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論文

Gradient residual strain measurement procedure in surface impacted railway steel axles by using neutron scattering

Zhou, L.*; Zhang, H.*; Qin, T. Y.*; Hu, F. F.*; 徐 平光; Ao, N.*; Su, Y. H.; He, L. H.*; Li, X. H.*; Zhang, J. R.*; et al.

Metallurgical and Materials Transactions A, 11 Pages, 2024/00

 被引用回数:0

High-speed railway S38C axles undergo surface induction hardening for durability, but are susceptible to fatigue cracks from foreign object impact. The neutron diffraction method was employed to measure the residual strain in S38C axles, obtaining microscopic lattice distortion data, for the gradient layer at a depth of 8 mm under the surface. The results showed that after induction-hardening, the microscopic lattice distortion had a gradient distribution, decreasing with the distance from the surface. However, in the case of impacting speed of 600 km/m, the average microscopic lattice distortion increased with the distance from the surface, reaching a maximum augmentation of 55 pct. These findings indicate a strong experimental basis, and improve our understanding of the relationship between macroscopic residual stress and decision-making, in regard to operation and maintenance.

論文

Multiple mechanisms in proton-induced nucleon removal at $$sim$$100 MeV/nucleon

Pohl, T.*; Sun, Y. L.*; Obertelli, A.*; Lee, J.*; G$'o$mez-Ramos, M.*; 緒方 一介*; 吉田 数貴; Cai, B. S.*; Yuan, C. X.*; Brown, B. A.*; et al.

Physical Review Letters, 130(17), p.172501_1 - 172501_8, 2023/04

 被引用回数:5 パーセンタイル:92.42(Physics, Multidisciplinary)

大きなフェルミ面非対称性を持つ陽子過剰な$$^{14}$$O原子核からの100MeV/nucleonでの陽子による陽子・中性子除去反応について報告した。この結果は、quasi-freeノックアウト反応、非弾性散乱、核子移行反応を含む複数の反応機構の定量的寄与を初めて示すものである。このようなエネルギー領域では通常無視される非弾性散乱と核子移行の寄与が、弱束縛陽子と強束縛中性子の除去反応断面積にそれぞれ約50%と30%寄与していることが示された。

論文

Corrosion fatigue crack growth behavior of a structurally gradient steel for high-speed railway axles

Ao, N.*; Zhang, H.*; Xu, H. H.*; Wu, S. C.*; Liu, D.*; 徐 平光; Su, Y. H.; Kang, Q. H.*; Kang, G. Z.*

Engineering Fracture Mechanics, 281, p.109166_1 - 109166_14, 2023/03

 被引用回数:4 パーセンタイル:85.05(Mechanics)

Considering the complex service environments that high-speed railway axles are subjected to, the fatigue crack growth (FCG) behavior of a structurally gradient axle steel with different pre-crack depths both in air and corrosive medium was investigated at a frequency of 5 Hz. The results indicated that in the high $$Delta$$$$K$$ region, FCG rate was dramatically accelerated by corrosion, but the gap narrows as $$Delta$$$$K$$ decreased. The accelerated corrosion FCG rate was a comprehensive result of the acceleration effect of the anodic dissolution, hydrogen-enhanced localized plasticity and the retardation effect of corrosion-induced crack-tip blunting. Despite the fact that the corrosion resistance gradually decreased as the pre-crack depth increased, the FCG rate in the corrosive medium gradually decreased. This was because fatigue loading played a more important role than corrosion in accelerating the corrosion FCG rate.

論文

A Quantitative method of eutectic reaction study between boron carbide and stainless steel

Hong, Z.*; Pellegrini, M.*; Erkan, N.*; Liao, H.*; Yang, H.*; 山野 秀将; 岡本 孝司*

Annals of Nuclear Energy, 180, p.109462_1 - 109462_9, 2023/01

 被引用回数:0 パーセンタイル:0.01(Nuclear Science & Technology)

実機制御棒の模擬材として、B$$_{4}$$C材とSUS304を用いて一連の実験を実施した。1450K-1500Kの温度範囲で共晶反応速度定数を得た結果、本研究で得られた反応速度定数は参照値と一致した。また、反応面の微細構造を観察し、組成分析を行った。

論文

Fatigue crack non-propagation behavior of a gradient steel structure from induction hardened railway axles

Zhang, H.*; Wu, S. C.*; Ao, N.*; Zhang, J. W.*; Li, H.*; Zhou, L.*; 徐 平光; Su, Y. H.

International Journal of Fatigue, 166, p.107296_1 - 107296_11, 2023/01

 被引用回数:4 パーセンタイル:61.91(Engineering, Mechanical)

Abnormal damages in railway axles can lead to a significant hazard to running safety and reliability. To this end, a surface treatment was selected to effectively inhibit fatigue crack initiation and growth. In this study, a single edge notch bending fatigue test campaign with artificial notches was conducted to elucidate the fatigue crack non-propagation behavior in railway S38C axles subjected to an induction hardening process. The fatigue cracking behavior in the gradient structure was revealed by optical microscopy, electron backscatter diffraction, and fractography. The microhardness distribution was measured using a Vickers tester. The obtained results show that the microhardness of the strengthening layer is nearly triple that of the matrix. Owing to the gradient microstructures and hardness, as well as compressive residual stress, the fatigue long crack propagates faster once it passes through the hardened zone (approximately 2.0 mm in the radial depth). Thereafter, local retarding (including deflection, branching, and blunting) of the long crack occurs because of the relatively coarse ferrite and pearlite in the transition region and matrix. Totally, this fatigue cracking resistance is reasonably believed to be due to the gradient microstructure and residual stress. These findings help to tailor a suitable detection strategy for maximum defects or cracks in railway axles.

論文

Recent improvements of the Particle and Heavy Ion Transport code System; PHITS version 3.33

佐藤 達彦; 岩元 洋介; 橋本 慎太郎; 小川 達彦; 古田 琢哉; 安部 晋一郎; 甲斐 健師; 松谷 悠佑; 松田 規宏; 平田 悠歩; et al.

Journal of Nuclear Science and Technology, 9 Pages, 2023/00

 被引用回数:5 パーセンタイル:98.08(Nuclear Science & Technology)

放射線挙動解析コードPHITSは、モンテカルロ法に基づいてほぼ全ての放射線の挙動を解析することができる。その最新版であるPHITS version 3.31を開発し公開した。最新版では、高エネルギー核データに対する親和性や飛跡構造解析アルゴリズムなどが改良されている。また、PHIG-3DやRT-PHITSなど、パッケージに組み込まれた外部ソフトウェアも充実している。本論文では、2017年にリリースされたPHITS3.02以降に導入された新しい機能について説明する。

論文

New $$K$$ isomers in $$^{248}$$Cf

Orlandi, R.; 牧井 宏之; 西尾 勝久; 廣瀬 健太郎; 浅井 雅人; 塚田 和明; 佐藤 哲也; 伊藤 由太; 洲嵜 ふみ; 永目 諭一郎*; et al.

Physical Review C, 106(6), p.064301_1 - 064301_11, 2022/12

 被引用回数:1 パーセンタイル:33.4(Physics, Nuclear)

The nuclear structure of $$^{248}$$Cf produced by the $$^{18}$$O+$$^{249}$$Cf multinucleon transfer reaction was investigated using $$gamma$$-ray spectroscopy. Analysis of the $$gamma$$-ray spectrum of $$^{248}$$Cf revealed the presence of multiple long-lived (isomeric) excited states at low excitation energies. The energies and half-lives of the isomers contain information on the proton and neutron orbits in the heavy-element region and the deformation of atomic nuclei, and are important data to predict the properties of nuclei in the "island of stability".

論文

$$beta^-$$ decay of exotic P and S isotopes with neutron number near 28

Tripathi, V.*; Bhattacharya, S.*; Rubino, E.*; Benetti, C.*; Perello, J. F.*; Tabor, S. L.*; Liddick, S. N.*; Bender, P. C.*; Carpenter, M. P.*; Carroll, J. J.*; et al.

Physical Review C, 106(6), p.064314_1 - 064314_14, 2022/12

 被引用回数:2 パーセンタイル:52.69(Physics, Nuclear)

ミシガン州立大学の国立超伝導サイクロトロン研究所にて、中性子過剰なリン、硫黄同位体を生成し、そこからのベータ崩壊半減期および娘核の励起準位を測定した。$$^{42}$$Pの崩壊によって得られるエネルギー準位から、この原子核の基底状態は$$2^-$$あるいは$$3^-$$であることが示唆された。中性子数が偶数の硫黄同位体からの崩壊様式を系統的に調べた結果、中性子数が増えるにつれてガモフテラー遷移強度の大きな準位の励起エネルギーが高くなることがわかった。これは、大規模殻模型計算によって予言されている現象に一致する。

論文

Two-dimensional quantum universality in the spin-1/2 triangular-lattice quantum antiferromagnet Na$$_{2}$$BaCo(PO$$_{4}$$)$$_{2}$$

Sheng, J.*; Wang, L.*; Candini, A.*; Jiang, W.*; Huang, L.*; Xi, B.*; Zhao, J.*; Ge, H.*; Zhao, N.*; Fu, Y.*; et al.

Proceedings of the National Academy of Sciences of the United States of America, 119(51), p.e2211193119_1 - e2211193119_9, 2022/12

 被引用回数:3 パーセンタイル:28(Multidisciplinary Sciences)

Although considerable progress has been made in the theoretical understanding of the low-dimensional frustrated quantum magnets, experimental realizations of a well-established scaling analysis are still scarce. This is particularly true for the two-dimensional antiferromagnetic triangular lattices. Owing to the small exchange strength, the newly discovered compound Na$$_{2}$$BaCo(PO$$_{4}$$)$$_{2}$$ provides a rare opportunity for clarifying the quantum criticality in an ideal triangular lattice with quantum spin S=1/2. In addition to the establishment of the complete phase diagrams, the spin Hamiltonian with a negligible interplane interaction has been determined through the spin wave dispersion in the polarized state, which is consistent with the observation of a two-dimensional quantum critical point with the Bose-Einstein condensation of diluted free bosons.

論文

Competition between allowed and first-forbidden $$beta$$ decays of $$^{208}$$At and expansion of the $$^{208}$$Po level scheme

Brunet, M.*; Podoly$'a$k, Zs.*; Berry, T. A.*; Brown, B. A.*; Carroll, R. J.*; Lica, R.*; Sotty, Ch.*; Andreyev, A. N.; Borge, M. J. G.*; Cubiss, J. G.*; et al.

Physical Review C, 103(5), p.054327_1 - 054327_13, 2021/05

 被引用回数:4 パーセンタイル:57.13(Physics, Nuclear)

The structure of $$^{208}$$Po populated through the EC/$$beta^{+}$$ decay of $$^{208}$$At is investigated using $$gamma$$-ray spectroscopy at the ISOLDE Decay Station. The presented level scheme contains 27 new excited states and 43 new transitions, as well as a further 50 previously observed $$gamma$$ rays which have been (re)assigned a position. Through the analysis using the shell model calculations approximately half of the $$beta$$-decay strength of $$^{208}$$At is found to proceed via allowed decay and half via first-forbidden decay. The first-forbidden transitions predominantly populate core excited states at high excitation energies, which is qualitatively understood using shell model considerations.

論文

Suppressed lattice disorder for large emission enhancement and structural robustness in hybrid lead iodide perovskite discovered by high-pressure isotope effect

Kong, L.*; Gong, J.*; Hu, Q.*; Capitani, F.*; Celeste, A.*; 服部 高典; 佐野 亜沙美; Li, N.*; Yang, W.*; Liu, G.*; et al.

Advanced Functional Materials, 31(9), p.2009131_1 - 2009131_12, 2021/02

 被引用回数:22 パーセンタイル:80.38(Chemistry, Multidisciplinary)

有機-無機ハロゲン化物ペロブスカイトは非常に柔らかいために、圧力などの外部刺激により格子定数を容易に変化させることができ、有用な光電特性を引き出すのに有効である。一方でこの特性は、多少の加圧でも、格子を歪ませてしまい、光と物質の相互作用を弱め、それによる性能の低下を引き起こす。そこで本研究では、代表的な物質であるヨウ化メチルアンモニウム鉛に対して圧力効果および同位体効果を調べ、それらが格子歪を抑制することが分かった。このことは、それらが、これまで得られなかったような光学的,機械的特性を持つ物質を得る手段として有効であることを示している。

論文

Fine structure in the $$alpha$$ decay of $$^{223}$$U

Sun, M. D.*; Liu, Z.*; Huang, T. H.*; Zhang, W. Q.*; Andreyev, A. N.; Ding, B.*; Wang, J. G.*; Liu, X. Y.*; Lu, H. Y.*; Hou, D. S.*; et al.

Physics Letters B, 800, p.135096_1 - 135096_5, 2020/01

 被引用回数:11 パーセンタイル:79.42(Astronomy & Astrophysics)

Fine structure in the $$alpha$$ decay of $$^{223}$$U was observed in the fusion-evaporation reaction $$^{187}$$Re($$^{40}$$Ar,p3n) by using fast digital pulse processing technique. Two $$alpha$$-decay branches of $$^{223}$$U feeding the ground state and 244 keV excited state of $$^{219}$$Th were identified by establishing the decay chain $$^{223}$$U$$rightarrow$$$$^{219}$$Th$$rightarrow$$$$^{215}$$Ra$$rightarrow$$$$^{211}$$Rn. The $$alpha$$-particle energy for the ground-state to ground-state transition of $$^{223}$$U was determined to be 8993(17) keV, 213 keV higher than the previous value, the half-life was updated to be 62$$^{+14}_{-10} mu$$s. Evolution of nuclear structure for $$N$$=131 even-$$Z$$ isotones from Po to U was discussed in the frameworks of nuclear mass and reduced $$alpha$$-decay width, a weakening octupole deformation in the ground state of $$^{223}$$U relative to its lighter isotones $$^{219}$$Ra and $$^{211}$$Th was suggested.

論文

Search for $$alpha$$ decay of $$^{104}$$Te with a novel recoil-decay scintillation detector

Xiao, Y.*; Go, S.*; Grzywacz, R.*; Orlandi, R.; Andreyev, A. N.; 浅井 雅人; Bentley, M. A.*; de Angelis, G.*; Gross, C. J.*; Hausladen, P.*; et al.

Physical Review C, 100(3), p.034315_1 - 034315_8, 2019/09

 被引用回数:16 パーセンタイル:84.48(Physics, Nuclear)

A search for super-allowed $$alpha$$ decay of N=Z nuclei $$^{104}$$Te and $$^{108}$$Xe was carried out using a novel recoil-decay scintillator detector at the tandem accelerator facility at Japan Atomic Energy Agency. Inorganic crystal scintillation material of YAP:Ce (Yttrium Aluminium Perovskite) coupled to position-sensitive photo-multiplier tube (PSPMT) was implemented for the first time in a radioactive decay experiment. Residues from the fusion-evaporation reaction $$^{58}$$Ni+$$^{54}$$Fe$$rightarrow$$ $$^{112}$$Xe$$^*$$ were separated by the JAEA Recoil Mass Separator (RMS) and implanted into the YAP:Ce crystal. $$alpha$$ decays of neutron-deficient tellurium isotopes were identified and proton-emission of $$^{109}$$I was observed. No conclusive evidence was found for the decay chain $$^{108}$$Xe$$rightarrow$$$$^{104}$$Te$$rightarrow$$ $$^{100}$$Sn within 3 days experiment. The cross section limit of 130 pb was obtained for production of two events of $$^{108}$$Xe, about an order of magnitude below the expectation based on earlier cross section measurements and HIVAP calculations.

論文

Nature of dynamic ferrite transformation revealed by ${it in-situ}$ neutron diffraction analysis during thermomechanical processing

柴田 曉伸*; 竹田 泰成*; Park, N.*; Zhao, L.*; Harjo, S.; 川崎 卓郎; Gong, W.*; 辻 伸泰*

Scripta Materialia, 165, p.44 - 49, 2019/05

 被引用回数:29 パーセンタイル:85.46(Nanoscience & Nanotechnology)

Nowadays, a new concept of process utilizing dynamic ferrite transformation, which can achieve ultrafine-grained structure with a mean grain size of approximately 1$$mu$$m, has been proposed. This paper reports transformation mode of dynamic ferrite transformation and formation mechanism of ultrafine-grained structure revealed by our novel technique of ${it in-situ}$ neutron diffraction analysis during thermomechanical processing. Dynamic ferrite transformation occurs in a diffusional manner, whose partitioning behavior changes from para- to ortho-equilibrium with the progress of transformation. Moreover, we propose that dynamic recrystallization of dynamically-transformed ferrite is the main mechanism for the formation of ultrafine-grained structure.

論文

Pressure-induced Diels-Alder reactions in C$$_{6}$$H$$_{6}$$ - C$$_{6}$$F$$_{6}$$ cocrystal towards graphane structure

Wang, Y.*; Dong, X.*; Tang, X.*; Zheng, H.*; Li, K.*; Lin, X.*; Fang, L.*; Sun, G.*; Chen, X.*; Xie, L.*; et al.

Angewandte Chemie; International Edition, 58(5), p.1468 - 1473, 2019/01

 被引用回数:35 パーセンタイル:80.07(Chemistry, Multidisciplinary)

芳香族の圧力誘起重合反応(PIP)は、sp$$^{3}$$炭素骨格を構築するための新しい方法であり、ベンゼンとその誘導体を圧縮することによってダイヤモンド様構造を有するナノスレッドを合成した。ここで、ベンゼン-ヘキサフルオロベンゼン共結晶(CHCF)を圧縮することにより、PIP生成物中に層状構造を有するH-F置換グラフェンを同定した。その場中性子回折から決定された結晶構造およびガスクロマトグラフィー質量スペクトルによって同定された中間生成物に基づいて、20GPaでは、CHCFがベンゼンおよびヘキサフルオロベンゼンを交互に積み重ねた傾斜カラムを形成し、それらが[4+2]重合体に転化し、次いで、短距離秩序を持つ水素化フッ素化グラフェンに変化する。反応プロセスは[4+2]ディールス-アルダー, レトロディールス-アルダー、および1-1'カップリング反応を含み、前者はPIPの重要な反応である。われわれの研究は、CHCFの素反応を初めて確認した。これは、芳香族化合物のPIPについての新しい見方を提供する。

論文

Model intercomparison of atmospheric $$^{137}$$Cs from the Fukushima Daiichi Nuclear Power Plant accident; Simulations based on identical input data

佐藤 陽祐*; 滝川 雅之*; 関山 剛*; 梶野 瑞王*; 寺田 宏明; 永井 晴康; 近藤 裕昭*; 打田 純也*; 五藤 大輔*; Qu$'e$lo, D.*; et al.

Journal of Geophysical Research; Atmospheres, 123(20), p.11748 - 11765, 2018/10

 被引用回数:40 パーセンタイル:85.28(Meteorology & Atmospheric Sciences)

福島第一原子力発電所事故により放出された$$^{137}$$Csの大気中の挙動を理解するため、大気拡散モデル相互比較が実施され、12モデルが参加した。モデルで考慮される過程に起因するモデル間の差異に焦点を当てた解析を行うため、全モデルで同じ気象場、水平分解能、及び放出源情報が使用された。モデルアンサンブルによる観測された大気中$$^{137}$$Cs濃度上昇イベントの捕捉率は40%であり、FMSは80を超えた。解析の結果、大気中$$^{137}$$Cs濃度上昇イベントの再現には気象場が最も重要な要素であり、気象場の再現性が高い場合のモデル間の差異は、沈着及び拡散過程に起因していることが分かった。また、沈着フラックスが小さいモデル及び拡散が強いモデルは高い性能を示したが、拡散が強いモデルは大気中$$^{137}$$Cs濃度を過大評価する傾向を示した。

論文

Uniaxial pressure effect on the magnetic ordered moment and transition temperatures in BaFe$$_{2-x}$$T$$_{x}$$As$$_{2}$$ ($$T$$ = Co,Ni)

Tam, D. M.*; Song, Y.*; Man, H.*; Cheung, S. C.*; Yin, Z.*; Lu, X.*; Wang, W.*; Frandsen, B. A.*; Liu, L.*; Gong, Z.*; et al.

Physical Review B, 95(6), p.060505_1 - 060505_6, 2017/02

 被引用回数:23 パーセンタイル:71.49(Materials Science, Multidisciplinary)

We use neutron diffraction and muon spin relaxation to study the effect of in-plane uniaxial pressure on the antiferromagnetic (AF) orthorhombic phase in BaFe$$_{2-x}$$T$$_{x}$$As$$_{2}$$ and its Co- and Ni-substituted members near optimal superconductivity. In the low-temperature AF ordered state, uniaxial pressure necessary to detwin the orthorhombic crystals also increases the magnetic ordered moment, reaching an 11% increase under 40 MPa for BaFe$$_{1.9}$$Co$$_{0.1}$$As$$_2$$, and a 15% increase for BaFe$$_{1.915}$$Ni$$_{0.085}$$As$$_2$$. We also observe an increase of the AF ordering temperature ($$T_N$$) of about 0.25 K/MPa in all compounds, consistent with density functional theory calculations that reveal better Fermi surface nesting for itinerant electrons under uniaxial pressure. The doping dependence of the magnetic ordered moment is captured by combining dynamical mean field theory with density functional theory, suggesting that the pressure-induced moment increase near optimal superconductivity is closely related to quantum fluctuations and the nearby electronic nematic phase.

論文

Phase behavior and Li$$^{+}$$ ion conductivity of styrene-ethylene oxide multiblock copolymer electrolytes

Sarapas, J. M.*; 西条 賢次*; Zhao, Y.; 竹中 幹人*; Tew, G. N.*

Polymers for Advanced Technologies, 27(7), p.946 - 954, 2016/07

 被引用回数:10 パーセンタイル:36.08(Polymer Science)

A molecular weight series of PS-PEO multiblock copolymers was synthesized by the thiol-norbornene click reaction. These materials were characterized both as neat and lithium $$bis$$-trifluorosulfonimide salt loading samples. The neat samples demonstrated the crystallinity increases with PEO contents. The lithium ion-containing samples had broad scattering peaks, half of which displayed disordered scattering. Fitting of disordered scattering peaks by the random phase approximation, yielded the effective Flory-huggins parameter ($$chi$$$$_{RPA}$$) and radius of gyration ($$R$$$$_{g}$$) values that were compared to recent predictive works by Balsara and coworkers. The samples were also analyzed by electrochemical impedance spectroscopy for their potential to conduct lithium ions and those with the volume fraction of PEO larger than 0.5 demonstrated robust conductivity.

論文

Elucidation of the morphology of the hydrocarbon multi-block copolymer electrolyte membranes for proton exchange fuel cells

Zhao, Y.; 吉田 実留*; 大島 竜也*; 小泉 智*; 陸川 政弘*; Szekely, N.*; Radulescu, A.*; Richter, D.*

Polymer, 86, p.157 - 167, 2016/03

 被引用回数:13 パーセンタイル:44.52(Polymer Science)

We investigated the structure and the swelling behavior of two synthesized hydrocarbon polymer electrolyte membranes, made of multiblock copolymer poly(sulphonate phenylene)-b-poly(arylene ether ketone) with different block ratios, by using small-angle neutron scattering technique. A scattering maximum (ionomer peak) at high-q range is shown commonly in both dry and wet states, with q being the magnitude of the scattering vector, while it shifts towards low-q region in the wet state due to the swelling of the ionomer domains with water. The swelling effect also results to a second scattering maximum in the middle-q range because of the water-induced microphase separation. The morphology in this q-range was elucidated in terms of Hard-Sphere model with Percus-Yervick interference approximation.

論文

Magnetoelectric coupling in the honeycomb antiferromagnet Co$$_{4}$$Nb$$_{2}$$O$$_{9}$$

Khanh, N. D.*; 阿部 伸行*; 佐賀山 基*; 中尾 朗子*; 花島 隆泰*; 鬼柳 亮嗣; 徳永 祐介*; 有馬 孝尚*

Physical Review B, 93(7), p.075117_1 - 075117_6, 2016/02

 被引用回数:99 パーセンタイル:95.15(Materials Science, Multidisciplinary)

The magnetic structure and magnetoelectric effect have been investigated for single crystals of the antiferromagnet Co$$_{4}$$Nb$$_{2}$$O$$_{9}$$. Single-crystal neutron diffraction and magnetic susceptibility measurement have revealed that the magnetic structure is different from a collinear arrangement with spin parallel to the trigonal axis as proposed previously. Co$$^{2+}$$ magnetic moments are found to be almost lying in the basal plane, which lowers the magnetic symmetry to $$C2/c'$$ with the propagation vector $$k$$ = 0. Associated with the magnetic phase transition, a sharp anomaly in the dielectric constant and displacement current indicate the appearance of the magnetoelectric below Neel temperature TN with a large coupling constant up to 30 ps/m. The existence of off-diagonal components in a magnetoelectric tensor indicate the formation of ferrotoroidic order in Co$$_{4}$$Nb$$_{2}$$O$$_{9}$$. Such a magnetoelectric effect can be ascribed to the reduction of symmetry caused by simple antiferromagnetic order in a honeycomb network.

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