Future applications of the high-flux thermal neutron spectroscopy: the ever-green case of collective excitations in liquid metals

References

• Lovesey SW. Theory of neutron scattering from condensed matter. Oxford (UK): Clarendon; 1987.
   Google Scholar
• Skold K, Price DL, editors. Methods in experimental physics; Vol. 23. Part A. London (UK): Academic Press; 1986.
   Google Scholar
• Windsor CG. Pulsed neutron scattering. London (UK): Taylor & Francis; 1981.
   Google Scholar
• Dianoux AJ, Lander G, editors. Neutron data booklet. Philadelphia (US): Old City Publishing; 2003.
   Google Scholar
• Cavaye CH. Neutron spectroscopy: an under-utilised tool for organic electronics research? Angew Chem Int Ed. 2019 Jul;58:9338–60.
   PubMed Web of Science ®Google Scholar
• Hippert F, Geissler E, Hodeau JL, et al., editors. Neutron and X-ray spectroscopy. The Netherlands: Springer; 2006.
   Google Scholar
• Liebschner D, Afonine PV, Baker ML, et al. Macromolecular structure determination using X-rays, neutrons and electrons: recent developments in Phenix. Acta Cryst. 2019;D75:861–877.
   Google Scholar
• Doktorova M, Kučerka N, Kinnun JJ, et al. Molecular structure of sphingomyelin in fluid phase bilayers determined by the joint analysis of small-angle neutron and X-ray scattering data. J Phys Chem B. 2020 May;124:5186–5200.
   PubMed Web of Science ®Google Scholar
• Semeraro EF, Marx L, Frewein MPK, et al. Increasing complexity in small-angle X-ray and neutron scattering experiments: from biological membrane mimics to live cells. Soft Matter. Feb 2020; doi:https://doi.org/10.1039/c9sm02352f.
   Google Scholar
• Weinberg AM. Oak ridge national laboratory. Science. 1949 Mar;109:245–248.
   PubMed Web of Science ®Google Scholar
• Shull CG, Strauser WA, Wollan EO. Neutron diffraction by paramagnetic and antiferromagnetic substances. Phys Rev. 1951 Jul;83:333–345.
   Web of Science ®Google Scholar
• Anderson PW. More and different: notes from a thoughtful curmudgeon. Singapore: World Scientific. 2011;pp. 404–408.
   Google Scholar
• Carlile CJ The ILL Millennium programme. Institut Laue-Langevin, Grenoble (FR): April 2001 Internal Report.
   Google Scholar
• Petry W. Advanced neutron instrumentation at FRM-II. Atw Internationale Zeitschrift fuer Kernenergie. 2003;48:315–318.
   Google Scholar
• Bennington SM, Campbell SI, Broome TA, et al. ISIS target station II: preliminary target and moderator simulations. J Neutron Res. 2003 May;11:93–98.
   Google Scholar
• Henderson S, Abraham W, Aleksandrov A, et al. The spallation neutron source accelerator system design. Nuc Inst Methods Phys Res Sec A. 2014 Jun;763:610–763.
   Web of Science ®Google Scholar
• Carlile CJ, Petrillo C. editors.Neutron scattering facilities in Europe present status and future perspectives. Vol. 1. ESFRI Scripta Universitá degli Studi di Milano (IT): September 2016.
   Google Scholar
• Peggs S, editor, ESS technical design report, April 2013. doi:https://doi.org/10.13140/RG.2.1.2040.6483/1
   Google Scholar
• Mezei MF. The raison d’être of long pulse spallation sources. J Neutron Res. 1997;6:3–32.
   Google Scholar
• Zanini L, Andersen KH, Batkov K, et al. Design of the cold and thermal neutron moderators for the European spallation source. Nucl Instrum Methods Phys Res A. 2019;925:33–52.
   Web of Science ®Google Scholar
• Andersen KH, Argyriou DN, Jackson AJ, et al. The instrument suite of the European spallation source. Nuc Inst Methods Phys Res Sec A. 2020;957:163402.
   Web of Science ®Google Scholar
• Blume M. Polarization effects in the magnetic elastic scattering of slow neutrons. Phys Rev. 1963 Jun;130:1670–1676.
   Google Scholar
• Maleev SV, Bar’yakhtar VG, Suris RA. Fiz. Tverd Tela (Leningrad). 1962;4:3461.
   Google Scholar
• Blume M. Neutron polarization phenomena in scattering processes. Physica B. 1999;267- 268:211–214.
   Web of Science ®Google Scholar
• Moon RM, Riste T, Koehler WC. Polarization analysis of Thermal-Neutron Scattering. Phys Rev. 1969 May;181:920–931.
   Web of Science ®Google Scholar
• Halpern O, Johnson MH. On the magnetic scattering of neutrons. Phys Rev. 1939 May;55:898–923.
   Google Scholar
• Hicks TJ. Experiments with neutron polarization analysis. Adv Phys. 1996 Nov;45:243–298.
   Web of Science ®Google Scholar
• Chatterji T, editor. Neutron scattering from magnetic materials. Amsterdam (NL): Elsevier B.V; 2006.
   Google Scholar
• Chisnell R, Helton JS, Freedman DE, et al. Topological magnon bands in a kagome lattice ferromagnet. Phys Rev Lett. 2015 Sep;115:147201.
   Web of Science ®Google Scholar
• Soh J-R, de Juan F, Qureshi N, et al. Ground-state magnetic structure of Mn3Ge. Phys Rev B. 2020 Apr;101:140411(R).
   PubMedGoogle Scholar
• Brown PJ, Nunez V, Tasset F, et al. Determination of the magnetic structure of Mn3Sn using generalized neutron polarization analysis. J Phys Condens Matter. 1990 Aug;2:9409–9422.
   Web of Science ®Google Scholar
• Leliévre-Berna E, Bourgeat-Lami E, Fouilloux P, et al. Advances in spherical neutron polarimetry with Cryopad. Physica B: Condens Matter. 2005;356:131–135.
   Web of Science ®Google Scholar
• Di Fabrizio E, Mazzone G, Petrillo C, et al. Spin-density of ordered FeCo - A failure of the local-spin-density approximation. Phys Rev B. 1989 Nov;40:9502–9507.
   Web of Science ®Google Scholar
• Dalla Piazza B, Mourigal M, Christensen NB, et al. Fractional excitations in the square-lattice quantum antiferromagnet. Nat Phys. 2015 Jan;11:62–68.
   PubMed Web of Science ®Google Scholar
• Arbe A, Malo de Molina P, Alvarez F, et al. Dielectric susceptibility of liquid water: microscopic insights from coherent and incoherent neutron scattering. Phys Rev Lett. 2016 Oct;117:185501.
   PubMed Web of Science ®Google Scholar
• Arbe A, Nilsen GJ, Stewart JR, et al. Coherent structural relaxation of water from meso- to intermolecular scales measured using neutron spectroscopy with polarization analysis. Phys Rev Research. 2020 Apr;2:022015(R).
   Google Scholar
• Burankova T, Hempelmann R, Wildes A, et al. Collective ion diffusion and localized single particle dynamics in pyridinium-based ionic liquids. J Phys Chem B. 2014 Nov;118:14452–14460.
   PubMed Web of Science ®Google Scholar
• Cassella G, Stewart JR, Paternó GM, et al. Polarization analysis on the LET cold neutron spectrometer using a 3He spin-fllter: flrst results. J Phys. 2019;1316:012007.
   Google Scholar
• Landau LD, Lifshitz EM. Statistical physics. Amsterdam (NL): Elsevier Ltd; 1980.
   Google Scholar
• Boon JP, Yip S. Molecular hydrodynamics. New York (US): McGraw-Hill; 1980.
   Google Scholar
• Hansen J-P , McDonald I. Theory of Simple Liquids. New York (US): Academic; 1986.
   Google Scholar
• March N, Tosi M. Atomic dynamics in liquids. New York (US): Dover; 1991.
   Google Scholar
• Ziman J. Models of disorder. Cambridge (UK): Cambridge University Press; 1979.
   Google Scholar
• Barker JA, Henderson D. What is ”liquid”? Understanding the states of matter. Rev Mod Phys. 1976 Oct;48:587–671.
   Web of Science ®Google Scholar
• Egelstaff P. An introduction to the liquid state. New York (US): Academic; 1967.
   Google Scholar
• Balucani U, Zoppi M. Dynamics of the liquid state. Oxford (UK): Clarendon; 1983.
   Google Scholar
• Allen MP, Tildesley DJ. Computer simulation of liquids. New York (US): Oxford University Press; 2017.
   Google Scholar
• Montfrooij W, de Schepper I. Excitations in simple liquids, liquid metals and superfluids. New York (US): Oxford University Press; 2010.
   Google Scholar
• Cunsolo A. The THz dynamics of liquids probed by inelastic X-ray scattering. Singapore: World Scientific; 2020.
   Google Scholar
• Bulavin L, Lebovka N, editors, Physics of liquid matter: modern problems. Proceedings, Kyiv, Ukraine, 23–27 May 2014. Springer Proceedings in Physics. Volume 171. Switzerland (CH): Springer International Publishing 2015.
   Google Scholar
• Copley JRD, Lovesey SW. The dynamic properties of monatomic liquids. Rep Prog Phys. 1975 Apr;38:461–563.
   Web of Science ®Google Scholar
• Scopigno T, Ruocco G, Sette F. Microscopic dynamics in liquid metals: the experimental point of view. Rev Mod Physics. 2005 Jul;77:881–933.
   Google Scholar
• Pilgrim W-C, Morkel Chr. State dependent particle dynamics in liquid alkali metals. J Phys Condens Matter. 2006 Aug;18:R585–R633.
   PubMed Web of Science ®Google Scholar
• Takeno S, Goda MA. A theory of phonons in amorphous solids and its implications to collective motion in simple liquids. Prog Theoretical Phys. 1971 Feb;45:331–352.
   Web of Science ®Google Scholar
• Hubbard J, Beeby JL. Collective motion in liquids. J Phys C. 1969 Mar;2:556–571.
   Web of Science ®Google Scholar
• Yoshida F, Takeno TS. Dynamical correlations and collective excitations in liquids. Phys Rep. 1989;173:301–379.
   Google Scholar
• Schirmacher W, Schmid B, Sinn H. Theory of collective excitations in simple liquids. Eur Phys J Special Topics. 2011 May;196:3–13.
   Web of Science ®Google Scholar
• Trachenko K, Brazhkin VV. Duality of liquids. Sci Rep. 2013 Jul;3:2188.
   Web of Science ®Google Scholar
• Bolmatov D, Musaev ET, Trachenko K. Symmetry breaking gives rise to energy spectra of three states of matter. Sci Rep. 2013 Sep;3:2794.
   PubMed Web of Science ®Google Scholar
• Trachenko K, Brazhkin VV. Collective modes and thermodynamics of the liquid state. Rep Prog Phys. 2016 Jan; 79:3016502.
   Web of Science ®Google Scholar
• Trachenko K. Lagrangian formulation and symmetrical description of liquid dynamics. Phys Rev E. 2017 Dec;96:062134.
   Web of Science ®Google Scholar
• Baggioli M, Vasin M, Brazhkin V, et al. Gapped momentum states. Phys Rep. 2020 Apr;865:1–44.
   Google Scholar
• Copley JRD, Rowe JM. Short-wavelength collective excitations in liquid rubidium observed by coherent neutron scattering. Phys Rev Lett. 1974 Jan;32:49–52.
   Web of Science ®Google Scholar
• Bove LE, Sacchetti F, Petrillo C, et al. Neutron investigation of collective excitations in liquid K-Cs alloys: the role of the electron density. Phys Rev Lett. 2000 Dec;85:5352–5355.
   PubMed Web of Science ®Google Scholar
• Sinn H, Sette F, Bergmann U, et al. Coherent dynamic structure factor of liquid lithium by inelastic X-Ray scattering. Phys Rev Lett. 1997 Mar;78:1715–1718.
   Web of Science ®Google Scholar
• de Schepper IM, Verkerk P, van Well AA, et al. Short-wavelength sound modes in liquid argon. Phys Rev Lett. 1983 Mar;50:974–977.
   Web of Science ®Google Scholar
• Cunsolo A, Pratesi G, Verbeni R, et al. Microscopic relaxation in supercritical and liquid neon. J Chem Phys. 2001 Feb;114:2259–2267.
   Web of Science ®Google Scholar
• Demmel F, Hosokawa S, Lorenzen M, et al. Propagating particle density fluctuations in molten NaCl. Phys Rev B. 2004 Jan;69:012203.
   Web of Science ®Google Scholar
• Giura P, Angelini R, Datchi F, et al. High frequency dynamics and structural relaxation process in liquid ammonia. J Chem Phys. 2007 Aug;127:084508.
   PubMed Web of Science ®Google Scholar
• Monaco G, Masciovecchio C, Ruocco G, et al. Determination of the infinite frequency sound velocity in the glass formero-terphenyl.. Phys Rev Lett. 1998 Mar;80:2161–2164.
   Web of Science ®Google Scholar
• Orecchini A, Paciaroni A, De Francesco A, et al. Collective dynamics of protein hydration water by brillouin neutron spectroscopy. J Am Chem Soc. 2009 Apr;131:4664–4669.
   PubMed Web of Science ®Google Scholar
• Teixeira J, Bellissent-Funel MC, Chen SH, et al. Observation of new short-wavelength collective excitations in heavy water by coherent inelastic neutron scattering. Physical Review Letters. 1985 Jun;54:2681–2683.
   PubMed Web of Science ®Google Scholar
• Sette F, Ruocco G, Krisch M, et al. Collective dynamics in water by high energy resolution inelastic X-Ray scattering. Physical Review Letters. 1995 Jul;75:850–853.
   PubMed Web of Science ®Google Scholar
• Petrillo C, Sacchetti F, Dorner B, et al. High-resolution neutron scattering measurement of the dynamic structure factor of heavy water. Physical Review E. 2000 Sep;62:3611–3618.
   Web of Science ®Google Scholar
• Sacchetti F, Suck J-B, Petrillo C, et al. Brillouin neutron scattering in heavy water: evidence for two-mode collective dynamics. Physical Review E. 2004 Jun;69:061203.
   Web of Science ®Google Scholar
• Cunsolo A, Kodituwakku CN, Bencivenga F, et al. Transverse dynamics of water across the melting point: A parallel neutron and X-ray inelastic scattering study. Physical Review B. 2012 May;85:174305.
   Web of Science ®Google Scholar
• Pontecorvo E, Krisch M, Cunsolo A, et al. High-frequency longitudinal and transverse dynamics in water. Physical Review E. 2005 Jan;71:011501.
   Web of Science ®Google Scholar
• Giordano VM, Monaco G. Fingerprints of order and disorder on the high-frequency dynamics of liquids. PNAS. 2010 Dec;107:21985–21989.
   Web of Science ®Google Scholar
• Hosokawa S, Inui M, Kajihara Y, et al. Transverse acoustic excitations in liquid Ga. Phys Rev Lett. 2009 Mar;102:105502.
   PubMed Web of Science ®Google Scholar
• Hosokawa S, Inui M, Kajihara Y, et al. Transverse excitations in liquid Fe, Cu and Zn. J Phys. 2015 Apr;27:194104.
   Google Scholar
• Zanatta M, Sacchetti F, Guarini E, et al. Collective Ion dynamics in liquid zinc: evidence for complex dynamics in a non-free-electron liquid metal. Phys Rev Lett. 2015 May;114:187801.
   PubMed Web of Science ®Google Scholar
• Hosokawa S, Munejiri S, Inui M, et al. Transverse excitations in liquid Sn. J Phys. 2013 Feb;25:112101.
   Google Scholar
• Brockhouse BN, Pope NK. Time-dependent pair correlations in liquid lead. Phys Rev Lett. 1959 Sep;3:259–262.
   Web of Science ®Google Scholar
• Brockhouse BN. Bull. Am Phys Soc Ser. II 1958;3:233.
   Google Scholar
• Rahman A. Propagation of Density Fluctuations in Liquid Rubidium: A Molecular-Dynamics Study. Phys Rev Lett. 1974 Jan;32:52–54.
   Web of Science ®Google Scholar
• Ichimaru S. Strongly coupled plasmas: high-density classical plasmas and degenerate electron liquids. Rev Mod Phys. 1982 Oct;54:1017–1059.
   Web of Science ®Google Scholar
• March NH. Liquid Metals. New York (US): Cambridge University Press; 1990.
   Google Scholar
• Bove LE, Petrillo C, Sacchetti F. Ion density fluctuations in liquid metals: the strongly interacting ion-electron plasma. Condens Matter Phys. 2008;11:119–126.
   Web of Science ®Google Scholar
• Sani L, Petrillo C, Sacchetti F. Determination of the interstitial electron density in liquid metals: basic quantity to calculate the ion collective-mode velocity and related properties. Phys Rev B. 2014 Jul;90:024207.
   Web of Science ®Google Scholar
• Ashcroft NW, Stroud D. Theory of the thermodynamics of simple liquid metals. Solid State Phys. 1978;33:1–81.
   Google Scholar
• Pines D, Nozieres P. The theory of quantum liquids. New York (US): W. A. Benjamin, Inc; 1966.
   Google Scholar
• Lide DR. Boca Raton (Florida, US): CRC Press LLC 2005. J Am Chem Soc. 2005;127:4542–14542. editor CRC Handbook of Chemistry and Physics, 85th ed. .
   Google Scholar
• Daeneke T, Khoshmanesh K, Mahmood N, et al. Liquid metals: fundamentals and applications in chemistry. Chem Soc Rev. 2018 Jan;47:4073–4111.
   PubMed Web of Science ®Google Scholar
• Chen S, Wang H-Z, Sun X-Y, et al. Generalized way to make temperature tunable conductor–insulator transition liquid metal composites in a diverse range. Mater Horiz. 2019 Jun;6:1854–1861.
   Web of Science ®Google Scholar
• Guyue B, Ren L, Xun X et al. Recent Progress on Liquid Metals and Their Applications. Adv Phys X. 2018 Mar;3:412–442.
   Google Scholar
• Chen S, Wang H-Z, Zhao R-Q, et al. Liquid metal composites. Matter. 2020 Jun;2:1446–1480.
   Google Scholar
• Van Hove L. Correlations in space and time and born approximation scattering in systems of interacting particles. Phys Rev. 1954 Jul;95:249–262.
   Web of Science ®Google Scholar
• Mori H. Transport, collective motion, and brownian motion. Prog Theoretical Phys. 1965 Mar;33:423–455.
   Web of Science ®Google Scholar
• Mori H. A continued-fraction representation of the time-correlation functions. Prog Theoretical Phys. 1965 Sep;34:399–416.
   Web of Science ®Google Scholar
• Qureshi N, Ressouche E, Mukhin A, et al. Proof of the elusive high-temperature incommensurate phase in CuO by spherical neutron polarimetry. Sci Adv. 2020 Feb;6:eaay7661.
   PubMed Web of Science ®Google Scholar
• Lovesey SW, Chatterji T, Stunault A, et al. Direct observation of anapoles by neutron diffraction. Phys Rev Lett. 2019 Feb;122:047203.
   PubMed Web of Science ®Google Scholar
• Nambu Y, Barker J, Okino Y, et al. Observation of magnon polarization. Phys Rev Lett. 2020 Jul;125:027201.
   Web of Science ®Google Scholar
• Steffens P, Sidis Y, Kulda J, et al. Spin fluctuations in Sr_2RuO_4 (Sr(sub2)RuO(sub4) from polarized neutron scattering: implications for superconductivity. Phys Rev Lett. 2019 Feb;122:047004.
   Web of Science ®Google Scholar
• Patty M, Schoen K, Montfrooij W, et al. Polarized neutron scattering investigation of excitations at low momentum transfer in liquid Ga: the mystery continues. J Non-Crystalline Solids. 2011 Nov;357:1000–1003.
   Web of Science ®Google Scholar
• Zhaoa JK, Robertson L, Herwig K, et al. Polarized neutron in structural biology – present and future outlook. Paper Presented at 9th International Workshop on Polarised Neutrons in Condensed Matter Investigations (PNCMI2012). Physics Procedia. 2013;42:39–45.
   Google Scholar
• Hutanu V, Luberstetter W, Bourgeat-Lami E, et al. Implementation of a new Cryopad on the diffractometer POLI at MLZ. Rev Sci Instrum. 2016 Oct;87:105108.
   PubMed Web of Science ®Google Scholar
• https://europeanspallationsource.se/instruments/t-rex#science-case. Available from: https://www.fz-juelich.de/jcns/jcns-2/EN/Forschung/Instruments-for-ESS/Instruments/T-REX/artikel.html (26 Jan 2021)
   Google Scholar
• de Schepper IM, Cohen EGD, Bruin C, et al. Hydrodynamic time correlation functions for a Lennard-Jones fluid. Phys Rev A. 1988 Jul;38:271–287.
   PubMed Web of Science ®Google Scholar
• Mryglod IM, Omelyan IP, Tokarchuk MV. Generalized collective modes for the Lennard-Jones fluid. Mol Phys. 1995 Aug;84:235–259.
   Web of Science ®Google Scholar
• Bryk T, Ruocco G, Scopigno T, et al. Pressure-induced emergence of unusually high-frequency transverse excitations in a liquid alkali metal: evidence of two types of collective excitations contributing to the transverse dynamics at high pressures. J Chem Phys. 2015 Sep;143:104502.
   PubMed Web of Science ®Google Scholar
• Bryk T, Wax J-F. A search for manifestation of two types of collective excitations in dynamic structure of a liquid metal: ab initio study of collective excitations in liquid Na. J Chem Phys. 2016 May;144:194501.
   Web of Science ®Google Scholar
• Bryk T, Huerta A, Hordiichuk V, et al. Non-hydrodynamic transverse collective excitations in hard-sphere fluids. J Chem Phys. 2017 Aug;147:064509.
   PubMed Web of Science ®Google Scholar
• Bryk T, Demchuk T, Wax J-F JN. Pressure-induced effects in the spectra of collective excitations in pure liquid metals. J Phys-Condens Matter. 2020 May;32:184002.
   PubMed Web of Science ®Google Scholar
• Chushak Y, Bryk T, Baumketner A, et al. Dynamical properties of liquid binary alloys: A memory function study. Phys Chem Liq. 1996;32:87–102.
   Web of Science ®Google Scholar
• Bryk T, Mryglod I. Generalized hydrodynamics of binary liquids: transverse collective modes. Phys Rev E. 2000 Aug;62:2188–2199.
   Web of Science ®Google Scholar
• Bryk T, Mryglod I. Concentration fluctuations and boson peak in a binary metallic glass: A generalized collective modes study. Phys Rev B. 2010 Nov;82:174205.
   Web of Science ®Google Scholar
• Del Rio BG, Pascual P, Rodriguez R, et al. First principles determination of some static and dynamic properties of the liquid 3d transition metals near melting. Condens Matter Phys. 2020;23:23606.
   Web of Science ®Google Scholar
• Del Rio BG, Gonzalez LE. Longitudinal, transverse, and single-particle dynamics in liquid Zn: ab initio study and theoretical analysis. Phys Rev B. 2017 Jun;95:224201.
   Web of Science ®Google Scholar
• Del Rio BG, Gonzalez LE, Gonzalez DJ. Ab initio study of several static and dynamic properties of bulk liquid Ni near melting. J Chem Phys. 2017 Jan;146:034501.
   PubMed Web of Science ®Google Scholar
• Guarini E, De Francesco A, Bafile U, et al. Neutron Brillouin scattering and ab initio simulation study of the collective dynamics of liquid silver. Phys Rev B. 2020 Aug;102:054210.
   PubMed Web of Science ®Google Scholar
• Hosokawa S, Inui M, Matsuda K, et al. Damping of the collective modes in liquid Fe. Phys Rev B. 2008 May;77:174203.
   Web of Science ®Google Scholar
• Bafile U, Guarini E, Barocchi F. Collective acoustic modes as renormalized damped oscillators: unifled description of neutron and x-ray scattering data from classical fluids. Phys Rev E. 2006 Jun;73:061203.
   Web of Science ®Google Scholar
• Bryk T. Non-hydrodynamic collective modes in liquid metals and alloys. Eur Phys J Special Topics. 2011 May;196:65–83.
   Web of Science ®Google Scholar
• D’Angelo G, Conti Nibali V, Wanderlingh U, et al. Multiple interacting collective modes and phonon gap in phospholipid membranes. J Phys Chem Lett. 2018 Jul;9:4367–4372.
   PubMed Web of Science ®Google Scholar
• Zanatta M, Fontana A, Orecchini A, et al. Inelastic neutron scattering investigation in glassy SiSe2: complex dynamics at the atomic scale. J Phys Chem Lett. 2013 Mar;4:1143–1147.
   PubMed Web of Science ®Google Scholar
• Inui M, Koura A, Kajihara Y, et al. Peculiar atomic dynamics in liquid GeTe with asymmetrical bonding: observation by inelastic x-ray scattering. Phys Rev B. 2018 May;97:174203.
   Web of Science ®Google Scholar
• Verkerk P. Dynamics in liquids. J Phys Condens Matter. 2001 Aug;13:7775–7799.
   Web of Science ®Google Scholar
• Ruocco G, Sette F, Bergmann U, et al. Equivalence of the sound velocity in water and ice at mesoscopic wavelengths. Nature. 1996 Feb;379:521–523.
   Web of Science ®Google Scholar
• Burns CA, Platzman PM, Sinn H, et al. Evidence for an instability near twice the fermi wave vector in the low electronic density liquid metal Li (NH3)4. Phys Rev Lett. 2001 Mar;86:2357–2360.
   PubMed Web of Science ®Google Scholar
• Maradudin AA, Ambegaokar V. Calculation of the scattering function S (k, ω)for the inelastic scattering of neutrons by anharmonic crystals. Phys Rev. 1964 Aug;135:A1071–A1080.
   Google Scholar
• Pathak KN. Theory of Anharmonic Crystals. Phys Rev. 1965 Aug;139:A1569–A1580.
   Google Scholar
• Blairs S. Correlation between surface tension, density, and sound velocity of liquid metals. J Colloid and Interface Science. 2006 Oct;302:312–314.
   PubMed Web of Science ®Google Scholar
• Khrapak SA. Practical dispersion relations for strongly coupled plasma fluids. AIP Adv. 2017 Dec;7:125026.
   Web of Science ®Google Scholar
• Kryuchkov NP, Brazhkin VV, Yurchenko SO. Anticrossing of longitudinal and transverse modes in simple fluids. J Phys Chem Lett. 2019 Jul;10:4470–4475.
   PubMed Web of Science ®Google Scholar
• Khrapak SA, Khrapak AG, Kryuchkov NP, et al. Onset of transverse (shear) waves in strongly-coupled Yukawa fluids. J Chem Phys. 2019 Mar;150:104503.
   PubMed Web of Science ®Google Scholar
• Bryk T, Gorelli FA, Mryglod I, et al. Behavior of Supercritical Fluids across the “Frenkel Line”. J Phys Chem Lett. 2017 Sep;8:4995–5001.
   PubMed Web of Science ®Google Scholar
• Brazhkin VV, Prescher C, Fomin YD, et al. Comment on “Behavior of supercritical fluids across the ‘Frenkel Line. J Phys Chem B. 2018 May;122:6124–6128.
   PubMed Web of Science ®Google Scholar
• Bryk T, Gorelli FA, Mryglod I, et al. Reply to “Comment on ‘behavior of supercritical fluids across the Frenkel Line. J Phys Chem B. 2018 May;122:6120–6123. Reply to. .
   PubMed Web of Science ®Google Scholar
• Mokshin AV, Khusnutdinov RM, Akhmerova AR, et al. Universality of microscopic structural and dynamic features in liquid alkali metals near the melting point. JETP Lett. 2017 Sep;106:366–370.
   Web of Science ®Google Scholar
• Giordano VM, Monaco G. Universal acoustic dispersion in liquid alkali metals. Phys Rev B. 2009 Jan;79:020201(R).
   Web of Science ®Google Scholar
• Shaw GH, Caldwell DA. Sound-wave velocities in liquid alkali metals studied at temperatures up to 150°C and pressures up to 0.7 GPa. Phys Rev B. 1985 Dec;32:7937–7947.
   Web of Science ®Google Scholar
• Scopigno T, Balucani U, Ruocco G, et al. Evidence of two viscous relaxation processes in the collective dynamics of liquid lithium. Phys Rev Lett. 2000 Nov;85:4076–4079.
   PubMed Web of Science ®Google Scholar
• Scopigno T, Balucani U, Ruocco G, et al. Inelastic x-ray scattering study of the collective dynamics in liquid sodium. Phys Rev E. 2002 Mar;65:031205.
   Web of Science ®Google Scholar
• Monaco A, Scopigno T, Benassi P, et al. Collective dynamics in molten potassium: an inelastic x-ray scattering study. J Chem Phys. 2004 Apr;120:8089–8094.
   PubMed Web of Science ®Google Scholar
• Bodensteiner T, Morkel C, Glaser W, et al. Collective dynamics in liquid cesium near the melting point. Phys Rev A. 1992 Apr;45:5709–5720.
   PubMed Web of Science ®Google Scholar
• Pilgrim W-C, Hosokawa S, Saggau H, et al. Temperature dependence of collective modes in liquid sodium. J Non-Crystalline Solids. 1999 Aug;250-252:96–101.
   Web of Science ®Google Scholar
• Demmel F, Pasqualini D, Morkel C. Inelastic collective dynamics of liquid rubidium with increasing temperature by neutron scattering studies. Phys Rev B. 2006 Nov;74:184207.
   Web of Science ®Google Scholar
• Kittel C. Quantum Theory of Solids. New York (NY): John Wiley & Sons, Inc; 1987.
   Google Scholar
• Baus M, Hansen J-P. Statistical mechanics of simple coulomb systems. Phys Rep. 1980 Mar;59:1–94.
   Google Scholar
• Bohm D, Staver T. Application of collective treatment of electron and ion vibrations to theories of conductivity and superconductivity. Phys Rev. 1951 Nov;84:836–837.
   Google Scholar
• Giustino F. Electron-phonon interactions from first principles. Rev Modern Phys. 2017 Feb; 89: 015003. Erratum Rev. Mod. Phys. 2019 Jan; 91: 019901.
   Google Scholar
• Baroni S, de Gironcoli S, Dal Corso A, et al. Phonons and related crystal properties from density-functional perturbation theory. Rev Modern Phys. 2001 Jul;73:515–562.
   Google Scholar
• Fasolato C, Sacchetti F, Postorino P, et al. Ultrafast plasmon dynamics in crystalline LiF triggered by intense extreme UV pulses. Phys Rev Lett. 2020 May;124:184801.
   PubMed Web of Science ®Google Scholar
• Zubarev DN. Double-Time green functions in statistical physics. Sov Phys Usp. 1960 Nov-Dec;3:320–345.
   Google Scholar
• Paciaroni A, Comez L, Longo M, et al. Terahertz collective dynamics of DNA as affected by hydration and counterions. J Mol Liq. 2020 Nov;318:113956.
   Web of Science ®Google Scholar
• Blairs S. Correlation between surface tension, density, and sound velocity of liquid metals. J Colloid Interface Sci. 2006 Oct;302:312–314.
   PubMed Web of Science ®Google Scholar
• Zhang Y, Evans JRG, Yang S. Corrected values for boiling points and enthalpies of vaporization of elements in handbooks. J Chem Eng Data. 2011 Jan;56:328–337.
   Web of Science ®Google Scholar
• Haynes WM editor, CRC Handbook of Chemistry and Physics (92nd ed.) Hoboken (NJ): CRC Press 4121–4123 (2011), ISBN 143955110.
   Google Scholar
• Bove LE, Sacchetti F, Petrillo C, et al. Neutron Investigation of the ion dynamics in liquid mercury: evidence for collective excitations. Phys Rev Lett. 2001 Nov;87:215504.
   PubMed Web of Science ®Google Scholar
• Hosokawa S, Sinn H, Hensel F, et al. Short-wavelength collective excitations in liquid mercury investigated by inelastic X-ray scattering. Appl Phys A. 2002;74:S1648–S1650. [ [Suppl.]].
   Web of Science ®Google Scholar
• Bove LE, Sacchetti F, Petrillo C, et al. Dynamic structure factor of liquid mercury. J Non-Crystalline Solids. 2002 Sep;307-310:842–847.
   Web of Science ®Google Scholar
• Bove LE, Sacchetti F, Petrillo C, et al. Self-dynamics and collective dynamics of liquid mercury. Philos Mag B. 2002;82:365–374.
   Web of Science ®Google Scholar
• Badyal YS, Bafile U, Miyazaki K, et al. Cage diffusion in liquid mercury. Phys Rev E. 2003 Dec;68:061208.
   Web of Science ®Google Scholar
• Calderín L, González LE, González DJ. Ab initio molecular dynamics study of the static, dynamic, and electronic properties of liquid mercury at room temperature. J Chem Phys. 2009 May;130:194502.
   PubMed Web of Science ®Google Scholar
• Patty M, Schoen K, Montfrooij W. Fluctuating magnetic moments in liquid metals. Phys Rev E. 2006 Feb;73:021202.
   Web of Science ®Google Scholar
• Meyer RE. Self-diffusion of liquid mercury. J Phys Chem. 1961 Mar;65:567–568.
   Web of Science ®Google Scholar
• Nachtrieb NH, Petit J. Self-Diffusion in Liquid Mercury. J Chem Phys. 1956;24:746–750.
   Web of Science ®Google Scholar
• Kamitakahara WA, Smith HG. Lattice-dynamics and electron-phonon interaction in solid mercury. Bull Am Phys Soc. 1975; 20: 299–1299. (Meeting Abstract).
   Google Scholar
• Ishikawa D, Inui M, Matsuda K, et al. Fast sound in expanded fluid Hg accompanying the metal-nonmetal transition. Phys Rev Lett. 2004 Aug;93:097801.
   PubMed Web of Science ®Google Scholar
• Inui M, Ishikawa D, Matsuda K, et al. Observation of fast sound in metal–nonmetal transition in liquid Hg. J Phys Chem Solids. 2005 Dec;66:2223–2229.
   Web of Science ®Google Scholar
• Young DA. Phase diagrams of the elements. Berkeley, Los Angeles, Oxford: University of California Press; 1991. (ISBN 0–520-07483–1).
   Google Scholar
• Bermejo FJ, García-Hernández M, Martinez JL, et al. Microscopic Dynamics of Liquid Gallium. Phys Rev E. 1994 Apr;49:3133–3142.
   Web of Science ®Google Scholar
• Bermejo FJ, Fernández-Perea R, Alvarez M, et al. Collective, short-wavelength excitations in liquid gallium. Phys Rev E. 1997 Sep;56:3358–3369.
   Web of Science ®Google Scholar
• Bove LE, Formisano F, Sacchetti F, et al. Vibrational dynamics of liquid gallium at 320 and 970K. Phys Rev B. 2005 Jan;71:014207.
   Web of Science ®Google Scholar
• Scopigno T, Filipponi A, Krisch M, et al. High-Frequency acoustic modes in liquid gallium at the melting point. Phys Rev Lett. 2002 Dec;89:255506.
   PubMed Web of Science ®Google Scholar
• Hosokawa S, Pilgrim W-C, Sinn H, et al. Microscopic dynamics in trivalent liquid Ga. Physica B. 2004 Jul;350:262–264.
   Web of Science ®Google Scholar
• Inui M, Takeda S, Uechi TJ. Ultrasonic velocity and density measurement of liquid Bi–Ga alloys with miscibility gap region. J Phys Soc Jpn. 1992;61:3203–3208.
   Google Scholar
• Khusnutdinoff RM, Cockrell C, Dicks OA, et al. Collective modes and gapped momentum states in liquid Ga: experiment, theory, and simulation. Phys Rev B. 2020 Jun;101:214312.
   PubMed Web of Science ®Google Scholar
• Demmel F. Slow structural relaxation process facilitates solidification in liquid gallium. Phys Rev B. 2020; Jan;101:014207.
   Web of Science ®Google Scholar
• Yagodin DA, Filippov VV, Popel PS, et al. Density and ultrasound velocity in Ga-Bi melts. 13th International Conference on Liquid and Amorphous Metals. J Phys. 2008;98:062019.
   Google Scholar
• Buttersack T, Mason PE, McMullen RS, et al. Photoelectron spectra of alkali metal–ammonia microjets: from blue electrolyte to bronze metal. Science. 2020 Jun;368:1086–1091.
   PubMed Web of Science ®Google Scholar
• Cohen MH, Thompson JC. The electronic and ionic structures of metal-ammonia solutions. Adv Phys. 1968;17:857–907.
   Web of Science ®Google Scholar
• Thompson JC. Metal-nonmetal transition in metal-ammonia solutions. Rev Mod Phys. 1968 Oct;40:704–710.
   Web of Science ®Google Scholar
• Heinzinger K. Computer simulations of metal-liquid ammonia solutions. J Mol Liq. 2000 Oct;88:77–85.
   Web of Science ®Google Scholar
• Howard CA, Thompson H, Wasse JC, et al. Formation of giant solvation shells around fulleride anions in liquid Ammonia. J Am Chem Soc. 2004 Sep;126:13228–13229.
   PubMed Web of Science ®Google Scholar
• Wasse JC, Hayama S, Skipper NT, et al. Structure of a metallic solution of lithium in ammonia. Phys Rev B. 2000 May;61:11993–11997.
   Web of Science ®Google Scholar
• Zurek E, Edwards PP, Hoffmann R. A molecular perspective on lithium-ammonia solutions. Angew Chem Int Ed. 2009 Oct;48:8198–8232.
   PubMed Web of Science ®Google Scholar
• Chuev GN, Quémerais P, Crain J. Nature of the metal–nonmetal transition in metal–ammonia solutions I. Solvated Electrons at Low Metal Concentrations. J. Chem. Phys. 2007 Dec;127:244501–244517.
   PubMed Web of Science ®Google Scholar
• Chuev GN, Quémerais P. Nature of metal–nonmetal transition in metal–ammonia solutions II. From uniform metallic state to inhomogeneous electronic microstructure. J. Chem. Phys. 2008 Apr;128:144503–144512.
   PubMed Web of Science ®Google Scholar
• Chaban VV, Prezhdo OV. Electron solvation in liquid ammonia: lithium, sodium, magnesium, and calcium as electron sources. J Phys Chem B. 2016 Feb;120:2500–2506.
   PubMed Web of Science ®Google Scholar
• Chieux P, Sienko MJ, DeBaecker F. Neutron diffraction study and phase diagram investigation of the solid lithium-ammonia compound. J Phys Chem. 1975 Dec;79:2996–3000.
   Web of Science ®Google Scholar
• Hayama S, Skipper NT, Wasse JC, et al. X-ray diffraction studies of solutions of lithium in ammonia: the structure of the metal–nonmetal transition. J Chem Phys. 2002 Feb;116:2991–2996.
   Web of Science ®Google Scholar
• Thompson H, Wasse JC, Skipper NT, et al. Structural studies of ammonia and metallic lithium−ammonia solutions. J Am Chem Soc. 2003 Feb;125:2572–2581.
   PubMed Web of Science ®Google Scholar
• Wasse JC, Hayama S, Masmanidis S, et al. The structure of lithium–ammonia and sodium–ammonia solutions by neutron diffraction. J Chem Phys. 2003 Apr;118:7486–7494.
   Web of Science ®Google Scholar
• Burns C, Giura P, Said A, et al. Electronic Interactions in the expanded metal compound Li−NH3. Phys Rev Lett. 2002 Nov;89:236404.
   PubMed Web of Science ®Google Scholar
• Said AH, Burns CA, Alp EE, et al. Collective excitations in metal-ammonia systems as a function of electron density. Phys Rev B. 2003 Sep;68:104302.
   Web of Science ®Google Scholar
• Giura P, Angelini R, Burns CA, et al. Electron correlation effects on the dielectric function of liquid metals. arXiv:cond-mat/. 2003 Oct;0310336:22.
   Google Scholar
• Sacchetti F, Guarini E, Petrillo C, et al. Giant electron-driven anomaly in the ion dynamics of a saturated solution of lithium in deuterated ammonia, Phys. Phys Rev B. 2003 Jan;67:014207.
   Web of Science ®Google Scholar
• Petrillo C, Sacchetti F, Guarini E, et al. Collective modes in a saturated lithium-ammonia solution as a probe of the response of the low-density homogeneous electron gas. Phys Rev B. 2011 Sep;84:094206.
   Web of Science ®Google Scholar
• Petrillo C, Sacchetti F, Guarini E, et al. The unpublished data are from an experiment performed at IN8 spectrometer, ILL, and are discussed in a forthcoming publication.
   Google Scholar
• Bowen DE, Thompson JC, Millett WE. Velocity of ultrasound in lithium-ammonia solutions. Phys Rev. 1968 Apr;168:114–120.
   Web of Science ®Google Scholar
• Zhang X, Ai J, Ma Z, et al. Liquid metal based stretchable magnetoelectric films and their capacity for mechanoelectrical conversion. Adv Func Mater. 2020;30:2003680.
   Web of Science ®Google Scholar
• Yu Z, Chen Y, Yun FF, et al. Discovery of a voltage-stimulated heartbeat effect in droplets of liquid gallium. Phys Rev Lett. 2018 Jul;121:024302.
   Web of Science ®Google Scholar
• Sun X, Cui B, Yuan B, et al. Liquid metal microparticles phase change medicated mechanical destruction for enhanced tumor Cryoablation and dual-mode imaging. Adv Func Mater. 2020;30:2003359.
   Web of Science ®Google Scholar
• Wallace DC. Liquid dynamics theory of high-temperature specific heat. Phys Rev E. 1998 Feb;57:1717–1722.
   Web of Science ®Google Scholar
• Russell RA, Garvey CJ, Darwish TA, et al. Chapter five - biopolymer deuteration for neutron scattering and other isotope-sensitive techniques.In Methods in Enzymology. 2015; Vol. 565: 97–121. https://www.ill.eu/users/support-labs-infrastructure/deuteration-laboratory
   Google Scholar
• Paciaroni A, Orecchini A, Haertlein M, et al. Vibrational collective dynamics of dry proteins in the terahertz region. J Phys Chem B. 2012 Feb;116:3861–3865.
   PubMed Web of Science ®Google Scholar