• 대한화학회지
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• 제53권4호
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• pp.476-480
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• 2009

• Journal of applied mathematics & informatics
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• 제38권1_2호
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• pp.189-200
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• 2020

Let G be a simple connected graph with n vertices and m edges. Denote by d₁ ≥ d₂ ≥ ⋯ ≥ d_n > 0 and d(e₁) ≥ d(e₂) ≥ ⋯ ≥ d(e_m) sequences of vertex and edge degrees, respectively. If vertices v_i and v_j are adjacent, we write i ~ j. The general sum-connectivity index is defined as 𝒳_α(G) = ∑_i~j(d_i + d_j)^α, where α is an arbitrary real number. Firstly, we determine a relation between 𝒳_α(G) and 𝒳_α-1(G). Then we use it to obtain some new bounds for 𝒳_α(G).

• 광물과 암석
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• 제33권1호
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• pp.53-64
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• 2020

삼광 금-은 광상은 과거에 한국에서 가장 큰 금-은 광상들 중의 하나이다. 이 광상 주변지질은 선캠브리아기의 변성퇴적암류와 이를 부정합으로 피복한 쥐라기 백운사층으로 구성된다. 이 광상은 선캠브리아기의 변성퇴적암류내에 발달된 열극대를 충진한 8개조의 석영맥으로 구성된 조산형 금-은 광상이다. 이 광상에는 일반적으로 엽리상 석영맥이 관찰되며 석영, 철백운석, 백색운모, 녹니석, 인회석, 금홍석, 유비철석, 섬아연석, 황동석 및 방연석 등으로 구성된다. 엽리상 석영맥과 모암변질에서 산출되는 백색운모의 화학조성은 (K_1.02-0.82Na_0.02-0.00Ca_0.00)(Al_1.73-1.58Mg_0.26-0.16Fe_0.23-0.10Mn_0.00Ti_0.03-0.01Cr_0.01-0.00)(Si_3.35-3.22Al_0.79-0.65)O₁₀(OH)₂ 및 (K_0.75-0.67Na_0.01Ca_0.00) (Al_1.78-1.74Mg_0.16-0.15Fe_0.15-0.13Mn_0.00Ti_0.04-0.02Cr_0.01-0.00)(Si_3.33-3.26Al_0.74-0.67)O₁₀(OH)₂로써 엽리상 석영맥에서 산출되는 백색운모에서 층간 양이온(K+Na+Ca)과 팔면체 자리에서의 Fe+Mg+Mn+Ti 함량이 높게 산출된다. 이 광상의 엽리상 석영맥에서 산출되는 백색운모의 화학조성 변화는 팬자이틱 또는 Tschermark 치환((Al³⁺)^VI+(Al³⁺)^IV <-> (Fe²⁺ 또는 Mg²⁺)^VI+(Si⁴⁺)^IV) 및 직접적인 (Fe³⁺)^VI <-> (Al³⁺)^VI 치환에 의해 일어났음을 알 수 있다. 엽리상 석영맥에서 산출되는 철백운석은 결정방향에 따라 서로 다른 상들이 교호하며 산출되며 이들 상들에서는 FeO 및 MgO 함량 변화가 관찰된다. 따라서 삼광 금-은 광상의 엽리상 석영맥 형성은 조산형 금은 광상의 형성 시 주 광화시기인 연성전단(ductile shear) 시기에 형성되었음을 알 수 있다.

• Korean Chemical Engineering Research
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• 제61권3호
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• pp.479-486
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• 2023

본 연구에서는 메탄 습식 개질 반응용 Ni/Al₂O₃ 촉매에 첨가된 Ce_xZr_1-xO₂(CZ)가 촉매 반응 효율에 미치는 효과를 조사하였다. 반응 실험 결과, CZ 조촉매가 첨가된 Ni/Al₂O₃ 촉매는 동일 온도, 동일 steam to carbon ratio에서 Ni/Al₂O₃ 촉매보다 높은 메탄 전환율과 수소 수율을 보였다. 특성 분석 결과, 두 촉매 모두 유사한 기공 구조와 비슷한 Ni 분산도를 가지고 있어 이는 반응 효율에 영향을 미치는 요소가 아님을 확인하였다. 하지만, 라만 분광 분석결과에서 CZ 조촉매 첨가 Ni/Al₂O₃ 촉매는 Ni/Al₂O₃ 촉매와 달리 CZ상에서 oxygen vacancy가 존재하고, 이는 상대적으로 낮은 반응 온도에서 물 활성화를 촉진시키는 것으로 확인되었다. CZ 조촉매 상의 oxygen vacancy에 의한 물 활성화는 저온 영역에서 CZ 조촉매 첨가 Ni/Al₂O₃ 촉매의 습식 개질 반응 성능을 증대시켰다.

• 한국재료학회지
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• 제33권5호
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• pp.189-194
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• 2023

This study uses first-principles calculations to investigate the mechanical properties and effect of strain on the electronic properties of the 2D material 1H-PbX₂ (X: S, Se). Firstly, the stability of the 1H Pb-dichalcogenide structures was evaluated using Born's criteria. The obtained results show that the 1H-PbS₂ material possesses the greatest ideal strength of 3.48 N/m, with 3.68 N/m for 1H-PbSe₂ in biaxial strain. In addition, 1H-PbS₂ and 1H-PbSe₂ are direct semiconductors at equilibrium with band gaps of 2.30 eV and 1.90 eV, respectively. The band gap was investigated and remained almost unchanged under the strain ε_xx but altered significantly at strains ε_yy and ε_bia. At the fracture strain in the biaxial direction (19 %), the band gap of 1H-PbS₂ decreases about 60 %, and that of 1H-PbSe₂ decreases about 50 %. 1H-PbS₂ and 1H-PbSe₂ can convert from direct to indirect semiconductor under the strain ε_yy. Our findings reveal that the two structures have significant potential for application in nanoelectronic devices.

• Nonlinear Functional Analysis and Applications
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• 제27권2호
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• pp.249-259
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• 2022

Let 𝓐 be a unital C^*-algebra. Then it follows that $\sum\limits_{i=1}^{n}(a_ia^*_i)^{\frac{1}{2}}{\leq}\sqrt{n}\(\sum\limits_{i=1}^{n}a_ia^*_i\)^{\frac{1}{2}}$, ∀n ∈ ℕ, ∀a₁, …, a_n ∈ 𝓐. By modifications of arguments of Botelho-Andrade, Casazza, Cheng, and Tran given in 2019, for certain n-tuple x = (a₁, …, a_n) ∈ 𝓐ⁿ, we give a method to compute a positive element c_x in the C^*-algebra 𝓐 such that the equality $$\sum\limits_{i=1}^{n}(a_ia^*_i)^{\frac{1}{2}}=c_x\sqrt{n}\(\sum\limits_{i=1}^{n}a_ia^*_i\)^{\frac{1}{2}}$$ holds. We give an application for the integral of Kasparov. We also derive a formula for the exact constant for the continuous ℓ₁ - ℓ₂ inequality.

• 한국전기전자재료학회논문지
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• 제24권10호
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• pp.850-854
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• 2011

Nano-fibers of the $Li[Ni_{1/3}Co_{1/3}Mn_{1/3}]O_2$ electrode were synthesized from a metal oxide precursor using the electrospun method. The XRD patterns of all prepared powders showed a hexagonal ${\alpha}$ - $NaFeO_2$ structure (space group: R-3 m, 166). Scanning electron microscopy showed that all the synthesized samples were comprised of nanofibers with a size of 100~800 nm. Among the samples tested, the calcined $Li[Ni_{1/3}Co_{1/3}Mn_{1/3}]O_2$ nanowires in oxygen heating atmosphere showed a high charge and discharge capacity of 239.22 and 172.81 $mAhg^{-1}$ at the $1^{st}$ cycle, respectively. In addition, the charge transfer resistance was also improved significantly compared to the other samples.

• Current Optics and Photonics
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• 제7권6호
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• pp.673-682
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• 2023

In this paper, a three-key triple data encryption algorithm (TDEA) of a digital cryptosystem based on phase-shifting interferometry is proposed. The encryption for plaintext and the decryption for the ciphertext of a complex digital hologram are performed by three independent keys called a wavelength key k₁(λ), a reference distance key k₂(d_r) and a holographic encryption key k₃(x, y), which are represented in the reference beam path of phase-shifting interferometry. The results of numerical simulations show that the minimum wavelength spacing between the neighboring independent wavelength keys is about δλ = 0.007 nm, and the minimum distance between the neighboring reference distance keys is about δd_r = 50 nm. For the proposed three-key TDEA, choosing the deviation of the key k₁(λ) as δλ = 0.4 nm and the deviation of the key k₂(d_r) as δd_r = 500 nm allows the number of independent keys k₁(λ) and k₂(d_r) to be calculated as N(k₁) = 80 for a range of 1,530-1,562 nm and N(d_r) = 20,000 for a range of 35-45 mm, respectively. The proposed method provides the feasibility of independent keys with many degrees of freedom, and then these flexible independent keys can provide the cryptosystem with very high security.

• 대한수학회보
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• 제60권1호
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• pp.33-46
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• 2023

Geodesic orbit spaces are homogeneous Finsler spaces whose geodesics are all orbits of one-parameter subgroups of isometries. Such Finsler spaces have vanishing S-curvature and hold the Bishop-Gromov volume comparison theorem. In this paper, we obtain a complete description of invariant (α₁, α₂)-metrics on spheres with vanishing S-curvature. Also, we give a description of invariant geodesic orbit (α₁, α₂)-metrics on spheres. We mainly show that a Sp(n + 1)-invariant (α₁, α2)-metric on S⁴ⁿ⁺³ = Sp(n + 1)/Sp(n) is geodesic orbit with respect to Sp(n + 1) if and only if it is Sp(n + 1)Sp(1)-invariant. As an interesting consequence, we find infinitely many Finsler spheres with vanishing S-curvature which are not geodesic orbit spaces.

• Bulletin of the Korean Chemical Society
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• 제23권10호
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• pp.1435-1454
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• 2002

Bright yellow ${(Y_{1-x}Gd_x)}_{3-z}{(Al_{1-y}Ga_y)}_5O_{12}:Ce_z$ phosphors were synthesized. White LED was obtained by the combination of non-absorbed blue emission from a blue L ED itself and yellow emission from ${(Y_{1-x}Gd_x)}_{3-z}{(Al_{1-y}Ga_y)}_5O_{12}:Ce_z$ phosphors. The crystal structures and optical properties of ${(Y_{1-x}Gd_x)}_{3-z}{(Al_{1-y}Ga_y)}_5O_{12}:Ce_z$ phosphors were investigated.