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Solid oxygen

Solid oxygen is the condensed, crystalline form of the diatomic molecule O₂, which exists at cryogenic temperatures below its triple point of approximately 54.4 K (at standard atmospheric pressure) or under elevated pressures at higher temperatures. Unlike the solid forms of most other elements, solid oxygen is paramagnetic in its ground state due to the triplet electronic configuration of O₂, leading to antiferromagnetic ordering in certain phases and making it a rare example of a molecular magnet. It exhibits a rich polymorphism with at least nine distinct solid phases identified, each characterized by unique crystal structures, colors, and physical properties influenced by temperature, pressure, and magnetic fields.^[1]^[2] At ambient pressure and low temperatures, solid oxygen transitions through three primary phases: the α-phase (monoclinic structure, stable below 23.9 K), which is pale blue and antiferromagnetic; the β-phase (rhombohedral structure, 23.9–43.8 K), which appears pink; and the γ-phase (cubic structure, 43.8–54.4 K), which is orange. These low-pressure phases demonstrate strong coupling between lattice vibrations and magnetic spins, with the α-β transition involving both structural and magnetic reordering.^[1]^[2]^[3] Under high pressure, additional phases emerge, including the δ-phase (up to ~8–10 GPa, hosting multiple magnetic sublattices) and the ε-phase (stable from ~8 GPa to ~96 GPa, featuring red coloration and (O₂)₄ molecular clusters). The ε-phase is notable for its pressure-induced changes in vibrational modes and eventual insulator-to-metal transition around 96–100 GPa, where the diatomic structure persists but conductivity arises, potentially enabling superconductivity at very low temperatures (~0.6 K).^[4]^[2] Further compression reveals high-temperature phases like ζ and η (molecular, up to >130 GPa and 1500 K), with the molecular form of oxygen remaining stable even at extreme pressures exceeding 1 TPa, unlike polymeric phases in nitrogen or hydrogen.^[4]^[5] The phase diagram of solid oxygen, spanning pressures over 130 GPa, temperatures up to 1750 K along the melting curve, and magnetic fields beyond 100 T, highlights its versatility as a model system for studying spin-lattice interactions. Recent investigations have shown that ultrahigh magnetic fields (>100 T) can induce magnetostriction, altering the crystal structure through competing spin and lattice forces, demonstrating the profound influence of magnetism on its stability.^[4]^[2]^[6]

Overview

Definition and occurrence

Solid oxygen refers to the solid state of dioxygen (O₂), a diatomic molecule that transitions to this phase when gaseous or liquid oxygen is cooled below its triple point of 54.36 K or compressed at higher pressures, where the solid, liquid, and gas phases coexist in equilibrium at 0.00152 MPa.^[7] This form is distinct from atomic oxygen solids or oxides, preserving the O₂ molecular units held together primarily by weak intermolecular forces.^[8] In natural settings, solid oxygen is exceedingly rare on Earth due to the prevalence of the gaseous form in the atmosphere and its reactivity, but it occurs in extraterrestrial environments such as comets, where it has been detected as a component of icy surfaces and outgassed material.^[9] For instance, the Rosetta mission identified molecular oxygen in Comet 67P/Churyumov–Gerasimenko, indicating solid O₂ reservoirs formed at low temperatures.^[10] It is also anticipated in the interstellar medium as frozen O₂ ices within dense molecular clouds, though direct detections remain limited, with abundance constraints suggesting it accounts for less than 6% of the total oxygen budget.^[11] Laboratory production of solid oxygen typically involves separating oxygen from air via fractional distillation to obtain the liquid, followed by further cooling below 54 K using cryogenic methods like liquid helium baths, resulting in deposition as a solid film or crystal.^[12] This process highlights its significance as the only known insulating elemental antiferromagnet among molecular solids, exhibiting spontaneous antiferromagnetic ordering in its low-temperature phases due to exchange interactions between O₂ molecules.^[13] Unlike most solid elements, which form metallic or atomic lattices, low-pressure solid oxygen maintains intact O₂ molecules, with cohesion arising from van der Waals forces augmented by magnetic exchange interactions that contribute substantially to the lattice energy.^[8] This molecular character, combined with its magnetic properties, positions solid oxygen as a unique material bridging simple molecular crystals and magnetic insulators.^[14]

Historical discovery

The first liquefaction of oxygen was achieved independently in December 1877 by French physicist Louis-Paul Cailletet, who produced a mist of liquid oxygen through rapid expansion, and Swiss physicist Raoul Pictet, who used a cascaded refrigeration process involving methyl chloride, ethylene, and oxygen itself.^[15] These breakthroughs marked the onset of low-temperature physics and paved the way for studies of condensed phases. Solid oxygen was first produced shortly thereafter in the late 19th century by Polish physicists Zygmunt Wróblewski and Karol Olszewski, who achieved static liquefaction in 1883 and reported solidification upon further cooling, though initial melting point measurements varied due to experimental challenges.^[8] Early 20th-century refinements by James Dewar and Heike Kamerlingh Onnes confirmed the triple point at approximately 54.36 K and 0.00152 MPa, enabling systematic investigations of solid phases.^[8] Structural characterization of solid oxygen advanced in the 1920s with the identification of the low-temperature α phase through X-ray diffraction studies by W.H. Keesom at Leiden University, revealing its monoclinic lattice stabilized by antiferromagnetic interactions below 23.8 K.^[8] Pioneering low-temperature experiments by Fritz Simon and collaborators in the 1920s and 1930s, including specific heat measurements on oxygen down to 1.5 K, confirmed the β phase transition around 44 K and highlighted magnetic contributions to the phase stability.^[8] The β phase, rhombohedral in structure, was further verified in the 1930s via calorimetric and magnetic susceptibility data by Simon's group and others like William Giauque. By the 1950s, calorimetric studies established the full low-pressure phase sequence, identifying the γ (cubic, 43.8–54.4 K) phase through heat capacity anomalies and entropy changes.^[8] High-pressure investigations revealed exotic phases, with the red-colored ε phase discovered in 1979 by M. Nicol, K.R. Hirsch, and W.B. Holzapfel at approximately 8–10 GPa and room temperature, characterized by (O₂)₄ molecular clusters and a small volume collapse of ~1% observed via optical and X-ray probes.^[16] Theoretical predictions of metallic oxygen emerged in the 1960s, building on band structure models suggesting insulator-to-metal transitions under extreme compression. Experimental observation of metallic behavior followed in 1990 by Ho-kwang Mao and colleagues at ~96 GPa, confirmed through reflectivity and resistivity measurements in diamond-anvil cells, indicating delocalization of oxygen's π* electrons. Superconductivity in this metallic phase was reported in 1998 by Katsuya Shimizu et al. at pressures around 100 GPa and a critical temperature of 0.6 K, detected via AC susceptibility in a cubic anvil apparatus. Recent advancements include 2025 experiments by Akihiko Ikeda and collaborators, who applied pulsed magnetic fields exceeding 100 T (up to 110 T) to solid oxygen using the PINK-02 generator and XFEL X-ray diffraction at SACLA, revealing spin-driven magnetostriction that stretches the crystal lattice by ~1% and alters phase boundaries through competing antiferromagnetic interactions and lattice distortions. This work, published in Physical Review Letters, demonstrates how extreme fields couple electronic spins to structural stability, opening avenues for magneto-phase engineering in molecular solids.

Physical properties

Structural properties

Solid oxygen consists predominantly of molecular crystals in which O₂ dimers are oriented within ordered lattices, forming the basis for its various phases. These structures are characterized by space groups such as C2/m for the monoclinic α phase, R-3m for the rhombohedral β phase, Pm3n for the cubic γ phase, Fmmm for the orthorhombic δ phase, and C2/m for the ε phase featuring O₈ molecular clusters.^[17]^[18] Density in solid oxygen varies across phases and conditions, ranging from approximately 1.54 g/cm³ in the α phase at low temperatures to approximately 1.7 g/cm³ in high-pressure forms such as the ε phase.^[19]^[20] Volumetric changes with pressure and temperature can be approximated by the relation V(P,T) \approx V_0 (1 + \alpha \Delta T - \beta P), where \alpha is the linear thermal expansion coefficient (approximately $1.5 \times 10^{-5} K⁻¹) and \beta is the isothermal compressibility (approximately $1.6 \times 10^{-3} bar⁻¹).^[19] The molecular packing in solid oxygen is exemplified by the herringbone arrangement in the α phase, where O₂ molecules align in a staggered configuration stabilized by quadrupolar interactions between their permanent electric quadrupoles. No covalent bonding occurs in these molecular phases, with cohesion arising from van der Waals forces and electrostatic contributions.^[21] Representative lattice parameters for the α phase at 10 K are a = 5.40 Å, b = 3.99 Å, c = 5.02 Å, and \beta = 132.5^\circ, reflecting the monoclinic symmetry. Thermal expansion in this phase exhibits anisotropy, with greater expansion along the b-axis compared to the a- and c-axes.^[22]

Thermodynamic properties

Solid oxygen exhibits no true melting under ambient pressure conditions, instead undergoing sublimation directly to the gaseous phase. The triple point, where solid, liquid, and gas phases coexist in equilibrium, occurs at 54.36 K and 0.152 kPa. The enthalpy of sublimation is approximately 6.82 kJ/mol near 0 K, reflecting the energy required for this direct solid-to-gas transition.^[23] The heat capacity at constant pressure (C_p) for the α phase adheres to the Debye model at low temperatures, characterized by a T^3 dependence, and approaches the Dulong-Petit limit of approximately $3R(whereRis the [gas constant](/page/Gas_constant)) at higher temperatures within the [phase](/page/Phase). An anomaly inC_p appears at the Néel temperature of 12.5 K, arising from antiferromagnetic ordering of the O_2$ molecules.^[24]^[25] The linear thermal expansion coefficient for the α phase is \alpha_L \approx 1.5 \times 10^{-5} K^{-1}, indicating modest volume changes with temperature. The isothermal compressibility is \kappa_T \approx 0.16 GPa^{-1}, quantifying the material's response to pressure.^[26]^[27] Phase stability in solid oxygen is governed by the Clausius-Clapeyron equation,

\frac{dP}{dT} = \frac{\Delta H}{T \Delta V},

which relates the slope of phase boundaries to enthalpy and volume changes. At ambient pressure, the α-β transition occurs at 23.8 K, while under high pressure, the ε phase remains stable up to temperatures above 70 K. The magnetic contribution to the entropy is S_\text{mag} \approx R \ln(2S+1) = R \ln 3 for the spin-S=1 O_2 molecules, accounting for orientational and spin degrees of freedom.^[28]^[29]^[30]

Spectroscopic and magnetic properties

Solid oxygen exhibits distinctive optical properties across its phases, arising from electronic transitions influenced by intermolecular interactions. The α phase appears light blue due to strong absorption in the red region of the visible spectrum, primarily from the 629 nm band associated with O₂ dimer formation. The β phase appears pink, the γ phase is orange, the δ phase is light orange and the ε phase transitions to dark red, reflecting increasing charge-transfer character between O₂ molecules under pressure.^[8] These color variations stem from d-d transitions within O₂⁺-O₂⁻ charge-transfer complexes, with additional absorption bands at approximately 630 nm contributing to the blue coloration in low-pressure phases and a red-shifted band near 760 nm emerging under compression. Raman and infrared spectroscopy reveal key vibrational signatures of solid oxygen, distinguishing it from the gaseous state. The O-O stretching mode, observed at 1556 cm⁻¹ in gaseous O₂, shifts slightly to 1540-1560 cm⁻¹ range in the solid phases due to lattice interactions, with splitting in the α phase reflecting its monoclinic symmetry.^[31] Lattice modes, appearing below 200 cm⁻¹, provide insights into phase symmetries; for instance, low-frequency translations and librations in the α phase confirm its antiferromagnetic ordering, while higher-pressure phases like ε show broadened modes indicative of O₈ clustering. These spectroscopic features serve as diagnostic tools for phase identification, with IR absorption intensifying in the ε phase due to enhanced molecular coupling.^[18] The magnetic properties of solid oxygen are dominated by its triplet ground state (S=1), making it the only known elemental molecular antiferromagnet. In the α phase, antiferromagnetic ordering occurs below the Néel temperature T_N = 12.5 K, characterized by a collinear two-sublattice structure with an exchange constant J ≈ -1 meV arising from superexchange via filled π* orbitals.^[32] Above T_N, the magnetic susceptibility χ follows the Curie-Weiss law, with an effective moment μ_eff = 2.83 μ_B per O₂ molecule, consistent with spin-only behavior for S=1 and g ≈ 2.^[30] Higher-pressure phases like δ and ε exhibit paramagnetic behavior with suppressed magnetism due to orbital overlap, though frustration persists in the triangular lattice of β-O₂.^[14] Electron spin resonance (ESR) studies of solid oxygen highlight its anisotropic spin characteristics. ESR signals display g-factors with g∥ ≈ 2.002 and g⊥ ≈ 2.083, reflecting the axial symmetry of the ³Σ_g⁻ ground state and spin-orbit coupling within the O₂ molecule.^[33] Recent 2025 investigations under ultrahigh magnetic fields exceeding 100 T have revealed strong spin-lattice coupling, inducing giant magnetostriction (up to 1% lattice deformation) in the β phase through competing exchange interactions and structural frustration. These effects underscore oxygen's unique magnetoelastic response, altering lattice parameters anisotropically at fields around 110 T. In the metallic phase achieved at pressures above 96 GPa, solid oxygen undergoes an insulator-to-metal transition, where the diatomic structure persists but conductivity arises.^[34]

Molecular phases

α phase

The α phase of solid oxygen is the thermodynamically stable form at ambient pressure and temperatures below 23.8 K, representing the lowest-energy configuration in this regime.^[35] It exhibits a monoclinic crystal structure with space group C2/m and four O₂ molecules per unit cell (Z=4), characterized by a herringbone arrangement where parallel dimers form layered sheets.^[36]^[37] The nearest-neighbor O₂-O₂ intermolecular distance is 3.18 Å, and the X-ray density at 0 K is 1.426 g/cm³.^[35] This phase undergoes a first-order transition to the β phase at 23.8 K, accompanied by an enthalpy change of approximately 80 J/mol and a narrow hysteresis of less than 0.1 K.^[35]^[38] The α phase is uniquely distinguished among solid oxygen phases by its full long-range antiferromagnetic order, arising from superexchange interactions between the triplet ground-state O₂ molecules aligned in an antiparallel fashion.^[14]^[39] The α phase was first identified in 1924 through early low-temperature studies by Ruhemann, who observed distinct solid forms of oxygen.^[35] Its crystal structure was refined via X-ray diffraction in subsequent decades, while the antiferromagnetic ordering was confirmed in the 1970s using neutron diffraction experiments, which revealed magnetic reflections consistent with a Néel-type arrangement.^[39]^[40]

β phase

The β phase of solid oxygen is a transient rhombohedral phase stable between 23.8 K and 43.8 K at ambient pressure, serving as the paramagnetic regime above the Néel temperature of the underlying α phase. This narrow stability window renders it the least studied among the low-temperature molecular phases of oxygen, with its existence first confirmed in the 1930s through observations of heat capacity anomalies indicating phase transitions at approximately 24 K and 44 K.^[41]^[42] The structure adopts the R-3m space group (No. 166) with Z = 2 formula units per primitive cell, consisting of nearly cubic close-packed layers of O₂ molecules that are rotated relative to the principal lattice directions, resulting in a slight distortion from ideal hexagonal symmetry. In the primitive rhombohedral setting, representative lattice parameters at 30 K are a ≈ 3.91 Å and α ≈ 105.5°, corresponding to a density of approximately 1.40 g/cm³; equivalent hexagonal cell parameters near 26 K are a ≈ 3.27 Å and c ≈ 11.28 Å. The phase exhibits a pink coloration.^[43]^[44]^[14] Upon cooling, the transition to the α phase is reversible and involves a small relative volume change of ΔV/V ≈ 0.5%, reflecting the subtle symmetry breaking associated with the onset of antiferromagnetic ordering. In contrast, heating to 43.8 K induces a transition to the γ phase with a larger volume expansion of ΔV/V ≈ 5.4% (ΔV ≈ 1.18 cm³/mol), driven by increased molecular orientational disorder. Thermal expansion in the β phase follows trends consistent with its intermediate position between the ordered α and disordered γ phases, though detailed measurements remain limited due to the phase's instability.^[19]

γ phase

The γ phase of solid oxygen is the highest-temperature solid phase at ambient pressure, stable in the temperature range of 43.8–54.4 K.^[28] This phase exists just below the oxygen triple point and is short-lived under standard conditions, transitioning to liquid oxygen upon slight warming or pressure adjustment near 54.36 K.^[28] It represents a plastic crystal state where O₂ molecules exhibit significant orientational disorder, distinguishing it from the more ordered lower-temperature phases. The structure of the γ phase is cubic with space group Pm₃n (No. 223), adopting an A15-type lattice in which the O₂ molecules occupy positions that allow for nearly free rotation.^[45] This configuration contains Z = 8 O₂ molecules per unit cell.^[45] The lattice parameter is a = 6.83 Å at 50 K, yielding a density of 1.32 g/cm³.^[45] The cubic symmetry and rotational freedom result in higher entropy compared to the β and α phases, with the phase resembling liquid oxygen in its structural and elastic properties more closely than the denser, ordered solids below it.^[46] The transition from the rhombohedral β phase to the γ phase occurs at 43.8 K and is first-order, accompanied by a significant entropy increase of ΔS ≈ 25.8 J/mol·K due to the onset of molecular rotation and disorder.^[28] This transition exhibits hysteresis, reflecting kinetic barriers in the reorientation process.^[47] The γ phase was identified in the 1930s through X-ray diffraction studies, confirming its cubic nature.^[45] Magnetically, it displays enhanced susceptibility relative to the β phase, arising from the paramagnetic response of the rotationally disordered O₂ molecules.^[14]

δ phase

The δ phase of solid oxygen is an orthorhombic polymorph stable under moderate pressures of approximately 0.1–10 GPa and low temperatures, or transiently in the range of 54–66 K at low pressures; it is not thermodynamically stable at 1 atm above the oxygen triple point temperature of 54.36 K.^[48] This phase represents a higher-density form compared to the low-pressure γ phase, reflecting closer molecular packing that enhances stability under compression. Its proximity to the triple point underscores its role in the low-temperature, low-to-moderate pressure region of the phase diagram, where it can form briefly during cooling or compression paths before reverting to the α or γ phases at ambient conditions.^[49]^[50] The crystal structure is orthorhombic with space group Pmmm and Z=2 formula units per unit cell, consisting of planar zigzag chains of intact O₂ molecules oriented along the chains. The lattice parameters at ~1 GPa are a = 4.00 Å, b = 3.85 Å, and c = 6.50 Å, yielding a density of ~1.45 g/cm³ and imparting a characteristic orange hue to the phase.^[22]^[14] This chain-like arrangement introduces orthorhombic symmetry and increased density relative to the cubic γ phase, with the molecules maintaining their diatomic nature but packing in a more ordered, layered fashion that facilitates magnetic interactions. The phase was first characterized in the 1950s through high-pressure X-ray diffraction experiments, marking an early milestone in understanding pressure-induced structural changes in molecular solids. Transitionally, the δ phase emerges from the γ phase upon application of pressure, reflecting a structural reorganization toward denser packing, and converts to the orientationally disordered ε phase at higher temperatures or pressures.^[48] This formation involves a modest volume contraction of ~1%, highlighting the subtle yet significant densification that distinguishes it as a precursor to the plastic ε phase in compression sequences.

ε phase

The ε phase of solid oxygen represents a high-temperature plastic crystal form distinguished by significant orientational disorder among the O₂ molecules, serving as a key precursor to higher-pressure phases under compression. This phase is stable in a metastable state above approximately 70 K at ambient pressure or within the pressure range of 10–96 GPa at room temperature, where it displays a red color due to electronic transitions influenced by the molecular arrangement.^[51]^[18] The first observation of this phase occurred in 1979 during high-pressure experiments, highlighting its role in early studies of compressed molecular solids. At 20 GPa, the phase exhibits a density of approximately 1.65 g/cm³, reflecting the increased packing efficiency under compression while maintaining molecular integrity.^[52]^[53] Structurally, the ε phase adopts a cubic lattice with space group Pa-3 and Z=8 O₂ molecules per unit cell, characterized as a plastic crystal where the molecules possess substantial librational freedom around their lattice sites. This rotational mobility arises from weak intermolecular interactions, enabling the O₂ units to reorient dynamically without translational diffusion, a hallmark of plastic phases in molecular crystals. The structure features an O8 molecular lattice with (O₂)₄ clusters.^[18] The orientational disorder in this regime is quantified by the order parameter η, defined as

\eta \approx \frac{3\cos^2\theta - 1}{2},

where θ is the angle between the molecular axis and a reference lattice direction; η decreases toward 0 in the fully plastic state, indicating isotropic averaging of orientations.^[54] This disorder contributes to the phase's unique thermodynamic behavior, including enhanced entropy compared to lower-temperature ordered phases. The ε phase emerges via a transition from the δ phase at around 10 GPa, accompanied by a volume contraction of ΔV/V ≈ -5%, which underscores the structural reorganization toward denser packing. Under further compression above 8 GPa and moderate temperatures, it evolves into more exotic forms, retaining discrete O₂ units but with increasing intermolecular coupling. Raman spectroscopy reveals a broadened O-O stretching mode at approximately 1100–1200 cm⁻¹, attributable to the inhomogeneous local environments caused by the orientational disorder within the lattice.^[18] Additionally, the phase displays paramagnetic properties due to unpaired spins on the disordered molecules.^[55]

Exotic phases

Red oxygen

Red oxygen, also known as the ε phase, is a high-pressure allotrope of solid oxygen distinguished by its deep red coloration and clustered molecular arrangement. First observed in 1979 through high-pressure optical spectroscopy experiments, this phase emerges upon compression of lower-pressure forms like the δ phase at around 8 GPa and room temperature (approximately 300 K), remaining stable up to 96 GPa and temperatures extending to about 700 K under certain conditions. Unlike the diatomic molecular structure of ambient-pressure solid oxygen, red oxygen features O₈ clusters, where four O₂ molecules associate into rhombohedral units, marking an exotic transition toward greater molecular complexity without full covalent polymerization. The crystal structure of red oxygen is rhombohedral with space group R\overline{3} (No. 148), comprising a lattice of O₈ molecules formed by two perpendicular four-membered (O₄) rings fused together. Within each O₈ cluster, the intramolecular O-O bond length is approximately 1.21 Å, comparable to that in free O₂ molecules (1.207 Å), while the intermolecular O-O distances are longer at about 2.34 Å, indicative of weak van der Waals interactions rather than covalent bridging. This clustered arrangement contrasts with simple molecular phases, contributing to a higher density of roughly 1.6 g/cm³ at 10 GPa, and endows the material with semiconducting properties. Infrared spectroscopy reveals characteristic vibrational modes associated with the O₈ units, including new bands around 800–1000 cm⁻¹ attributed to ring deformations and intermolecular stretches, alongside splitting of the O₂ stretching mode near 1130 cm⁻¹. The formation of red oxygen occurs via pressure-induced association of O₂ molecules into O₈ clusters, a process driven by the compression of intermolecular distances that overcomes an energy barrier estimated at around 1 eV per molecule. This mechanism involves no dissociation of O₂ bonds but rather a reconfiguration into stable ring structures, facilitated by the high density where molecular repulsion favors clustering. The phase's striking red hue arises from charge-transfer electronic transitions across a band gap of approximately 1.8 eV, absorbing green and yellow light while transmitting red wavelengths, with the intensity darkening under further compression. Recent machine learning-accelerated simulations in 2025 have confirmed that red oxygen does not undergo further polymerization into extended covalent networks even at extreme pressures up to 10 TPa, underscoring its stability as a molecular cluster phase rather than a precursor to fully polymeric forms.^[56] Upon decompression, red oxygen exhibits hysteresis, persisting metastably to pressures as low as 0.15 GPa at cryogenic temperatures before reverting to lower molecular phases like the β or α forms; at room temperature, the reverse transition occurs around 5–8 GPa, highlighting kinetic barriers in the depolymerization process. This metastability has implications for potential applications as a high-energy-density material, though its insulating nature and reversible molecular character distinguish it from conductive metallic phases at higher pressures.

Metallic oxygen

Metallic oxygen represents the high-pressure phase of solid oxygen where it transitions to a metallic state, characterized by electron delocalization and electrical conductivity. This phase, known as the ζ phase, emerges above approximately 96 GPa at room temperature and is stable up to at least 225 GPa, with theoretical predictions indicating persistence of molecular character to around 1.9 TPa before further polymerization. The metallization occurs through a pressure-induced closure of the band gap, where broadening of the valence and conduction bands leads to overlap, placing the Fermi level within the d-derived bands. In gaseous O₂, the HOMO-LUMO gap is approximately 12 eV, but in the solid, the effective band gap decreases nearly linearly with pressure as

E_g(P) \approx E_g_0 - \kappa P

, with \kappa \approx 0.1 eV/GPa, reaching zero around 96 GPa.^[50] This mechanism was first evidenced in 1990 through optical reflectance measurements showing a sharp increase in reflectivity and a drop in resistivity to the metallic regime up to 132 GPa. Structurally, the ζ phase adopts a monoclinic C2/m symmetry with eight molecules per unit cell, likely evolving from a body-centered tetragonal or hexagonal close-packed arrangement via a continuous displacive transformation from the preceding ε phase; this results in a zero bandgap due to band overlap. At 100 GPa, the theoretical density is approximately 4 g/cm³, reflecting significant compression of the molecular lattice. A notable property of metallic oxygen is its superconductivity, observed at a critical temperature T_c = 0.6 K near 100 GPa and low temperatures. This phase follows the insulating molecular ε (red oxygen) as a precursor under compression.

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mp-611836: O2 (Monoclinic, C2/m, 12) - Materials Project
O₂ is alpha oxygen structured and crystallizes in the monoclinic C2/m space group. The structure is zero-dimensional and consists of two O₂ clusters.
[38]
Magnetoelastic nature of the solid oxygen -phase structure
Sep 28, 2007 · Solid oxygen has a rather complicated phase diagram, which includes three low-temperature phases stable at ambient pressure γ ( T < 43.8 K ) , β ...
[39]
Magnetism and the α β phase transition in solid oxygen
The calculated entropy difference at 23.9 K (the α β phase transition temperature) agrees surprisingly well with the experimentally measured heat of ...
[40]
Magnetic structure of solid oxygen - NASA/ADS
Comparison with x-ray and electron-diffraction patterns shows that α-oxygen is antiferromagnetic whilst β-oxygen is not. For the β phase there is strong ...Missing: 1970s | Show results with:1970s
[41]
Magnetic structure and dynamics in the alpha and β phases of solid ...
Jan 1, 1986 · We describe a comprehensive neutron scattering study of α- and β- O 2 . In α- O 2 , an inelastic feature at 10 meV is identified with the b ...
[42]
THE HEAT CAPACITY OF OXYGEN FROM 12 °K. TO ITS BOILING ...
On the double heat capacity peak of oxygen solid-to-solid transition near 23.8 K.
[43]
[PDF] Magnetoelastic nature of solid oxygen epsilon-phase structure
Solid oxygen has a rather complicated phase diagram, which includes three low temperature phases stable at ambient pressure: γ (T < 43.8 K), β (23.8 ≤ T ≤ ...
[44]
[PDF] Calculation of the Zero Wave Vector Lattice Frequencies of Alpha
Aug 1, 1971 · We have performed a series of calculations of the frequencies of these optically active lattice modes by considering the intermolecular forces ...
[45]
mp-610917: O2 (Trigonal, R-3m, 166) - Materials Project
O₂ is beta oxygen structured and crystallizes in the trigonal R̅3m space group. The structure is zero-dimensional and consists of three O₂ clusters.
[46]
https://www.mdpi.com/2673-9801/2/2/13
[47]
Solid and Liquid Oxygen under Ultrahigh Magnetic Fields - MDPI
May 25, 2022 · We have investigated the physical properties of condensed oxygen under ultrahigh magnetic fields and have found that the stable crystal structure of solid ...
[48]
(PDF) The β-γ Transition of oxygen as a secondary fixed point of the ...
Aug 7, 2025 · In the paper, the thermal properties at the beta–gamma transition are presented. The transition is of first order, associated with large ...
[49]
Low-temperature phases of solid oxygen at pressures up to ...
Dec 12, 2005 · FIG. 1. The phase diagram of oxygen up to 12 GPa and below room temperature determined by Raman spectroscopy. Thick solid lines show the ...
[50]
https://www.pnas.org/doi/10.1073/pnas.1905771116
[51]
Evidence for a Magnetic Collapse in the Epsilon Phase of Solid ...
May 23, 2005 · At low temperature and low pressure ( P < 6 GPa ) oxygen crystallizes in a monoclinic antiferromagnetic α phase [1–3] . The ground state of ...
[52]
First-principles calculations of the epsilon phase of solid oxygen
Jun 19, 2019 · The crystal, electronic and magnetic structures of solid oxygen in the epsilon phase have been investigated using the strongly constrained appropriately normed ...<|control11|><|separator|>
[53]
Stability and metallization of solid oxygen at high pressure
We present analysis of electronic, structural, and thermodynamic properties of solid oxygen at 0 K and finite temperature with hybrid exchange functionals, ...Missing: alpha 0-23.8
[54]
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[55]
Machine Learning simulations reveal oxygen's phase diagram and ...
Jul 1, 2025 · Current studies show that oxygen does not aggregate into a polymeric phase even under pressures up to 10 TPa.
[56]
Electronic structure of dense solid oxygen from insulator to metal ...
Oct 9, 2019 · A high-pressure phase called epsilon oxygen is considered stable in a wide pressure range. This material exhibits the transition to metal at ∼ ...