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論文

Development and application of a $$^3$$He neutron spin filter at J-PARC

奥平 琢也; 奥 隆之; 猪野 隆*; 林田 洋寿*; 吉良 弘*; 酒井 健二; 廣井 孝介; 高橋 慎吾*; 相澤 一也; 遠藤 仁*; et al.

Nuclear Instruments and Methods in Physics Research A, 977, p.164301_1 - 164301_8, 2020/10

 被引用回数:0 パーセンタイル:100(Instruments & Instrumentation)

We are developing a neutron polarizer with polarized $$^3$$He gas, referred to as a $$^3$$He spin filter, based on the Spin Exchange Optical Pumping (SEOP) for polarized neutron scattering experiments at Materials and Life Science Experimental Facility (MLF) of Japan Proton Accelerator Research Complex (J-PARC). A $$^3$$He gas-filling station was constructed at J-PARC, and several $$^3$$He cells with long spin relaxation times have been fabricated using the gas-filling station. A laboratory has been prepared in the MLF beam hall for polarizing $$^3$$He cells, and compact pumping systems with laser powers of 30 W and 110 W, which can be installed onto a neutron beamline, have been developed. A $$^3$$He polarization of 85% was achieved at a neutron beamline by using the pumping system with the 110 W laser. Recently, the first user experiment utilizing the $$^3$$He spin filter was conducted, and there have been several more since then. The development and utilization of $$^3$$He spin filters at MLF of J-PARC are reported.

論文

Development of three-dimensional distribution visualization technology for boron using energy resolved neutron-imaging system (RADEN)

阿部 雄太; 土川 雄介; 甲斐 哲也; 松本 吉弘*; Parker, J. D.*; 篠原 武尚; 大石 佑治*; 加美山 隆*; 永江 勇二; 佐藤 一憲

Proceedings of 2020 International Conference on Nuclear Engineering (ICONE 2020) (Internet), 6 Pages, 2020/08

Boron carbide is used as a neutron-absorbing material in Fukushima-Daiichi Nuclear Power Station (1F), producing borides that are twice as hard as oxides (such as UO$$_{2}$$ and ZrO$$_{2}$$). The high neutron absorption of boron affects the evaluation of re-criticality during the process of debris retrieval. Therefore, it is important not only to determine the presence of boron but also to investigate the distribution of boron inside the material in a non-destructive manner during decommissioning. To address the uncertainties in the core material relocation behavior of boiling water reactor (BWR) during a severe accident (SA), solidified melt specimens of a simulated fuel assembly were prepared by plasma heating. If core material melting and relocation (CMMR) specimens can be used to estimate the B distribution in 1F Unit-3, that will provide valuable information in the decommissioning of 1F. To address this, the authors focused on the energy-resolved neutron imaging system, RADEN, which utilizes a wide energy range, from meV to keV. This is an innovative three-dimensional analysis technology for boride distribution that affects the evaluation of hardness and re-criticality. In the calibration standard samples (Zr$$_{x}$$B$$_{1-x}$$ and Fe$$_{x}$$B$$_{1-x}$$), there was a good correlation between boron concentration and the energy-dependence of the cross sections of cold and epi-thermal neutrons. In the CMMR specimens, boron distribution was confirmed from the contrast difference between cold and epi-thermal neutrons. In the future, the results of calibration standard samples will be applied to the results of CMMR specimens. With this method, three-dimensional boron distribution will be measured, and the understanding of boride distribution 1F Unit-3 will be improved, which may be reflected in an improved SA code.

論文

Magnetically induced electric polarization in Ba$$_{3}$$Fe$$_{2}$$O$$_{5}$$Cl$$_{2}$$ with tunable direction in three dimensions

阿部 伸行*; 塩澤 俊介*; 松浦 慧介*; 佐賀山 基*; 中尾 朗子*; 大原 高志; 徳永 祐介*; 有馬 孝尚*

Physical Review B, 101(18), p.180407_1 - 180407_5, 2020/05

 被引用回数:0 パーセンタイル:100(Materials Science, Multidisciplinary)

The correlation between magnetism and electric polarization in a chiral insulating magnet Ba$$_{3}$$Fe$$_{2}$$O$$_{5}$$Cl$$_{2}$$ has been investigated. The temperature dependence of magnetic susceptibility shows an anomaly at 564 K, suggesting the onset of antiferromagnetic order of Fe$$^{3+}$$ moments. Electric polarization appears in a magnetic field below TN due to the spin-direction-dependent metal-ligand hybridization. The direction of the electric polarization can be controlled in three-dimensional space by changing the direction of an external magnetic field. This compound also shows an antiferromagnetic-to-weak-ferromagnetic transition accompanied by a structural phase transition at 140 K.

論文

The Energy-resolved neutron imaging system, RADEN

篠原 武尚; 甲斐 哲也; 及川 健一; 中谷 健; 瀬川 麻里子; 廣井 孝介; Su, Y.; 大井 元貴; 原田 正英; 飯倉 寛; et al.

Review of Scientific Instruments, 91(4), p.043302_1 - 043302_20, 2020/04

 被引用回数:1 パーセンタイル:30.41(Instruments & Instrumentation)

The energy-resolved neutron imaging system, RADEN, has been installed at the pulsed neutron source in the Materials and Life Science Experimental Facility of the Japan Proton Accelerator Research Complex. In addition to conventional neutron radiography and tomography, RADEN, the world's first imaging beam-line at a pulsed neutron source, provides three main options for new, quantitative neutron imaging techniques: Bragg-edge imaging to visualize the spatial distribution of crystallographic information, resonance absorption imaging for elemental composition and temperature information, and polarized neutron imaging for magnetic field information. This paper describes the results of characterization studies of the neutronic performance and installed devices at RADEN and shows the results of several demonstration studies for pulsed neutron imaging.

論文

Successive phase transitions in $$R_{3}$$Ir$$_{4}$$Sn$$_{13}$$ ($$R$$: La and Ce) investigated using neutron and X-ray diffraction

中里 晟也*; 岩佐 和晃*; 橋本 大輔*; 塩澤 真未*; 桑原 慶太郎*; 中尾 裕則*; 佐賀山 基*; 石角 元志*; 大原 高志; 中尾 朗子*; et al.

JPS Conference Proceedings (Internet), 30, p.011128_1 - 011128_6, 2020/03

Successive phase transitions of $$R_{3}$$Ir$$_{4}$$Sn$$_{13}$$ ($$R$$: La and Ce) were studied using neutron and X-ray diffraction techniques. A semimetal Ce$$_{3}$$Ir$$_{4}$$Sn$$_{13}$$ undergoes three phase transitions: an antiferromagnetic ordering characterized by a propagation vector $$q_{rm M}$$ = (1/2, 1/2, 2/5) below 0.6 K, a structural transformation with $$q_{rm S2}$$= (1/4, 1/4, 1/4) at 2.0 K, and another structural transformation with $$q_{rm S1}$$ = (1/2, 1/2, 0) above room temperature. La$$_{3}$$Ir$$_{4}$$Sn$$_{13}$$ was confirmed to be a superconductor below 2.5 K under the $$q_{rm S1}$$ = (1/2, 1/2, 0) structure that also appears above room temperature.

論文

Crystal structure and cation distribution of the X-type hexaferrite Sr$$_{2}$$Co$$_{2}$$Fe$$_{28}$$O$$_{46}$$

駒淵 舞*; 漆原 大典*; 浅香 透*; 福田 功一郎*; 大原 高志; 宗像 孝司*; 石川 喜久*

Journal of the Physical Society of Japan, 89(3), p.034601_1 - 034601_5, 2020/03

 被引用回数:0 パーセンタイル:100(Physics, Multidisciplinary)

The crystal structure of an X-type hexaferrite Sr$$_{2}$$Co$$_{2}$$Fe$$_{28}$$O$$_{46}$$ was investigated by the X-ray and neutron diffraction methods for a single crystal. Sr$$_{2}$$Co$$_{2}$$Fe$$_{28}$$O$$_{46}$$ has the crystal structure described as a space group $$Roverline{3}m$$ ($$Z = 3$$) and its lattice constants are $$a$$ = 5.9165(2) ${AA}$; and $$c$$ = 84.1395(33) ${AA}$; at 843 K. Co ions are almost localized in the octahedral site ($$9d$$) in the middle of S$$^{*}$$S$$^{*}$$ blocks. In addition, the adjacent octahedral and tetrahedral sites to $$9d$$ site contain the significant number of Co$$^{2+}$$.

論文

Multi-step magnetic transitions in EuNiIn$$_4$$

池田 修悟*; 金子 耕士; 田中 佑季*; 川崎 卓郎; 花島 隆泰*; 宗像 孝司*; 中尾 朗子*; 鬼柳 亮嗣; 大原 高志; 望月 健生*; et al.

Journal of the Physical Society of Japan, 89(1), p.014707_1 - 014707_7, 2020/01

 被引用回数:0 パーセンタイル:100(Physics, Multidisciplinary)

Magnetism in EuNiIn$$_4$$ has been studied by specific heat, magnetic susceptibility, magnetization, $$^{151}$$Eu M$"o$ssbauer spectroscopy, and neutron diffraction experiments. The specific heat shows two magnetic transitions at $$T_{rm N1}$$ and $$T_{rm N2}$$ at zero magnetic field. An antiferromagnetic ground state of EuNiIn$$_4$$ has a uniaxial magnetic anisotropy along the b-axis, revealed by the magnetic susceptibility and the M$"o$ssbauer spectroscopy. Single crystal neutron diffraction experiments clarify that this antiferromagnetic structure in the ground state is characterized by the commensurate propagation vector $$q$$ = (1/2, 1/2, 1/2) which reveals no distinct anomaly at $$T_{rm N2}$$. The magnetization curve along the b-axis at 2 K shows four successive magnetic field-induced transitions up to 50 kOe and, reaches 7 $${mu}_{rm B}$$/f.u. above 190 kOe, The magnetic phase diagram in EuNiIn$$_4$$ has unique characteristics with five magnetic states in low magnetic field.

論文

Development of the neutron polarizer for the T-violation search using compound nuclei

奥平 琢也; 奥 隆之; 酒井 健二; 猪野 隆*; 林田 洋寿*; 廣井 孝介; 篠原 武尚; 加倉井 和久*; 相澤 一也; 清水 裕彦*; et al.

Proceedings of Science (Internet), 356, 5 Pages, 2019/12

共通技術開発セクションでは、J-PARC物質・生命科学実験施設の大強度中性子を活用するために、偏極中性子デバイスの一つである$$^{3}$$Heスピンフィルターの開発を行なっている。$$^{3}$$Heスピンフィルターの性能評価の一つの手段に、基礎物理分野での応用・評価があり、基礎物理実験も活用している。現在の物質優勢宇宙を説明するためには時間反転対称性の破れが不可欠であり、世界中で時間反転対称性の破れの探索実験が行われている。その一つに偏極中性子と原子核を使用して対称性の破れを測定する方法があり、J-PARCの大強度中性子を用いた時間反転対称性の破れ探索が計画されている。本計画では1eV程度のエネルギーの高い中性子を偏極するための従来にない巨大な$$^{3}$$Heスピンフィルターを開発する必要があり、原子力機構にて開発が行われている$$^{3}$$Heスピンフィルターの性能評価の良い検証となる。現在、偏極率の精度の良い評価システムや$$^{3}$$Heスピンフィルター製作のための真空システムの構築を行い、熱外中性子偏極のための大型スピンフィルターの開発を継続している。本発表では$$^{3}$$Heスピンフィルターの開発の現状について発表する。

論文

Magnetic, thermal, and neutron diffraction studies of a coordination polymer; bis(glycolato)cobalt(II)

中根 僚宏*; 米山 翔太*; 兒玉 健*; 菊地 耕一*; 中尾 朗子*; 大原 高志; 東中 隆二*; 松田 達磨*; 青木 勇二*; 藤田 渉*

Dalton Transactions (Internet), 48(1), p.333 - 338, 2019/01

 被引用回数:1 パーセンタイル:74.85(Chemistry, Inorganic & Nuclear)

The two-dimensional quadratic lattice magnet, bis(glycolato)cobalt(II) ([Co(HOCH$$_{2}$$CO$$_{2}$$)$$_{2}$$]), showed anti-ferromagnetic ordering at 15.0 K and an abrupt increase in magnetisation at H = 22 600 Oe and 2 K, thereby acting as a metamagnet. Neutron diffraction studies suggested that the magnetic moment vectors of the Co(II) ions had an amplitude of 3.59 mB and were not aligned in a fully antiparallel fashion to those of their neighbours, which caused canting between the magnetic moment vectors in the sheet. The canting angle was determined to be 7.1deg. Canting induced net magnetisation in the sheet, but this magnetisation was cancelled between sheets. The magnetisations in the sheets were oriented parallel to the magnetic field at the critical magnetic field.

論文

Transient ionization of the mesosphere during auroral breakup; Arase satellite and ground-based conjugate observations at Syowa Station

片岡 龍峰*; 西山 尚典*; 田中 良昌*; 門倉 昭*; 内田 ヘルベルト陽仁*; 海老原 祐輔*; 江尻 省*; 冨川 喜弘*; 堤 雅基*; 佐藤 薫*; et al.

Earth, Planets and Space (Internet), 71, p.9_1 - 9_10, 2019/01

 被引用回数:4 パーセンタイル:25.48(Geosciences, Multidisciplinary)

2017年6月30日22時21分から26分(世界時)にかけて、昭和基地にあるPANSYレーダーによってオーロラ爆発時の中間圏における過渡電離が観測された。通常、中間圏における過渡電離は100keV以上の高エネルギー電子が中間圏まで到達することにより引き起こされるが、同時間帯においてあらせ衛星が観測した100keV以上の電子フラックスは有意な上昇を示していなかった。このことから、本イベントは、10keV以下の低エネルギー電子が大量に熱圏に降り注ぐことにより発生したX線による電離であるとの仮説を立てた。この仮説の妥当性を検証するため、粒子・重イオン挙動解析コードPHITSを用いて様々なエネルギースペクトルを持つ電子が大気上空に進入した場合の電離分布を計算した。その結果、10keV以下の電子でも中間圏において十分な電離を引き起こすことが可能であることが分かり、仮説の妥当性が証明された。

論文

Unique helical magnetic order and field-induced phase in trillium lattice antiferromagnet EuPtSi

金子 耕士; Frontzek, M. D.*; 松田 雅昌*; 中尾 朗子*; 宗像 孝司*; 大原 高志; 垣花 将司*; 芳賀 芳範; 辺土 正人*; 仲間 隆男*; et al.

Journal of the Physical Society of Japan, 88, p.013702_1 - 013702_5, 2019/01

 被引用回数:14 パーセンタイル:5.05(Physics, Multidisciplinary)

Magnetic transitions in chiral antiferromagnet EuPtSi were investigated by means of single crystal neutron diffraction. In the ground state, magnetic peaks emerge at positions represented by $$q_{1}$$=$$(0.2, 0.3, 0)$$. Upon heating, an additional magnetic peak splitting around 2.5 K was uncovered, indicating a presence of a first-order transition with $$q^*_{1}$$=$$(0.2, 0.3, {delta})$$. An half-polarized neutron scattering for polarization parallel to Q reveled that polarization antiparallel to Q has stronger intensity in both magnetic phases. This feature clarifies single chiral character of helical structure with moments normal to the ordering vector in both ordered states. Under vertical magnetic field along [1,1,1] in the $$A$$ phase, magnetic peaks form hexagonal patterns in the equatorial scattering plane around nuclear. An ordering vector $$q_{A}$$ of the $$A$$-phase has the similar size in the periodicity to $$q_{1}$$, and could be a hallmark of a formation of skyrmion lattice in EuPtSi.

論文

Status of the neutron time-of-flight single-crystal diffraction data-processing software STARGazer

矢野 直峰*; 山田 太郎*; 細谷 孝明*; 大原 高志; 田中 伊知朗*; 新村 信雄*; 日下 勝弘*

Acta Crystallographica Section D; Structural Biology (Internet), 74(11), p.1041 - 1052, 2018/11

 被引用回数:6 パーセンタイル:38.87(Biochemical Research Methods)

STARGazer is a data processing software for neutron time-of-flight (TOF) single-crystal diffraction data collected by the IBARAKI Biological Crystal Diffractometer (iBIX) at the Japan Proton Accelerator Research Complex (J-PARC). This software creates hkl intensity data from three-dimensional (x, y, TOF) diffraction data. STARGazer is composed of both a data processing component and a data visualization component. This article describes the status of data processing software STARGazer and its data processing algorithms.

論文

High oxide-ion conductivity in Si-deficient La$$_{9.565}$$(Si$$_{5.826}$$[]$$_{0.174}$$)O$$_{26}$$ apatite without interstitial oxygens due to the overbonded channel oxygens

藤井 孝太郎*; 八島 正知*; 日比野 圭祐*; 白岩 大裕*; 福田 功一郎*; 中山 享*; 石沢 伸夫*; 花島 隆泰*; 大原 高志

Journal of Materials Chemistry A, 6(23), p.10835 - 10846, 2018/06

 被引用回数:11 パーセンタイル:27.8(Chemistry, Physical)

Apatite-type rare earth silicates are attractive materials with exhaust application such as solid-oxide fuel cells, due to its extremely high oxide-ion conductivity below 600$$^{circ}$$C. Interstitial (excess) oxygens have been believed to be responsible for the high conductivity in apatite-type materials. On the contrary, the present study clearly reveals the presence of Si vacancies [] in La-rich La$$_{9.565}$$(Si$$_{5.826}$$[]]$$_{0.174}$$)O$$_{26}$$ instead of the interstitial oxygens, by single-crystal neutron and X-ray diffraction analyses, density measurements and ${{it ab initio}}$ electronic calculations.

論文

Magnetic-ordering propagation vectors of terbium hexaboride revisited

岩佐 和晃*; 伊賀 文俊*; 茂吉 武人*; 中尾 朗子*; 大原 高志

Journal of the Physical Society of Japan, 87(6), p.064705_1 - 064705_5, 2018/06

 被引用回数:0 パーセンタイル:100(Physics, Multidisciplinary)

The magnetic-ordered state of a single-crystal sample of TbB$$_{6}$$ has been studied with the high-precision neutron diffraction instrument SENJU installed at BL18 of the Materials and Life Science Facility in J-PARC. We observed new Bragg-reflection spots characterized by a propagation vector $$q_{rm M2}$$ = (1/4, 1/4, 0) below the N$'e$el temperature $$T_{rm N}$$ $$approx$$ 20 K, in addition to the $$q_{rm M1}$$ = (1/4, 1/4. 1/2) reported in the previous literatures. Because X-ray Thomson scattering measurements do not detect the $$q_{rm M2}$$ superlattice reflections at 13 K, $$q_{rm M2}$$ is a new magnetic-ordering propagation vector. The magnetic multi-q structure of TbB$$_{6}$$ is similar to that of CeB$$_{6}$$, whereas the ratio of the $$q_{rm M2}$$ amplitude to that of qM1 is smaller than in CeB$$_{6}$$. The combination of $$q_{rm M1}$$ and $$q_{rm M2}$$ is expected to assist the $$q_{rm L1}$$ = (1/2, 0, 0) lattice modulation.

論文

Structure analysis and derivation of deformed electron density distribution of polydiacetylene giant single crystal by the combination of X-ray and neutron diffraction data

田代 孝二*; 日下 勝弘*; 細谷 孝明*; 大原 高志; 塙坂 真*; 吉澤 功徳*; 山元 博子*; 新村 信雄*; 田中 伊知朗*; 栗原 和男*; et al.

Macromolecules, 51(11), p.3911 - 3922, 2018/06

 被引用回数:2 パーセンタイル:80.82(Polymer Science)

The crystal structure of polydiacetylene giant single crystal has been analyzed on the basis of the two different methods of wide-angle neutron diffraction and X-ray diffraction. The X-ray result gives us the total electron density distribution. The neutron result tells the positions of atomic nuclei. As a result, the so-called bonded (or deformed) electron density, i.e., the electron density distribution due to the conjugation among the covalently bonded atoms along the polymer chain, can be estimated using the two information. The present report is the first example of the application of X-N method to the synthetic polymer species.

論文

Mn$$_{2}$$VAl Heusler alloy thin films; Appearance of antiferromagnetism and exchange bias in a layered structure with Fe

土屋 朋生*; 小林 亮太*; 窪田 崇秀*; 斉藤 耕太郎*; 小野 寛太*; 大原 高志; 中尾 朗子*; 高梨 弘毅*

Journal of Physics D; Applied Physics, 51(6), p.065001_1 - 065001_7, 2018/02

 被引用回数:2 パーセンタイル:75.59(Physics, Applied)

Mn$$_{2}$$VAl Heusler alloy films were epitaxially grown on MgO(100) single-crystal substrates by ultra-high-vacuum magnetron sputtering. A2- and L21-type Mn$$_{2}$$VAl order was controlled by the deposition temperature. A2-type Mn$$_{2}$$VAl films showed no spontaneous magnetization, while L21-type Mn$$_{2}$$VAl films showed ferrimagnetic behaviour with a maximum saturation magnetization of 220 emu/cm$$^{3}$$ at room temperature (RT). An antiferromagnetic reflection was observed with neutron diffraction at RT for an A2-type Mn$$_{2}$$VAl film deposited at 400$$^{circ}$$C. A bilayer sample of the antiferromagnetic A2-type Mn$$_{2}$$VAl and Fe showed an exchange bias of 120 Oe at 10 K.

論文

Neutron scattering study of yttrium iron garnet

社本 真一; 伊藤 孝; 大西 弘明; 山内 宏樹; 稲村 泰弘; 松浦 直人*; 赤津 光洋*; 樹神 克明; 中尾 朗子*; 茂吉 武人*; et al.

Physical Review B, 97(5), p.054429_1 - 054429_9, 2018/02

 被引用回数:5 パーセンタイル:47.75(Materials Science, Multidisciplinary)

イットリウム鉄ガーネットの核および磁気構造と全マグノン分散を中性子散乱により調べた。低エネルギーの分散は強磁性マグノンで期待されるように14meVまで2次関数の分散を示した。$$q$$積分した動的磁化率$$chi$$"($$E$$)の虚部は低エネルギーで平方根のエネルギー依存性を示した。$$chi$$"($$E$$)から絶対値でマグノン状態密度を求めた。その値は理論的に予想されるマグノン分散でひとつのカラリティーモードに対応する。

論文

Inverse pole figure mapping of bulk crystalline grains in a polycrystalline steel plate by pulsed neutron Bragg-dip transmission imaging

佐藤 博隆*; 塩田 佳徳*; 諸岡 聡; 戸高 義一*; 足立 望*; 定松 直*; 及川 健一; 原田 正英; Zhang, S.*; Su, Y.; et al.

Journal of Applied Crystallography, 50(6), p.1601 - 1610, 2017/12

 被引用回数:8 パーセンタイル:28.93(Chemistry, Multidisciplinary)

A new mapping procedure for polycrystals using neutron Bragg-dip transmission is presented. This is expected to be useful as a new materials characterization tool which can simultaneously map the crystallographic direction of grains parallel to the incident beam. The method potentially has a higher spatial resolution than neutron diffraction imaging. As a demonstration, a Bragg-dip neutron transmission experiment was conducted at J-PARC on beamline MLF BL10 NOBORU. A large-grained Si-steel plate was used. Since this specimen included multiple grains along the neutron beam transmission path, it was a challenging task for existing methods to analyze the direction of the crystal lattice of each grain. A new data-analysis method for Bragg-dip transmission measurements was developed based on database matching. As a result, the number of grains and their crystallographic direction along the neutron transmission path have been determined.

論文

Materials and Life Science Experimental Facility (MLF) at the Japan Proton Accelerator Research Complex, 2; Neutron scattering instruments

中島 健次; 川北 至信; 伊藤 晋一*; 阿部 淳*; 相澤 一也; 青木 裕之; 遠藤 仁*; 藤田 全基*; 舟越 賢一*; Gong, W.*; et al.

Quantum Beam Science (Internet), 1(3), p.9_1 - 9_59, 2017/12

J-PARC物質・生命科学実験施設の中性子実験装置についてのレビューである。物質・生命科学実験施設には23の中性子ビームポートがあり21台の装置が設置されている。それらは、J-PARCの高性能な中性子源と最新の技術を組み合わせた世界屈指の実験装置群である。このレビューでは、装置性能や典型的な成果等について概観する。

論文

Quantum twin spectra in nanocrystalline silicon

松本 貴裕*; 大原 高志; 杉本 秀彦*; Bennington, S. M.*; 池田 進*

Physical Review Materials (Internet), 1(5), p.051601_1 - 051601_6, 2017/10

 被引用回数:0 パーセンタイル:100(Materials Science, Multidisciplinary)

We identified twin split scattering spectra in hydrogen-terminated nanocrystalline silicon by using inelastic neutron scattering spectroscopy. A standard theoretical analysis based on the localized wave function of hydrogen in not sufficient to explain this duality. We show that this duality originates from the cooperative motion of hydrogen and silicon.

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