Thank you for visiting nature.com. You are using a browser version with limited support for CSS. To obtain the best experience, we recommend you use a more up to date browser (or turn off compatibility mode in Internet Explorer). In the meantime, to ensure continued support, we are displaying the site without styles and JavaScript.

# Band gap closure, incommensurability and molecular dissociation of dense chlorine

### Subjects

An Author Correction to this article was published on 03 May 2019

## Abstract

Diatomic elemental solids are highly compressible due to the weak interactions between molecules. However, as the density increases the intra- and intermolecular distances become comparable, leading to a range of phenomena, such as structural transformation, molecular dissociation, amorphization, and metallisation. Here we report, following the crystallization of chlorine at 1.15(30) GPa into an ordered orthorhombic structure (oC8), the existence of a mixed-molecular structure (mC8, 130(10)–241(10) GPa) and the concomitant observation of a continuous band gap closure, indicative of a transformation into a metallic molecular form around 200(10) GPa. The onset of dissociation of chlorine is identified by the observation of the incommensurate structure (i-oF4) above 200(10) GPa, before finally adopting a monatomic form (oI2) above 256(10) GPa.

## Introduction

Under sufficient compression, all molecular systems are expected to collapse into close-packed metals. This process was most notably predicted to occur for hydrogen, leading to a condensed metallic phase exhibiting exotic properties such as the simultaneous dissipationless transfer of matter and electricity1,2,3. On compression, hydrogen is predicted to go through a sequence from molecular insulator, to molecular metal and finally to an atomic metallic state. The experimental realisation of atomic metallic hydrogen has remained elusive despite intense research efforts lasting over 30 years4,5,6,7,8,9,10,11,12,13,14,15. However, this high-pressure phase transition sequence has been realised in the heavy halogens, iodine (I2) and bromine (Br2), providing an insight into the nature of homonuclear diatomic molecular systems at extreme conditions16,17,18,19. Intriguingly, the halogens have been found to exhibit remarkable phase progression en route to dissociation, with molecular metallisation, incommensurate structures, and superconductivity observed.

The behaviour of the lighter halogens, fluorine (F2) and chlorine (Cl2), forms a link between the phenomena observed for bromine and iodine and that of hydrogen. Although several experimental works on the lighter halogens exist up to moderate pressures (~50 GPa)20,21, they fall significantly short of the pressures required to observe either metallisation or the onset of dissociation. Previous empirical extrapolations, based on the heavier halogens, suggest that pressures approaching several million atmospheres (~250 GPa) would be required to dissociate chlorine22. The technological challenges associated with small sample sizes at these conditions (<10 μm3) combined with the complications of working with extremely hazardous chemicals, has ultimately left the nature of dissociation in the lighter halogens a subject of theoretical speculation23,24.

Chlorine is widely used in the industrial production of plastics and is naturally abundant in chloride salts with the Cl anion contributing ~2% of the oceans’ mass. The most familiar of these chloride salts, rocksalt (NaCl), exhibits highly unusual properties under moderate pressures25. In the presence of excess Na or Cl, new stable compounds with modified stoichiometries are reported, which seemingly violate any traditional chemical understanding. These works have further gone on to stimulate research into halogen chemistry at high pressures to investigate unusual chemical compositions of halide materials26,27. Critically, the identification of these materials has relied on the corroboration between theoretical calculation and experimental observation, with the former heavily reliant on accurate data of the pure systems which is lacking for chlorine and fluorine.

In this work, we subject chlorine to ultra-high pressures, in excess of several million atmospheres (>300 GPa), using a suite of complimentary techniques for characterisation: transmission measurements (Fig. 1a), Raman spectroscopy (Figs. 1b and 2) and X-ray diffraction (Fig. 3). We identify a continuous band gap closure, indicative of the onset of molecular metalicity in the halogens, and observe the continuous dissociation of Cl2 molecules through an incommensurate phase before adopting a purely atomic form at 258(10) GPa. This study presents insights into the dissociation of elemental molecular systems at extreme conditions.

## Results and discussion

### Crystallisation and the oC8 phase of chlorine

After loading, chlorine was found to crystallise at 1.15(30) GPa, shown in Figs. 1b and 3, in agreement with recent work28. The transition was confirmed by X-ray diffraction with peaks that were indexed to an orthorhombic space group Cmce [a = 5.8655(7), b = 4.1937(2) and c = 7.9455(4) Å] with four chlorine molecules per unit cell. Referred to in this study by its Pearson notation, oC8, this low-pressure phase is found to be isostructural to phase I of both iodine and bromine22. The transition is marked by the appearance of sharp lattice modes in the Raman signature, opposed to the broad distribution of rotational modes characteristic of unhindered chlorine molecules in the fluid state (see Supplementary Figure 1). As the lowest frequency modes, B1g and B2g, and isotopic differences in the Ag(s) mode become unresolvable at pressures greater than 20 GPa, seen in Fig. 1b, only four modes are discernible in the Raman spectra for this structure at high pressures: two stretching modes (Ag(S) and B3g(S)) accompanied by two librational modes (Ag(L) and B3g(L))20,24. The pressure dependency of these modes have been tracked up to the dissociation of chlorine, 258(10) GPa, where the Raman spectra exhibit no molecular excitations. The oC8 phase displays remarkable pressure stability and to our knowledge extends over the largest pressure range (223(10) GPa) for any molecular system, for comparison phase I of hydrogen exists for a pressure interval of only 180 GPa29. Over this extensive pressure domain the atomic volume of chlorine is found to reduce by more than 75% (−19.8 Å3), see Fig. 3b. The large volume collapse is a manifestation of the significant reduction in the intermolecular distances as opposed to any profound intramolecular changes, reflected by the relatively weak pressure dependence of the internal stretching modes (Ag(S) and (B2g(S)) in comparison with the external modes (Ag(L) and B3g(L), seen in Fig. 2b.

### The mC8 phase of chlorine

At higher pressures, oC8 was found to coexist with the emergence of a previously unreported phase, mC8, and was identified by subtle changes in X-ray diffraction patterns. As found for I230, a C-centered monoclinic structure (space group C2/m) [a = 2.847(1), b = 4.190(2), c = 7.118(2) Å and β = 113.83(3)° at 205 GPa], improved residuals and explained the misfits of several reflections. Interestingly, the structure comprises two different types of intramolecular covalent bonds, a characteristic seen in other diatomic systems and is believed to be the mechanism behind the rich vibrational spectra reported in dense hydrogen above 200 GPa29. The onset of the mC8 phase is more readily identifiable through Raman spectroscopic measurements, seen above 130 GPa as the development of peak asymmetry and the emergence of new peaks associated with the B1g(L)-2, Ag(L)-2, B3g(L)-2 and Ag(S)-2 excitations, identified in Fig. 2. The B3g(S)-2 mode however, could not be resolved due to insignificant differences with the B3g(L) mode inherent to the oC8 phase, analogous to theoretical simulations of iodine and bromine30,31. As with oC8, mC8 is remarkably stable, with both found to be in coexistence up to the appearance of the atomic phase at 258 GPa, again similar behaviour is observed in the analogous phases of iodine and bromine30,31. As expected the Cmce (oC8) and the C2/m (mC8) structures are found to be energetically competitive, reporting free energies and enthalpy differences of <3 and <5 meV/atom, respectively in the case of bromine31.

### Evidence for molecular metallisation

One of the most fascinating phenomena in solid-state science is the pressure-induced transition from an insulating to conductive state, particularly the transitions concerning covalently bonded systems. Here, the first observation of the onset of this phenomena in chlorine is seen by the significant changes of the relative of intensities amongst the internal/stretching Ag(S) mode with the other inherent vibrations. As seen in Figs. 1c and 2a, the Ag(S) mode is found to proceed through a maximum in intensity, first evolving to be ~20 times larger than the lattice modes, before becoming comparable with the other excitations at 88 GPa, seen in Fig. 1b. As the intensity of Raman excitations are strongly correlated to the charge densities involved in each of the respective modes32, these relative changes are therefore indicative of the first signs of an electronic redistribution inherent to a continuous metallisation. As a more direct probe, transmission measurements report the continuous closure of the band gap in chlorine, with the sample visually appearing dark at 50 GPa, with a measured band gap of ~0.5 eV at 150 GPa and extrapolated band gap closure at 200(10) GPa (see Fig. 1a). Therefore, the closure of the band gap in chlorine is found to occur at a pressure approximately an order of magnitude higher than that of iodine (~20 GPa)17 a direct consequence of the increased bond strength and therefore the electron localisation in the respective molecules. In accordance with the other members of the halogen group (summarised in Supplementary Figure 4), the band gap closure is not associated with any structural transition or dissociation, and is found to be purely a modification of its electronic structure.

### The incommensurate i-oF4 phase of chlorine

Evidence of incommensurate structures in elemental systems are scarce with the halogens providing the only diatomic molecular examples. In this study, the first evidence of the appearance of an incommensurate phase in chlorine, i-oF4 (‘i’ indicates that the structure is incommensurate), is identified spectroscopically around 200 GPa, with the appearance of a excitation, seen in Fig. 2. Here, the new mode is denoted as AMP, for the amplitude mode—an excitation inherent to incommensurate structures and is always Raman active33, seen clearly in Fig. 2 and Supplementary Figure 2. The direct structural identification of i-oF4 was found at higher pressures, 223 GPa, and can be seen in Fig. 3. The strongest peaks could be indexed to a face-centered orthorhombic cell [a = 3.034(1), b = 2.9893(7), c = 3.947(3) Å], indicating an abrupt drop of 4.4 % (0.4 Å3) in average atomic volume. These main reflections were accompanied by additional weak satellite peaks, (1,1,11̄,) and the (1,1,1̄,1) in Fig. 3, due to the structural modulation. Through an analogy with iodine16, the incommensurate nature of i-oF4 is accounted for by small shifts in atomic position creating a transverse wave along the a-axis with a modulation vector k = (0.230(5),0,0) at 241(10) GPa. The refined modulation vector was found to be in broad agreement with iodine phase V16, with both structures denoted as Fmm2(α00)0s0 in terms of the superspace-group notation. The apparent disagreement between X-ray and Raman diagnostics of the onset of this phase, a discrepancy of ~30 GPa, can be addressed by coexistence as is expected for a first-order phase transition. As can be seen in Fig. 2a, b and Supplementary Figure 2, there is large coexistence of i-oF4 with the precursory phases oC8/ mC8 and the successive purely atomic phase, oI2 (discussed later). For a first approximation an intensity analysis of Raman excitations has been conducted to find the relative abundance of each phase, summarised by Supplementary Figure 2b, revealing an exponential extinction of the modes related to phases oC8/ mC8, concomitantly with a significant growth of the AMP mode. Conversely, at higher pressure, the AMP mode has a marked decline in intensity after the identification of the i-oF4 phase by X-ray diffraction. Therefore, i-oF4 is only found to be the dominant phase for 223 to 258 GPa, which is only ~25% of its overall pressure stability, seen in Figs. 2, 3 and Supplementary Figure 3.

An abundance of elemental incommensurate structures have been reported at moderate pressures in groups 15–17, close to the divide in the periodic table between metallic and non-metallic systems, including the heavier halogen iodine34,35,36,37,38. To our knowledge, the chlorine i-oF4 phase, is the highest pressure observation of an incommensurate structure, the previously being Na-i-tI19 existing up to 180 GPa39,40. Despite having such contrasting physical properties at ambient conditions—Na being a nearly-free electron metal and Cl2 a molecular insulator, both materials show the critical role that incommensurate phases play during transitions associated with profound alterations in electronic structures at very high densities. In Na, the i-tI19 phase exists on the cusp of the metal-to-insulator transition40 and here the i-oF4 phase at the insulator-to-metal transition discussed previously.

### Dissociation and the oI2 phase of chlorine

At 241 GPa, all excitations present in the Raman spectra inherent to a molecular characteristic of chlorine are lost, see Fig. 2a,b and Supplementary Figure 2b, indicative that the former molecular phases oC8 and mC8 no longer coexist and only the modulated i-oF4 remains. Further, by 266(10) GPa just four strong reflections are apparent in the X-ray diffraction pattern, these peaks can be indexed to a body-centred orthorhombic cell, space group Immm [a = 3.7720(11), b = 2.0287(3), c = 2.2003(4) Å] accompanied by another small drop in atomic volume, ~4.5 % (0.8 Å3). In this structure, chlorine atoms lie on each lattice point with no clear molecular bonding, signalling the entrance to its first purely atomic phase, oI2. Rietveld refinement of this structure showed good agreement with the data, the final agreement factor at 266(10) GPa is wRobs = 13.99% (Supplementary Figure 3). The transition from a molecular to atomic form is apparent from the nearest-neighbour interatomic distances which converge from 1.989(18), 2.223(16), and 2.525(15) Å at 138(10) GPa to 2.0337(6), 2.2038(7), and 2.4097(6) Å (at 266(10) GPa), becoming comparable to the intramolecular bond length of 1.994(2) Å at ambient pressure41.

The structural transition, identified by X-ray diffraction, is found to happen simultaneously with a significant drop in intensity of the only remaining excitation in the Raman spectra, the AMP-mode, at 258 GPa. Indicative that despite remnants of the i-oF4 phase, the bulk of the chlorine atoms adopt the oI2 phase. Additionally, there is strong evidence that this phase may become superconducting at low-temperatures, as both isostructural iodine and bromine have been reported to be superconducting at ~1.5 K19. Theoretical calculations suggest a significantly enhanced critical temperature in chlorine for this structure, ~4 K24, however reporting the emergence of oI2 at a much lower pressure24. As chlorine readily reacts with common electrode materials, definitive determination of the critical temperature and its underlying mechanisms would require non-contact measurements such as monitoring its nuclear magnetic response42,43.

It is interesting, that despite large regions of coexistence, exemplified by only a third of chlorine’s isotherm exhibiting solitary phase behaviour, we find there is no coexistence between the purely molecular phases, (oC8 and mC8), with the atomic phase, oI2. As observed previously in iodine, the appearance of the modulated structure, i-oF4, here again is found to serve as nature’s intermediary between molecular and atomic systems. The structural modulation gives rise to a continuous distribution of interatomic distances, seen in the inset to Fig. 3b, resulting in a state where there is no clear distinction between molecular and atomic units. This is in marked contrast to some proposed models presented for hydrogen which consist of mixed atomic-molecular phases29. Critically, significant differences between theoretical expectation and experimental observation are found, with dissociation previously proposed in chlorine at 157 GPa24, only ~60% of what is experimentally observed here. Therefore, this study further highlights the importance of experimental work to refine our chemical understanding of materials and it will consequently impact predictions for lighter halogen chemistry and dissociation, and perhaps that of other elemental diatomic molecules, most notably hydrogen.

## Methods

### Pressure generation and sample preparation

Diamond Anvil Cell (DAC) devices were used to generate the pressures, with diamond geometries varying from 250–30 μm culets to reach pressures of ~50 GPa to in excess of 300 GPa, respectively. The sample chambers were formed by a laser-milled cavity in a Re-foil, which is then sealed by the opposing anvils. The initial cavity dimensions are dependent on the diamond geometry, typically the Re-foil was indented to an initial thickness a tenth and the cavity laser-trepanned approximately a third of the culet diameter. Typically we find when these parameters were exceeded, sample confinement at higher pressures became unfavourable.

Prior to loading, chlorine was generated as a gas via an oxidation reaction between concentrated hydrochloric acid and manganese dioxide (Eq. 1). The effervesced gas was then cleansed of impurities such as hydrogen chloride and water, by channelling it first through a water bath and a drying agent powder, calcium chloride (CaCl2), respectively. The refined high-purity Cl2 gas was then passed over liquid nitrogen cooled diamond anvils, where it condensed in its solid form. Finally, the diamonds are brought together to confine the sample and recovered to ambient temperatures. The entirety of the procedure was conducted in a protective dry-nitrogen atmosphere. To ensure sample purity a highly sensitive long-exposure Raman probe was used to detect contamination and/or reactions with the gasket material.

$$4{\mathrm{HCl}}(\mathrm{l}) + {\mathrm{MnO}}_2(\mathrm{s}) \to {\mathrm{MnCl}}_2(\mathrm{s}) + 2{\mathrm{H}}_2{\mathrm{O}}(\mathrm{l}) + {\mathrm{Cl}}_2(\mathrm{g})$$
(1)

Noble metal pressure markers were not used in the experiments, due to the exceptional reactivity of Cl2 readily forming binary compounds. Ruby however, was found to be stable and no reaction was observed, therefore up to pressures of 50 GPa, pressure was determined by the calibrated shift of its R1 fluorescence line44. In the multi-megabar regime, where there is limited space for a pressure marker and the fluorescence response of the R1 ruby line become undetectable, the stressed diamond T2g phonon45 is used, as is common practice for these pressures29. An example of the highest pressure stressed diamond T2g profile is provided by Supplementary Figure 5.

As mentioned, Cl2 has a remarkable reactivity and therefore reactivity with the sample environment has to be considered. It has already been pointed out that there is potential for photochemistry with the gasket material. However, if not exposed to intense broadband laser light, Cl2 appears to show limited reactivity with its sample environment, i.e. the gasket and diamond anvils. In an effort to understand the sample-gasket chemistry, low-pressure high-temperature experiments were conducted to promote a reaction, see Supplementary Figure 1. A new vibrational mode corresponding to a Re-Cl stretch was found, indicating that a binary compound had been formed. These excitations however, had no correspondence with the excitations observed in Cl2 along it’s room temperature isotherm, ruling out the possibility of contamination. Further, depending on the state of the anvils after the conclusion of the experiments the culet surfaces were inspected under microscope and no etching, indicative of a chlorine-diamond reaction, was observed.

### Raman spectroscopy

Raman measurements were taken with a custom-built highly focussed Raman system, using both 532 and 660 nm laser sources. At pressures above 200 GPa solely a laser of 660 nm was used to by-pass the pressure-induced fluorescence emitted by the diamond anvils. Measurements were imaged on a CCD, with typical sample exposures of 10 s at 25 mW of incident laser power. The intensity vs wavenumber dataset was then background subtracted and accurate peak parameters were determined using the Fityk46 software package.

### X-ray diffraction

Powder X-ray diffraction (XRD) data were collected at the BL10XU (Spring-8, Japan)47 and GSECARS 13-IDD (Advanced Photon Source, USA)48 beamlines with the energies in the range of 30–42 keV. The imaged diffraction was integrated using the DIOPTAS software49 to yield two-dimensional intensity vs 2θ datasets. Patterns were indexed with GSAS-II50. The Le Bail and Rietveld refinements were carried out in Jana200651. Finally, equation of state parameters were determined using the EoSFit752 software package.

### Transmission measurements

Transmission measurements were taken by a broadband white-light LED lamp focussed through the back anvil and collected, collimated by a Mitutoyo objective being imaged by a CCD. Supercontiuum measurements were attempted, however after laser incidence instantaneous reaction with the gasket occurred forming a Re-Cl compound. The reaction resulting in visually changed sample as well as modified Raman signature.

## Data availability

The authors declare that the main data supporting the findings of this study are contained within the paper and its associated Supplementary Information. All other relevant data are available from the corresponding author upon reasonable request.

## Change history

• ### 03 May 2019

The original version of this Article omitted references to previous experimental reports on solid hydrogen that are relevant for a full understanding of the context of the previous work. The added references are: 47. Akahama, Y. et al. Evidence from x-ray diffraction of orientational ordering in phase III of solid hydrogen at pressures up to 183 GPa. Phys. Rev. B 82, 060101 (2010). 48. Zha, C.-S., Liu, Z. & Hemley, R. J. Synchrotron infrared measurements of dense hydrogen to 360 GPa. Phys. Rev. Lett. 108, 146402 (2012). 49. Dias, R. & Silvera, I. Observation of the Wigner-Huntington transition to metallic hydrogen. Science 355, 715–718 (2017). 50. Eremets, M. I. & Drozdov, A. P. Comments on the claimed observation of the Wigner-Huntington transition to metallic hydrogen. Preprint at http://arxiv.org/abs/1702.05125 (2017). 51. Loubeyre, P., Occelli, F. & Dumas, P. Comment on: “Observation of the Wigner-Huntington transition to metallic hydrogen”. Preprint at http://arxiv.org/abs/1702.07192 (2017). 52. Goncharov, A. F. & Struzhkin, V. V. Comment on “Observation of the Wigner-Huntington transition to metallic hydrogen”. Science 357, eaam9736 (2017). 53. Liu, X.-D., Dalladay-Simpson, P., Howie, R. T., Li, B. & Gregoryanz, E. Comment on “Observation of the Wigner-Huntington transition to metallic hydrogen”. Science 357, eaan2671 (2017). Citations to these reference, plus reference 21, have been added to the fourth sentence of the Introduction: ‘The experimental realisation of atomic metallic hydrogen has remained elusive despite intense research efforts lasting over 30 years4–7,21,47–53.’ This has been corrected in the PDF and HTML versions of the Article.

## References

1. Wigner, E. & Huntington, H. B. On the possibility of a metallic modification of hydrogen. J. Chem. Phys. 3, 764–770 (1935).

2. Ashcroft, N. W. Metallic hydrogen: a high-temperature superconductor? Phys. Rev. Lett. 21, 1748–1749 (1968).

3. Babaev, E., Sudbø, A. & Ashcroft, N. A superconductor to superfluid phase transition. Nature 431, 666–668 (2004).

4. Mao, H. K. & Bell, P. M. Observations of hydrogen at room temperature (25 °C) and high pressure (to 500 kilobars). Science 203, 1004–1006 (1979).

5. Loubeyre, P., Occelli, F. & LeToullec, R. Optical studies of solid hydrogen to 320 GPa and evidence for black hydrogen. Nature 416, 613–617 (2002).

6. Eremets, M. I. & Troyan, I. A. Conductive dense hydrogen. Nat. Mater. 10, 927–931 (2011).

7. Dalladay-Simpson, P., Howie, R. T. & Gregoryanz, E. Evidence for a new phase of dense hydrogen above 325 gigapascals. Nature 529, 63–67 (2016).

8. Howie, R. T., Guillaume, C. L., Scheler, T., Goncharov, A. F. & Gregoryanz, E. Mixed molecular and atomic phase of dense hydrogen. Phys. Rev. Lett. 108, 1–5 (2012).

9. Akahama, Y., Nishimura, M., Kawamura, H., Hirao, N., Ohishi, Y. & Takemura, K. Evidence from x-ray diffraction of orientational ordering in phase III of solid hydrogen at pressures up to 183 GPa. Phys. Rev. B. 82, 060101 (2010).

10. Zha, C.-S., Liu, Z. & Hemley, R. J. Synchrotron infrared measurements of dense hydrogen to 360 GPa. Phys. Rev. Lett. 108, 146402 (2012).

11. Dias, R. & Silvera, I. Observation of the Wigner-Huntington transition to metallic hydrogen. Science 355, 715–718 (2017).

12. Eremets, M.I. & Drozdov, A. P. Comments on the claimed observation of the Wigner-Huntington transition to metallic hydrogen. Preprint at https://arxiv.org/abs/1702.05125 (2017).

13. Loubeyre, P., Occelli, F. & Dumas, P. Comment on: “Observation of the Wigner-Huntington transition to metallic hydrogen”. Preprint at https://arxiv.org/abs/1702.07192 (2017).

14. Goncharov, A. F., & Struzhkin, V. V. Comment on “Observation of the Wigner-Huntington transition to metallic hydrogen”. Science 357, eaam9736 (2017).

15. Liu, X.-D., Dalladay-Simpson, P., Howie, R. T., Li, B. & Gregoryanz, E. Comment on “Observation of the Wigner-Huntington transition to metallic hydrogen”. Science 357, eaan2671 (2017).

16. Kenichi, T., Kyoko, S., Hiroshi, F. & Mitsuko, O. Modulated structure of solid iodine during its molecular dissociation under high pressure. Nature 423, 971–974 (2003).

17. Sakai, N., Takemura, K. & Tsuji, K. Electrical properties of high-pressure metallic modification of iodine. J. Phys. Soc. Jpn. 51, 1811–1816 (1982).

18. Fujii, Y. et al. Evidence for molecular dissociation in bromine near 80 GPa. Phys. Rev. Lett. 63, 536–539 (1989).

19. Endo, S. The pressure-induced superconductivity of iodine. J. Supercond. 7, 921–924 (1994).

20. Johannsen, P. G. & Holzapfel, W. B. Effect of pressure on Raman spectra of solid chlorine. J. Phys. C: Solid State Phys. 16, 1177–1179 (1986).

21. Schiferl, D., Kinkead, S., Hanson, R. C. & Pinnick, D. A. Raman spectra and phase diagram of fluorine at pressures up to 6 gpa and temperatures between 10 and 320 k. J. Chem. Phys. 87, 3016–3021 (1987).

22. Fujihisa, H., Fujii, Y., Takemura, K. & Shimomura, O. Structural aspects of dense solid halogens under high pressure studied by X-ray diffraction-Molecular dissociation and metallization. J. Phys. Chem. Solids 56, 1439–1444 (1995).

23. Lv, Q. et al. Crystal structures and electronic properties of solid fluorine under high pressure. Chin. Phys. B 26, 076103 (2017).

24. Li, P., Gao, G. & Ma, Y. Modulated structure and molecular dissociation of solid chlorine at high pressures. J. Chem. Phys. 137, 064502 (2012).

25. Zhang, W. et al. Unexpected stable stoichiometries of sodium chlorides. Science 342, 1502–1505 (2013).

26. Miao, M. S. Caesium in high oxidation states and as a p-block element. Nat. Chem. 5, 846–852 (2013).

27. Lin, J., Zhang, S., Guan, W., Yang, G. & Ma, Y. Gold with +4 and +6 Oxidation States in AuF4 and AuF6. J. Am. Chem. Soc. 140, 9545–9550 (2018).

28. Henry, L., Svitlyk, V., Garbarino, G., Sifre, D. & Mezouar, M. Structure of solid chlorine at 1.45 GPA. Zeitschrift für Kristallographie—Crystalline Materials https://doi.org/10.1515/zkri-2018-2145 (2018).

29. Zeng, Q. et al. A new phase of solid iodine with different molecular covalent bonds. Proc. Natl Acad. Sci. USA 105, 4999–5001 (2008).

30. Wu, M., Tse, J. S. & Pan, Y. Anomalous bond length behavior and a new solid phase of bromine under pressure. Sci. Rep. 6, 1–7 (2016).

31. Congeduti, A., Postorino, P., Nardone, M. & Buontempo, U. Raman spectra of a high-pressure iodine single crystal. Phys. Rev. B 65, 143021–143026 (2002).

32. Kume, T., Hiraoka, T., Ohya, Y., Sasaki, S. & Shimizu, H. High pressure raman study of bromine and iodine: soft phonon in the incommensurate phase. Phys. Rev. Lett. 94, 1–4 (2005).

33. Hejny, C. & McMahon, M. I. Large structural modulations in incommensurate Te-III and Se-IV. Phys. Rev. Lett. 91, 21–24 (2003).

34. McMahon, M. & Nelmes, R. Incommensurate crystal structures in the elements at high pressure. Z. fur Krist. 219, 742–748 (2004).

35. Hejny, C., Lundegaard, L. F., Falconi, S., McMahon, M. I. & Hanfland, M. Incommensurate sulfur above 100 GPa. Phys. Rev. B 71, 7–10 (2005).

36. Hejny, C., Falconi, S., Lundegaard, L. F. & McMahon, M. I. Phase transitions in tellurium at high pressure and temperature. Phys. Rev. B 74, 174119 (2006).

37. Fujihisa, H. et al. Incommensurate structure of phosphorus phase IV. Phys. Rev. Lett. 98, 25–28 (2007).

38. Gregoryanz, E. et al. Structural diversity of sodium. Science 320, 1054–1057 (2008).

39. Ma, Y. et al. Transparent dense sodium. Nature 458, 182–185 (2009).

40. Powell, B. M., Heal, K. M. & Torrie, B. H. The temperature dependence of the crystal structures of the solid halogens, bromine and chlorine. Mol. Phys. 53, 929–939 (1984).

41. Meier, T. At its extremes: Nmr at giga-pascal pressures. Annu. Rep. NMR Spectrosc. 83, 1–61 (2017).

42. Meier, T., Petitgirard, S., Khandarkhaeva, S. & Dubrovinsky, L. Observation of nuclear quantum effects and hydrogen bond symmetrisation in high pressure ice. Nat. Commun. 9, 2766 (2018).

43. Mao, H. K., Xu, J. & Bell, P. M. Calibration of the ruby pressure gauge to 800 kbar under quasi-hydrostatic conditions. J. Geophys. Res. 91, 4673 (1986).

44. Akahama, Y. & Kawamura, H. Pressure calibration of diamond anvil Raman gauge to 410 GPa. J. Phys. 215, 012195 (2010).

45. Wojdyr, M. Fityk: a general-purpose peak fitting program. J. Appl. Crystallogr. 43, 1126–1128 (2010).

46. Ohishi, Y., Hirao, N., Sata, N., Hirose, K. & Takata, M. Highly intense monochromatic X-ray diffraction facility for high-pressure research at SPring-8. High. Press. Res. 28, 163–173 (2008).

47. Shen, G., Prakapenka, V. B., Eng, P. J., Rivers, M. L. & Sutton, S. R. Facilities for high-pressure research with the diamond anvil cell at GSECARS. J. Synchrotron Radiat. 12, 642–649 (2005).

48. Prescher, C. & Prakapenka, V. B. Dioptas: a program for reduction of two-dimensional x-ray diffraction data and data exploration. High. Press. Res. 35, 223–230 (2015).

49. Toby, B. H. & Von Dreele, R. B. GSAS-II: the genesis of a modern open-source all purpose crystallography software package. J. Appl. Crystallogr. 46, 544–549 (2013).

50. Petríček, V., Dušek, M. & Palatinus, L. Crystallographic computing system JANA2006: general features. Z. für Krist.-Cryst. Mater. 229, 345–352 (2014).

51. Gonzalez-Platas, J., Alvaro, M., Nestola, F. & Angel, R. J. Eosfit7-gui: a new gui tool for equation of state calculations, analyses. and teaching. J. Appl. Crystallogr. 49, 1377–1382 (2016).

52. Goncharov, A. F., Gregoryanz, E., Mao, H. K., Liu, Z. & Hemley, R. J. Optical evidence for a nonmolecular phase of nitrogen above 150 GPa. Phys. Rev. Lett. 85, 1262–1265 (2000).

53. Birch, F. Finite elastic strain of cubic crystals. Phys. Rev. 71, 809–824 (1947).

## Acknowledgements

We would like to thank Mengnan Wang, Hui-Chao Zhang, Xiao-Di Liu and Liam Kelsall for their assistance during sample loadings. PD-S and RTH acknowledge support from their respective “1000” youth talent award grants. M.P.-A. would like to acknowledge the support of the European Research Council (ERC) Grant “Hecate” reference No. 695527 secured by Graeme Ackland. Portions of this work were performed at GeoSoilEnviroCARS (The University of Chicago, Sector 13), Advanced Photon Source (APS), Argonne National Laboratory. GeoSoilEnviroCARS is supported by the National Science Foundation—Earth Sciences (EAR-1634415) and Department of Energy—GeoSciences (DE-FG02-94ER14466). This research used resources of the Advanced Photon Source, a U.S. Department of Energy (DOE) Office of Science User Facility operated for the DOE Office of Science by Argonne National Laboratory under Contract No. DE-AC02-06CH11357. Additionally, parts of this research were also conducted at the SPring-8 facility under proposal No. 2017A1401, we would like to thank Naohisa Hirao and Saori Imada-Kawaguchi for their assistance during the course of the data collection.

## Author information

Authors

### Contributions

P.D.-S., J.B., R.T.H. and Eugene.G planned the research. P.D.-S., J.B., R.T.H. and Eugene.G. wrote the paper. P.D.-S., J.B., R.T.H., M.P.-A., Eran.G, V.P. and M.-E.D carried out the experiments. P.D.-S., J.B. and R.T.H. analysed the data. P.D.-S., Eugene.G., R.T.H. and X.-J.C. contributed materials/diagnostic tools.

### Corresponding authors

Correspondence to Philip Dalladay-Simpson or Ross T. Howie.

## Ethics declarations

### Competing interests

The authors declare no competing interests.

Journal peer review information: Nature Communications thanks the anonymous reviewers for their contribution to the peer review of this work.

Publisher’s note: Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

## Rights and permissions

Reprints and Permissions

Dalladay-Simpson, P., Binns, J., Peña-Alvarez, M. et al. Band gap closure, incommensurability and molecular dissociation of dense chlorine. Nat Commun 10, 1134 (2019). https://doi.org/10.1038/s41467-019-09108-x

• Accepted:

• Published:

• DOI: https://doi.org/10.1038/s41467-019-09108-x

• ### Stability of hypothetical AgIICl2 polymorphs under high pressure, revisited: a computational study

• Wojciech Grochala

Scientific Reports (2022)