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This additional symmetry modifies the FQHE and is conjectured to produce new incompressible ground states in graphene. The measured energy gaps are large, particularly in the second Landau level, where they are up to 10 times larger than those reported in the cleanest conventional systems.

At partial filling, exchange interactions can break this symmetry, manifesting as further Hall plateaus outside the normal integer sequence. Andrew Evans, “Ligand–assisted Spin Delocalization in Dicopper(I, II) Cores: Use of Bulky Amidnate Ligands to Access Novel Tetra– and Dicopper Clusters” Xuan Jiang, John C. Parkin, “Evidence for Through–Space Electron Transfer in the Distance Dependence of Normal and Inverted Electron Transfer in Oligoproline Arrays” Scafford A. In the high-energy LLs the Zeeman effect is the dominant aligning field, leading to real spin ferromagnets hosting skyrmionic excitations at half filling, whereas in the ‘relativistic’ zero LL lattice scale interactions drive the system to a spin unpolarized state. In graphene, the structure of the honeycomb lattice endows the electron wavefunctions with an additional quantum number, termed valley isospin, which, combined with the usual electron spin, yields four-fold degenerate Landau levels (LLs; refs 6, 7). See also: Low rates of Se volatilization from selenate-supplied Muskgrass (10-fold less than from selenite) may be due to a major rate limitation in the reduction of selenate to organic forms of Se in Muskgrass.

[125] "Assessment of the Chelating Effect of a Modulated Oxygen Sphere in Enterobactin Analogs on Si, Ge, and Ti Binding" Todor Baramov, Bianca Schmid, Ho Ryu, Jinhoon Jeong, Karlijn Keijzer, Leonard von Eckardstein, Elisabeth Irran, Pierre-Loïc Saaidi, Mu-Hyun Baik, Roderich Süssmuth, [122] "Room Temperature Ring-Opening of Quinoline and Isoquinoline with Low-Valent Titanium" Seung-yeol Baek, Dahye Kang, Masahiro Kamitani, Seongyeon Kwon, Takashi Kurogi, Doug Solowey, Chun-Hsing Chen, Maren Pink, Patrick J. Mindiola and Mu-Hyun Baik, [120] "Fe(III)-Catalysts for the Selective Formation of Cyclic Carbonate from CO2 and Internal Epoxides: A Combined Computational and Experimental Study" Indranil Sinha, Yuseop Lee, Choongman Bae, Samat Tussupbayev, Yujin Lee, Min-Seob Seo, Jin Kim, Mu-Hyun Baik, Yunho Lee, and Hyunwoo Kim, [119] "Effects of Varying the 6-Position Oxidation State of Hexopyranoses: A Systematic Comparative Computational Investigation of 48 Monosaccharide Stereoisomers" Alison E. In the lowest Landau level the hierarchy of FQH states reflects the additional valley degeneracy. performed all experiments including sample fabrication and measurement, and wrote the paper. Tran, Soumya Ghosh, Chung-Hsing Chen, Maren Pink, Xinfeng Gao, Mu-Hyun Baik, and Daniel J. Mindiola, “Intermolecular C–H Bond Activation of Benzene and Pyridines by a Vanadium(III) Alkylidene Including a Stepwise Conversion of Benzene to a Vanadium–Benzyne Complex” José G. Mindiola, “ESI–MS, DFT, and Synthetic Studies on the H2–Mediated Coupling of Acetylene: Insertion of C=X Bonds into Rhodacyclopentadienes and Brønsted Acid Cocatalyzed Hydrogenolysis of Organorhodium Intermediates” Vanessa M. Heyduk, “Rhodium–Catalyzed Pauson–Khand Reaction: Computational and Experimental Evidence for the Diastereoselectivity Being Dependent on the CO–Pressure” Huijun Wang, James R. Andrew Evans and Mu-Hyun Baik, “Intermolecular C–H Activation of Hydrocarbon Promoted by Transient Titanium Alkylidynes. Mindiola, “Synthesis, Structure and Properties of Low–Spin Manganese(III)–Poly(pyrazolyl)borate Complexes” Ferdaus Hossain, Matthew A. A Pseudo Jahn–Teller Effect of Second Order Stabilizing the V–P Multiple Bond” Falguni Basuli, Brad C. Mindiola, “How Iron–Containing Proteins Control Dioxygen Chemistry: A Detailed Atomic Level Description via Accurate Quantum Chemical and Mixed Quantum Mechanics/Molecular Mechanics Calculations” Richard A. Lippard, “Hydroxylation of Methane by Non–Heme Diiron Enzymes: Molecular Orbital Analysis of the C–H Bond Activation by Reactive Intermediate Q” Mu-Hyun Baik, Benjamin F. Trovitch, “Addition of Si—H and B—H Bonds and Redox Reactivity Involving Low-Coordinate Nitrido Vanadium Complexes” Ba L. Krzystek, Joshua Telser, Maren Pink, Mu-Hyun Baik, and Daniel J. Alkylation Reactions As An Efficient Route to Functionalized cis–Bicyclo[3.3.0]octenes” David R. Mindiola, “Terminal and Four–Coordinate Vanadium(IV) Phosphinidene Complexes. Friesner, “A Non–Classical Hydrogen Bond in the Molybdenum Arene Complex [h6–C6H5C6H3(Ph)OH]Mo(PMe3)3: Evidence that Hydrogen Bonding Facilitates Oxidative Addition of the O–H Bond” Tony Hascall, Mu-Hyun Baik, Brian M. 2016,“The Electronic Structure of [Mn(V)=O]: What is the Connection Between Oxyl Radical Character, Physical Oxidation State, and Reactivity? DFT Analysis of the C–F Bond Activation Pathway and Rotation of the Titanium Alkylidene Moiety” José G.