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Cuprate

Cuprates are a class of chemical compounds containing atoms in a formal anionic state, including oxides, coordination complexes, and organocopper compounds. Oxide cuprates, in particular, are layered -oxide materials primarily known as high-temperature superconductors, featuring alternating planes of and (CuO₂) separated by charge reservoir layers that enable doping or doping to induce . These materials exhibit the highest superconducting transition temperatures (T_c) under ambient pressure among known superconductors, with the record held by mercury-based cuprates reaching up to 135 K. Discovered in 1986 by J. and K. in a lanthanum-barium--oxide system with an initial T_c of 35 K, cuprates revolutionized research by surpassing the theoretical limits of conventional phonon-mediated superconductors and operating above the of (77 K). The structural hallmark of oxide cuprates is their perovskite-like layered architecture, where the active superconducting layers consist of square-planar CuO₂ units forming a two-dimensional lattice with lattice constants around 3.8 , interleaved with insulating or charge-donating blocks such as or rare-earth oxides. Common prototypes include YBa₂Cu₃O₇₋δ (YBCO, T_c ≈ 93 K), La₂₋ₓSrₓCuO₄ (LSCO), and Bi₂Sr₂CaCu₂O₈₊δ (BSCCO, T_c ≈ 90 K), with over 300 variants synthesized to date. Undoped cuprates are Mott insulators with antiferromagnetic order, but introducing charge carriers via chemical doping—typically holes in p-type systems or electrons in n-type—transforms them into superconductors, with optimal T_c occurring at specific doping levels around 0.16 holes per Cu atom. Despite their technological promise for applications like efficient , , and due to high T_c and critical fields, the microscopic mechanism of cuprate remains elusive, defying conventional . Key phenomena include d-wave pairing symmetry of Cooper pairs, a above T_c, and strong correlations, which have driven decades of research using techniques like (ARPES). Ongoing studies explore strain effects, inter-layer coupling, and exotic phases to push T_c higher and uncover universal principles for room-temperature .

General Properties

Definition and Nomenclature

Cuprates are a class of chemical compounds featuring in anionic or complex forms, where the coordination entity carries a formal negative charge, with the copper atom in a positive (typically +1 or +2) as part of a coordination entity. These anions often exhibit diverse geometries and oxidation states, primarily +1 or +2 for , and are stabilized by ligands such as halides, cyanides, or oxides./Coordination_Chemistry/Structure_and_Nomenclature_of_Coordination_Compounds/Nomenclature_of_Coordination_Complexes) The nomenclature "cuprate" originates from the Latin cuprum (copper), employing the traditional "-ate" suffix for metal-containing anions, a convention rooted in early 20th-century . This naming practice, documented as early as the mid-20th century in studies of coordination compounds, emphasized anionic species to distinguish them from neutral or cationic derivatives. By the late , following the discovery of in materials, the term evolved in scientific literature to prominently denote layered perovskite-like structures containing copper-oxygen anions, broadening its application beyond simple coordination complexes. Specific naming follows IUPAC additive rules, prefixing ligands alphabetically (with multiplicative prefixes like "di-" or "tetra-") before "cuprate," followed by the in if ambiguous. For instance, the anion [Cu(CN)2]- is designated dicyano(I), reflecting copper in the +1 state with two ligands. Similarly, simple ions like [CuO2]2- are named dioxidocuprate(II), highlighting the formal Cu(II) center with two ligands. Higher s, such as Cu(III) or Cu(IV), retain "cuprate" in most cases, though rare variants like "copperate" appear in older or specialized contexts for elevated states.

Structure and Bonding

Cuprates exhibit a blend of ionic and covalent bonding characteristics, influenced significantly by the d-orbital participation of copper in interactions with oxygen or other ligands. In many cuprate systems, particularly those involving Cu-O bonds, the bonding is predominantly covalent due to strong hybridization between the copper 3d orbitals and oxygen 2p orbitals, which deviates from a purely ionic model where spins are localized on Cu²⁺ ions. This covalency arises from the overlap of Cu 3d_{x²-y²} and O 2p_σ orbitals, leading to partial electron delocalization and altered magnetic properties compared to ionic expectations. Such hybridization enhances bond strength but also contributes to the complexity of electronic structures in cuprates across various oxidation states. The preferred coordination geometries of cuprates vary with the copper oxidation state, reflecting differences in d-electron configurations. For Cu(I) (d¹⁰), tetrahedral geometry is common, as seen in complexes with soft donors like sulfur or halides, where the closed-shell configuration favors lower coordination numbers without ligand-field stabilization. In contrast, Cu(II) (d⁹) complexes typically adopt square planar arrangements, especially with nitrogen or oxygen donors, due to the stabilization of the half-filled d-shell in this geometry. However, when six-coordinate, Cu(II) cuprates often display distorted octahedral structures, characterized by the Jahn-Teller effect, which elongates axial bonds (e.g., Cu-O axial distances ~2.3-2.5 Å versus equatorial ~1.9 Å) to relieve degeneracy in the e_g orbitals. For higher oxidation states, Cu(III) (d⁸) favors square planar geometry with strong equatorial bonds to nitrogen ligands, while Cu(IV) (d⁷) complexes exhibit square pyramidal or distorted octahedral distortions, often with an apical oxide ligand and shorter Cu-N bonds (~1.95 Å). These geometric preferences arise from minimizing electronic repulsion and maximizing orbital overlap in the respective d-configurations. Spectroscopic techniques reveal distinctive signatures of cuprate bonding, particularly through (EPR) and ultraviolet-visible (UV-Vis) spectroscopy. EPR spectra of Cu(II) cuprates, with their d⁹ configuration, typically show anisotropic g-values (g_{||} > g_{⊥} > 2.0) and hyperfine splitting from the ⁶³Cu nucleus (A_{||} ~ 150-200 G), indicative of the in the d_{x²-y²} orbital and Jahn-Teller along the axial direction. UV-Vis spectra of Cu(II) complexes display broad d-d transitions in the visible region (e.g., ~600-800 nm for square planar species), attributed to excitations from the filled d_{xy}, d_{xz}, d_{yz} orbitals to the half-empty d_{x²-y²} orbital, with intensities enhanced by vibronic coupling in distorted geometries. For Cu(I) and higher states, EPR is often silent due to even electron counts, but UV-Vis shows charge-transfer bands (e.g., ligand-to-metal in Cu(III) at ~400 nm), highlighting the increased covalency and shorter bond lengths in these oxidized forms. These spectroscopic features provide direct probes of the d-orbital involvement and bonding in cuprates.

Oxide Cuprates

Perovskite and Layered Structures

Oxide cuprates often adopt structures derived from the motif, where the general ABO₃ formula is adapted to incorporate copper in octahedral coordination. In these materials, copper occupies the B-site, forming CuO₆ octahedra that share edges to create corner-linked networks, while larger cations like fill the A-site. A prototypical example is La₂CuO₄, which crystallizes in the K₂NiF₄-type structure—a layered variant of the —featuring alternating rock-salt (La₂O₂) and -like (LaCuO₃) layers. In this arrangement, the CuO₆ octahedra are distorted due to the Jahn-Teller effect, with elongated axial Cu-O bonds perpendicular to the plane. Layered structures in cuprates extend this perovskite-derived motif through Ruddlesden-Popper phases, characterized by the general formula A_{n+1}B_nO_{3n+1}, where n denotes the number of consecutive perovskite layers. For n=1, as in La₂CuO₄, the structure consists of infinite CuO₂ planes formed by the equatorial oxygens of edge-sharing CuO₆ octahedra, separated by bilayers of A-site cations and oxygen. Higher-order phases (n>1) stack additional perovskite blocks, maintaining the CuO₂ planes as a core structural element while varying interlayer spacing and connectivity. These phases exhibit structural flexibility, allowing for octahedral tilting and rotation that accommodate ionic size differences and doping. Synthesis of these and layered cuprates typically involves solid-state reactions, where stoichiometric mixtures of metal oxides or carbonates—such as La₂O₃ and CuO—are ground, pelletized, and heated in air or oxygen atmospheres at temperatures around 900–1100°C for extended periods to promote and phase formation. Doping variations, like substituting Sr²⁺ for La³⁺ in La₂CuO₄ to form La_{2-x}Sr_xCuO₄, are achieved by adjusting precursor ratios and annealing conditions to introduce charge carriers while preserving the layered framework; single crystals can be grown via flux methods or optical floating zone techniques for precise control. Non-superconducting oxide cuprates provide simpler structural analogs, such as BaCuO₂, which adopts a tetragonal structure ( P4/mmm) with isolated CuO₄ square-planar units rather than extended octahedral networks, synthesized via solid-state reactions of BaO and CuO at high temperatures. This compound exemplifies early cuprate phases without the complexity of layering, highlighting the role of in dictating .

High-Temperature Superconductivity

The discovery of high-temperature superconductivity in cuprates began with the work of J. Georg Bednorz and K. Alex Müller at IBM's Zurich Research Laboratory, who reported in 1986 the observation of superconductivity at 35 K in a barium-doped lanthanum copper oxide (La-Ba-Cu-O) system. This breakthrough, published in Zeitschrift für Physik B, marked the first evidence of superconductivity above the 23 K limit of previously known materials and earned Bednorz and Müller the 1987 Nobel Prize in Physics for their pivotal role in identifying oxide cuprates as a new class of superconductors. Their findings triggered rapid advancements, leading to the synthesis of materials with higher critical temperatures (T_c) within months. Among the key , (YBa_2Cu_3O_7, or YBCO) stands out, discovered in 1987 by M. K. Wu and colleagues, exhibiting a T_c of 93 —above the of (77 ). This orthorhombic perovskite-like structure features CuO_2 planes essential for its superconducting properties. Another prominent family is (Bi-Sr-Ca-Cu-O, or BSCCO), with the Bi-2223 phase (Bi_2Sr_2Ca_2Cu_3O_{10+δ}) achieving a T_c of approximately 110 , enabling practical cooling with . These materials, characterized by layered structures with CuO_2 planes, represent milestones in raising T_c values for cuprates. The superconducting mechanism in cuprates involves unconventional d-wave pairing of electrons within the CuO_2 planes, where the pairing symmetry features nodes along certain directions, contrasting with the s-wave pairing in conventional superconductors. Doping with charge carriers, such as holes introduced via oxygen or substituent cations, is crucial: underdoping suppresses T_c while enhancing a pseudogap—a partial energy gap in the electronic that appears above T_c and diminishes with increasing doping toward optimal levels around 0.16 holes per Cu atom. This pseudogap, observed in underdoped regimes, reflects strong electron correlations and competing orders, influencing the onset of d-wave superconductivity. Applications of cuprate superconductors leverage their high T_c for efficient, low-loss operations. In magnetic resonance imaging (MRI) systems, YBCO-based magnets generate strong, stable fields with reduced cryogen needs compared to low-temperature superconductors. For , BSCCO wires enable high-capacity cables that minimize dissipation over long distances, as demonstrated in pilot projects like those by the U.S. Department of Energy. However, challenges persist, particularly : in applied magnetic fields, vortex motion dissipates , limiting critical currents; enhancing pinning through defects or nanoparticles in YBCO films is essential for high-field performance but remains an hurdle. As of 2025, researchers have observed emerging from the Néel state in infinite-stage cuprates, advancing understanding of the Mott-insulating parent compounds.

Coordination Complexes

Copper(I) Complexes

Copper(I) coordination complexes, key components in cuprate chemistry, exhibit a preference for soft donor ligands such as phosphines and halides due to the soft acid character of (I). These ligands often form tetrahedral geometries, as seen in the representative complex [Cu(PPh₃)₄]⁺, where four ligands coordinate to the center, providing steric protection and electronic stabilization. Halide ligands, such as or , can also yield tetrahedral arrangements, for instance in [CuX(PPh₃)₃] species (X = Cl, , I), which maintain distorted tetrahedral coordination around (I). In contrast, with ligands, linear two-coordinate structures predominate, exemplified by the dicyanocuprate(I) anion [Cu(CN)₂]⁻ in KCu(CN)₂, where the linear arises from the strong σ-donor and π-acceptor properties of CN⁻. Synthesis of Copper(I) complexes typically involves the reduction of Copper(II) precursors under inert atmospheres to prevent oxidation by air. Common methods include the addition of reducing agents like ascorbic acid or hydrazine to Cu(II) salts in the presence of stabilizing ligands, yielding air-sensitive Cu(I) species in high yield. For phosphine-based complexes, such as [Cu(PPh₃)₄]⁺, the reduction of CuCl₂ with sodium borohydride in ethanol under nitrogen atmosphere, followed by ligand addition, affords the product as a white precipitate. Similarly, KCu(CN)₂ is prepared by dissolving CuCN and excess KCN in a minimum amount of water with gentle heating, followed by filtration and crystallization of the stable crystalline solid. Stability of Copper(I) complexes is often challenged by to Cu(0) and Cu(II), particularly in protic solvents like , where the 2Cu(I) → Cu(0) + Cu(II) proceeds rapidly due to unfavorable potentials. This instability arises from the intermediate of Cu(I), making it prone to auto- processes unless stabilized by chelating soft ligands. However, certain cuprates like KCu(CN)₂ demonstrate remarkable stability, resisting even in aqueous media owing to the strong binding of CN⁻ ligands that shift the equilibrium. complexes, such as [Cu(PPh₃)₄]⁺, are more stable in non-aqueous environments but decompose upon exposure to oxygen or moisture. The reactivity of (I) complexes stems from their soft acid nature, enabling them to serve as precatalysts in various transformations, including the copper-catalyzed azide-alkyne (CuAAC). In CuAAC, (I) species like [Cu(PPh₃)Br] or in situ generated from (II) reductions activate terminal alkynes via σ-π coordination, facilitating regioselective 1,4-triazole formation with azides under mild conditions. This behavior highlights (I)'s role in and materials synthesis, where choice modulates activity and selectivity.

Copper(II) Complexes

Copper(II) complexes represent a significant of coordination compounds in cuprate chemistry, characterized by the Cu^{2+} ion's preference for ligands with and oxygen donor atoms. These ligands form stable chelates, often resulting in square planar or distorted octahedral geometries. A classic example is the diaquatetraamminecopper(II) ion, [Cu(NH_3)_4(H_2O)_2]^{2+}, where four equatorial NH_3 ligands and two axial H_2O ligands coordinate the metal center in a Jahn-Teller distorted . Similarly, salen-type ligands, derived from N,N'-bis(salicylidene), yield square planar Cu(II) complexes such as [Cu(salen)], which feature bidentate N_2O_2 coordination and are notable for their catalytic properties. The electronic structure of Cu(II) complexes arises from the d^9 configuration, imparting due to a single (S = 1/2). This configuration often leads to elongated axial bonds in octahedral environments via Jahn-Teller distortion, as briefly referenced in bonding discussions. In polynuclear systems, such as dimers bridged by oxygen or nitrogen , antiferromagnetic coupling between Cu(II) centers is prevalent, with exchange coupling constants J typically ranging from -10 to -100 cm^{-1}, depending on the bridge angle and ligand field. (EPR) spectroscopy confirms this paramagnetism, showing g-values around 2.1-2.2 indicative of d_{x^2-y^2} . Synthesis of Cu(II) complexes is straightforward, typically involving direct reaction of Cu(II) salts like CuSO_4 or CuCl_2 with the in aqueous or alcoholic media. For instance, [Cu(NH_3)_4(H_2O)_2]^{2+} forms by adding excess to Cu^{2+}(aq) solutions, displacing ligands stepwise. The tetracyanocuprate(II) anion in K_2[Cu(CN)_4] is prepared by treating Cu(II) salts with excess KCN under controlled conditions to avoid reduction to Cu(I), yielding a square planar complex with strong Cu-CN π-backbonding. In , Cu(II) complexes serve as models for the active sites of copper-containing enzymes. Dinuclear Cu(II) systems with phenoxo or imidazolate bridges mimic the dioxygen-binding site of , an oxygen carrier in , enabling studies of reversible O_2 activation and magnetic interactions. These models have elucidated antiferromagnetic coupling in biological Cu_2 centers, with synthetic analogs reproducing spectroscopic features of the enzyme's deoxy and oxy forms.

Copper(III) and Copper(IV) Complexes

Copper(III) and copper(IV) coordination complexes represent rare high-oxidation-state species in cuprate chemistry, typically featuring d^8 and d^7 configurations, respectively, which impose significant and steric demands for . These complexes are challenging to isolate due to their propensity for instability, but advances in design have enabled their characterization and study as transient intermediates. Stabilization of copper(III) relies on strong σ-donor s that can accommodate the contracted d-orbitals and mitigate reductive tendencies, such as nitrogen-based macrocycles and -like systems. Tetraazamacrocycles like cyclam (1,4,8,11-tetraazacyclotetradecane) form Cu(III) complexes, such as [Cu(cyclam)]^{3+}, which exhibit enhanced solution stability in acidic media compared to open-chain analogs, with thermodynamic stability influenced by favorable entropy contributions from ligand preorganization. and corrole derivatives provide even greater stabilization through their rigid, anionic frameworks; for instance, N-confused/N-linked corroles support square-planar organocopper(III) species like CuNCC4, where the macrocyclic core donates electrons to the metal center, yielding diamagnetic complexes stable at . N-heterocyclic (NHC)-based macrocycles further enhance stability across oxidation states, adapting to Cu(III) geometries via strong σ-donation and minimal activity of the ligand. Copper(IV) complexes are exceedingly uncommon and generally transient, requiring even more robust ligands to prevent immediate . Macrocyclic ligands such as 3,7,11,15-tetraazacyclohexadecane-1,4,8,11-tetraacetic acid enable (IV) stabilization in discrete complexes, where the tetradentate donors and pendant carboxylates provide multidentate to offset the high . Electrochemical studies have detected transient Cu(IV) , such as those derived from oxidation of Cu(III)-terpyridine complexes like [Cu(tpy)_2]^{3+}, which appear as short-lived intermediates during multi-electron transfers but revert rapidly to lower valent forms. Synthesis of these high-valent cuprates often proceeds via or single-electron transfer (SET) oxidation of Cu(II) precursors. For Cu(III), of alkyl halides to Cu(II) complexes, or more commonly, chemical oxidation (e.g., with Ce(IV) or electrochemical methods) of Cu(II)- adducts, generates the target species; for example, air oxidation of Cu(II)-corrole yields the stable Cu(III)-NCC4 complex. Cu(IV) formation typically involves further oxidation of Cu(III), such as anodic electrolysis of Cu(III)-azamacrocycle solutions, though yields are low due to competing side reactions. Despite these advances, Cu(III) and Cu(IV) complexes remain inherently unstable, decomposing via , oxidation, or pathways. Cu(III) species, like those supported by porphyrins, often undergo thermal to Cu(I) and organic products, with half-lives on the order of hours at ambient conditions unless rigidly constrained by macrocycles. In aqueous or protic media, [Cu(cyclam)]^{3+} decomposes through base-catalyzed processes, reverting to Cu(II) with accelerating the rate. Cu(IV) exhibits even greater lability, with decomposition often involving rapid to solvents or ligands, limiting isolation to cryogenic or non-coordinating environments. These high-valent cuprates play crucial roles as reactive intermediates in copper-catalyzed oxidations, particularly C-H activation processes. In electrochemical C-H fluorination, isolable Cu(III)-F complexes, such as those with β-diketiminate ligands, facilitate selective from alkanes, followed by transfer, enabling catalytic turnover under mild conditions. Similarly, aryl-Cu(III) species generated in aerobic oxidations mediate C-H methoxylation or amidation by nucleophilic attack on the metal center, with O_2 serving as the terminal oxidant to regenerate the catalyst. Such mechanisms underscore the utility of Cu(III)/Cu(IV) couples in synthetic transformations, bridging coordination chemistry with reactivity.

Organic Cuprates

Gilman Reagents and Dialkylcuprates

Lithium dialkylcuprates, commonly referred to as Gilman reagents, are organocopper(I) compounds with the general formula \ce{R2CuLi}, where R is an alkyl group. These reagents exhibit remarkable utility in organic synthesis due to their ability to form carbon-carbon bonds selectively under mild conditions. They are typically prepared by the reaction of two equivalents of an alkyllithium reagent with copper(I) iodide in an ether solvent at low temperatures, according to the equation \ce{2 RLi + CuI -> R2CuLi + LiI}. A classic example is lithium dimethylcuprate, \ce{(CH3)2CuLi}, formed from methyllithium and CuI. Gilman reagents display soft nucleophilic behavior stemming from the polarizable copper-carbon bonds, which aligns with the hard-soft acid-base (HSAB) theory and confers high selectivity for soft electrophiles. This property is particularly evident in their preference for conjugate addition pathways. However, these compounds are thermally unstable and must be handled at low temperatures, such as -78^\circC, to avoid decomposition into neutral alkylcopper species (RCu) and alkyllithium (RLi). One key application is the 1,4-conjugate addition to \alpha,\beta-unsaturated carbonyl compounds, where the alkyl group from the cuprate adds to the \beta-position, yielding \beta-substituted carbonyl products. For example, treatment of mesityl oxide with \ce{(CH3)2CuLi} affords the 1,4-adduct 4,4-dimethylpentan-2-one in high yield. This selectivity contrasts with the 1,2-addition typically observed with organolithium or Grignard reagents. Gilman reagents also enable the Corey-House synthesis for coupling two alkyl groups via reaction with an alkyl halide, \ce{R'X}, to produce \ce{R-R' + RCu + LiX}. This method provides a reliable route to symmetrical or unsymmetrical alkanes, often with good yields for primary and secondary halides, and has been instrumental in complex molecule assembly.

Other Organocopper Compounds

Beyond the classic dialkylcuprates, aryl and vinyl variants of organocopper reagents play crucial roles in constructing carbon-carbon bonds with high stereocontrol. Aryl cuprates, exemplified by lithium diphenylcuprate (Ph₂CuLi), are typically prepared by treating two equivalents of phenyllithium with copper(I) iodide in ethereal solvents at low temperatures, yielding a reagent stable under anhydrous conditions. These species facilitate stereospecific cross-couplings with vinyl and aryl halides, often proceeding via oxidative addition and reductive elimination pathways that preserve the geometric integrity of the substrates, enabling the synthesis of stilbenes and other conjugated systems with applications in materials chemistry. Vinyl cuprates extend this , particularly in retaining the of vinylic units during conjugate additions or substitutions. Prepared analogously from vinyllithium precursors and (I) salts, such as (Z)- or (E)-1-propenylcuprates, these reagents react with α,β-unsaturated carbonyls or allylic electrophiles to deliver the with >95% retention, as demonstrated in the of stereodefined olefins from substituted α-carbethoxyvinyl cuprates. This property has been leveraged in total syntheses requiring precise double-bond geometry, including pheromones and fragments, where alternative methods like Wittig reactions fall short in selectivity. Cyanocuprates and mixed variants, such as RCu(CN)Li, introduce cyanide ligands to modulate reactivity, providing milder nucleophilicity compared to unsubstituted cuprates. Formed by combining one equivalent of organolithium with copper(I) cyanide, these lower-order species exhibit enhanced solubility in organic solvents and reduced basicity, allowing selective 1,4-additions to enones under conditions that tolerate sensitive functional groups like esters or acetals. This milder profile has proven advantageous in multi-step syntheses, where over-addition or enolization is minimized, yielding ketones or allylic alcohols in 70-90% efficiency. Higher-order cuprates, represented as R₂Cu(CN)Li₂, further expand the toolkit by incorporating two organolithium equivalents per unit, resulting in complexes with purportedly discrete structures that enhance reactivity toward challenging electrophiles. These , pioneered in the late , enable efficient substitutions with primary chlorides or allylic acetates at temperatures as low as -78°C, often transferring both R groups in sequential manner and outperforming standard Gilman reagents in and for sterically hindered systems. Structural studies via NMR confirm the presence of -bridged aggregates that stabilize the active , contributing to their thermal robustness and broad applicability in complex assembly. Post-2000 advancements have focused on asymmetric variants of these organocopper reagents, integrating chiral ligands to achieve enantioselective synthesis. Copper-catalyzed conjugate additions using phosphoramidite or TADDOL-derived ligands with dialkyl- or divinylcuprates derived from Grignard precursors deliver products with enantiomeric excesses exceeding 95%, as seen in the efficient alkylation of cyclic enones for pharmaceutical intermediates. These developments, building on earlier stoichiometric approaches, have enabled scalable enantioselective routes to natural products like muscone analogs, emphasizing ligand acceleration effects that reduce catalyst loadings to <1 mol%.