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
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