---
_id: '13118'
abstract:
- lang: eng
  text: Under high pressures and temperatures, molecular systems with substantial
    polarization charges, such as ammonia and water, are predicted to form superionic
    phases and dense fluid states with dissociating molecules and high electrical
    conductivity. This behaviour potentially plays a role in explaining the origin
    of the multipolar magnetic fields of Uranus and Neptune, whose mantles are thought
    to result from a mixture of H2O, NH3 and CH4 ices. Determining the stability domain,
    melting curve and electrical conductivity of these superionic phases is therefore
    crucial for modelling planetary interiors and dynamos. Here we report the melting
    curve of superionic ammonia up to 300 GPa from laser-driven shock compression
    of pre-compressed samples and atomistic calculations. We show that ammonia melts
    at lower temperatures than water above 100 GPa and that fluid ammonia’s electrical
    conductivity exceeds that of water at conditions predicted by hot, super-adiabatic
    models for Uranus and Neptune, and enhances the conductivity in their fluid water-rich
    dynamo layers.
acknowledgement: We acknowledge the crucial contribution of the LULI2000 laser and
  support teams to the success of the experiments. We also thank S. Brygoo and P.
  Loubeyre for useful discussions. This research was supported by the French National
  Research Agency (ANR) through the projects POMPEI (grant no. ANR-16-CE31-0008) and
  SUPER-ICES (grant ANR-15-CE30-008-01), and by the PLAS@PAR Federation. M.F. and
  R.R. gratefully acknowledge support by the DFG within the Research Unit FOR 2440.
  M.B. was supported by the European Union within the Marie Skłodowska-Curie actions
  (xICE grant 894725) and the NOMIS foundation. The DFT-MD calculations were performed
  at the North-German Supercomputing Alliance facilities.
article_processing_charge: No
article_type: original
author:
- first_name: J.-A.
  full_name: Hernandez, J.-A.
  last_name: Hernandez
- first_name: Mandy
  full_name: Bethkenhagen, Mandy
  id: 201939f4-803f-11ed-ab7e-d8da4bd1517f
  last_name: Bethkenhagen
  orcid: 0000-0002-1838-2129
- first_name: S.
  full_name: Ninet, S.
  last_name: Ninet
- first_name: M.
  full_name: French, M.
  last_name: French
- first_name: A.
  full_name: Benuzzi-Mounaix, A.
  last_name: Benuzzi-Mounaix
- first_name: F.
  full_name: Datchi, F.
  last_name: Datchi
- first_name: M.
  full_name: Guarguaglini, M.
  last_name: Guarguaglini
- first_name: F.
  full_name: Lefevre, F.
  last_name: Lefevre
- first_name: F.
  full_name: Occelli, F.
  last_name: Occelli
- first_name: R.
  full_name: Redmer, R.
  last_name: Redmer
- first_name: T.
  full_name: Vinci, T.
  last_name: Vinci
- first_name: A.
  full_name: Ravasio, A.
  last_name: Ravasio
citation:
  ama: Hernandez J-A, Bethkenhagen M, Ninet S, et al. Melting curve of superionic
    ammonia at planetary interior conditions. <i>Nature Physics</i>. 2023;19:1280-1285.
    doi:<a href="https://doi.org/10.1038/s41567-023-02074-8">10.1038/s41567-023-02074-8</a>
  apa: Hernandez, J.-A., Bethkenhagen, M., Ninet, S., French, M., Benuzzi-Mounaix,
    A., Datchi, F., … Ravasio, A. (2023). Melting curve of superionic ammonia at planetary
    interior conditions. <i>Nature Physics</i>. Springer Nature. <a href="https://doi.org/10.1038/s41567-023-02074-8">https://doi.org/10.1038/s41567-023-02074-8</a>
  chicago: Hernandez, J.-A., Mandy Bethkenhagen, S. Ninet, M. French, A. Benuzzi-Mounaix,
    F. Datchi, M. Guarguaglini, et al. “Melting Curve of Superionic Ammonia at Planetary
    Interior Conditions.” <i>Nature Physics</i>. Springer Nature, 2023. <a href="https://doi.org/10.1038/s41567-023-02074-8">https://doi.org/10.1038/s41567-023-02074-8</a>.
  ieee: J.-A. Hernandez <i>et al.</i>, “Melting curve of superionic ammonia at planetary
    interior conditions,” <i>Nature Physics</i>, vol. 19. Springer Nature, pp. 1280–1285,
    2023.
  ista: Hernandez J-A, Bethkenhagen M, Ninet S, French M, Benuzzi-Mounaix A, Datchi
    F, Guarguaglini M, Lefevre F, Occelli F, Redmer R, Vinci T, Ravasio A. 2023. Melting
    curve of superionic ammonia at planetary interior conditions. Nature Physics.
    19, 1280–1285.
  mla: Hernandez, J. A., et al. “Melting Curve of Superionic Ammonia at Planetary
    Interior Conditions.” <i>Nature Physics</i>, vol. 19, Springer Nature, 2023, pp.
    1280–85, doi:<a href="https://doi.org/10.1038/s41567-023-02074-8">10.1038/s41567-023-02074-8</a>.
  short: J.-A. Hernandez, M. Bethkenhagen, S. Ninet, M. French, A. Benuzzi-Mounaix,
    F. Datchi, M. Guarguaglini, F. Lefevre, F. Occelli, R. Redmer, T. Vinci, A. Ravasio,
    Nature Physics 19 (2023) 1280–1285.
date_created: 2023-06-04T22:01:02Z
date_published: 2023-09-01T00:00:00Z
date_updated: 2023-11-14T12:58:31Z
day: '01'
department:
- _id: BiCh
doi: 10.1038/s41567-023-02074-8
external_id:
  isi:
  - '000996921200001'
intvolume: '        19'
isi: 1
language:
- iso: eng
month: '09'
oa_version: None
page: 1280-1285
publication: Nature Physics
publication_identifier:
  eissn:
  - 1745-2481
  issn:
  - 1745-2473
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
related_material:
  link:
  - relation: erratum
    url: 10.1038/s41567-023-02130-3
scopus_import: '1'
status: public
title: Melting curve of superionic ammonia at planetary interior conditions
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 19
year: '2023'
...
---
_id: '13231'
abstract:
- lang: eng
  text: We study ab initio approaches for calculating x-ray Thomson scattering spectra
    from density functional theory molecular dynamics simulations based on a modified
    Chihara formula that expresses the inelastic contribution in terms of the dielectric
    function. We study the electronic dynamic structure factor computed from the Mermin
    dielectric function using an ab initio electron-ion collision frequency in comparison
    to computations using a linear-response time-dependent density functional theory
    (LR-TDDFT) framework for hydrogen and beryllium and investigate the dispersion
    of free-free and bound-free contributions to the scattering signal. A separate
    treatment of these contributions, where only the free-free part follows the Mermin
    dispersion, shows good agreement with LR-TDDFT results for ambient-density beryllium,
    but breaks down for highly compressed matter where the bound states become pressure
    ionized. LR-TDDFT is used to reanalyze x-ray Thomson scattering experiments on
    beryllium demonstrating strong deviations from the plasma conditions inferred
    with traditional analytic models at small scattering angles.
acknowledgement: "We want to thank P. Sperling, B. Witte, M. French, G. Röpke, H.
  J. Lee and A. Cangi for many helpful discussions. M. S. and R. R. acknowledge support
  by the Deutsche Forschungsgemeinschaft (DFG) within the Research Unit FOR 2440.
  All simulations and analyses were performed at the North-German Supercomputing Alliance
  (HLRN) and the ITMZ of the University of Rostock. M. B. gratefully acknowledges
  support by the European Horizon 2020 programme within the Marie Sklodowska-Curie
  actions (xICE grant 894725) and the\r\nNOMIS foundation. The work of T. D. was performed
  under the auspices of the U.S. Department of Energy by Lawrence Livermore National
  Laboratory under Contract No. DE-AC52-07NA27344."
article_number: '065207'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Maximilian
  full_name: Schörner, Maximilian
  last_name: Schörner
- first_name: Mandy
  full_name: Bethkenhagen, Mandy
  id: 201939f4-803f-11ed-ab7e-d8da4bd1517f
  last_name: Bethkenhagen
  orcid: 0000-0002-1838-2129
- first_name: Tilo
  full_name: Döppner, Tilo
  last_name: Döppner
- first_name: Dominik
  full_name: Kraus, Dominik
  last_name: Kraus
- first_name: Luke B.
  full_name: Fletcher, Luke B.
  last_name: Fletcher
- first_name: Siegfried H.
  full_name: Glenzer, Siegfried H.
  last_name: Glenzer
- first_name: Ronald
  full_name: Redmer, Ronald
  last_name: Redmer
citation:
  ama: Schörner M, Bethkenhagen M, Döppner T, et al. X-ray Thomson scattering spectra
    from density functional theory molecular dynamics simulations based on a modified
    Chihara formula. <i>Physical Review E</i>. 2023;107(6). doi:<a href="https://doi.org/10.1103/PhysRevE.107.065207">10.1103/PhysRevE.107.065207</a>
  apa: Schörner, M., Bethkenhagen, M., Döppner, T., Kraus, D., Fletcher, L. B., Glenzer,
    S. H., &#38; Redmer, R. (2023). X-ray Thomson scattering spectra from density
    functional theory molecular dynamics simulations based on a modified Chihara formula.
    <i>Physical Review E</i>. American Physical Society. <a href="https://doi.org/10.1103/PhysRevE.107.065207">https://doi.org/10.1103/PhysRevE.107.065207</a>
  chicago: Schörner, Maximilian, Mandy Bethkenhagen, Tilo Döppner, Dominik Kraus,
    Luke B. Fletcher, Siegfried H. Glenzer, and Ronald Redmer. “X-Ray Thomson Scattering
    Spectra from Density Functional Theory Molecular Dynamics Simulations Based on
    a Modified Chihara Formula.” <i>Physical Review E</i>. American Physical Society,
    2023. <a href="https://doi.org/10.1103/PhysRevE.107.065207">https://doi.org/10.1103/PhysRevE.107.065207</a>.
  ieee: M. Schörner <i>et al.</i>, “X-ray Thomson scattering spectra from density
    functional theory molecular dynamics simulations based on a modified Chihara formula,”
    <i>Physical Review E</i>, vol. 107, no. 6. American Physical Society, 2023.
  ista: Schörner M, Bethkenhagen M, Döppner T, Kraus D, Fletcher LB, Glenzer SH, Redmer
    R. 2023. X-ray Thomson scattering spectra from density functional theory molecular
    dynamics simulations based on a modified Chihara formula. Physical Review E. 107(6),
    065207.
  mla: Schörner, Maximilian, et al. “X-Ray Thomson Scattering Spectra from Density
    Functional Theory Molecular Dynamics Simulations Based on a Modified Chihara Formula.”
    <i>Physical Review E</i>, vol. 107, no. 6, 065207, American Physical Society,
    2023, doi:<a href="https://doi.org/10.1103/PhysRevE.107.065207">10.1103/PhysRevE.107.065207</a>.
  short: M. Schörner, M. Bethkenhagen, T. Döppner, D. Kraus, L.B. Fletcher, S.H. Glenzer,
    R. Redmer, Physical Review E 107 (2023).
date_created: 2023-07-16T22:01:10Z
date_published: 2023-06-14T00:00:00Z
date_updated: 2023-08-02T06:30:46Z
day: '14'
department:
- _id: BiCh
doi: 10.1103/PhysRevE.107.065207
external_id:
  arxiv:
  - '2301.01545'
  isi:
  - '001020265000002'
intvolume: '       107'
isi: 1
issue: '6'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2301.01545
month: '06'
oa: 1
oa_version: Preprint
publication: Physical Review E
publication_identifier:
  eissn:
  - 2470-0053
  issn:
  - 2470-0045
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
scopus_import: '1'
status: public
title: X-ray Thomson scattering spectra from density functional theory molecular dynamics
  simulations based on a modified Chihara formula
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 107
year: '2023'
...
---
_id: '12702'
abstract:
- lang: eng
  text: Hydrocarbon mixtures are extremely abundant in the Universe, and diamond formation
    from them can play a crucial role in shaping the interior structure and evolution
    of planets. With first-principles accuracy, we first estimate the melting line
    of diamond, and then reveal the nature of chemical bonding in hydrocarbons at
    extreme conditions. We finally establish the pressure-temperature phase boundary
    where it is thermodynamically possible for diamond to form from hydrocarbon mixtures
    with different atomic fractions of carbon. Notably, here we show a depletion zone
    at pressures above 200 GPa and temperatures below 3000 K-3500 K where diamond
    formation is thermodynamically favorable regardless of the carbon atomic fraction,
    due to a phase separation mechanism. The cooler condition of the interior of Neptune
    compared to Uranus means that the former is much more likely to contain the depletion
    zone. Our findings can help explain the dichotomy of the two ice giants manifested
    by the low luminosity of Uranus, and lead to a better understanding of (exo-)planetary
    formation and evolution.
acknowledgement: BC thanks Daan Frenkel for stimulating discussions. We thank Aleks
  Reinhardt, Daan Frenkel, Marius Millot, Federica Coppari, Rhys Bunting, and Chris
  J. Pickard for critically reading the manuscript and providing useful suggestions.
  BC acknowledges resources provided by the Cambridge Tier-2 system operated by the
  University of Cambridge Research Computing Service funded by EPSRC Tier-2 capital
  grant EP/P020259/1. SH acknowledges support from LDRD 19-ERD-031 and computing support
  from the Lawrence Livermore National Laboratory (LLNL) Institutional Computing Grand
  Challenge program. Lawrence Livermore National Laboratory is operated by Lawrence
  Livermore National Security, LLC, for the U.S. Department of Energy, National Nuclear
  Security Administration under Contract DE-AC52-07NA27344. MB acknowledges support
  by the European Horizon 2020 program within the Marie Skłodowska-Curie actions (xICE
  grant number 894725), funding from the NOMIS foundation and computational resources
  at the North-German Supercomputing Alliance (HLRN) facilities.
article_number: '1104'
article_processing_charge: No
article_type: original
author:
- first_name: Bingqing
  full_name: Cheng, Bingqing
  id: cbe3cda4-d82c-11eb-8dc7-8ff94289fcc9
  last_name: Cheng
  orcid: 0000-0002-3584-9632
- first_name: Sebastien
  full_name: Hamel, Sebastien
  last_name: Hamel
- first_name: Mandy
  full_name: Bethkenhagen, Mandy
  id: 201939f4-803f-11ed-ab7e-d8da4bd1517f
  last_name: Bethkenhagen
  orcid: 0000-0002-1838-2129
citation:
  ama: Cheng B, Hamel S, Bethkenhagen M. Thermodynamics of diamond formation from
    hydrocarbon mixtures in planets. <i>Nature Communications</i>. 2023;14. doi:<a
    href="https://doi.org/10.1038/s41467-023-36841-1">10.1038/s41467-023-36841-1</a>
  apa: Cheng, B., Hamel, S., &#38; Bethkenhagen, M. (2023). Thermodynamics of diamond
    formation from hydrocarbon mixtures in planets. <i>Nature Communications</i>.
    Springer Nature. <a href="https://doi.org/10.1038/s41467-023-36841-1">https://doi.org/10.1038/s41467-023-36841-1</a>
  chicago: Cheng, Bingqing, Sebastien Hamel, and Mandy Bethkenhagen. “Thermodynamics
    of Diamond Formation from Hydrocarbon Mixtures in Planets.” <i>Nature Communications</i>.
    Springer Nature, 2023. <a href="https://doi.org/10.1038/s41467-023-36841-1">https://doi.org/10.1038/s41467-023-36841-1</a>.
  ieee: B. Cheng, S. Hamel, and M. Bethkenhagen, “Thermodynamics of diamond formation
    from hydrocarbon mixtures in planets,” <i>Nature Communications</i>, vol. 14.
    Springer Nature, 2023.
  ista: Cheng B, Hamel S, Bethkenhagen M. 2023. Thermodynamics of diamond formation
    from hydrocarbon mixtures in planets. Nature Communications. 14, 1104.
  mla: Cheng, Bingqing, et al. “Thermodynamics of Diamond Formation from Hydrocarbon
    Mixtures in Planets.” <i>Nature Communications</i>, vol. 14, 1104, Springer Nature,
    2023, doi:<a href="https://doi.org/10.1038/s41467-023-36841-1">10.1038/s41467-023-36841-1</a>.
  short: B. Cheng, S. Hamel, M. Bethkenhagen, Nature Communications 14 (2023).
date_created: 2023-03-05T23:01:04Z
date_published: 2023-02-27T00:00:00Z
date_updated: 2023-08-01T13:36:11Z
day: '27'
ddc:
- '540'
department:
- _id: BiCh
doi: 10.1038/s41467-023-36841-1
external_id:
  isi:
  - '000939678300002'
  pmid:
  - '36843123'
file:
- access_level: open_access
  checksum: 5ff61ad21511950c15abb73b18613883
  content_type: application/pdf
  creator: cchlebak
  date_created: 2023-03-07T10:58:00Z
  date_updated: 2023-03-07T10:58:00Z
  file_id: '12713'
  file_name: 2023_NatComm_Cheng.pdf
  file_size: 1946443
  relation: main_file
  success: 1
file_date_updated: 2023-03-07T10:58:00Z
has_accepted_license: '1'
intvolume: '        14'
isi: 1
language:
- iso: eng
month: '02'
oa: 1
oa_version: Published Version
pmid: 1
project:
- _id: 9B861AAC-BA93-11EA-9121-9846C619BF3A
  name: NOMIS Fellowship Program
publication: Nature Communications
publication_identifier:
  eissn:
  - 2041-1723
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Thermodynamics of diamond formation from hydrocarbon mixtures in planets
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 14
year: '2023'
...
---
_id: '13039'
abstract:
- lang: eng
  text: We calculate reflectivities of dynamically compressed water, water-ethanol
    mixtures, and ammonia at infrared and optical wavelengths with density functional
    theory and molecular dynamics simulations. The influence of the exchange-correlation
    functional on the results is examined in detail. Our findings indicate that the
    consistent use of the HSE hybrid functional reproduces experimental results much
    better than the commonly used PBE functional. The HSE functional offers not only
    a more accurate description of the electronic band gap but also shifts the onset
    of molecular dissociation in the molecular dynamics simulations to significantly
    higher pressures. We also highlight the importance of using accurate reference
    standards in reflectivity experiments and reanalyze infrared and optical reflectivity
    data from recent experiments. Thus, our combined theoretical and experimental
    work explains and resolves lingering discrepancies between calculations and measurements
    for the investigated molecular substances under shock compression.
acknowledgement: 'We thank R. Redmer for helpful discussions. M.F. acknowledges support
  by the Deutsche Forschungsgemeinschaft (DFG) within the FOR 2440. M.B. gratefully
  acknowledges support by the European Horizon 2020 programme within the Marie Skłodowska-Curie
  actions (xICE Grant No. 894725) and the NOMIS foundation. A.R. and J.-A.H. acknowledge
  support form the French National Research Agency (ANR) through the projects POMPEI
  (Grant No. ANR-16-CE31-0008) and SUPER-ICES (Grant No. ANR-15-CE30-008-01). The
  ab initio calculations were performed at the NorthGerman Supercomputing Alliance
  (HLRN) facilities. '
article_number: '134109'
article_processing_charge: No
article_type: original
author:
- first_name: Martin
  full_name: French, Martin
  last_name: French
- first_name: Mandy
  full_name: Bethkenhagen, Mandy
  id: 201939f4-803f-11ed-ab7e-d8da4bd1517f
  last_name: Bethkenhagen
  orcid: 0000-0002-1838-2129
- first_name: Alessandra
  full_name: Ravasio, Alessandra
  last_name: Ravasio
- first_name: Jean Alexis
  full_name: Hernandez, Jean Alexis
  last_name: Hernandez
citation:
  ama: French M, Bethkenhagen M, Ravasio A, Hernandez JA. Ab initio calculation of
    the reflectivity of molecular fluids under shock compression. <i>Physical Review
    B</i>. 2023;107(13). doi:<a href="https://doi.org/10.1103/PhysRevB.107.134109">10.1103/PhysRevB.107.134109</a>
  apa: French, M., Bethkenhagen, M., Ravasio, A., &#38; Hernandez, J. A. (2023). Ab
    initio calculation of the reflectivity of molecular fluids under shock compression.
    <i>Physical Review B</i>. American Physical Society. <a href="https://doi.org/10.1103/PhysRevB.107.134109">https://doi.org/10.1103/PhysRevB.107.134109</a>
  chicago: French, Martin, Mandy Bethkenhagen, Alessandra Ravasio, and Jean Alexis
    Hernandez. “Ab Initio Calculation of the Reflectivity of Molecular Fluids under
    Shock Compression.” <i>Physical Review B</i>. American Physical Society, 2023.
    <a href="https://doi.org/10.1103/PhysRevB.107.134109">https://doi.org/10.1103/PhysRevB.107.134109</a>.
  ieee: M. French, M. Bethkenhagen, A. Ravasio, and J. A. Hernandez, “Ab initio calculation
    of the reflectivity of molecular fluids under shock compression,” <i>Physical
    Review B</i>, vol. 107, no. 13. American Physical Society, 2023.
  ista: French M, Bethkenhagen M, Ravasio A, Hernandez JA. 2023. Ab initio calculation
    of the reflectivity of molecular fluids under shock compression. Physical Review
    B. 107(13), 134109.
  mla: French, Martin, et al. “Ab Initio Calculation of the Reflectivity of Molecular
    Fluids under Shock Compression.” <i>Physical Review B</i>, vol. 107, no. 13, 134109,
    American Physical Society, 2023, doi:<a href="https://doi.org/10.1103/PhysRevB.107.134109">10.1103/PhysRevB.107.134109</a>.
  short: M. French, M. Bethkenhagen, A. Ravasio, J.A. Hernandez, Physical Review B
    107 (2023).
date_created: 2023-05-21T22:01:04Z
date_published: 2023-04-01T00:00:00Z
date_updated: 2023-08-01T14:45:25Z
day: '01'
department:
- _id: BiCh
doi: 10.1103/PhysRevB.107.134109
external_id:
  isi:
  - '000974672600001'
intvolume: '       107'
isi: 1
issue: '13'
language:
- iso: eng
month: '04'
oa_version: None
publication: Physical Review B
publication_identifier:
  eissn:
  - 2469-9969
  issn:
  - 2469-9950
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
scopus_import: '1'
status: public
title: Ab initio calculation of the reflectivity of molecular fluids under shock compression
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 107
year: '2023'
...
