Question
These mathematical objects express kinetic energy and the exchange-correlation energy in terms of the squared modulus of the wavefunction. For 10 points each:
[10h] Identify these objects that name a quantum mechanical paradigm governed by the Hohenberg–Kohn theorem.
ANSWER: density functionals [or functionals of electron density; accept density functional theory; accept energy functionals; prompt on functionals by asking "of what quantity?"; prompt on DFT; reject "functions"]
[10e] The Hohenberg–Kohn theorem says that a system's electron density is uniquely determined by the energy of this state. A system in this state has its lowest possible energy.
ANSWER: ground state
[10m] Density functional theory provides approximate solutions to the Schrödinger equation for atoms other than this element. The Bohr model only describes atoms that are "[this element]-like."
ANSWER: hydrogen [or H]
<Science - Chemistry>
Data
Summary
| Tournament | Edition | Exact Match? | Heard | PPB | Easy % | Medium % | Hard % |
|---|---|---|---|---|---|---|---|
| 2025 PACE NSC | 06/07/2025 | Y | 42 | 18.57 | 86% | 98% | 2% |