23. Two closely overlapping bands often observed for $\left[\mathrm{Cu}\left(\mathrm{H}_{2} \mathrm{O}\right)_{6}\right]^{2+}$ are most directly explained by:
(A) Spin-forbidden transitions only
(B) Jahn-Teller distortion splitting $e_g$ levels
(C) Tetrahedral contamination
(D) Only LMCT
(E) Only metal-metal bonding 

24. Which of the following statements about fullerenes (C₆₀ & C₇₀) is      incorrect     ? (A) C₆₀ belongs to the I₁₁ point group and has the highest symmetry among all known fullerenes (B) C₇₀ generally shows broader and red-shifted UV-Vis absorption compared with C₆₀ (C) Both C₆₀ and C₇₀ act as efficient electron acceptors due to their low-lying LUMO levels (D) Each carbon atom in both C₆₀ and C₇₀ is sp³-hybridized (E) C₇₀ has a symmetry point group (D₅ₕ) and an ellipsoidal shape

25. Which of the following steps is      NOT      involved in the catalytic cycle of the Buchwald-Hartwig coupling? (A) Oxidative addition of an aryl halide to Pd(0) (B) Coordination of the amine to the Pd(II) center (C) Deprotonation to form a Pd-amido intermediate (D) Reductive elimination to form the C-N bond (E) Transmetalation from an organoboron reagent to Pd(II)

26. In the solid state, an oxygen vacancy in an oxide typically acts as: (A) An acceptor producing holes (B) A donor producing electrons (C) A neutral defect with no electronic consequence (D) A defect that always widens the band gap (E) A defect that always creates p-type conductivity

27. Increasing the metal content in ZnO to form Zn-rich ZnO most plausibly leads to: (A) p-type conductivity via zinc vacancies (B) n-type conductivity via donor defects (C) No change due to stoichiometry conservation (D) A molecular (not solid-state) species (E) Metallic conductivity in all cases

28. Which lattice has the highest packing efficiency? (A) Simple cubic (B) Body-centered cubic (C) Face-centered cubic (D) Primitive tetragonal (E) Orthorhombic

29. In a p-n junction under forward bias, current flows mainly because: (A) Electrons and holes recombine at the junction after overcoming reduced barrier (B) The depletion region widens (C) Only holes move; electrons remain fixed (D) Only electrons move; holes remain fixed (E) The band gap collapses to zero 

30. In octahedral ligand field theory, which orbital set is stabilized by $\pi$-acceptor ligands? (A) $e_g$ (B) $t_{2g}$ (C) $s$ (D) $p$ (E) all orbitals equally 

複選題31. Which of the following statements about periodic trends in electron affinity (EA) and ionization energy (IE) are correct? (A) First ionization energy generally increases from left to right across a period due to increasing effective nuclear charge (B) Electron affinity always becomes more negative down a group because atomic size increases (C) Noble gases have very low ionization energies because of their stable electron configurations (D) The first ionization energy of oxygen is lower than that of nitrogen due to electron-electron repulsion in the $2p$ orbitals (E) Halogens have small electron affinities because their valence shells are already nearly filled

複選題32. Which of the following statements correctly describe the 18-electron rule and its application to organometallic complexes? (A) The 18-electron rule applies equally well to both main-group compounds and transition-metal complexes (B) Complexes that follow the 18-electron rule are typically low-spin and diamagnetic (C) In square-planar $\mathrm{d}^8$ complexes such as $[\mathrm{PtCl}_4]^{2-}$, the metal center satisfies the 18-electron rule (D) $\pi$-acceptor ligands such as CO contribute two electrons per ligand to the metal center (E) The 18-electron rule predicts stability when the metal center achieves a noble-gas-like configuration with 18 valence electrons

複選題33. Which of the following statements about frustrated Lewis pairs (FLPs) are correct? (A) FLPs consist of a Lewis acid and a Lewis base that are prevented from forming a stable adduct due to steric hindrance (B) FLPs activate $\mathrm{H}_{2}$ via oxidative addition at the Lewis acid center (C) Both the Lewis acid and the Lewis base participate cooperatively in the heterolytic cleavage of $\mathrm{H}_{2}$ (D) FLP systems require transition metals to activate small molecules such as $\mathrm{H}_{2}$ or $\mathrm{CO}_{2}$ (E) In FLP chemistry, decreasing steric hindrance generally enhances the ability to activate $\mathrm{H}_{2}$

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