• 제목/요약/키워드: Jahn-Teller distortion

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Lattice Deformation and Electronic Structure of the $C_{60}{^+}$ Cation

  • 이기학;이한명;전희자;박성수;이왕로;Park, T. Y.;Xin Sun
    • Bulletin of the Korean Chemical Society
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    • 제17권5호
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    • pp.452-457
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    • 1996
  • The effects caused by the ionization on the electronic structure and geometry on C60 are studied by the modified Su-Schriffer-Heeger (SSH) model Hamiltonian. After the ionization of C60, the bond structure of the singly charged C60 cation is deformed from Ih symmetry of the neutral C60 to D5d, C1, and C2, which is dependent upon the change of the electron-phonon coupling strength. The electronic structure of the C60+ cation ground state undergoes Jahn-Teller distortion in the weak electron-phonon coupling region, while self-localized states occur in the intermediate electron-phonon region, but delocalized electronic states appear again in the strong electron-phonon region. In the realistic strength of the electron-phonon coupling in C60, the bond structure of C60+ shows the layer structure of the bond distortion and a polaron-like state is formed.

니켈 치환된 스피넬 LiMn2O4 박막의 구조적, 광학적 성질 (Structural and optical properties of Ni-substituted spinel $LiMn_2O_4$ thin films)

  • 이중한;김광주
    • 한국진공학회지
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    • 제15권5호
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    • pp.527-533
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    • 2006
  • 졸-겔(sol-gel) 방법을 이용하여 스피넬(spinel) 구조를 가지는 $LiNi_xMn_{2-x}O_4$ 박막을 x = 0.9까지 합성하였다. 니켈 치환된 박막은 작은 x 값에서는 cubic 구조가 유지되지만, $x{\geq}0.6$ 범위에서는 tetragonal 구조로 상전이가 일어남이 발견되었다. 이와 같은 cubic-tetragonal 상전이는 low-spin $(t_{2g}^6,e_g^1)$ 상태를 가지는 $N^{3+}(d^7)$ 이온이 팔면체 자리를 차지하게 됨으로써 나타나는 Jahn-Teller 효과에 의한 것으로 해석된다. 이와 같은 Ni 이온들은 +3 및 +2의 원자가를 가지고 존재함이 X-ray photoelectron spectroscopy 분석을 통하여 확인되었다. $LiNi_xMn_{2-x}O_4$ 박막들에 대하여 가시광선-자외선 영역에서 spectroscopic ellipsometry(SE)를 이용하여 광학적 성질을 조사하였고, 그 결과 분석을 통하여 화합물 전자구조에 대하여 고찰하였다. SE 측정된 유전함수 스펙트럼은 주로 전하이동(charge-transfer, CT) 전이(transition)에 의한 넓은 에너지 영역을 가지는 1.9, 2.3, $2.8{\sim}3.0$, $3.4{sim}3.6eV$ 근처의 흡수구조 들로 이루어져 있는데, $O^{2-}$에서 $Mn^{4+}$ 이온의 $t_{2g}$ (1.9 eV)와 $e_g$ $(2.8{\sim}3.0\;eV)$로의 전이 즉, $O^{2-}(2p){\rightarrow}Mn^{4+}(3d)$$O^{2-}$에서 $Mn^{3+}$ 이온의 $t_{2g}$ (2.3 eV)와 $e_g$ ($3.4{\sim}3.6$ eV)로의 전이 즉, $O^{2-}(2p){\rightarrow}Mn^{3+}(3d)$ 등에 의한 것으로 해석된다. 또한, 1.6, 1.8, 1.9 eV 부근에서 관측된 좁은 에너지 영역의 흡수구조 들은 팔면체 $Mn^{3+}$ 이온 내에서의 d-d 결정장(crystal-field) 전이에 의한 것으로 해석된다. 이러한 흡수구조는 Ni 치환량이 증가함에 따라 그 강도가 감소한다. x = 0.6의 경우 $e_g$ 상태와 관련된 CT 전이구조 들이 $t_{2g}$ 상태와 관련된 전이구조 들에 비하여 큰 폭으로 감소하는데 이것은 Jahn-Teller 효과에 의해서 격자상수가 tetragonal 구조로 확장됨에 따라 $e_g$ 상태와 $O^{2-}(2p)$ 상태 간의 파동함수 중첩이 감소한 것에 기인하는 것으로 해석된다.

Influence of Jahn-Teller Distortion on the Magnetic Coupling in Oxalato-Bridged Copper(II) Dimers: An Orbital Interpretation of the Superexchange Mechanism

  • Kang, Dae-Bok
    • Bulletin of the Korean Chemical Society
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    • 제26권12호
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    • pp.1965-1968
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    • 2005
  • Extended H$\ddot{u}$ckel molecular calculations have been used to analyze how the magnitude of exchange coupling is influenced by the structural distortions in a series of dinuclear six-coordinate copper(II) complexes bridged by the planar bis-bidentate oxalate anion. Copper(II) ions have distorted octahedral surroundings, one being axially elongated and the other compressed. The magnetic interaction is strong in the former complexes and very weak in the latter. This is interpreted as resulting from a switching of magnetic spin orbitals due to the structural distortions (bond elongation or compression) of the copper sites.

Bonding and Electronic Considerations in the Apex Bridged $M_2(OR)_6L_x(\mu-X)$ Complexes (M = Mo ; R = -t-Bu, -i-Pr ; L = Py ; x = 0 or 2 ; X = CO, SO$_2$, HCCH, H, and Cl)

  • Ko, Jae-Jung
    • Bulletin of the Korean Chemical Society
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    • 제9권3호
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    • pp.121-126
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    • 1988
  • The molecular interaction of $Mo_2(OR)_4({\mu}-OR)_2$$ unit has been studied for carbonyl and acetylene ligands by means of extended Huckel calculations. We have extended the extended Hckel calculations to unknown apex bridged $Mo_2(OR)_6({\mu}-X)$ complexes (X = $SO_2$H, and Cl) in order to compare the stability of the complexes. In the $C_2H_2$and H apex bridged complexes, one finds a relatively small HOMO-LUMO gap. However, both complexes are stabilized due to Jahn-Teller distortion. The stability of both complexes is comparable to that of $Mo_2(OR)_6(CO)$ complex. The comparisons and predictions in the stability of known and unknown complexes are the subject of this study.

A Molecular Orbital Study of the Electronic Structure and the Ring Inversion Process in$Cp_2TiS_3$ Complex

  • Sung Kwon Kang;Byeong Gak Ahn
    • Bulletin of the Korean Chemical Society
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    • 제15권8호
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    • pp.658-662
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    • 1994
  • Ab initio and extended Huckel calculations have been applied to discuss the electronic structure, ring inversion barrier, and geometry of the $Cp_2TiS_3$ compound. The deformation of four membered ring in the planar geometry is originated from a second-order Jahn-Teller distortion due to the small energy gap between HOMO and LUMO on the basis of extended Huckel calculations. The puckered $C_s$ geometry is stabilized by the interaction of the $x^2-y^2$ metal orbital with the hybrid orbital in sulfur. Ab initio calculations have been carried out to explore the ring inversion process for the model $Cl_2TiS_3$ compound. We have optimized $C_s$ and $C_{2v}$ structures of the model compound at the RHF level. The energy barriers for the ring inversion are sensitive to the used basis set. With 4-31$G^*$ for the Cl and S ligands, the barriers are computed to be 8.41 kcal/mol at MP2 and 8.02 kcal/mol at MP4 level.

소성법에 의한 LiMn2O4의 제조시 반응 온도의 영향과 전기화학적 특성 (The Effect of Reaction Temperature for Synthesis of LiMn2O4 by Calcination Process and the Electrochemical Characteristics)

  • 이철태;이진식;김현중
    • 공업화학
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    • 제9권2호
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    • pp.220-225
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    • 1998
  • 스피넬 구조의 $LiMn_2O_4$$Li_2CO_3$$MnO_2$를 사용하여 $750{\sim}900^{\circ}C$에서 소성해서 합성하였다. 이 때 $850^{\circ}C$에서 12시간 동안 소성할 경우 입방정 구조의 $LiMn_2O_4$가 얻어졌다. 그러나 $900^{\circ}C$에서 소성해서 합성할 경우 산소의 발생으로 인해서 0.06M의 $Mn^{+4}$$Mn^{+3}$로 전이되면서 $LiMn_2O_{3.97}$이 얻어졌다. 이것은 스피넬 구조의 $LiMn_2O_4$에서 octahedral site의 $Mn^{+3}$ 이온의 증가로 인해서 Jahn-Teller distortion이 발생되며, 이로 인해 $3.6{\sim}4.3V_{Li/Li}+$의 전위범위에서 $0.25mA/cm^2$으로 15 cycle 동안 충 방전 실험한 결과 $900^{\circ}C$에서 합성된 스피넬 구조의 $LiMn_2O_4$는 82 mAh/g에서 50 mAh/g으로 용량 감소가 나타났으나 $850^{\circ}C$에서 합성한 $LiMn_2O_4$는 102~64 mAh/g을 유지했다.

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Sol-Gel 법에 의한 LiMn$_2$O$_4$의 합성 및 리튬이차전지용 전극물질로의 특성 (The Synthesis of LiMn$_2$O$_4$by sol-gel method and properties as electrode materials for lithium secondary battery)

  • 이진식;박용성;우제완
    • 한국결정성장학회지
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    • 제10권3호
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    • pp.219-225
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    • 2000
  • 스피넬형의 $LiMn_2$O$_4$는 출발물질로 LiOH와 Mn($CH_3$COO)$_2$.$4H_2$O를 사용하여 졸-겔법으로 합성한 xerogel을 $150^{\circ}C$로 1차 열처리한 후 $350^{\circ}C$로 2차 열처리하여 합성하였다. 그러나 $350^{\circ}C$ 이상으로 열처리할 경우 $Mn_2O_3$가 생겼으며, 이로 인해서 Li/lM $LiClO_4$(in PC)$LiMn_2O_4$cell을 구성하여 0.25 mA/$\textrm{cm}^2$의 전류밀도로 충.방전 실험을 한 결과 $350^{\circ}C$에서 열처리한 것은 15 cycle후에 88 mAh/g에서 56 mAh/g으로 35.7%의 용량감소가 나타났으나 $500^{\circ}C$에서 열처리한 것은 89 mAh/g에 51 mAh/g으로 42.5%의 용량감소가 나타났으며 이는 $Mn^{3+}$ 의 증가로 인한 Jahn-Teller distortion의 결과로 볼 수 있다.

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리튬 2차 전지용 고용량 스피넬계 양극물질 연구 (A study on the Spinel phase cathode materials with high capacity for lithium secondary batteries)

  • 홍기주;선양국
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2001년도 추계학술대회 논문집 전력기술부문
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    • pp.106-108
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    • 2001
  • As 3V cathode material, a new doping spinel material, LiMn1.6Se0.4O4 powder with a phase-pure polycrystalline was synthesized by a sol-gel method. In spite of Jahn-teller distortion in 3V region($2.4{\sim}3.5V$), the LiMn1.6Se0.4O4 electrode shows no capacity loss. The material in the 3V region initially delivers a discharge capacity of 100mAh/g which increase with cycling to reach 105mAh/g after 90cycles. And 5V cathode material LiNi0.5-xMxMn1.5O4(M=Cr, V, Fe) compounds have been synthesized by sol-gel method. a series of electroactive spinel compounds, LiNi0.5-xMxMn1.5O4(M=Cr, V, Fe) has been studied by crystallographic and electrochemical methods. The material presents only one plateau at around 4.5 V vs. Li/Li+ with a large discharge capacity of 152mAh/g and fairly good cyclability.

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Magnetic Properties and Crystalline Transition for the NiCr1.7Fe0.3O4

  • Park, Seung-Iel;Choi, Kang-Ryong;Kouh, Tae-Joon;Kim, Chul-Sung
    • Journal of Magnetics
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    • 제12권4호
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    • pp.137-140
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    • 2007
  • We have studied the temperature dependent magnetic properties and crystalline phase transitionn in small amount Fe doped nickel chromite. The Crystalline structure of $NiCr_{1.7}Fe_{0.3}O_4$ is spinel cubic (Fd-3m) structure with a lattice constant $a_0=8.317\AA$ at room temperature. The magnetic $N\acute{e}el$ temperature $(T_N)$ of the Fe doped nickel chromite sample is determined to be 250 K. The $M\ddot{o}ssbauer$ spectra exhibit that there are two magnetic phases with the two different sites for the $Cr^{3+}$ ions. The spectrum at 4.2 K is fitted to two magnetic components of the magnetic hyperfine fields $H_{hf}=496$ and 485 kOe. From the spectrum at 295 K, the electric quadrupole splittings are observed with large values of 0.49 and 0.50 mm/s, respectively. The values of the isomer shifts at all temperature ranges show that the Fe ions are ferric states. We are suggested that the dynamic Jahn-Teller distortion and anisotropic magnetic relaxation effects due to the crystalline phase transition.

$BaTiO_3$의 강유전-상유전 상전이에 미치는 A($Cu_{1/3}Nb_{2/3}$)$O_3$ (A=Pb, Ba 및 Sr)의 영향 (Influences of A($Cu_{1/3}Nb_{2/3}$)$O_3$(A=Pb, Ba and Sr) on the Ferroelectric Paraelectric Phase Transition of $BaTiO_3$ Ceramics)

  • 박휴범;김정;김시중
    • 한국세라믹학회지
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    • 제28권12호
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    • pp.969-974
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    • 1991
  • The influences of A(Cu1/3Nb2/3)O3(A=Pb, Ba and Sr) on the ferroelectric-paraelectric phase transition of BaTiO3 ceramics has been investigated. The tetragonality of crystal structure decreased with increasing A(Cu1/3Nb2/3)O3 content at room temperature. A linear correlation between Curie point and the tetragonality of lattice was not observed. In all three systems the variation of Curie point with the mole fraction showed similar tendency that the Curie point decreased at lower mole fraction but gradually increased in the region of higher mole fractions, Diffuse phase transitions were observed at higher mole fractions. The variation of Curie points could be explained by internal stress and Jahn-Teller distortion of BO6 due to Cu2+, and it was thought that the diffuse character of phase transition was caused by compositional fluctuation.

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