Abstract
This paper reviews nonresonant, meV-resolution inelastic x-ray scattering (IXS), as applied to the measurement of atomic dynamics of crystalline materials. It, in conjunction with a companion paper on scattering theory and calculations (Part II, also in this handbook), is designed to be an introductory, though in-depth, look at the field for those who may be interested in performing IXS experiments, or in understanding the operation of IXS spectrometers, or those desiring a practical introduction to harmonic phonons in crystals at finite momentum transfers. The treatment of most topics begins from ground level, with an emphasis on practical issues, as they have occurred to the author in two decades introducing meV-resolved IXS in Japan, including designing and building two IXS beamlines, spectrometers, and associated instrumentation, performing experiments, and helping and teaching other scientists. After a short introduction to the broader field of IXS, this paper, Part I, discusses the relative merits of IXS as compared to other methods of investigating atomic dynamics, especially inelastic neutron scattering (INS). A very brief overview of spectrometer operation and the types of spectra observed is also given. The paper then focuses on the main issues relevant for spectrometer design, including an introduction to relevant formulas from dynamical diffraction and an in-depth discussion of the how various design issues have been addressed in the different types of operating spectrometers, including spectrometers using spherically figured analyzers and the relatively new “post-sample collimation” (PSC) systems. Finally, there is a discussion of the types of experiments that have been carried out mentioning of the many of crystalline the samples that have been investigated and detailed discussion of measurements of superconductors and magnetoelastic coupling in iron-pnictide materials.
Preface to the 2018 Revision
This paper is a revised version of a review prepared in 2014 and disseminated in 2015 and 2016 (Baron 2016). The present version updates the references and revises some sections and generally tries to make the paper more readable and precise. Probably the largest changes are in the discussion of spectrometers, with now a more detailed comparison of spherical analyzers (SA) and post-sample collimation (PSC) optics (section “Comparison of 9.1 keV PSC and Spherical Analyzers”) and the discussion of magnetoelastic coupling, especially in the context of iron-pnictide superconductors (section “Iron-Pnictide Superconductors”).
Similar content being viewed by others
Notes
- 1.
A comprehensive treatment of many aspects of IXS, but not the meV-resolved work discussed here, can be found in Schülke (2007).
- 2.
The magnitude of the momentum transfer is determined by the scattering angle, and the incident x-ray wavelength, and there is no coupling between energy transfer and momentum transfer so, different than a neutron triple axis spectrometer, scans at fixed Q are done without moving the sample or the two-theta arm.
- 3.
Momentum transfer and energy transfer are completely decoupled with x-rays so, for IXS, scanning energy transfer at constant momentum transfer requires no motion of the sample or analyzers.
- 4.
Scanning Q at a fixed energy transfer is possible, as are more sophisticated correlated scans, but can be dangerous, except in well-defined simple cases. This danger is because (1) IXS energy resolution is typically Lorentzian, with long tails, so that the intensity at a fixed energy can respond to changes in intensity of spectral features that are far away – thus it can be necessary to know the entire energy spectrum at a particular momentum transfer to properly interpret the intensity at one energy, and (2) dynamical spectra are generally complex, with many modes for materials with larger unit cells, so even in the absence of long tails, it can be important to know the local shape of the spectrum to evaluate intensity changes at a particular energy.
- 5.
Note that this reference takes k=1/λ, dropping the factor of 2π that is commonly used today.
- 6.
Sometimes the reflectivity is defined in terms of intensity per unit area, and this will lead to an additional factor of |b| in Eq. (3).
- 7.
Carefully speaking, exact backscattering is usually a multi-beam situation, with more than one Bragg reflection excited. The second equation in (4) should then be interpreted as an easy way to estimate the rocking curve shape, bandwidth, and peak reflectivity near to backscattering when multi-beam excitations have been avoided.
- 8.
For a symmetric reflection, b=−1, for any plane wave, the angle of incidence will be the same as the angle of reflection, with the Bragg reflection only reducing the intensity.
- 9.
Note that sometimes the extinction length is just taken as the value at η = 0 which will lead to replacing the factor of 2 by π in Eq. (9).
- 10.
Beam from an undulator usually has a complex frequency spectrum with several peaks and is called “pink” to distinguish it from the broader “white” beam (without narrow peaks) that is provided by wigglers or bending magnets.
- 11.
Reducing temperature increases both reflectivity and the bandwidth. However, there can be a net gain in reflectivity/bandwidth.
- 12.
This thickness is needed to preserve good resolution. See Said et al. (2011).
- 13.
For thinner (<∼0.5 mm thick) analyzers, one can do the “dicing” using reactive ion etching, but this is not possible for thicker where severe aspect ratios ( 50:1) are needed to keep the grove width small (Finkelstein 2005).
- 14.
The same restriction exists also for INS, but, often, exemplary plots of the Q-E plane are shown for low-dimensional samples – so the limit is not always obvious. Meanwhile, the new chopper spectrometers can also rotate the sample and do post-selection to choose only those events in a high-symmetry plane.
- 15.
The NSLS-II PSC setup has achieved 1.3 meV resolution(FWHM) but in fact is now aiming at 2 meV resolution to help improve rates (Private communications from Y.Q. Cai)
- 16.
Here we will use “BCS” to refer to the original discussion (Bardeen et al. 1957) where phonons were introduced in a weak-coupling limit without an explicit relation between the coupling and the detailed phonon spectra, while Eliashberg theory (Eliashberg 1960) allowed a direct relation based on application of Migdal’s approximation (Migdal 1958) ignoring vertex corrections – effectively assuming interesting electronic states have energies are much larger than phonon energies.
- 17.
We use tetragonal notation where the [100] direction in real space is along the Cu-O bond and the [001] direction is normal to the Cu-O plane. For the moment, and as is often done, we neglect differences between (100) and (010) though, for most materials, these are not completely equivalent.
Abbreviations
- CDW:
-
Charge density wave
- DAC:
-
Diamond anvil cell
- DHO:
-
Damped harmonic oscillator
- HRM:
-
High-resolution monochromator
- IFC:
-
Interatomic force constant matrix
- INS:
-
Inelastic neutron scattering
- IUVS:
-
Inelastic ultraviolet spectroscopy
- IXS:
-
Inelastic x-ray scattering (in the present paper: specifically meV-resolved nonresonant investigations)
- NIS:
-
Nuclear inelastic scattering (also, sometimes, NRVS, or, occasionally, NRIXS, is used instead)
- NRIXS:
-
Nonresonant inelastic x-ray scattering (generally with resolution on the 0.01–0.1 eV scale for electronic interactions)
- NRS:
-
Nuclear resonant scattering
- NRVS:
-
Nuclear resonant vibration spectroscopy (NIS is used in the present paper)
- PSC:
-
Post sample collimation
- RIXS:
-
Resonant inelastic x-ray scattering
- SA:
-
Spherical analyzer
- SIXS:
-
Soft (x-ray) inelastic x-ray scattering
- TDS:
-
Thermal diffuse scattering
- XAFS:
-
X-ray absorption fine structure
- XPCS:
-
X-ray photon correlation spectroscopy
References
D.L. Abernathy, M.B. Stone, M.J. Loguillo, M.S. Lucas, O. Delaire, X. Tang, J.Y.Y. Lin, B. Fultz, Design and operation of the wide angular-range chopper spectrometer ARCS at the Spallation Neutron Source. Rev. Sci. Instrum. 83, 15114 (2012)
R. Akashi, M. Kawamura, S. Tsuneyuki, Y. Nomura, R. Arita, First-principles study of the pressure and crystal-structure dependences of the superconducting transition temperature in compressed sulfur hydrides. Phys. Rev. B. 91, 224513 (2015). https://doi.org/10.1103/PhysRevB.91.224513
A. Alatas, A. Said, H. Sinn, G. Bortel, M. Hu, J. Zhao, C. Burns, E. Burkel, E. Alp, Atomic form-factor measurements in the low-momentum transfer region for Li, Be, and Al by inelastic x-ray scattering. Phys. Rev. B. 77, 64301 (2008). https://doi.org/10.1103/PhysRevB.77.064301
A. Alatas, B.M. Leu, J. Zhao, H. Yavaş, T.S. Toellner, E.E. Alp, Improved focusing capability for inelastic X-ray spectrometer at 3-ID of the APS: a combination of toroidal and Kirkpatrick-Baez (KB) mirrors. Nuc. Inst. Meth. A 649, 166–168 (2011). https://doi.org/10.1016/j.nima.2010.11.068. http://www.sciencedirect.com/science/article/pii/S0168900210025593
P.B. Allen, Neutron spectroscopy of superconducors. Phys. Rev. B. 6, 2577 (1972)
P.B. Allen, Phonons and the superconducting transition temperature, in Dynamical Properties of Solids, ed. by G. K. Horton, A. A. Maradudin, (North Holland, Amsterdam, 1980), pp. 96–196
P.B. Allen, M.L. Cohen, Supercondcutivity and phonon softening. Phys. Rev. Lett. 29, 1593 (1972)
P.B. Allen, R.C. Dynes, Superconductivity and phonon softening: II. Lead alloys. Phys. Rev. B. 11, 1895 (1975a)
P.B. Allen, R.C. Dynes, Transition temperature of strong-coupled superconductors reanalyzed. Phys. Rev. B. 12, 905 (1975b)
P.B. Allen, B. Mitrovic, Theory of superconducting Tc. Solid State Phys. 37, 1–92 (1982)
P.B. Allen, R. Silberglitt, Some effects of phonon dynamics on electron lifetime, mass renormalization, and sueprconducting transition temperature. Phys. Rev. B. 9, 4733 (1974)
P.B. Allen, V.N. Kostur, N. Takesue, G. Shirane, Neutron-scattering profile of Q>0 phonons in BCS superconductors. Phys. Rev. B. 56, 5552–5558 (1997). https://doi.org/10.1103/PhysRevB.56.5552
L.J.P. Ament, J. van den Brink, Determining the electron-phonon coupling strength from resonant inelastic X-ray scattering at transition metal L-edges. Europhys. Lett. 95, 27008 (2011). http://stacks.iop.org/0295-5075/95/i=2/a=27008
L.J.P. Ament, M. van Veenendaal, T.P. Devereaux, J.P. Hill, J. van den Brink, Resonant inelastic x-ray scattering studies of elementary excitations. Rev. Mod. Phys. 83, 705–767 (2011). https://doi.org/10.1103/RevModPhys.83.705
D. Antonangeli, M. Krisch, G. Fiquet, D.L. Farber, C.M. Aracne, J. Badro, F. Occelli, H. Requardt, Elasticity of cobalt at high pressure studied by inelastic X-ray scattering. Phys. Rev. Lett. 93, 215504–215505 (2004a). https://doi.org/10.1103/PhysRevLett.93.215505
D. Antonangeli, F. Occelli, H. Requardt, J. Badro, G. Fiquet, M. Krisch, Elastic anisotropy in textured hcp-iron to 112 GPa from sound wave propagation measurements. Earth Planet. Sci. Lett. 225, 243–251 (2004b). https://doi.org/10.1016/j.epsl.2004.06.004
D. Antonangeli, M. Krisch, G. Fiquet, J. Badro, D.L. Farber, A. Bossak, S. Merkel, Aggregate and single-crystalline elasticity of hcp cobalt at high pressure. Phys. Rev. B. 72, 134303–134307 (2005). https://doi.org/10.1103/PhysRevB.72.134303
D. Antonangeli, M. Krisch, D.L. Farber, D.G. Ruddle, G. Fiquet, Elasticity of hexagonal-closed-packed cobalt at high pressure and temperature: a quasiharmonic case. Phys. Rev. Lett. 100, 85501 (2008). https://doi.org/10.1103/PhysRevLett.100.085501
D. Antonangeli, D.L. Farber, A.H. Said, L.R. Benedetti, C.M. Aracne, A. Landa, P. Söderlind, J.E. Klepeis, Shear softening in tantalum at megabar pressures. Phys. Rev. B. 82, 132101 (2010). https://doi.org/10.1103/PhysRevB.82.132101
D. Antonangeli, J. Siebert, C.M. Aracne, D.L. Farber, A. Bosak, M. Hoesch, M. Krisch, F.J. Ryerson, G. Fiquet, J. Badro, Spin crossover in Ferropericlase at high pressure: a seismologically transparent transition? Science 331, 64–67 (2011). http://www.sciencemag.org/content/331/6013/64.abstract
A. Authier, Dynamical Theory of X-Ray Diffraction (Oxford University Press, Oxford, 2003).http://www.oxfordscholarship.com/view/10.1093/acprof:oso/9780198528920.001.0001/acprof-9780198528920
J.D. Axe, G. Shirane, Inelastic neutron scatterin study of acoustic phonons in Nb3Sn. Phys. Rev. B. 8, 1965 (1973)
P. Aynajian, T. Keller, L. Boeri, S.M. Shapiro, K. Habicht, B. Keimer, Energy gaps and Kohn anomalies in elemental superconductors. Science 319(80), 1509–1512 (2008). http://www.sciencemag.org/content/319/5869/1509
J. Badro, G. Fiquet, F. Guyot, E. Gregoryanz, F. Occelli, D. Antonangeli, M. D’Astuto, Effect of light elements on the sound velocities in solid iron: implications for the composition of Earth’s core. Earth Planet. Sci. Lett. 254, 233–238 (2007). https://doi.org/10.1016/j.epsl.2006.11.025
D. Bansal, J.L. Niedziela, A.F. May, A. Said, G. Ehlers, D.L. Abernathy, A. Huq, M. Kirkham, H. Zhou, O. Delaire, Lattice dynamics and thermal transport in multiferroic CuCrO_{2}. Phys. Rev. B. 95, 54306 (2017). https://doi.org/10.1103/PhysRevB.95.054306
J. Bardeen, L.N. Cooper, J.R. Schrieffer, Theory of superconductivity. Phys. Rev. 108, 1175 (1957). http://link.aps.org/abstract/PR/v108/p1175
A.Q.R. Baron, (Phonons in crystals using inelastic X-ray scattering). (J. Spectrosc. Soc. Jpn – Japanese, ArXiv 0910.5764 English) 54, 205–214 (2009)
A.Q.R. Baron, The RIKEN quantum nanodynamics beamline (BL43LXU): the next generation for inelastic X-ray scattering. SPring-8 Inf. Newsl. 15, 14–19 (2010). http://user.spring8.or.jp/sp8info/?p=3138
A.Q.R. Baron, Toward sub-meV, momentum-resolved, inelastic X-ray scattering using a nuclear analyzer. J. Phys. Soc. Jpn. 82, SA029 (2013). http://journals.jps.jp/doi/abs/10.7566/JPSJS.82SA.SA029
A.Q.R. Baron, High-resolution inelastic X-ray scattering I & II, in Synchrotron Light Sources and Free-Electron Lasers: Accelerator Physics, Instrumentation and Science, ed. by E. Jaeschke, S. Khan, J. R. Schneider, J. B. Hastings, (Springer International Publishing, Cham, 2016), pp. 1643–1757. See also arXiv 1504.01098. https://arxiv.org/abs/1504.01098
A.Q.R. Baron, Y. Tanaka, D. Ishikawa, D. Miwa, M. Yabashi, T. Ishikawa, A compact optical design for Bragg reflections near backscattering. J. Synch. Rad. 8, 1127–1130 (2001a). https://doi.org/10.1107/S0909049501010901
A.Q.R. Baron, Y. Tanaka, D. Miwa, D. Ishikawa, T. Mochizuki, K. Takeshita, S. Goto, T. Matsushita, T. Ishikawa, Early commissioning of the SPring-8 Beamline for high resolution inelastic X-ray scattering. Nucl. Inst. Methods Phys. Res. A. 467–8, 627–630 (2001b). https://doi.org/10.1016/S0168-9002(01)00431-4
A.Q.R. Baron, Y. Tanaka, S. Tsutsui, Performance of BL35XU for high resolution inelastic X-ray scattering. SPring-8 Front 2002, 104 (2002).http://www.spring8.or.jp/en/news_publications/publications/research_frontiers/html/RF01B-02A.html
A.Q.R. Baron, H. Uchiyama, Y. Tanaka, S. Tsutsui, D. Ishikawa, S. Lee, R. Heid, K.P. Bohnen, S. Tajima, T. Ishikawa, Kohn anomaly in MgB2 by inelastic X-ray scattering. Phys. Rev. Lett. 92, 197004 (2004). http://link.aps.org/abstract/PRL/v92/e197004
A.Q.R. Baron, H. Uchiyama, R. Heid, K.P. Bohnen, Y. Tanaka, S. Tsutsui, D. Ishikawa, S. Lee, S. Tajima, Two-phonon contributions to the inelastic x-ray scattering spectra of MgB_2. Phys. Rev. B. 75, 20504–20505 (2007a). https://doi.org/10.1103/PhysRevB.75.020505
A.Q.R. Baron, H. Uchiyama, S. Tsutsui, Y. Tanaka, D. Ishikawa, J.P. Sutter, S. Lee, S. Tajima, R. Heid, K.-P. Bohnen, Phonon spectra in pure and carbon doped MgB2 by inelastic X-ray scattering. Phys. C Supercond. Its Appl. 456, 83–91 (2007b). https://doi.org/10.1016/j.physc.2007.01.028
A.Q.R. Baron, J.P. Sutter, S. Tsutsui, H. Uchiyama, T. Masui, S. Tajima, R. Heid, K.-P. Bohnen, First study of the B1g buckling phonon mode in optimally doped, De-twinned, YBa2Cu3O7-δ by inelastic X-ray scattering. J. Phys. Chem. Solids. 69, 3100 (2008). https://doi.org/10.1016/j.jpcs.2008.06.119
A. Q. R. Baron, D. Ishikawa, H. Fukui, Y. Nakajima, Auxiliary optics for meV-IXS at SPring-8: KB, analyzer masks, soller slit & screen, BPM Submitt. Publ. (2018)
B.W. Batterman, H. Cole, Dynamical diffraction of X-rays by perfect crystals. Rev. Mod. Phys. 36, 681–717 (1964)
J. Bauer, J. Han, O. Gunnarsson, Retardation effects and the Coulomb pseudopotential in the theory of superconductivity. Phys. Rev. B. 87, 54507 (2013). https://doi.org/10.1103/PhysRevB.87.054507
J. Baumert, C. Gutt, V.P. Shpakov, J.S. Tse, M. Krisch, M. Mueller, H. Requardt, D.D. Klug, S. Janssen, W. Press, Lattice dynamics of methane and xenon hydrate: observation of symmetry-avoided crossing by experiment and theory. Phys. Rev. B. 68, 174301–174307 (2003). https://doi.org/10.1103/PhysRevB.68.174301
J. Baumert, C. Gutt, M. Krisch, H. Requardt, M. M¸ller, J.S. Tse, D.D. Klug, W. Press, Elastic properties of methane hydrate at high pressures. Phys. Rev. B. 72, 54302–54305 (2005). https://doi.org/10.1103/PhysRevB.72.054302
G. Benedek, M. Bernasconi, V. Chis, E. Chulkov, P.M. Echenique, B. Hellsing, J.P. Toennies, Theory of surface phonons at metal surfaces: recent advances. J. Phys. Condens. Matter. 22, 84020 (2010). http://stacks.iop.org/0953-8984/22/i=8/a=084020
M. Beye, A. Föhlisch, A soft X-ray approach to electron–phonon interactions beyond the Born–Oppenheimer approximation. J. Electron Spectros. Relat. Phenom. 184, 313–317 (2011). https://doi.org/10.1016/j.elspec.2010.12.032
W. Björn, B. Alexeï, N. Sabrina, A. Daniele, M. Alessandro, C.S. Lal, M. Ranjan, O. Eiji, S. Anton, S. Surendra, et al., Dynamical and elastic properties of MgSiO3 perovskite (bridgmanite). Geophys. Res. Lett. 43, 2568–2575 (2016). https://doi.org/10.1002/2016GL067970
E. Blackburn, J. Chang, A.H. Said, B.M. Leu, R. Liang, D.A. Bonn, W.N. Hardy, E.M. Forgan, S.M. Hayden, Inelastic x-ray study of phonon broadening and charge-density wave formation in ortho-II-ordered YBa2Cu3O6.54. Phys. Rev. B. 88, 54506 (2013). https://doi.org/10.1103/PhysRevB.88.054506
L. Boeri, J. Kortus, O. Andersen, Three-dimensional MgB2 type superconductivity in hole-doped diamond. Phys. Rev. Lett. 93, 237002 (2004). https://doi.org/10.1103/PhysRevLett.93.237002
K.P. Bohnen, R. Heid, B. Renker, Phonon dispersion and electron-phonon coupling in MgB2 and AlB2. Phys. Rev. Lett. 86, 5771 (2001)
K.P. Bohnen, R. Heid, M. Krauss, Phonon dispersion and electron-phonon interaction for YBa2Cu3O7 from first-principles calculations. Europhys. Lett. 64, 104–110 (2003). https://doi.org/10.1209/epl/i2003-00143-x
D. Bolmatov, M. Zhernenkov, L. Sharpnack, D.M. Agra-Kooijman, S. Kumar, A. Suvorov, R. Pindak, Y.Q. Cai, A. Cunsolo, Emergent optical phononic modes upon nanoscale mesogenic phase transitions. Nano Lett. 17, 3870–3876 (2017). https://doi.org/10.1021/acs.nanolett.7b01324
E. Borissenko, M. Goffinet, A. Bosak, P. Rovillain, M. Cazayous, D. Colson, P. Ghosez, M. Krisch, Lattice dynamics of multiferroic BiFeO 3 studied by inelastic x-ray scattering. J. Phys. Condens. Matter. 25, 102201 (2013). http://stacks.iop.org/0953-8984/25/i=10/a=102201
A. Bosak, M. Krisch, Phonon density of states probed by inelastic X-ray scattering. Phys. Rev. B. 72, 224305–224309 (2005). https://doi.org/10.1103/PhysRevB.72.224305
A. Bosak, J. Serrano, M. Krisch, K. Watanabe, T. Taniguchi, H. Kanda, Elasticity of hexagonal boron nitride: inelastic x-ray scattering measurements. Phys. Rev. B. 73, 41402–41404 (2006). https://doi.org/10.1103/PhysRevB.73.041402
A. Bosak, M. Krisch, M. Mohr, J. Maultzsch, C. Thomsen, Elasticity of single-crystalline graphite: inelastic x-ray scattering study. Phys. Rev. B. 75, 153404–153408 (2007). https://doi.org/10.1103/PhysRevB.75.153408
A. Bosak, M. Hoesch, D. Antonangeli, D.L. Farber, I. Fischer, M. Krisch, Lattice dynamics of vanadium: inelastic x-ray scattering measurements. Phys. Rev. B. 78, 20301 (2008a). https://doi.org/10.1103/PhysRevB.78.020301
A. Bosak, K. Schmalzl, M. Krisch, W. van Beek, V. Kolobanov, Lattice dynamics of beryllium oxide: inelastic x-ray scattering and ab initio calculations. Phys. Rev. B. 77, 224303 (2008b). http://link.aps.org/doi/10.1103/PhysRevB.77.224303
A. Bosak, M. Hoesch, M. Krisch, D. Chernyshov, P. Pattison, C. Schulze-Briese, B. Winkler, V. Milman, K. Refson, D. Antonangeli, et al., 3D imaging of the Fermi surface by thermal diffuse scattering. Phys. Rev. Lett. 103, 76403 (2009). https://doi.org/10.1103/PhysRevLett.103.076403
A. Bosak, D. Chernyshov, M. Hoesch, P. Piekarz, M. Le Tacon, M. Krisch, A. Kozłowski, A.M. Oleś, K. Parlinski, Short-range correlations in magnetite above the Verwey temperature. Phys. Rev. X. 4, 11040 (2014). https://doi.org/10.1103/PhysRevX.4.011040
M. Braden, L. Pintschovius, T. Uefuji, K. Yamada, Dispersion of the high-energy phonon modes in Nd1.85Ce0.15CuO4. Phys. Rev. B. 72, 184517 (2005)
R.A. Brand, M. Krisch, M.A. Chernikov, H.R. Ott, Phonons in the icosahedral quasicrystal i-AlPdMn studied by coherent inelastic scattering of synchrotron radiation. Ferroelectrics 250, 233–236 (2001)
R.A. Brand, J. Voss, F. Hippert, M. Krisch, R. Sterzel, W. Assmus, I.R. Fisher, Phonon dispersion curve of icosahedral MgZnY quasicrystals. J. Non. Cryst. Solids 334–335 %0, 207–209 (2004). https://doi.org/10.1016/j.jnoncrysol.2003.11.040
J.M. Brown, R.G. McQueen, Phase transitions, grüneisen parameter, and elasticity for shocked iron between 77 GPa and 400 GPa. J. Geophys. Res. 91, 7485–7494 (1986)
P. Brüesch, Phonons: Theory and Experiments 1 (Springer-Verlag, Berlin, 1982)
E. Burkel, Inelastic Scattering of X-rays with Very High Energy Resolution (Springer, Berlin, 1991)
E. Burkel, Phonon spectroscopy by inelastic X-ray scattering. Rep. Prog. Phys. 63, 171–232 (2000)
E. Burkel, J. Peisl, B. Dorner, Observation of inelastic X-ray scattering from phonons. Europhys. Lett. 3, 957–961 (1987)
R.G. Burkovsky, A.K. Tagantsev, K. Vaideeswaran, N. Setter, S.B. Vakhrushev, A.V. Filimonov, A. Shaganov, D. Andronikova, A.I. Rudskoy, A.Q.R. Baron, et al., Lattice dynamics and antiferroelectricity in PbZrO3 tested by x-ray and Brillouin light scattering. Phys. Rev. B. 90, 144301 (2014). https://doi.org/10.1103/PhysRevB.90.144301
R.G. Burkovsky, D. Andronikova, Y. Bronwald, M. Krisch, K. Roleder, A. Majchrowski, A.V. Filimonov, A.I. Rudskoy, S.B. Vakhrushev, Lattice dynamics in the paraelectric phase of PbHfO 3 studied by inelastic x-ray scattering. J. Phys. Condens. Matter. 27, 335901 (2015). http://stacks.iop.org/0953-8984/27/i=33/a=335901
Y.Q. Cai, Presented at SRI2018 p (2018)
Y.Q. Cai, D.S. Coburn, A. Cunsolo, J.W. Keister, M.G. Honnick, X.R. Huang, C.N. Kodituwakku, Y. Stetsko, A. Suvorov, N. Hiraoka, et al., The ultrahigh resolution IXS beamline of NSLS-II: recent advances and scientific opportunities. J. Phys. Conf. 425, 201001 (2013)
M. Calandra, F. Mauri, Electron-phonon coupling and phonon self-energy in MgB2: interpretation of MgB2 Raman Sepctra. Phys. Rev. B. 71, 64501 (2005)
E. Cappelluti, Electron-phonon effects on the Raman spectrum in MgB2. Phys. Rev. B. 75, 140505 (2006). (R)
F. Caruso, M. Hoesch, P. Achatz, J. Serrano, M. Krisch, E. Bustarret, F. Giustino, Nonadiabatic Kohn anomaly in heavily Boron-doped diamond. Phys. Rev. Lett. 119, 17001 (2017). https://link.aps.org/doi/10.1103/PhysRevLett.119.017001
D. Chernyshov, A. Bosak, V. Dmitriev, Y. Filinchuk, H. Hagemann, Low-lying phonons in NaBH4 studied by inelastic scattering of synchrotron radiation. Phys. Rev. B. 78, 172104 (2008). https://doi.org/10.1103/PhysRevB.78.172104
A.I. Chumakov, A.Q.R. Baron, R. Ruffer, H. Grunsteudel, H.F. Grunsteudel, A. Meyer, Nuclear resonance energy analysis of inelastic x-ray scattering. Phys. Rev. Lett. 76, 4258–4261 (1996a). http://link.aps.org/abstract/PRL/v76/p4258
A.I. Chumakov, J. Metge, A.Q.R. Baron, H.F.F. Grünsteudel, H.F.F. Grünsteudel, R. Rüffer, T. Ishikawa, An X-ray monochromator with 1.65 meV energy resolution. Nucl. Inst. Methods 383, 642–644 (1996b). https://doi.org/10.1016/S0168-9002(96)00924-2
R. Colella, Multiple diffraction of X-rays and the phase problem. Computational procedures and comparison with experiment. Acta Crystallogr. A30, 413–423 (1974)
S.L. Cooper, M.V. Klein, B.G. Pazol, J.P. Rice, D.M. Ginzberg, Raman scattering from superconducting gap except in single-crystal YBa2Cu3O7-d. Phys. Rev. B. 37, 5920 (1988)
M. d’Astuto, P.K. Mang, P. Giura, A. SHukla, P. Ghigna, A. Mirone, M. Braden, M. Greven, M. Krisch, F. Sette, Anomalous longitudinal dispersion in (Nd1.86Ce0.14)4+d determined by inelastic X-ray scattering. Phys. Rev. Lett. 88, 167002 (2002)
M. d’Astuto, A. Mirone, P. Giura, D. Colson, A. Forget, M. Krisch, Phonon dispersion in the one-layer cuprate HgBa2CuO4+delta. J. Phys. Condens. Matter. 15, 8827–8836 (2003). https://doi.org/10.1088/0953-8984/15/50/014
M. d’Astuto, M. Calandra, S. Reich, A. Shukla, M. Lazzeri, F. Mauri, J. Karpinski, N.D. Zhigadlo, A. Bossak, M. Krisch, Weak anharmonic effects in MgB2: a comparative inelastic X-ray scattering and Raman study. Phys. Rev. B. 75, 174508–174510 (2007). https://doi.org/10.1103/PhysRevB.75.174508
M. d’Astuto, G. Dhalenne, J. Graf, M. Hoesch, P. Giura, M. Krisch, P. Berthet, A. Lanzara, A. Shukla, Sharp optical-phonon softening near optimal doping in La2-xBaxCuO4+delta observed via inelastic x-ray scattering. Phys. Rev. B. 78, 140511 (2008). http://link.aps.org/doi/10.1103/PhysRevB.78.140511
M. d’Astuto, M. Calandra, N. Bendiab, G. Loupias, F. Mauri, S. Zhou, J. Graf, A. Lanzara, N. Emery, C. Hérold, et al., Phonon dispersion and low-energy anomaly in CaC6 from inelastic neutron and x-ray scattering experiments. Phys. Rev. B. 81, 104519 (2010). https://doi.org/10.1103/PhysRevB.81.104519
M. D’Astuto, I. Yamada, P. Giura, L. Paulatto, A. Gauzzi, M. Hoesch, M. Krisch, M. Azuma, M. Takano, Phonon anomalies and lattice dynamics in the superconducting oxychlorides Ca2-xCuO2Cl2. Phys. Rev. B. 88, 14522 (2013). http://link.aps.org/doi/10.1103/PhysRevB.88.014522
M. d’Astuto, R. Heid, B. Renker, F. Weber, H. Schober, O. De la Peña-Seaman, J. Karpinski, N.D. Zhigadlo, A. Bossak, M. Krisch, Nonadiabatic effects in the phonon dispersion of Mg1−x Alx B2. Phys. Rev. B. 93, 180508 (2016). https://doi.org/10.1103/PhysRevB.93.180508
M. De Boissieu, S. Francoual, M. Mihalkovič, K. Shibata, A.Q.R. Baron, Y. Sidis, T. Ishimasa, D. Wu, T. Lograsso, L.-P. Regnault, et al., Lattice dynamics of the Zn-Mg-Sc icosahedral quasicrystal and its Zn-Sc periodic 1/1 approximant. Nat. Mater. 6, 977 (2007). https://doi.org/10.1038/nmat2044
M. Deutsch, M. Hart, P. Sommer-Larsen, Thermal motion of atoms in crystalline silicon: beyond the Debye theory. Phys. Rev. B. 40, 11666–11669 (1989). http://link.aps.org/doi/10.1103/PhysRevB.40.11666
T.P. Devereaux, A.M. Shvaika, K. Wu, K. Wohlfeld, C.J. Jia, Y. Wang, B. Moritz, L. Chaix, W.-S. Lee, Z.-X. Shen, et al., Directly characterizing the relative strength and momentum dependence of electron-phonon coupling using resonant inelastic x-ray scattering. Phys. Rev. X. 6, 041019 (2016). https://doi.org/10.1103/PhysRevX.6.041019
A. Doi, J. Fujioka, T. Fukuda, S. Tsutsui, D. Okuyama, Y. Taguchi, T. Arima, A.Q.R. Baron, Y. Tokura, Multi-spin-state dynamics during insulator-metal crossover in LaCoO3. Phys. Rev. B. 90, 81109 (2014). https://doi.org/10.1103/PhysRevB.90.081109
B. Dorner, Y. Fujii, J. Hastings, D. Moncton, D. Siddons, and others, Notes from 1980 Vienna summer school provided by D. Moncton (1980).
B. Dorner, E. Burkel, J. Peisl, An X-ray backscattering instrument with very high energy resolution. Nuc. Inst. Methods A426, 450 (1986)
B. Dorner, E. Burkel, T. Illini, J. Peisl, First measurement of a phonon dispersion curve by inelastic X-ray scattering. Z Phys. B: Condens. Matter. 69, 179–183 (1987). https://doi.org/10.1007/BF01307274
A.P. Drozdov, M.I. Eremets, I.A. Troyan, V. Ksenofontov, S.I. Shylin, Conventional superconductivity at 203 kelvin at high pressures in the sulfur hydride system. Nature 525, 73–76 (2015). https://doi.org/10.1038/nature14964
E.A. Ekimov, V.A. Sidorov, E.D. Bauer, N.N. Mel’nik, N.J. Curro, J.D. Thompson, S.M. Stishov, Superconductivity in diamond. Nature 428, 542–545 (2004). https://doi.org/10.1038/nature02449
G.M. Eliashberg, Interactions between electrons and lattice vibrations in a superconductor. Sov. Phys. JETP. 11, 696–702 (1960)
D.S. Ellis, H. Uchiyama, S. Tsutsui, K. Sugimoto, K. Kato, D. Ishikawa, A.Q.R. Baron, Phonon softening and dispersion in EuTiO3. Phys. Rev. B. 86, 220301 (2012). http://link.aps.org/doi/10.1103/PhysRevB.86.220301
D.S. Ellis, H. Uchiyama, S. Tsutsui, K. Sugimoto, K. Kato, A.Q.R. Baron, X-ray study of the structural distortion in EuTiO3. Phys. B Condens. Matter. 442, 34–38 (2014). http://www.sciencedirect.com/science/article/pii/S0921452614001288
H. Euchner, M. Mihalkovic, F. Gähler, M. Johnson, H. Schober, S. Rols, E. Suard, A. Bosak, S. Ohhashi, A.-P. Tsai, et al., Anomalous vibrational dynamics in the Mg2Zn11 phase. Phys. Rev. B. 83, 144202 (2011). https://doi.org/10.1103/PhysRevB.83.144202
S. Fahy, É.D. Murray, D.A. Reis, Resonant squeezing and the anharmonic decay of coherent phonons. Phys. Rev. B. 93, 134308 (2016). https://doi.org/10.1103/PhysRevB.93.134308
D.L. Farber, M. Krisch, D. Antonangeli, A. Beraud, J. Badro, F. Occelli, D. Orlikowski, Lattice dynamics of molybdenum at high pressure. Phys. Rev. Lett. 96, 115502–115504 (2006). https://doi.org/10.1103/PhysRevLett.96.115502
K. Finkelstein, Private communication about the limits of RIE (2005).
G. Fiquet, J. Badro, F. Guyot, H. Requardt, M. Krisch, Sound velocities in iron to 110 gigapascals. Science 291(80), 468–471 (2001). https://doi.org/10.1126/science.291.5503.468
I. Fischer, A. Bosak, M. Krisch, Single-crystal lattice dynamics derived from polycrystalline inelastic x-ray scattering spectra. Phys. Rev. B. 79, 134302 (2009). https://doi.org/10.1103/PhysRevB.79.134302
A. Floris, G. Profeta, N.N. Lathiotakis, M. L¸ders, M.A.L. Marques, C. Franchini, E.K.U. Gross, A. Continenza, S. Massidda, Superconducting properties of MgB2 from first principles. Phys. Rev. Lett. 94, 37004 (2005). http://link.aps.org/abstract/PRL/v94/e037004
H.F. Fong, B. Keimer, P.W. Anderson, D. Reznik, F. Dogan, J.A. Aksay, Phonon and magnetic neutron scattering at 41 meV in YBa2Cu3O7. Phys. Rev. Lett. 75, 316–320 (1995)
Y. Fujii, J. Hastings, S. Ulc, D. Moncton, SSRPP technical report VII-95 (1982).
T. Fukuda, J. Mizuki, K. Ikeuchi, K. Yamada, A.Q.R. Baron, S. Tsutsui, Doping dependence of softening in the bond-stretching phonon mode of La2−x Srx CuO4 (0 <= x <= 0.29). Phys. Rev. B 71, 60501–60504 (2005). http://link.aps.org/abstract/PRB/v71/e060501
T. Fukuda, A.Q.R. Baron, S. Shamoto, M. Ishikado, H. Nakamura, M. Machida, H. Uchiyama, S. Tsutsui, A. Iyo, H. Kito, et al., Lattice dynamics of LaFeAsO1-xFx and PrFeAsO1-y via inelastic X-ray scattering and first-principles calculation. J. Phys. Soc. Jpn. 77, 103715 (2008)
T. Fukuda, A.Q.R. Baron, H. Nakamura, S. Shamoto, M. Ishikado, M. Machida, H. Uchiyama, A. Iyo, H. Kito, J. Mizuki, et al., Soft and isotropic phonons in PrFeAsO1-y. Phys. Rev. B. 84, 64504 (2011). http://link.aps.org/doi/10.1103/PhysRevB.84.064504
H. Fukui, T. Katsura, T. Kuribayashi, T. Matsuzaki, A. Yoneda, E. Ito, Y. Kudoh, S. Tsutsui, A.Q.R. Baron, Precise determination of elastic constants by high-resolution inelastic X-ray scattering. J. Synch. Rad. 15, 618–623 (2008). https://doi.org/10.1107/S0909049508023248
H. Fukui, A. Yoneda, A. Nakatsuka, N. Tsujino, S. Kamada, E. Ohtani, A. Shatskiy, N. Hirao, S. Tsutsui, H. Uchiyama, et al., Effect of cation substitution on bridgmanite elasticity: a key to interpret seismic anomalies in the lower mantle. Sci. Rep. 6, 33337 (2016). https://doi.org/10.1038/srep33337
H. Fukui, A.Q.R. Baron, D. Ishikawa, H. Uchiyama, Y. Ohishi, T. Tsuchiya, H. Kobayashi, T. Matsuzaki, T. Yoshino, T. Katsura, Pressure dependence of transverse acoustic phonon energy in ferropericlase across the spin transition. J. Phys. Condens. Matter 29, 245401 (2017). https://doi.org/10.1088/1361-648X/aa7026
D.R. Gardner, C.J. Bonnoit, R. Chisnell, A.H. Said, B.M. Leu, T.J. Williams, G.M. Luke, Y.S. Lee, Inelastic x-ray scattering measurements of phonon dynamics in URu2Si2. Phys. Rev. B. 93, 75123 (2016). https://doi.org/10.1103/PhysRevB.93.075123
E. Gerdau, H. de Waard, Hyperfine Interactions, (2000), pp. 123–125
G. Ghiringhelli, M. Le Tacon, M. Minola, S. Blanco-Canosa, C. Mazzoli, N.B. Brookes, G.M. De Luca, A. Frano, D.G. Hawthorn, F. He, et al., Long-range incommensurate charge fluctuations in (Y,Nd)Ba2Cu3O6+x. Science 337(80), 821–825 (2012). https://doi.org/10.1126/science.1223532
S. Ghose, M. Krisch, A.R. Oganov, A. Beraud, A. Bosak, R. Gulve, R. Seelaboyina, H. Yang, S.K. Saxena, Lattice dynamics of MgO at high pressure: theory and experiment. Phys. Rev. Lett. 96, 35504–35507 (2006). https://doi.org/10.1103/PhysRevLett.96.035507
F. Giustino, M.L. Cohen, S.G. Louie, Small phonon contribution to the photoemission kink in the copper oxide superconductors. Nature 452, 975–978 (2008). https://doi.org/10.1038/nature06874
A.F. Goncharov, V.V. Struzhkin, E. Gregoryanz, J. Hu, R.J. Hemley, H. Mao, G. Lapertot, S.L. Bud’ko, P.C. Canfield, Raman spectrum and lattice parameters of MgB_{2} as a function of pressure. Phys. Rev. B. 64, 100509 (2001). http://link.aps.org/abstract/PRB/v64/e100509
W. Graeff, G. Materlik, Millielectron volt energy resolution in bragg backscattering. Nucl. Inst. Meth. 195, 97 (1982)
J. Graf, M. D’Astuto, P. Giura, A. Shukla, N.L. Saini, A. Bossak, M. Krisch, S.W. Cheong, T. Sasagawa, A. Lanzara, In-plane copper-oxygen bond-stretching mode anomaly in underdoped La2-xSrxCuO4+delta measured with high-resolution inelastic x-ray scattering. Phys. Rev. B. 76, 172504–172507 (2007). https://doi.org/10.1103/PhysRevB.76.172507
J. Graf, M. d’Astuto, C. Jozwiak, D.R. Garcia, N.L. Saini, M. Krisch, K. Ikeuchi, A.Q.R. Baron, H. Eisaki, A. Lanzara, Bond stretching phonon softening and kinks in the angle-resolved photoemission spectra of optimally doped Bi_2Sr_1.6La_0.4Cu2O_6+delta superconductors. Phys. Rev. Lett. 100, 227002–227004 (2008). http://link.aps.org/abstract/PRL/v100/e227002
H. Gretarsson, J.P. Clancy, Y. Singh, P. Gegenwart, J.P. Hill, J. Kim, M.H. Upton, A.H. Said, D. Casa, T. Gog, et al., Magnetic excitation spectrum of Na2IrO. Phys. Rev. B. 87, 220407 (2013). https://doi.org/10.1103/PhysRevB.87.220407
G. Grimvall, The Electron-Phonon Interaction in Metals (North Holland Publishing Co, Amsterdam, 1981)
A. Grüneis, J. Serrano, A. Bosak, M. Lazzeri, S.L. Molodtsov, L. Wirtz, C. Attaccalite, M. Krisch, A. Rubio, F. Mauri, et al., Phonon surface mapping of graphite: disentangling quasi-degenerate phonon dispersions. Phys. Rev. B. 80, 85423 (2009). http://link.aps.org/doi/10.1103/PhysRevB.80.085423
O. Gunnarsson, O. Rösch, Interplay between electron-phonon and Coulomb interactions in cuprates. J. Phys. Condens. Matter. 20, 43201 (2008). http://stacks.iop.org/0953-8984/20/043201
S. Hahn, G. Tucker, J.-Q. Yan, A. Said, B. Leu, R. McCallum, E. Alp, T. Lograsso, R. McQueeney, B. Harmon, Magnetism-dependent phonon anomaly in LaFeAsO observed via inelastic x-ray scattering. Phys. Rev. B. 87, 104518 (2013). https://doi.org/10.1103/PhysRevB.87.104518
R. Heid, K.-P. Bohnen, R. Zeyher, D. Manske, Momentum dependence of the electron-phonon coupling and self-energy effects in superconducting YBa2Cu3O7 within the local density approximation. Phys. Rev. Lett. 100, 137001–137004 (2008). http://link.aps.org/abstract/PRL/v100/e137001
B. Henderson, G.F. Imbusch, Optical Spectroscopy of Inorganic Solids Oxford (Oxford University Press, New York, 1989)
J. Hlinka, I. Gregova, J. Pokrny, A. Plecenik, P. Kus, L. Satrapinsky, S. Benacka, Phonons in MgB2 by polarized Raman scattering on single crystals. Phys. Rev. B. 64, 140503R (2001)
J. Hlinka, P. Ondrejkovic, M. Kempa, E. Borissenko, M. Krisch, X. Long, Z.-G. Ye, Soft antiferroelectric fluctuations in morphotropic PbZr1-xTixO3 single crystals as evidenced by inelastic x-ray scattering. Phys. Rev. B. 83, 140101 (2011). http://link.aps.org/doi/10.1103/PhysRevB.83.140101
M. Hoesch, T. Fukuda, J. Mizuki, T. Takenouchi, H. Kawarada, J.P.P. Sutter, S. Tsutsui, A.Q.R. Baron, M. Nagao, Y. Takano, et al., Phonon softening in superconducting diamond. Phys. Rev. B. 75, 140508(R) (2007). https://doi.org/10.1103/PhysRevB.75.140508
M. Hoesch, A. Bosak, D. Chernyshov, H. Berger, M. Krisch, Giant Kohn anomaly and the phase transition in charge density wave ZrTe3. Phys. Rev. Lett. 102, 86402 (2009). https://doi.org/10.1103/PhysRevLett.102.086402
M. Hoesch, P. Piekarz, A. Bosak, M. Le Tacon, M. Krisch, A. Kozłowski, A.M. Oleś, K. Parlinski, Anharmonicity due to electron-phonon coupling in magnetite. Phys. Rev. Lett. 110, 207204 (2013). http://link.aps.org/doi/10.1103/PhysRevLett.110.207204
M. Holt, Z. Wu, H. Hong, P. Zschack, P. Jemian, J. Tischler, H. Chen, T.C. Chiang, Determination of phonon dispersions from X-ray transmission scattering: the example of silicon. Phys. Rev. Lett. 83, 3317 (1999). http://link.aps.org/abstract/PRL/v83/p3317
H. Hong, R. Xu, A. Alatas, M. Holt, T.-C. Chiang, Central peak and narrow component in x-ray scattering measurementsnear the displacive phase transition in SrTiO3. Phys. Rev. B. 78, 104121 (2008)
S. Hosokawa, M. Inui, K. Matsuda, D. Ishikawa, A.Q.R. Baron, Damping of the collective modes in liquid Fe. Phys. Rev. B. 77, 174203–174210 (2008). http://link.aps.org/abstract/PRB/v77/e174203
S. Huotari, G. Vanko, F. Albergamo, C. Ponchut, H. Graafsma, C. Henriquet, R. Verbeni, G. Monaco, Improving the performance of high-resolution X-ray spectrometers with position-sensitive pixel detectors. J. Synch. Rad. 12, 467–472 (2005). https://doi.org/10.1107/s0909049505010630
K. Ikeuchi, K. Isawa, K. Yamada, T. Fukuda, J. Mizuki, S. Tsutsui, A.Q.R. Baron, Growth, characterization, and application of single-crystal La2-xSrCuO4 having a gradient in Sr concentration. Jpn. J. Appl. Phys. 45, 1594–1601 (2006)
D. Ishikawa, A.Q.R. Baron, Temperature gradient analyzers for compact high-resolution X-ray spectrometers. J. Synch. Rad. 17, 12–24 (2010). https://doi.org/10.1107/S0909049509043167
T. Ishikawa, K. Hirano, S. Kikuta, Applications of perfect crystal X-ray optics. Nucl. Inst. Methods Phys. Res. A 308, 356–362 (1991)
D. Ishikawa, H. Uchiyama, S. Tsutsui, H. Fukui, A.Q.R. Baron, Compound focusing for hard-x-ray inelastic scattering. Proc. SPIE. 8848, 88480 (2013). https://doi.org/10.1117/12.2023795
D. Ishikawa, D.S. Ellis, H. Uchiyama, A.Q.R. Baron, Inelastic X-ray scattering with 0.75meV resolution at 25.7keV using a temperature-gradient analyzer. J. Synch. Rad. 22, 3–9 (2015). https://doi.org/10.1107/S1600577514021006
D. Ishikawa, M.W. Haverkort, A.Q.R. Baron, Lattice and magnetic effects on a d–d excitation in NiO Using a 25 meV resolution X-ray spectrometer. J. Phys. Soc. Jpn, Lett. 86, 93706 (2017). https://doi.org/10.7566/JPSJ.86.093706
K. Iwasa, R. Igarashi, K. Saito, C. Laulhé, T. Orihara, S. Kunii, K. Kuwahara, H. Nakao, Y. Murakami, F. Iga, et al., Motion of the guest ion as precursor to the first-order phase transition in the cage system GdB_{6}. Phys. Rev. B. 84, 214308 (2011). https://doi.org/10.1103/PhysRevB.84.214308
K. Iwasa, K. Kuwahara, Y. Utsumi, K. Saito, H. Kobayashi, T. Sato, M. Amano, T. Hasegawa, N. Ogita, M. Udagawa, et al., Renormalized motion of dysprosium atoms filling boron cages of DyB6. J. Phys. Soc. Jpn. 81, 113601 (2012). https://doi.org/10.1143/JPSJ.81.113601
K. Iwasa, F. Iga, A. Yonemoto, Y. Otomo, S. Tsutsui, A.Q.R. Baron, Universality of anharmonic motion of heavy rare-earth atoms in hexaborides. J. Phys. Soc. Jpn. 83 (2014). https://doi.org/10.7566/JPSJ.83.094604
R.W. James, The Optical Principles of the Diffraction of X-rays (G. Bell & Sons, Ltd, London, 1962)
R. Jeanloz, P.M. Celliers, G.W. Collins, J.H. Eggert, K.K.M. Lee, R.S. McWilliams, S. Brygoo, P. Loubeyre, Achieving high-density states through shock-wave loading of precompressed samples. Proc. Natl. Acad. Sci. U. S. A. 104, 9172–9177 (2007). https://doi.org/10.1073/pnas.0608170104
L. Jin, L. Jung-Fu, A. Ahmet, M.Y. Hu, Z. Jiyong, D. Leonid, Seismic parameters of hcp-Fe alloyed with Ni and Si in the Earth’s inner core. J. Geophys. Res. Solid Earth. 121, 610–623 (2016). https://doi.org/10.1002/2015JB012625
R. Kajimoto, H. Sagayama, K. Sasai, T. Fukuda, S. Tsutsui, T. Arima, K. Hirota, Y. Mitsui, H. Yoshizawa, A.Q.R. Baron, et al., Unconventional ferroelectric transition in the multiferroic compound TbMnO[sub 3] revealed by the absence of an anomaly in c-polarized phonon dispersion. Phys. Rev. Lett. 102, 247602–247604 (2009). https://doi.org/10.1103/PhysRevLett.102.247602
R. Kajimoto, M. Nakamura, Y. Inamura, F. Mizuno, K. Nakajima, S. Ohira-Kawamura, T. Yokoo, T. Nakatani, R. Maruyama, K. Soyama, et al., The Fermi chopper spectrometer 4SEASONS at J-PARC. J. Phys. Soc. Jpn. 80, SB025 (2011). https://doi.org/10.1143/JPSJS.80SB.SB025
S. Kamada, E. Ohtani, H. Fukui, T. Sakai, H. Terasaki, S. Takahashi, Y. Shibazaki, S. Tsutsui, A.Q.R. Baron, N. Hirao, et al., The sound velocity measurements of Fe3S. Am. Mineral 99, 98–101 (2014). https://doi.org/10.2138/am.2014.4463
Y. Kamihara, T. Watanabe, M. Hirano, H. Hosono, Iron-based layered superconductor La[O1-xFx]FeAs (x = 0.05-0.12) with Tc = 26 K. J. Am. Chem. Soc. 130, 3296–3297 (2008). http://pubs3.acs.org/acs/journals/doilookup?in_doi=10.1021/ja800073m
A.P. Kantor, I.Y. Kantor, A.V. Kurnosov, A.Y. Kuznetsov, N.A. Dubrovinskaia, M. Krisch, A.A. Bossak, V.P. Dmitriev, V.S. Urusov, L.S. Dubrovinsky, Sound wave velocities of fcc FeNi alloy at high pressure and temperature by mean of inelastic X-ray scattering. Phys. Earth Planet. Inter. 164, 83–89 (2007). https://doi.org/10.1016/j.pepi.2007.06.006
S. I. Kawaguchi, Y. Nakajima, K. Hirose, T. Komabayashi, H. Ozawa, S. Tateno, Y. Kuwayama, S. Tsutsui, A. Q. R. Baron, Sound velocity of liquid Fe-Ni-S at high pressure J. Geophys. Res. Solid Earth. 122 (2017). https://doi.org/10.1002/2016JB013609.
Y. Kawakita, S. Hosokawa, T. Enosaki, K. Ohshima, S. Takeda, W.-C. Pilgrim, S. Tsutsui, Y. Tanaka, A.Q.R. Baron, K. Oshima, et al., Coherent dynamic scattering law of divalent liquid Mg. J. Phys. Soc. Jpn. L72, 1603 (2003). https://doi.org/10.1143/JPSJ.72.1603
H. Kawano, H. Yoshizawa, H. Takeya, K. Kadowaki, Anomalous phonon scattering below Tc in YNi2B2C. Phys. Rev. Lett. 77, 4628–4631 (1996). http://link.aps.org/doi/10.1103/PhysRevLett.77.4628
D. Ketenoglu, M. Harder, K. Klementiev, M. Upton, M. Taherkhani, M. Spiwek, F.-U. Dill, H.-C. Wille, H. Yavaş. Resonant inelastic x-ray scattering spectrometer with 25 meV resolution at Cu K-edge. Submitt. Publ (2014)
H. Khosroabadi, S. Miyasaka, J. Kobayashi, K. Tanaka, H. Uchiyama, A.Q.R. Baron, S. Tajima, Softening of bond-stretching phonon mode in Ba_{1-x}K_{x}BiO_{3} at the metal-insulator transition. Phys. Rev. B. 83, 224525 (2011). http://link.aps.org/doi/10.1103/PhysRevB.83.224525
K.-J. Kim, Y. Shvyd’ko, S. Reiche, A proposal for an X-ray free-electron laser oscillator with an energy-recovery linac. Phys. Rev. Lett. 100, 244802 (2008). http://link.aps.org/doi/10.1103/PhysRevLett.100.244802
J. Kim, D. Casa, A. Said, R. Krakora, B.J. Kim, E. Kasman, X. Huang, T. Gog, Quartz-based flat-crystal resonant inelastic x-ray scattering spectrometer with sub-10 meV energy resolution. Sci. Rep. 8, 1958 (2018). https://doi.org/10.1038/s41598-018-20396-z
A.C.W. Klimczuk, H.C. Walker, R. Springell, M. Krisch, A. Bosak, A.H. Hill, C.E. Zvorişte-Walters, E. Colineau, J.C. Griveau, D. Bouëxière, R. Eloirdi, R. Caciuffo, T. Klimczuk, Absence of superconductivity in fluorine-doped neptunium pnictide NpFeAsO. J. Phys. Condens. Matter. 27, 325702 (2015). http://stacks.iop.org/0953-8984/27/i=32/a=325702
Y. Kong, O.V. Dolgov, O. Jepsen, O.K. Andersen, Electron-phonon interacrion in the normal and superconducting states of MgB2. Phys. Rev. B. 64, 20501 (2001)
K.L. Kostov, S. Polzin, W. Widdra, High-resolution phonon study of the Ag(100) surface. J. Phys. Condens. Matter. 23, 484006 (2011). http://stacks.iop.org/0953-8984/23/i=48/a=484006
M.M. Koza, A. Leithe-Jasper, H. Rosner, W. Schnelle, H. Mutka, M.R. Johnson, M. Krisch, L. Capogna, Y. Grin, Vibrational dynamics of the filled skutterudites M1-xFe4Sb12 (M=Ca, Sr, Ba, and Yb): temperature response, dispersion relation, and material properties. Phys. Rev. B. 84, 14306 (2011). http://link.aps.org/doi/10.1103/PhysRevB.84.014306
M. Krisch, F. Sette, Inelastic X-ray scattering from phonons. Light Scatt. Solids IX 108, 317–369 (2007)
M. Krisch, R.A. Brand, M. Chernikov, H.R. Ott, Phonons in the icosahedral quasicrystal i-AlPdMn studied by inelastic X-ray scattering. Phys. Rev. B. 65, 134201–134207 (2002). https://doi.org/10.1103/PhysRevB.65.134201
M. Krisch, A. Mermet, H. Grimm, V.T. Forsyth, A. Rupprecht, Phonon dispersion of oriented DNA by inelastic X-ray scattering. Phys. Rev. E. 73, 61909–61910 (2006). https://doi.org/10.1103/PhysRevE.73.061909
M. Krisch, D.L. Farber, R. Xu, D. Antonangeli, C.M. Aracne, A. Beraud, T.-C. Chiang, J. Zarestky, D.Y. Kim, E.I. Isaev, et al., Phonons of the anomalous element cerium. Proc. Natl. Acad. Sci. 108, 9342–9345 (2011). https://doi.org/10.1073/pnas.1015945108
R. Kuna, R. Minikayeva, M. Trzyna, K. Gas, A. Bosak, A. Szczerbakow, S. Petit, J. Łazewskif, W. Szuszkiewiczb, Inelastic X-ray scattering studies of phonon dispersion in PbTe and (Pb,Cd)Te solid solution. ACTA Phys. Pol. A 130, 1251 (2016). https://doi.org/10.12693/APhysPolA.130.1251
S. Kuroiwa, A.Q.R. Baron, T. Muranaka, R. Heid, K.-P. Bohnen, J. Akimitsu, Soft-phonon-driven superconductivity in CaAlSi as seen by inelastic x-ray scattering. Phys. Rev. B. 77, 140503 (2008). https://doi.org/10.1103/PhysRevB.77.140503
C.H. Lai, H.S. Fung, W.B. Wu, H.Y. Huang, H.W. Fu, S.W. Lin, S.W. Huang, C.C. Chiu, D.J. Wang, L.J. Huang, et al., Highly efficient beamline and spectrometer for inelastic soft X-ray scattering at high resolution. J. Synch. Rad. 21, 325–332 (2014). https://doi.org/10.1107/S1600577513030877
A. Lanzara, P.V. Bogdanov, X.J. Zhou, S.A. Keller, D.L. Feng, E.D. Le, T. Yoshida, H. Eisaki, A. Fujimori, K. Kishio, et al., Evidence for ubiquitous strong electron-phonon coupling in high-temperature superconductors. Nature 412, 510 (2001)
M. Le Tacon, M. Krisch, A. Bosak, J.-W.G. Bos, S. Margadonna, Phonon density of states in NdFeAsO1-xFx. Phys. Rev. B. 78, 140505 (2008). http://link.aps.org/doi/10.1103/PhysRevB.78.140505
M. Le Tacon, T.R. Forrest, C. Rüegg, A. Bosak, A.C. Walters, R. Mittal, H.M. Rønnow, N.D. Zhigadlo, S. Katrych, J. Karpinski, et al., Inelastic x-ray scattering study of superconducting SmFeAsO1-xFy single crystals: evidence for strong momentum-dependent doping-induced renormalizations of optical phonons. Phys. Rev. B. 80, 220504 (2009). http://link.aps.org/doi/10.1103/PhysRevB.80.220504
M. Le Tacon, A. Bosak, S.M. Souliou, G. Dellea, T. Loew, R. Heid, K.P. Bohnen, G. Ghiringhelli, M. Krisch, B. Keimer, Inelastic X-ray scattering in YBa2Cu3O6.6 reveals giant phonon anomalies and elastic central peak due to charge-density-wave formation. Nat Phys. 10, 52–58 (2013). https://doi.org/10.1038/nphys2805
S. Lee, H. Mori, T. Masui, Y. Eltsev, A. Yamamoto, S. Tajima, Growth, structure analysis and anisotropic superconducting properties of MgB2 single crystals. J. Phys. Soc. Jpn. 70, 2255–2258 (2001). https://doi.org/10.1143/JPSJ.70.2255
C.-H. Lee, K. Kihou, K. Horigane, S. Tsutsui, T. Fukuda, H. Eisaki, A. Iyo, H. Yamaguchi, A.Q.R. Baron, M. Braden, et al., Effect of K Doping on phonons in Ba1-xKxFe2As2. J. Phys. Soc. Jpn 79, 14714 (2010)
W.S. Lee, S. Johnston, B. Moritz, J. Lee, M. Yi, K.J. Zhou, T. Schmitt, L. Patthey, V. Strocov, K. Kudo, et al., Role of lattice coupling in establishing electronic and magnetic properties in quasi-one-dimensional cuprates. Phys. Rev. Lett. 110, 265502 (2013). http://link.aps.org/doi/10.1103/PhysRevLett.110.265502
M. Leroux, M. Le Tacon, M. Calandra, L. Cario, M.-A. Méasson, P. Diener, E. Borrissenko, A. Bosak, P. Rodière, Anharmonic suppression of charge density waves in 2H-NbS{}_{2}. Phys. Rev. B. 86, 155125 (2012). https://doi.org/10.1103/PhysRevB.86.155125
M. Leroux, I. Errea, M. Le Tacon, S.-M. Souliou, G. Garbarino, L. Cario, A. Bosak, F. Mauri, M. Calandra, P. Rodière, Strong anharmonicity induces quantum melting of charge density wave in 2H-NbSe_{2} under pressure. Phys. Rev. B. 92, 140303 (2015). https://doi.org/10.1103/PhysRevB.92.140303. https://link.aps.org/doi/10.1103/PhysRevB.92.140303
M. Leroux, L. Cario, A. Bosak, P. Rodière, Traces of charge density waves in NbS_{2}. Phys. Rev. B. 97, 195140 (2018). https://doi.org/10.1103/PhysRevB.97.195140
Y. Liu, D. Berti, P. Baglioni, S.-H. Chen, A. Alatas, H. Sinn, A. Said, E. Alp, Inelastic X-ray scattering studies of phonons propagating along the axial direction of a DNA molecule having different counter-ion atmosphere. J. Phys. Chem. Solids 66, 2235–2245 (2005). https://doi.org/10.1016/j.jpcs.2005.09.017
J. Liu, J.-F. Lin, A. Alatas, W. Bi, Sound velocities of bcc-Fe and Fe0.85Si0.15 alloy at high pressure and temperature. Phys. Earth Planet. Inter 233, 24–32 (2014). https://doi.org/10.1016/j.pepi.2014.05.008
G. Liu, H. K. Mao, A. Q. R. Baron, Work in progress (n.d.).
I. Loa, M.I. McMahon, A. Bosak, Origin of the incommensurate modulation in Te-III and Fermi-surface nesting in a simple metal. Phys. Rev. Lett. 102, 35501 (2009). http://link.aps.org/doi/10.1103/PhysRevLett.102.035501
I. Loa, E.I. Isaev, M.I. McMahon, D.Y. Kim, B. Johansson, A. Bosak, M. Krisch, Lattice dynamics and superconductivity in cerium at high pressure. Phys. Rev. Lett. 108, 45502 (2012). http://link.aps.org/doi/10.1103/PhysRevLett.108.045502
M. Lüders, M.A.L. Marques, N.N. Lathiotakis, A. Floris, G. Profeta, L. Fast, A. Continenza, S. Massidda, E.K.U. Gross, {Ab initio} theory of superconductivity. I. Density functional formalism and approximate functionals. Phys. Rev. B. 72, 24545 (2005). http://link.aps.org/doi/10.1103/PhysRevB.72.024545
H. Ma, C. Li, S. Tang, J. Yan, A. Alatas, L. Lindsay, B.C. Sales, Z. Tian, Boron arsenide phonon dispersion from inelastic x-ray scattering: potential for ultrahigh thermal conductivity. Phys. Rev. B. 94, 220303 (2016). https://doi.org/10.1103/PhysRevB.94.220303
R.M. Macfarlane, H. Rosen, Temperature dependence of the Raman spectrum of the high Tc superconductor YBa2Cu3O7. Solid State Commun. 63, 831 (1987)
P. Maldonado, L. Paolasini, P.M. Oppeneer, T.R. Forrest, A. Prodi, N. Magnani, A. Bosak, G.H. Lander, R. Caciuffo, Crystal dynamics and thermal properties of neptunium dioxide. Phys. Rev. B. 93, 144301 (2016). https://doi.org/10.1103/PhysRevB.93.144301
E. Mamontov, S.B. Vakhrushev, Y.A. Kumzerov, A. Alatas, H. Sinn, Acoustic phonons in chrysotile asbestos probed by high-resolution inelastic x-ray scattering. Solid State Commun. 149, 589–592 (2009). https://doi.org/10.1016/j.ssc.2009.01.033
M.E. Manley, G.H. Lander, H. Sinn, A. Alatas, W.L. Hults, R.J. McQueeney, J.L. Smith, J. Willit, Phonon dispersion in uranium measured using inelastic x-ray scattering. Phys. Rev. B. 67, 52302 (2003). http://link.aps.org/doi/10.1103/PhysRevB.67.052302
M.E. Manley, M. Yethiraj, H. Sinn, H.M. Volz, A. Alatas, J.C. Lashley, W.L. Hults, G.H. Lander, J.L. Smith, Formation of a new dynamical mode in alpha-uranium observed by inelastic X-ray and neutron scattering. Phys. Rev. Lett. 96, 125501 (2006). http://link.aps.org/doi/10.1103/PhysRevLett.96.125501
M.E. Manley, A.H. Said, M.J. Fluss, M. Wall, J.C. Lashley, A. Alatas, K.T. Moore, Y. Shvyd’ko, Phonon density of states of alpha- and delta -plutonium by inelastic x-ray scattering. Phys. Rev. B. 79, 52301 (2009). http://link.aps.org/doi/10.1103/PhysRevB.79.052301
W.L. Mao, V.V. Struzhkin, A.Q.R. Baron, S. Tsutsui, C.E. Tommaseo, H.-R. Wenk, M.Y. Hu, P. Chow, W. Sturhahn, J. Shu, et al., Experimental determination of the elasticity of iron at high pressure. J. Geophys. Res. Solid Earth. 113 (2008). https://doi.org/10.1029/2007JB005229
Z. Mao, J.-F. Lin, J. Liu, A. Alatas, L. Gao, J. Zhao, H.-K. Mao, Sound velocities of Fe and Fe-Si alloy in the Earth’s core. Proc. Natl. Acad. Sci. 109, 10239–10244 (2012). https://doi.org/10.1073/pnas.1207086109
A.V. Martin, Orientational order of liquids and glasses {\it via} fluctuation diffraction. IUCrJ 4, 24–36 (2017). https://doi.org/10.1107/S2052252516016730
M. Maschek, S. Rosenkranz, R. Heid, A.H. Said, P. Giraldo-Gallo, I.R. Fisher, F. Weber, Wave-vector-dependent electron-phonon coupling and the charge-density-wave transition in TbT_{3}. Phys. Rev. B. 91, 235146 (2015). https://link.aps.org/doi/10.1103/PhysRevB.91.235146
M. Maschek, D. Lamago, J.-P. Castellan, A. Bosak, D. Reznik, F. Weber, Polaronic metal phases in La_{0.7}Sr_{0.3}MnO_{3} uncovered by inelastic neutron and x-ray scattering. Phys. Rev. B. 93, 45112 (2016a). https://doi.org/10.1103/PhysRevB.93.045112
M. Maschek, S. Rosenkranz, R. Hott, R. Heid, M. Merz, D.A. Zocco, A.H. Said, A. Alatas, G. Karapetrov, S. Zhu, et al., Superconductivity and hybrid soft modes in TiSe2. Phys. Rev. B. 94, 214507 (2016b). https://doi.org/10.1103/PhysRevB.94.214507
C. Masciovecchio, U. Bergmann, M. Krisch, G. Ruocco, F. Sette, R. Verbeni, A perfect crystal X-ray analyser with 1.5 meV energy resolution. Nucl. Inst. Methods B 117, 339–340 (1996a). https://doi.org/10.1016/0168-583X(96)00334-5
C. Masciovecchio, U. Bergmann, M. Krisch, G. Ruocco, F. Sette, R. Verbeni, A perfect crystal X-ray analyser with meV energy resolution. Nucl. Inst. Methods B 111, 181–186 (1996b). https://doi.org/10.1016/0168-583X(95)01288-5.
C. Masciovecchio, A. Gessini, S.C. Santucci, Ultraviolet Brillouin scattering as a new tool to investigate disordered systems. J. Non-Crystalline Solids 352, 5126–5129 (2006). http://www.sciencedirect.com/science/article/pii/S0022309306008933
W.L. McMillan, Transition temperature of strong-coupled sueprconductors. Phys. Rev. 167, 331 (1968)
H. Miao, D. Ishikawa, R. Heid, M. Le Tacon, G. Fabbris, D. Meyers, G.D. Gu, A.Q.R. Baron, M.P.M. Dean, Incommensurate phonon anomaly and the nature of charge density waves in cuprates. Phys. Rev. X. 8, 11008 (2018). https://link.aps.org/doi/10.1103/PhysRevX.8.011008
A.B. Migdal, No title. Zh. Eksp. Teor. Fiz. 34, 1438 (1958)
A. Migliori, J.L. Sarrao, Resonant Ultrasound Spectroscopy: Applications to Physics, Materials Measurements, and Nondestructive Evaluation (Wiley-VCH, New York, 1997)
R. Mittal, R. Heid, A. Bosak, T.R. Forrest, S.L. Chaplot, D. Lamago, D. Reznik, K.-P. Bohnen, Y. Su, N. Kumar, et al., Pressure dependence of phonon modes across the tetragonal to collapsed-tetragonal phase transition in CaFe2As2. Phys. Rev. 81, 144502 (2010). http://link.aps.org/doi/10.1103/PhysRevB.81.144502
M. Mohr, J. Maultzsch, E. Dobardzic, S. Reich, I. Milosevic, M. Damnjanovic, A. Bosak, M. Krisch, C. Thomsen, Phonon dispersion of graphite by inelastic x-ray scattering. Phys. Rev. B. 76, 35437–35439 (2007). https://doi.org/10.1103/PhysRevB.76.035439
G. Monaco, M. Nardone, F. Sette, R. Verbeni, Molecular vibrational spectroscopy by inelastic X-ray scattering: experimental determination of the absolute vibrational cross section in liquid nitrogen. Phys. Rev. B. 64. %0 Gene, 212102–212104 (2001). https://doi.org/10.1103/PhysRevB.64.212102
G. Monaco, A. Cunsolo, G. Pratesi, F. Sette, R. Verbeni, Deep inelastic atomic scattering of X-rays in liquid neon. Phys. Rev. Lett. 88, 227401–227404 (2002). https://doi.org/10.1103/PhysRevLett.88.227401
K. Mundboth, J. Sutter, D. Laundy, S. Collins, S. Stoupin, Y. Shvyd’ko, Tests and characterization of a laterally graded multilayer Montel mirror. J. Synch. Rad. 21, 16–23 (2014). https://doi.org/10.1107/S1600577513024077
N. Murai, T. Fukuda, T. Kobayashi, M. Nakajima, H. Uchiyama, D. Ishikawa, S. Tsutsui, H. Nakamura, M. Machida, S. Miyasaka, et al., Effect of magnetism on lattice dynamics in SrFe2As2 using high-resolution inelastic x-ray scattering. Phys. Rev. B. 93, 20301 (2016). https://doi.org/10.1103/PhysRevB.93.020301
B.M. Murphy, H. Requardt, J. Stettner, J. Serrano, M. Krisch, M. Möller, W. Press, Phonon modes at the 2H-NbSe2 surface observed by grazing incidence inelastic X-ray scattering. Phys. Rev. Lett. 95, 256104–2561044 (2005). https://doi.org/10.1103/PhysRevLett.95.256104
J. Nagamatsu, N. Nakagawa, T. Muranaka, Y. Zenitani, J. Akimitsu, Superconductivity at 39K in magnesium diboride. Nature 410, 63 (2001)
Y. Nakajima, S. Imada, K. Hirose, T. Komabayashi, H. Ozawa, S. Tateno, S. Tsutsui, Y. Kuwayama, A.Q.R. Baron, Carbon-depleted outer core revealed by sound velocity measurements of liquid iron-carbon alloy. Nat. Commun. 6, 8942 (2015). https://doi.org/10.1038/ncomms9942
J.L. Niedziela, D. Parshall, K.A. Lokshin, A.S. Sefat, A. Alatas, T. Egami, Phonon softening near the structural transition in BaFe2As2 observed by inelastic x-ray scattering. Phys. Rev. B. 84, 224305 (2011). http://link.aps.org/doi/10.1103/PhysRevB.84.224305
NSLS-II Conceptual Design Report (2006). http://www.bnl.gov/nsls2/project/CDR/.
C.D. O’Neill, D.A. Sokolov, A. Hermann, A. Bossak, C. Stock, A.D. Huxley, Inelastic x-ray investigation of the ferroelectric transition in SnTe. Phys. Rev. B. 95, 144101 (2017). https://doi.org/10.1103/PhysRevB.95.144101
F. Occelli, M. Krisch, P. Loubeyre, F. Sette, R. Le Toullec, C. Masciovecchio, J.P. Rueff, Phonon dispersion curves in an argon single crystal at high pressure by inelastic X-ray scattering. Phys. Rev. B. 63, 224306–224308 (2001). https://doi.org/10.1103/PhysRevB.63.224306
C.A. Occhialini, S.U. Handunkanda, A. Said, S. Trivedi, G.G. Guzmán-Verri, J.N. Hancock, Negative thermal expansion near two structural quantum phase transitions. Phys. Rev. Mater. 1, 70603 (2017). https://doi.org/10.1103/PhysRevMaterials.1.070603
E. Ohtani, Y. Shibazaki, T. Sakai, K. Mibe, H. Fukui, S. Kamada, S. Tsutsui, A.Q.R. Baron, Sound velocity of hexagonal close-packed iron up to megabar pressures. Geophys. Res. Lett. 40, 50 (2013)
K. Ohwada, K. Hirota, H. Terauchi, T. Fukuda, S. Tsutsui, A.Q.R. Baron, J. Mizuki, H. Ohwa, N. Yasuda, Intrinsic ferroelectric instability in Pb(In[sub 1/2]Nb[sub 1/2])O[sub 3] revealed by changing B-site randomness: Inelastic x-ray scattering study. Phys. Rev. B. 77, 94136–94138 (2008). http://link.aps.org/abstract/PRB/v77/e094136
T. Osaka, T. Hiran, M. Yabashi, Y.S. Tono, K. Yamauchi, Y. Inubushi, T. Sato, K. Ogawa, S. Matsuyama, T. Ishikawa, et al., Development of split-delay x-ray optics using Si(220) crystals at SACLA. Proc. SPIE. 9210, 921009 (2014)
S.R. Park, T. Fukuda, A. Hamann, D. Lamago, L. Pintschovius, M. Fujita, K. Yamada, D. Reznik, Evidence for a charge collective mode associated with superconductivity in copper oxides from neutron and x-ray scattering measurements of La2−xSrxCuO4. Phys. Rev. B. 89, 20506 (2014). http://link.aps.org/doi/10.1103/PhysRevB.89.020506
D. Parshall, L. Pintschovius, J.L. Niedziela, J.-P. Castellan, D. Lamago, R. Mittal, T. Wolf, D. Reznik, Close correlation between magnetic properties and the soft phonon mode of the structural transition BaFe2As2 and SrFe2As2. Phys. Rev. B. 91, 134426 (2015). http://link.aps.org/doi/10.1103/PhysRevB.91.134426
F. Perakis, G. Camisasca, T.J. Lane, A. Späh, K.T. Wikfeldt, J.A. Sellberg, F. Lehmkühler, H. Pathak, K.H. Kim, K. Amann-Winkel, et al., Coherent X-rays reveal the influence of cage effects on ultrafast water dynamics. Nat. Commun. 9, 1917 (2018). https://doi.org/10.1038/s41467-018-04330-5
Z.G. Pinsker, Dynamical Scattering of X-rays in Crystals (Springer, New York, 1978)
Pintschovius, L., Reichardt, W., Inelastic scattering studies of the lattice vibrations of high Tc compounds, in Physical Properties of High Temperature Superconductors IV, ed. by D. Ginsberg (World Scientific, Singapore, 1994), p. 295
M. Plazanet, A. Beraud, M. Johnson, M. Krisch, H.P. Trommsdorff, Probing vibrational excitations in molecular crystals by inelastic scattering: from neutrons to X-rays. Chem. Phys. 317, 153–158 (2005). https://doi.org/10.1016/j.chemphys.2005.04.040
R. Pradip, P. Piekarz, A. Bosak, D.G. Merkel, O. Waller, A. Seiler, A.I. Chumakov, R. Rüffer, A.M. Oleś, K. Parlinski, et al., Lattice dynamics of EuO: evidence for giant spin-phonon coupling. Phys. Rev. Lett. 116, 185501 (2016). http://link.aps.org/doi/10.1103/PhysRevLett.116.185501
J.W. Quilty, S. Lee, A. Yamamoto, S. Tajima, Superconducting gap in MgB2: electronic Raman scattering measurements of single crystals. Phys. Rev. Lett. 88, 87001 (2002)
S. Raymond, J.P. Rueff, S.M. Shapiro, P. Wochner, F. Sette, P. Lejay, Anomalous lattice properties of the heavy fermion compound CeRu2Si2: an X-ray scattering investigation. Solid State Commun. 118. %0 Gen, 473–477 (2001). https://doi.org/10.1016/s0038-1098(01)00162-4
S. Raymond, P. Piekarz, J.P. Sanchez, J. Serrano, M. Krisch, B. Janousov, J. Rebizant, N. Metoki, K. Kaneko, P.T. Jochym, et al., Probing the Coulomb interaction of the unconventional superconductor PuCoGa5 by phonon spectroscopy. Phys. Rev. Lett. 96, 237003–237004 (2006). https://doi.org/10.1103/PhysRevLett.96.237003
H. Reichert, F. Bencivenga, B. Wehinger, M. Krisch, F. Sette, H. Dosch, High-frequency subsurface and bulk dynamics of liquid indium. Phys. Rev. Lett. 98, 96104 (2007). https://doi.org/10.1103/PhysRevLett.98.096104
Z.-A. Ren, W. Lu, J. Yang, W. Yi, X.-L. Shen, Z. Cai, G.-C. Che, X.-L. Dong, L.-L. Sun, F. Zhou, et al., Superconductivity at 55 K in iron-based F-doped layered quaternary compound Sm[O1-xFx] FeAs. Chinese Phys. Lett. 25, 2215–2216 (2008)
S. Rennie, E. Lawrence Bright, J.E. Darnbrough, L. Paolasini, A. Bosak, A.D. Smith, N. Mason, G.H. Lander, R. Springell, Study of phonons in irradiated epitaxial thin films of UO_{2}. Phys. Rev. B. 97, 224303 (2018). https://doi.org/10.1103/PhysRevB.97.224303
H. Requardt, J.E. Lorenzo, P. Monceau, R. Currat, M. Krisch, Dynamics in the charge-density-wave system NbSe3 using inelastic X-ray scattering with meV energy resolution. Phys. Rev. B. 66, 214303–214304 (2002). https://doi.org/10.1103/PhysRevB.66.214303
D. Reznik, Phonon anomalies and dynamic stripes. Phys. C Supercond. 481, 75–92 (2012). http://www.sciencedirect.com/science/article/pii/S0921453412000469
D. Reznik, B. Keimer, F. Dogan, I.A. Aksay, q dependence and self energy effects of the plane oxygen vibrations of YBa2Cu3O7. Phys. Rev. Lett. 75, 2396 (1995)
D. Reznik, L. Pintschovius, M. Ito, S. Iikubo, M. Sato, H. Goka, M. Fujita, K. Yamada, G.D. Gu, J.M. Tranquada, Electron-phonon coupling reflecting dynamic charge inhomogeneity in copper oxide superconductors. Nature. 440, 1170–1173 (2006). https://doi.org/10.1038/nature04704
D. Reznik, T. Fukuda, D. Lamago, A.Q.R. Baron, S. Tsutsui, M. Fujita, K. Yamada, q-Dependence of the giant bond-stretching phonon anomaly in the stripe compound La1.48Nd0.4Sr0.12CuO4 measured by IXS. J. Phys. Chem. Solids. 69, 3103 (2008)
D. Reznik, K. Lokshin, D.C. Mitchell, D. Parshall, W. Dmowski, D. Lamago, R. Heid, K.-P. Bohnen, A.S. Sefat, M.A. McGuire, et al., Phonons in doped and undoped BaFe2As2 investigated by inelastic x-ray scattering. Phys. Rev. B. 80, 214534 (2009). http://link.aps.org/doi/10.1103/PhysRevB.80.214534
A. Robert, R. Curtis, D. Flath, A. Gray, M. Sikorski, S. Song, V. Srinivasan, D. Stefanescu, The X-ray correlation spectroscopy instrument at the Linac Coherent Light Source. J. Phys. Conf. Ser. 425, 212009 (2013)
W. Roseker, S. Lee, M. Walther, H. Schulte-Schrepping, H. Franz, A. Gray, M. Sikorski, P. H. Fuoss, G. B. Stephenson, A. Robert, et al., Hard x-ray delay line for x-ray photon correlation spectroscopy and jitter-free pump-probe experiments at LCLS. Proc. SPIE. 8504. (2012)
M. Rotter, P. Rogl, A. Grytsiv, W. Wolf, M. Krisch, A. Mirone, Lattice dynamics of skutterudites: inelastic x-ray scattering on CoSb3. Phys. Rev. B. 77, 144301 (2008a). http://link.aps.org/doi/10.1103/PhysRevB.77.144301
M. Rotter, M. Tegel, D. Johrendt, Superconductivity at 38∼K in the Iron Arsenide B1−xKx Fe2 As2. Phys. Rev. Lett. 101, 107006 (2008b). http://link.aps.org/doi/10.1103/PhysRevLett.101.107006
J.-P.P. Rueff, M. Calandra, M. D’Astuto, P. Leininger, A. Shukla, A. Bosak, M. Krisch, H. Ishii, Y. Cai, P. Badica, et al., Phonon softening in NaxCoO2·yH2O: implications for the Fermi surface topology and the superconducting state. Phys. Rev. B. 74, 20504 (2006). https://doi.org/10.1103/PhysRevB.74.020504
M. Ruminy, M.N. Valdez, B. Wehinger, A. Bosak, D.T. Adroja, U. Stuhr, K. Iida, K. Kamazawa, E. Pomjakushina, D. Prabakharan, et al., First-principles calculation and experimental investigation of lattice dynamics in the rare-earth pyrochlores R2Ti2O7 (R=Tb,Dy,Ho). Phys. Rev. B 93, 214308 (2016). https://doi.org/10.1103/PhysRevB.93.214308. https://link.aps.org/doi/10.1103/PhysRevB.93.214308
A. Said, H. Sinn, R. Divan, New developments in fabrication of high-energy-resolution analyzers for inelastic X-ray spectroscopy. J. Synch. Rad. 18, 492 (2011)
A.H. Said, T. Gog, M. Wieczorek, X. Huang, D. Casa, E. Kasman, R. Divan, J.H. Kim, High-energy-resolution diced spherical quartz analyzers for resonant inelastic X-ray scattering. J. Synch. Rad. 25, 373–377 (2018). https://doi.org/10.1107/S1600577517018185
H. Sakai, J. Fujioka, T. Fukuda, D. Okuyama, D. Hashizume, F. Kagawa, H. Nakao, Y. Murakami, T. Arima, A.Q.R. Baron, et al., Displacement-type ferroelectricity with Off-Center Magnetic Ions in Perovskite Sr1-xBaxMnO3. Phys. Rev. Lett. 107, 137601 (2011). http://link.aps.org/doi/10.1103/PhysRevLett.107.137601
H. Sakai, J. Fujioka, T. Fukuda, M.S. Bahramy, D. Okuyama, R. Arita, T. Arima, A.Q.R. Baron, Y. Taguchi, Y. Tokura, Soft phonon mode coupled with antiferromagnetic order in incipient-ferroelectric Mott insulators Sr1-xBaxMnO3. Phys. Rev. B. 86, 104407 (2012). http://link.aps.org/doi/10.1103/PhysRevB.86.104407
W. Schülke, Electron Dynamics by Inelastic X-Ray Scattering (Oxford University Press, New York, 2007)
T. Scopigno, R. Di Leonardo, G. Ruocco, A.Q.R. Baron, S. Tsutsui, F. Bossard, S.N. Yannopoulos, High frequency dynamics in a monatomic glass. Phys. Rev. Lett. 92, 25503–25504 (2004). http://link.aps.org/abstract/PRL/v92/e025503
J.F. Scott, J. Bryson, M.A. Carpenter, J. Herrero-Albillos, M. Itoh, Elastic and anelastic properties of ferroelectric SrTi18O3. Phys. Rev. Lett. 106, 105502 (2011). http://link.aps.org/doi/10.1103/PhysRevLett.106.105502
I. Sergueev, H.-C. Wille, R.P. Hermann, D. Bessas, Y.V. Shvyd’ko, M. Zajac, R. Rüffer, Milli-electronvolt monochromatization of hard X-rays with a sapphire backscattering monochromator. J. Synch. Rad. 18, 802–810 (2011). https://doi.org/10.1107/S090904951102485X
J. Serrano, A. Bosak, R. Arenal, M. Krisch, K. Watanabe, T. Taniguchi, H. Kanda, A. Rubio, L. Wirtz, Vibrational properties of hexagonal boron nitride: inelastic X-ray scattering and ab initio calculations. Phys. Rev. Lett. 98, 95503–95504 (2007). https://doi.org/10.1103/PhysRevLett.98.095503
M. Seto, Y. Yoda, S. Kikuta, X.W. Zhang, M. Ando, Observation of nuclear resonant scattering accompanied by phonon excitation using synchrotron radiation. Phys. Rev. Lett. 74, 3828–3831 (1995)
F. Sette, G. Ruocco, M. Kirsch, U. Bergmann, C. Mascivecchio, V. Mazzacurati, G. Signorelli, R. Verbini, Collective dynamics in water by high energy resolution inelastic X-ray scattering. Phys. Rev. Lett. 75, 850–853 (1995)
S.M. Shapiro, G. Shirane, J.D. Axe, Measurements of the electron-phonon interaction in Nb by inelastic neutron scattering. Phys. Rev. B. 12, 4899–4908 (1975). http://link.aps.org/doi/10.1103/PhysRevB.12.4899
Y. Shibazaki, E. Ohtani, H. Fukui, T. Sakai, S. Kamada, D. Ishikawa, S. Tsutsui, A.Q.R. Baron, N. Nishitani, N. Hirao, et al., Sound velocity measurements in dhcp-FeH up to 70 GPa with inelastic X-ray scattering: Implications for the composition of the Earth’s core. Earth Planet. Sci. Lett. 313–314, 79–85 (2012). https://doi.org/10.1016/j.epsl.2011.11.002
D. Shu, T.S. Toellner, E.E. Alp, Design of a high-resolution high-stability positioning mechanism for crystal optics. To Be Puiblished Proceeding SRI 1999 (1999)
D. Shu, T.S. Toellner, E.E. Alp, Design of a high-resolution high-stability positioning mechanism for crystal optics. AIP Conf. Proc. 521, (2000)
A. Shukla, M. Calandra, M. d’Astuto, M. Lazzeri, F. Mauri, C. Bellin, M. Krisch, J. Karpinski, S.M. Kazakov, J. Jun, et al., Phonon dispersion and lifetimes in MgB2. Cond-Mat/0209064 (2002)
Y. Shvyd’ko, X-Ray Optics: High-Energy-Resolution Application (Springer, New York, 2004)
Y. Shvyd’ko, Theory of angular-dispersive, imaging hard-x-ray spectrographs. Phys. Rev. A. 91, 53817 (2015). http://link.aps.org/doi/10.1103/PhysRevA.91.053817
Y. Shvyd’ko, X-ray echo spectroscopy. Phys. Rev. Lett. 116, 80801 (2016). http://link.aps.org/doi/10.1103/PhysRevLett.116.080801
Y.V. Shvyd’ko, E. Gerdau, Backscattering Mirrors for X-rays and Mössbauer radiation. Hyperfine Interact. 123/124, 741 (1999)
Y. Shvyd’ko, M. Lerche, U. Kuetgens, H. Rüter, A. Alatas, J. Zhao, X-ray Bragg diffraction in asymmetric backscattering geometry. Phys. Rev. Lett. 97, 235502 (2006). http://link.aps.org/doi/10.1103/PhysRevLett.97.235502
Y. Shvyd’ko, S. Stoupin, D. Shu, R. Khachatryan, Using angular dispersion and anomalous transmission to shape ultramonochromatic x rays. Phys. Rev. A. 84, 53823 (2011). http://link.aps.org/doi/10.1103/PhysRevA.84.053823
Y. Shvyd’ko, S. Stoupin, K. Mundboth, J. Kim, Hard-x-ray spectrographs with resolution beyond 100 ueV. Phys. Rev. A. 87, 43835 (2013). http://link.aps.org/doi/10.1103/PhysRevA.87.043835
Y. Shvyd’ko, S. Stoupin, D. Shu, S.P. Collins, K. Mundboth, J. Sutter, M. Tolkiehn, High-contrast sub-millivolt inelastic X-ray scattering for nano- and mesoscale science. Nat Commun. 5, 4219 (2014). https://doi.org/10.1038/ncomms5219
D.P. Siddons, J.B. Hastings, G. Faigel, A new apparatus for the study of nuclear Bragg scattering. Nucl. Instrum. Methods A266, 329–335 (1988)
H. Sinn, Spectroscopy with meV energy resolution. J. Phys.:Cond. Matter. 13, 7525 (2001)
S.M. Souliou, H. Gretarsson, G. Garbarino, A. Bosak, J. Porras, T. Loew, B. Keimer, M. Le Tacon, Rapid suppression of the charge density wave in YBa_{2}Cu_{3}O_{6.6} under hydrostatic pressure. Phys. Rev. B. 97, 20503 (2018). https://doi.org/10.1103/PhysRevB.97.020503
L.J. Spalek, S.S. Saxena, C. Panagopoulos, T. Katsufuji, J.A. Schiemer, M.A. Carpenter, Elastic and anelastic relaxations associated with phase transitions in EuTiO3. Phys. Rev. B. 90, 54119 (2014). https://doi.org/10.1103/PhysRevB.90.054119
G.P. Srivastava, The Physics of Phonons (Adam Hilger, Bristol, 1990)
C. Stassis, M. Bullock, J. Zarestky, P. Canfield, A.I. Goldman, G. Shirane, S.M. Shapiro, Phonon mode coupling in superconducting LuNi2B2C. Phys. Rev. B. 55, R8678–R8681 (1997). http://link.aps.org/doi/10.1103/PhysRevB.55.R8678
M. Stekiel, T. Nguyen-Thanh, S. Chariton, C. McCammon, A. Bosak, W. Morgenroth, V. Milman, K. Refson, B. Winkler, High pressure elasticity of FeCO3-MgCO3 carbonates. Phys. Earth Planet. Inter. 271, 57–63 (2017). https://doi.org/10.1016/j.pepi.2017.08.004
W. Steurer, A. Apfolter, M. Koch, W.E. Ernst, E. Søndergård, J.R. Manson, B. Holst, Vibrational excitations of glass observed using helium atom scattering. J. Phys. Condens. Matter. 20, 224003 (2008). http://stacks.iop.org/0953-8984/20/i=22/a=224003
D. Strauch, B. Dorner, A.A. Ivanov, M. Krisch, J. Serrano, A. Bosak, W. Choyke, B. Stojetz, M. Malorny, Phonons in SiC from INS, IXS, and Ab-initio calculations. Mater. Sci. Forum. 527–529, 689–694 (2006)
W. Sturhahn, T.S. Toellner, Feasibility of in-line instruments for high-resolution inelastic X-ray scattering. J. Synch. Rad. 18, 229–237 (2011). https://doi.org/10.1107/S0909049510053513
W. Sturhahn, T.S. Toellner, E.E. Alp, X. Zhang, M. Ando, Y. Yoda, S. Kikuta, M. Seto, C.W. Kimball, B. Dabrowski, Phonon density of states measured by inelastic nuclear resonant scattering. Phys. Rev. Lett. 74, 3832–3835 (1995)
J.P. Sutter, E.E. Alp, M.Y. Hu, P.L. Lee, H. Sinn, W. Sturhahn, T.S. Toellner, G. Bortel, R. Colella, Multiple-beam x-ray diffraction near exact backscatering. Phys. Rev. B. 63, 94111 (2001)
J.P. Sutter, A.Q.R. Baron, H. Yamazaki, T. Ishikawa, H. Yamazaki, Examination of Bragg backscattering from crystalline quartz. J. Phys. Chem. Solids. 66, 2306–2309 (2005). https://doi.org/10.1016/j.jpcs.2005.09.044
J.P. Sutter, A.Q.R. Baron, D. Miwa, Y. Nishino, K. Tamasaku, T. Ishikawa, Nearly perfect large-area quartz: 4 meV resolution for 10 keV photons over 10 cm2. J. Synch. Rad. 13, 278–280 (2006). https://doi.org/10.1107/S0909049506003888
M. Sutton, Coheren X-ray diffraction, in Third-Generation Hard X-Ray Synchrotron Radiation Sources: Source Properties, Optics, Experimental Techniques, ed. by D.M. Mills (Wiley New York, 2002), pp. 101–123
A.K. Tagantsev, K. Vaideeswaran, S.B. Vakhrushev, A.V. Filimonov, R.G. Burkovsky, A. Shaganov, D. Andronikova, A.I. Rudskoy, A.Q.R. Baron, H. Uchiyama, et al., The origin of antiferroelectricity in PbZrO3. Nat Commun. 4, 2229 (2013). https://doi.org/10.1038/ncomms3229
A. Tamtögl, P. Kraus, M. Mayrhofer-Reinhartshuber, D. Campi, M. Bernasconi, G. Benedek, W.E. Ernst, Surface and subsurface phonons of Bi(111) measured with helium atom scattering. Phys. Rev. B. 87, 35410 (2013). https://doi.org/10.1103/PhysRevB.87.035410
S.W. Teitelbaum, T. Henighan, Y. Huang, H. Liu, M.P. Jiang, D. Zhu, M. Chollet, T. Sato, É.D. Murray, S. Fahy, et al. Direct Measurement of Anharmonic Decay Channels of a Coherent Phonon. Phys. Reveiw Lett. 121, 125901 (2018). https://link.aps.org/doi/10.1103/PhysRevLett.121.125901
C. Thomsen, M. Cardona, B. Gegenheimer, R. Liu, A. Simon, Raman study of the phonon anomaly in single-crystal \( YBa_{2}Cu_{3}O_{7-\delta } \) in the presence of a magnetic field. Phys. Rev. B. 37, 9860 (1988)
Z. Tian, M. Li, Z. Ren, H. Ma, A. Alatas, S.D. Wilson, J. Li, Inelastic x-ray scattering measurements of phonon dispersion and lifetimes in PbTe 1− x Se x alloys. J. Phys. Condens. Matter. 27, 375403 (2015). http://stacks.iop.org/0953-8984/27/i=37/a=375403
T.S. Toellner, T. Mooney, S. Shastri, E.E. Alp, High energy resolution, high angular acceptance crystal monochromator. Opt. High-Brightness Synchrotron Beamlines SPIE 1, 218–222 (1992)
T.S. Toellner, M.Y. Hu, W. Sturhahn, E.E. Alp, J. Zhao, Ultrahigh-resolution x-ray monochromators for elastic and inelastic x-ray scattering studies (abstract) (invited). Rev. Sci. Instrum. 73, 1480 (2002)
T.S. Toellner, A. Alatas, A.H. Said, Six-reflection meV-monochromator for synchrotron radiation. J. Synch. Rad. 18, 605–611 (2011). https://doi.org/10.1107/S0909049511017535
S. Tóth, B. Wehinger, K. Rolfs, T. Birol, U. Stuhr, H. Takatsu, K. Kimura, T. Kimura, H.M. Rønnow, C. Rüegg, Electromagnon dispersion probed by inelastic X-ray scattering in LiCrO2. Nat. Commun. 7, 13547 (2016). https://doi.org/10.1038/ncomms13547
M. Trigo, M. Fuchs, J. Chen, M.P. Jiang, M. Cammarata, S. Fahy, D.M. Fritz, K. Gaffney, S. Ghimire, A. Higginbotham, et al., Fourier-transform inelastic X-ray scattering from time- and momentum-dependent phonon-phonon correlations. Nat Phys. 9, 790–794 (2013). https://doi.org/10.1038/nphys2788
S. Tsutsui, H. Kobayashi, D. Ishikawa, J.P. Sutter, A.Q.R. Baron, T. Hasegawa, N. Ogita, M. Udagawa, Y. Yoda, H. Onodera, et al., Direct observation of low energy Sm phonon in SmRu4P12. J. Phys. Soc. Jpn. 77(L), 033601 (2008)
S. Tsutsui, H. Uchiyama, J.P. Sutter, A.Q.R. Baron, M. Mizumaki, N. Kawamura, T. Uruga, H. Sugawara, J.-I. Yamaura, A. Ochiai, et al., Atomic dynamics of low-lying rare-earth guest modes in heavy fermion filled skutterudites ROs4Sb12 (R = light rare-earth). Phys. Rev. B. 86, 13 (2012). https://doi.org/10.1103/PhysRevB.86.195115
H. Uchiyama, A.Q.R. Baron, S. Tsutsui, Y. Tanaka, W.Z. Hu, A. Yamamoto, S. Tajima, Y. Endoh, Softening of Cu-O bond stretching phonons in tetragonal HgBa[sub 2]CuO[sub 4 + delta]. Phys. Rev. Lett. 92, 197004–197005 (2004). http://link.aps.org/abstract/PRL/v92/e197005
H. Uchiyama, S. Tsutsui, A.Q.R. Baron, Effects of anisotropic charge on transverse optical phonons in NiO: Inelastic x-ray scattering spectroscopy study. Phys. Rev. B. 81, 241103 (2010). https://doi.org/10.1103/PhysRevB.81.241103
H. Uchiyama, Y. Oshima, R. Patterson, S. Iwamoto, J. Shiomi, K. Shimamura, Phonon lifetime observation in epitaxial ScN film with inelastic X-ray scattering spectroscopy. Phys. Rev. Lett. 120, 235901 (2018). https://doi.org/10.1103/PhysRevLett.120.235901
K. Umemoto, K. Hirose, S. Imada, Y. Nakajima, T. Komabayashi, S. Tsutsui, A.Q.R. Baron, Liquid iron-sulfur alloys at outer core conditions by first-principles calculations. Geophys. Res. Lett. 41, 6712–6717 (2014). https://doi.org/10.1002/2014GL061233
M. Upton, A. Walters, C. Howard, K. Rahnejat, M. Ellerby, J. Hill, D. McMorrow, A. Alatas, B. Leu, W. Ku, Phonons in superconducting CaC6 studied via inelastic x-ray scattering. Phys. Rev. B. 76, 220501 (2007). https://doi.org/10.1103/PhysRevB.76.220501
M.H. Upton, T.R. Forrest, A.C. Walters, C.A. Howard, M. Ellerby, A.H. Said, D.F. McMorrow, Phonons and superconductivity in YbC6 and related compounds. Phys. Rev. B. 82, 134515 (2010). http://link.aps.org/doi/10.1103/PhysRevB.82.134515
R. Verbeni, C. Henriquet, D. Gambetti, K. Martel, M. Krisch, G. Monaco, F. Sette, Development of an asymmetrically-cut backscattering monochromator for very high energy resolution inelastic X-ray scattering. ESRF Highlights. Methods, 03. (2003.) http://www.esrf.eu/UsersAndScience/Publications/Highlights/2003/Methods/Methods03
R. Verbeni, M. Kocsis, S. Huotari, M. Krisch, G. Monaco, F. Sette, G. Vanko, Advances in crystal analyzers for inelastic X-ray scattering. J. Phys. Chem. Solids. 66, 2299–2305 (2005). https://doi.org/10.1016/j.jpcs.2005.09.079
D.J. Voneshen, K. Refson, E. Borissenko, M. Krisch, A. Bosak, A. Piovano, E. Cemal, M. Enderle, M.J. Gutmann, M. Hoesch, et al., Suppression of thermal conductivity by rattling modes in thermoelectric sodium cobaltate. Nat Mater. 12, 1028–1032 (2013). https://doi.org/10.1038/nmat3739
Y. Wakabayashi, D. Nakajima, Y. Ishiguro, K. Kimura, T. Kimura, S. Tsutsui, A.Q.R. Baron, K. Hayashi, N. Happo, S. Hosokawa, et al., Chemical and orbital fluctuations in Ba3CuSb2 O9. Phys. Rev. B. 93, 245117 (2016). https://doi.org/10.1103/PhysRevB.93.245117
K. Wakiya, T. Onimaru, S. Tsutsui, T. Hasegawa, K.T. Matsumoto, N. Nagasawa, A.Q.R. Baron, N. Ogita, M. Udagawa, T. Takabatake, Low-energy optical phonon modes in the caged compound LaRu2Zn20. Phys. Rev. B. 93, 64105 (2016). https://doi.org/10.1103/PhysRevB.93.064105
O. Waller, P. Piekarz, A. Bosak, P.T. Jochym, S. Ibrahimkutty, A. Seiler, M. Krisch, T. Baumbach, K. Parlinski, S. Stankov, Lattice dynamics of neodymium: influence of 4f electron correlations. Phys. Rev. B. 94, 14303 (2016). http://link.aps.org/doi/10.1103/PhysRevB.94.014303
A.C. Walters, C.A. Howard, M.H. Upton, M.P.M. Dean, A. Alatas, B.M. Leu, M. Ellerby, D.F. McMorrow, J.P. Hill, M. Calandra, et al., Comparative study of the phonons in nonsuperconducting BaC6 and superconducting CaC6 using inelastic x-ray scattering. Phys. Rev. B. 84, 14511 (2011). http://link.aps.org/doi/10.1103/PhysRevB.84.014511
F. Weber, A. Kreyssig, L. Pintschovius, R. Heid, W. Reichardt, D. Reznik, O. Stockert, K. Hradil, Direct observation of the superconducting gap in phonon spectra. Phys. Rev. Lett. 101, 237002 (2008). http://link.aps.org/doi/10.1103/PhysRevLett.101.237002
F. Weber, S. Rosenkranz, J.-P. Castellan, R. Osborn, R. Hott, R. Heid, K.-P. Bohnen, T. Egami, A.H. Said, D. Reznik, Extended phonon collapse and the origin of the charge-density wave in 2H-NbSe2. Phys. Rev. Lett. 107, 107403 (2011). https://doi.org/10.1103/PhysRevLett.107.107403
F. Weber, R. Hott, R. Heid, K.-P. Bohnen, S. Rosenkranz, J.-P. Castellan, R. Osborn, A.H. Said, B.M. Leu, D. Reznik, Optical phonons and the soft mode in 2H-NbSe2. Phys. Rev. B. 87, 245111 (2013). https://doi.org/10.1103/PhysRevB.87.245111
B. Wehinger, M. Krisch, H. Reichert, High-frequency dynamics in the near-surface region studied by inelastic x-ray scattering: the case of liquid indium. New J. Phys 13, 023021 (2011). http://iopscience.iop.org/1367-2630/13/2/023021/fulltext/
B. Wehinger, A. Bosak, P.T. Jochym, Soft phonon modes in rutile TiO2. Phys. Rev. B. 93, 14303 (2016). http://link.aps.org/doi/10.1103/PhysRevB.93.014303
B. Wehinger, A. Mirone, M. Krisch, A. Bosak, Full elasticity tensor from thermal diffuse scattering. Phys. Rev. Lett. 118, 35502 (2017). http://link.aps.org/doi/10.1103/PhysRevLett.118.035502
S.-C. Weng, R. Xu, A.H. Said, B.M. Leu, Y. Ding, H. Hong, X. Fang, M.Y. Chou, A. Bosak, P. Abbamonte, et al., Pressure-induced antiferrodistortive phase transition in SrTiO 3: common scaling of soft-mode with pressure and temperature. EPL (Europhysics Lett) 107, 36006 (2014). http://stacks.iop.org/0295-5075/107/i=3/a=36006
B. Winkler, A. Friedrich, D.J. Wilson, E. Haussühl, M. Krisch, A. Bosak, K. Refson, V. Milman, Dispersion relation of an OH-stretching vibration from inelastic X-ray scattering. Phys. Rev. Lett. 101, 65501 (2008). http://link.aps.org/doi/10.1103/PhysRevLett.101.065501
J. Wong, M. Krisch, D.L. Farber, F. Occelli, A.J. Schwartz, T.C. Chiang, M. Wall, C. Boro, R. Xu, Phonon dispersion of fcc delta-plutonium-gallium by inelastic X-ray scattering. Science 301(80), 1078–1080 (2003). https://doi.org/10.1126/science.1087179
J. Wong, M. Krisch, D.L. Farber, F. Occelli, R. Xu, T.C. Chiang, D. Clatterbuck, A.J. Schwartz, M. Wall, C. Boro, Crystal dynamics of delta fcc Pu-Ga alloy by high-resolution inelastic X-ray scattering. Phys. Rev. B. 72, 64112–64115 (2005). https://doi.org/10.1103/PhysRevB.72.064115
H. Xia, R. Patterson, S. Smyth, Y. Feng, S. Chung, Y. Zhang, S. Shrestha, S. Huang, H. Uchiyama, S. Tsutsui, et al., Inelastic X-ray scattering measurements of III-V multiple quantum wells. Appl. Phys. Lett. 110 (2017). https://doi.org/10.1063/1.4974478
R. Xu, T.C. Chiang, Determination of phonon dispersion relations by X-ray thermal diffuse scattering. Zeitschrift Fur Krist 220, 1009–1016 (2005)
M. Yabashi, K. Tamasaku, S. Kikuta, T. Ishikawa, X-ray monochromator with an energy resolution of 8×10 −9 at 14.41 keV. Rev. Sci. Instrum. 72, 4080 (2001)
H. Yavas, E. Ercan Alp, H. Sinn, A. Alatas, A.H. Said, Y. Shvyd’ko, T. Toellner, R. Khachatryan, S.J.L. Billinge, M. Zahid Hasan, et al., Sapphire analyzers for high-resolution X-ray spectroscopy. Nuc. Inst. Methods A. 582, 149–151 (2007).http://www.sciencedirect.com/science/article/B6TJM-4PDC17C-W/2/973612407121a98f86bb1c0a9bddbe36
H. Yavaş, J.P. Sutter, T. Gog, H.-C. Wille, A.Q.R. Baron, New materials for high-energy-resolution X-ray optics. MRS Bull. 42, 424–429 (2017). https://doi.org/10.1557/mrs.2017.94
Yildirim, T. G¸lseren, O., Lynn, J. W., Brown, C. M., Udovic, T. J., Huang, Q., Rogado, N., Regan, K. A., Hayward, M. A., Slusky, J. S., et al. (2001). Giant anharmonicity and nonlinear electron-phonon coupling in MgB_{2}: a combined first-principles calculation and neutron scattering study Phys. Rev. Lett. 87, 37001. http://link.aps.org/abstract/PRL/v87/e037001.
A. Yoneda, H. Fukui, F. Xu, A. Nakatsuka, A. Yoshiasa, Y. Seto, K. Ono, S. Tsutsui, H. Uchiyama, A.Q.R. Baron, “Elastic anisotropy of experimental analogues of perovskite and post-perovskite help to interpret D” diversity. Nat. Commun. 5, 3453 (2014). https://doi.org/10.1038%2Fncomms4453
A. Yoneda, H. Fukui, H. Gomi, S. Kamada, L. Xie, N. Hirao, H. Uchiyama, S. Tsutsui, A.Q.R. Baron, Single crystal elasticity of gold up to ∼20 GPa: bulk modulus anomaly and implication for a primary pressure scale. Jpn. J. Appl. Phys. 56, 95801 (2017). http://stacks.iop.org/1347-4065/56/i=9/a=095801
M. Zhernenkov, D. Bolmatov, D. Soloviov, K. Zhernenkov, B.P. Toperverg, A. Cunsolo, A. Bosak, Y.Q. Cai, Revealing the mechanism of passive transport in lipid bilayers via phonon-mediated nanometre-scale density fluctuations. Nat. Commun. 7, 11575 (2016). https://doi.org/10.1038/ncomms11575
D. Zhu, A. Robert, T. Henighan, H.T. Lemke, M. Chollet, J.M. Glownia, D.A. Reis, M. Trigo, Phonon spectroscopy with sub-meV resolution by femtosecond x-ray diffuse scattering. Phys. Rev. B. 92, 54303 (2015). http://link.aps.org/doi/10.1103/PhysRevB.92.054303
D.A. Zocco, S. Krannich, R. Heid, K.-P. Bohnen, T. Wolf, T. Forrest, A. Bosak, F. Weber, Lattice dynamical properties of superconducting SrPt3P studied via inelastic x-ray scattering and density functional perturbation theory. Phys. Rev. B. 92, 220504 (2015). https://doi.org/10.1103/PhysRevB.92.220504
Acknowledgments
I am grateful to several scientists who kindly read and offered comments on preliminary versions of this paper including Sunil Sinha, Rolf Heid, Aleksandr Chumakov, Hiroshi Fukui, Kazuyoshi Yamada, and Yuri Shvyd’ko. I thank the scientists who kindly shared some of the details of the beamlines with me, including Ahmet Alatas, Ayman Said, Alexey Bosak, Claudio Masciovecchio, and Yong Cai. I also thank people for their useful relevant comments including F. Weber and M. Sutton. The paper is based on work carried out at SPring-8. I would like to express my deep appreciation to the many people in all parts of SPring-8 that I have had the pleasure of working with over the last two decades, as well as collaborators outside SPring-8. This work is based on experience gained during many proposals including 2001B 0203 0481 0482 0508 0575 3607, 2002A 0182 0279 0280 0520 0537 0559 0560 0561 0562 0627, 2002B 0151 0178 0179 0180 0243 0248 0249 0287 0382 0383 0529 0539 0565 0593 0594 0632 0668 0709, 2003A 0022 0081 0153 0175 0235 0284 0357 0555 0637 0638 0683 0716, 2003B 0019 0132 0206 0248 0359 0397 0574 0693 0743 0744 0745 0755 0766, 2004A 0322 0439 0510 0519 0577 0582 0590 0634, 2004B 0003 0070 0204 0343 0491 0597 0632 0635 0722 0730 0736 0752, 2005A 0039 0061 0146 0147 0148 0157 0330 0369 0428 0475 0567 0596 0616 0712 0751, 2005B 0082 0093 0124 0253 0266 0295 0346 0441 0443 0484 0603 0623 0650 0731 0736, 2006A 1023 1039 1057 1081 1181 1226 1242 1272 1273 1291 1345 1376 1379 1417 1430 1453 1467 1502, 2006B 1053 1082 1089 1146 1186 1204 1235 1259 1299 1311 1337 1352 1356 1405 1417, 2007A 1109 1118 1125 1125 1222 1234 1279 1281 1301 1374 1436 1441 1473 1505 1507 1523 1539 1561 1612 1647 1671, 2007B 1053 1062 1099 1114 1118 1197 1198 1215 1322 1328 1336 1343 1375 1444 1538 1614 1640 1662, 2008A 1058 1064 1125 1140 1204 1205 1394 1456 1491 1522 1568 1582 1584 1587 1588 1626, 2008B 1381 1403 1473 1178 1108 1326 1584 1240 1144 1169 1491 1634, 2009A 1054 1093 1146 1189 1203 1224 1274 1290 1299 1358 1379 1436 1451 1492 1506 1548, 2009B 1074 1114 1126 1150 1165 1286 1323 1423 1439 1548 1555 1584 1609 1619, 2010B 1108 1112 1177 1185 1206 1353 1354 1392 1410 1453 1497 15271538 1575 1579 1593, 2011A 1051 1075 1104 1117 1136 1154 1180 1256 1271 1300 1304 1366 1373 1452 1502, 2011B 1122 1213 1215 1314 1332 1336 1353 1388 1406 1408 1423 1425 1536 1590, 2012A 1102 1115 1122 1156 1219 1237 1243 1250 1255 1354 1362 1390 1406 1417 1452 1506 1583, 2012B 1080 1125 1159 1196 1226 1236 1277 1283 1343 1356 1358 1364 1439 1577 1596 1658 , 2014A 1026 1059 1076 1086 1089 1100 1106 1122 1131 1154 1207 1231 1235 1236 1240 1346 1368 1378 1385 1434 1678 1687 1884 2014B 1052 1066 1068 1130 1143 1159 1182 1222 1269 1271 1290 1365 1381 1465 1381 1465 1536 1545 1739 1760 1761 1175 1192.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Electronic Supplementary Materials
This paper (and its companion, Part II) has electronic supplementary (ESM). These are a selection of movies of various phonons, designed to complement the text. If you would do not have access to them and would like them, please contact the author. Specific movies include the following: (MP4 62 kb)
Movie of a longitudinal acoustic (LA) mode in MgB 2 near to Γ. The view is looking down the c-axis, small gray spheres are B atoms arranged in a hexagonal lattice, while yellow spheres are represent Mg atoms (MP4 62 kb)
Movie of a transverse acoustic (TA) mode in MgB 2 near to Γ (see notes on Movie 1). Note the motion is transverse to the direction of correlation (MP4 62 kb)
Movie of a longitudinal optic (LO) mode in MgB 2 near to Γ (see notes on Movie 1). Note the out-of-phase (antiphase) motion of the atoms (MP4 51 kb)
Movie of a transverse optic (TO) mode in MgB 2 near to Γ (see notes on Movie 1). Note the out-of-phase (antiphase) motion of the atoms (MP4 65 kb)
Movie of the (low energy) LA mode near to Γ in CaAlSi. The view is perpendicular to the c-axis, with the plane of Ca atoms (white) alternating with the Al-Si planes (blue and red, respectively). Note all motions are in phase (MP4 43 kb)
Movie of the (high energy) LO mode near to Γ in CaAlSi. Same view and colors as for Movie 5. Note the antiphase motion of the adjacent Al and Si. (MP4 37 kb)
Movie of the low-energy mode near to zone boundary (0 0 0.5) in CaAlSi, which, by following the dispersion from Γ, is the acoustic mode. Same view and colors as for Movie 5. Note the antiphase motion of the adjacent Al and Si (MP4 31 kb)
Movie of the high-energy mode near to zone boundary (0 0 0.5) in CaAlSi, which, by following the dispersion from Γ, is the optic mode. Same view and colors as for Movie 5. Note the inphase motion of the adjacent Al and Si (MP4 26 kb)
Movie of the low-energy mode near to the anti-crossing at (0 0 0.21) in CaAlSi, which, by following the dispersion from Γ, is the acoustic mode. Same view and colors as for Movie 5. Note the polarization mixing (MP4 31 kb)
Movie of the high-energy mode near to the anti-crossing at (0 0 0.21) in CaAlSi, which, by following the dispersion from Γ, is the optic mode. Same view and colors as for Movie 5. Note the polarization mixing (MP4 35 kb)
Movie of a Fe-As optical mode in PrFeAsO. The lack of reflection symmetry about the Fe plane leads to elliptical atomic motions (MP4 20 kb)
Movie of one of the bond-stretching modes in YBa 2 Cu 3 O 7 near to Γ. Cu atoms are red, O white, Y yellow, Ba blue. The c-axis is vertical (MP4 48 kb)
Movie of one of the buckling modes in YBa 2 Cu 3 O 7 near to Γ. (See notes on Movie 12) (MP4 23 kb)
Rights and permissions
Copyright information
© 2019 Springer Nature Switzerland AG
About this entry
Cite this entry
Baron, A.Q.R. (2019). High-Resolution Inelastic X-Ray Scattering I: Context, Spectrometers, Samples, and Superconductors. In: Jaeschke, E., Khan, S., Schneider, J., Hastings, J. (eds) Synchrotron Light Sources and Free-Electron Lasers. Springer, Cham. https://doi.org/10.1007/978-3-319-04507-8_41-2
Download citation
DOI: https://doi.org/10.1007/978-3-319-04507-8_41-2
Received:
Accepted:
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-04507-8
Online ISBN: 978-3-319-04507-8
eBook Packages: Springer Reference Physics and AstronomyReference Module Physical and Materials ScienceReference Module Chemistry, Materials and Physics
Publish with us
Chapter history
-
Latest
High-Resolution Inelastic X-Ray Scattering I: Context, Spectrometers, Samples, and Superconductors- Published:
- 29 April 2019
DOI: https://doi.org/10.1007/978-3-319-04507-8_41-2
-
Original
High-Resolution Inelastic X-Ray Scattering I: Context, Spectrometers, Samples, and Superconductors- Published:
- 20 August 2015
DOI: https://doi.org/10.1007/978-3-319-04507-8_41-1