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
| Penn State | RIT | 0 | 10 | 0 | 10 |
| Maryland | Pitt | 0 | 0 | 0 | 0 |