose geometry prohibits them from simultaneously minimizing all interactions, resulting in many degenerate ground states. Exotic states like spin ice can occur in systems with this property.
ANSWER: geometrical frustration
[10e] Spin ice is named because the spins on a pyrochlore lattice are directly analogous to protons in water ice, so the two systems have the same residual value of this quantity. This quantity is equal to k times the log of the number of microstates.
ANSWER: entropy [or S]
[10m] Due to geometrical frustration, this property cannot occur in a triangular lattice. In this form of magnetism that occurs below the Néel (“nay-EL”) temperature, all neighboring spins point in [emphasize] opposite directions.
ANSWER: anti-ferromagnetism
<VD, Physics>
Summary
| 2024 ARCADIA at BU | 2024-12-06 | Y | 8 | 7.50 | 63% | 13% | 0% |
| 2024 ARCADIA at Duke | 2024-12-06 | Y | 3 | 13.33 | 67% | 33% | 33% |
| 2024 ARCADIA at Missouri S&T | 2024-12-06 | Y | 1 | 10.00 | 100% | 0% | 0% |
| 2024 ARCADIA Online | 2025-05-17 | Y | 5 | 20.00 | 100% | 60% | 40% |
| 2024 ARCADIA at Penn State | 2024-12-06 | Y | 2 | 5.00 | 50% | 0% | 0% |
| 2024 ARCADIA at Florida Tech | 2024-12-06 | Y | 4 | 15.00 | 75% | 50% | 25% |
| 2024 ARCADIA at UC Berkeley | 2024-12-06 | Y | 2 | 25.00 | 100% | 50% | 100% |
| 2024 ARCADIA at Waterloo | 2024-11-09 | Y | 6 | 13.33 | 67% | 33% | 33% |
| 2024 ARCADIA at GT | 2024-12-06 | Y | 3 | 16.67 | 100% | 33% | 33% |
| 2024 ARCADIA at Illinois | 2024-11-09 | Y | 4 | 22.50 | 100% | 75% | 50% |
| 2024 ARCADIA at Warwick | 2024-12-06 | Y | 5 | 12.00 | 100% | 20% | 0% |
| 2024 ARCADIA at Claremont | 2024-11-02 | Y | 3 | 16.67 | 100% | 33% | 33% |
Data
| Amherst | Boston University | 0 | 10 | 0 | 10 |
| Bowdoin C | Boston College A | 0 | 0 | 0 | 0 |
| Boston College B | Brandeis B | 0 | 0 | 0 | 0 |
| Bowdoin B | MIT | 0 | 10 | 0 | 10 |
| Tufts B | Clark House | 0 | 10 | 0 | 10 |
| Harvard | Clark Wilson | 0 | 10 | 0 | 10 |
| Tufts A | Bowdoin A | 0 | 10 | 10 | 20 |
| Brandeis A | Yale | 0 | 0 | 0 | 0 |
| South Carolina | Virginia Tech A | 0 | 10 | 0 | 10 |
| North Carolina A | Virginia Tech B | 0 | 0 | 0 | 0 |
| North Carolina B | Virginia Tech C | 10 | 10 | 10 | 30 |
| Missouri | WashU | 0 | 10 | 0 | 10 |
| In the Mood for Buzz | Madmen and Specialists | 0 | 10 | 10 | 20 |
| Social credit go vroom | Old and Young | 0 | 10 | 0 | 10 |
| Paddington in Peru (2024) | ASU->Stanford->ASU pipeline | 10 | 10 | 0 | 20 |
| Toyota Tundra Turbos — Twisting Truths - Tackling Trivia - Taming Titans | she limp on my waltz till i feel pathetique | 0 | 10 | 10 | 20 |
| bingy academy | The cult of SGA | 10 | 10 | 10 | 30 |
| Penn State | RIT | 0 | 10 | 0 | 10 |
| Maryland | Pitt | 0 | 0 | 0 | 0 |
| Florida Tech | UF C | 0 | 10 | 0 | 10 |
| UCF A | UCF B | 0 | 10 | 10 | 20 |
| UF B | Valencia | 10 | 10 | 10 | 30 |
| USF | UF A | 0 | 0 | 0 | 0 |
| Berkeley A | Berkeley Past | 10 | 10 | 10 | 30 |
| Stanford | Berkeley B | 10 | 10 | 0 | 20 |
| McGill A | Toronto Disband the Club 2k24 | 0 | 10 | 0 | 10 |
| Waterloo Cloze | Waterloo Basic | 0 | 10 | 0 | 10 |
| Waterloo Aspidistra | Carleton A | 10 | 10 | 10 | 30 |
| Ottawa Absolomabsolomabsolom | Toronto B | 0 | 0 | 0 | 0 |
| Toronto A | Toronto Metropolitan A | 10 | 10 | 10 | 30 |
| Toronto Chestnut Rice and Kamehameha | McMaster ApocolocyntosisBidii | 0 | 0 | 0 | 0 |
| Georgia Tech D | Innovation Academy A | 0 | 10 | 0 | 10 |
| Johns Creek | Innovation Academy B | 0 | 10 | 0 | 10 |
| Georgia Tech A | Lambert | 10 | 10 | 10 | 30 |
| Notre Dame | Chicago B | 0 | 10 | 0 | 10 |
| Chicago A | Illinois Blue | 10 | 10 | 10 | 30 |
| Illinois Orange | Purdue B | 10 | 10 | 10 | 30 |
| Purdue A | SIUE | 0 | 10 | 10 | 20 |
| Imperial A | Warwick B | 0 | 10 | 0 | 10 |
| LSE B | Warwick C | 0 | 10 | 0 | 10 |
| Bristol | Cambridge A | 0 | 10 | 0 | 10 |
| Cambridge B | Southampton | 0 | 10 | 10 | 20 |
| Imperial B | Warwick A | 0 | 10 | 0 | 10 |
| SGV Ventures | Anderson et al. | 0 | 10 | 10 | 20 |
| Claremont | ALCU | 0 | 10 | 0 | 10 |
| U[C]SD | Jason et al. | 10 | 10 | 0 | 20 |