• Title/Summary/Keyword: Dihedral angle

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A Study on the Vector Space by Taking the Tetra-cosine Rule (Tetra-cosine Rule 에 의한 Vector Space고찰)

  • 김건희;이수종;김홍건
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1997.04a
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    • pp.389-394
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    • 1997
  • Consider a tetrhedron is composed of six dihedral angles .phi.(i=1,2..., 6), and a vertex of a tetrahedron is also three dihedral angles. It will assume that a vertex A, for an example, is composed of there angles definded such as .alpha..betha. and .gamma. !. then there is a corresponding angle can be given as .phi1.,.phi2.,.phi3.. Here, in order to differentiate between a conventional triangle and dihedral angle, if a dihedral angle degined in this paper is symbolized as .phi..LAMBDA.,the value of cos.theta.of .phi./sab a/, in a trigonometric function rule,can be defined to tecos.phi..LAMBD/sab A/., and it is defined as a tetradedral cosine .phi. or simply called a tecos.phi.. Moreover, in a simillar method, the dihedral angle of tetrahedron .phi..LAMBDA. is given as : value of sin .theta. can defind a tetra-sin.phi..LAMBDA., and value of tan .theta. of .phi..LAMBDA. is a tetra-tan .phi..LAMBDA. By induction it can derive that a tetrahedral geometry on the basis of suggesting a geometric tetrahedron

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A Study of Wind Tunnel Test of a Korean Traditional Bangpae Kite with the Wind Hole and Spanwise Curved Dihedral (스팬 방향 곡선 상반각과 방구멍을 갖는 전통 방패연의 풍동 실험 연구)

  • Kang, Chi-Hang
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.39 no.9
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    • pp.866-870
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    • 2011
  • In this paper, the aerodynamic forces of a Korean Traditional Bangpae Kite with the wind hole and spanwise curved dihedral were measured by wind tunnel test. For the flat plate kite without the wind hole, the stall presents at ${\alpha}=35^{\circ}$ with $C_{Lmax}$=1.2. The Korean Traditional Bangpae Kite with the wind hole had $C_{Lmax}$=1.05 at ${\alpha}=30^{\circ}$ without the apparent stall phenomena. As the wind hole size growing, the lift and drag of kite were changed slowly after stalling angle of attack. As increasing the leading edge dihedral angle, lift curves were more increased than drag curves. As the growing of wind hole size, the effect of dihedral angle was constant affect to the lift and drag of kite.

Effect of the Dihedral Stator on the Loss in a Transonic Axial Compressor (상반각 정익이 천음속 축류 압축기 손실에 미치는 영향에 관한 연구)

  • Hwang, Dongha;Choi, Minsuk;Baek, Jehyun
    • The KSFM Journal of Fluid Machinery
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    • v.18 no.5
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    • pp.5-12
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    • 2015
  • This paper presents a numerical investigation of the effect of the dihedral stator on the loss in a transonic axial compressor. Four stator geometries with different stacking line variables are tested in the flow simulations over the whole operating range. It is found that a large shroud loss at the rotor outlet and the subsequent shroud corner separation in the stator passage occur at low mass flow rate. The hub dihedral stator and bowed blade generate unexpected hub-corner-separation, thereby causing a large total pressure loss over the entire operating range. However, the corresponding blockage forces the high momentum flow near the hub to divert toward the upper part of the passage suppressing the negative axial velocity region. The dihedral stator increases deflection angle and secondary vorticity near the endwall where the dihedral is applied. As a result, the endwall loss which is related to the endwall relative velocity decreases.

Conformational Study of Liquid Crystalline Polymer: Theoretical Studies

  • Lee, Mi-Jung;Kim, Dong-Hee
    • Bulletin of the Korean Chemical Society
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    • v.27 no.1
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    • pp.39-43
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    • 2006
  • The relaxed torsional potential of a liquid crystalline polymer containing an ester functional group in a mesogenic unit (hereafter 12-4 oligomer) has been calculated with the ab initio self-consistent-field using 6-31G$^*$ basis set. GIAO^{13}C NMR chemical shifts also have been calculated at the B3LYP/6-31G$^*$ level of theory for each conformational structure obtained from torsional potential calculation. The results show that the phenyl ring-ester linkages are coplanar with the dihedral angle of about 0$^{\circ}$ and the ring-ring linkages in the biphenyl groups are tilted with the dihedral angle of around 43-44$^{\circ}$ in the lowest energy conformer. The biphenyl ring has a comparatively lower energy barrier of internal rotation potential in the ring-ring than that of phenyl ring-ester. The ^{13}C chemical shifts of carbonyl carbons were found to move to upfield due to $\pi$ -conjugation with phenyl ring and slightly affected about 0.5 ppm by dihedral angle of the ring-ring linkage.

Hexaphenylbenzene $C_6(C_6H_5)_6$

  • Kim Young-Sang;Ko Jaejung;Kang Sang Ook;Han Won-Sik;Jeong Jae-Ho;Suh Il-Hwan
    • Korean Journal of Crystallography
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    • v.16 no.1
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    • pp.1-5
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    • 2005
  • The structure of the title compound has been determined by single-crystal X-ray diffraction work. The crystals are orthorhombic, space group $Pna2_1$ with a=11.095(3), b=21.834(7), c=12.574(4) $\AA$, and R1=0.0667. The average carbon bond length in aromaticity In the molecule is 1.386(1) $\AA$ and the average single bond length linking the central benEene ring and peripheral phenyl rings is 1.491(3) $\AA$. The average dihedral angle between the central benzene ring and each of six peripheral phenyl rings is $67.1(1)^{\circ}$ and the average dihedral angle between neighboring two phenyl rings is $55.0(1)^{\circ}$. Thus the molecule adopts a quasi-propeller configuration with approximate six-fold rotation symmetry.

Isolated Pore Generation Mechanism and Mechanical Properties in MAS System with 3Y-TZP (MAS계에서 3Y-TZP 첨가에 따른 독립 기공 생성기구와 기계적 성질)

  • 최성철;박현철
    • Journal of the Korean Ceramic Society
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    • v.30 no.11
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    • pp.881-890
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    • 1993
  • MAS system has narrow sintering temp. range due to the liquid phae sintering and thereby densify rapidly. And especially, its poor mechanical properties limitedthe industrial application. In this study, the improvement of mechanical properties and densification is suggested by the consideration of the toughening mechanisms and isolated pore generation mechanism which is derived by the liquid phase sintering theory in 3Y-TZP added composites. After Pressureless sintering up to 140$0^{\circ}C$ for 5hr, the dihedral angle and contact angle are analyzed by the observation of microstructure. As a result of microstructure analysis, the sintering stage of the specimen sintered for 5hr is analyzed as solid-skeleton stage. And the isolated pore generation mechanisms are considered as (1) The swelling of the liquid phase is predominent due to the facts that dihedral angle is larger than 60$^{\circ}$, contact angle is large and that liquid volume fraction is smaller than 10%. (2) The porous characteristics of the MAS system is also suggested as: the SiO2-rich liquid film is firstly formed at the srface and therefore this reduces the contiguity of the pore, which induces the isolated pore. The strength and fracture toughness increased with the addition of 3Y-TZP and the main fracture toughness improvement mechanisms are analyzed as the crack deflection.

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Synthesis and X-ray Structure Analysis of (Z)-1-(4-Bromophenyl)-1-phenyl-2-(4-tert-butylphenyl)ethene ((Z)-1-(4-브로모페닐)-1-페닐-2-(4-tert-부틸페닐)에텐의 합성 및 X-선 구조분석)

  • Kim, Chul-Bae;Cho, Hyun-Jong;Lee, Sung-Kyung;Park, Kwangyong
    • Applied Chemistry for Engineering
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    • v.20 no.3
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    • pp.335-338
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    • 2009
  • As important intermediates for blue emitting materials of organic light-emitting diodes, bromotriphenylethylene derivatives for distrylarylenes are prepared by reactions of bromobenzophenone with benzylphosphonates. The reaction produces a 60 : 40 mixture of (Z)- and (E)-geometric isomers that are difficult to be resolved. The (Z)-isomer is successfully isolated by a selective recrystallization process using 2-propanol as a solvent. The X-ray structure analysis of (Z)-isomer shows that dihedral angles between tert-butylphenyl ring and bromophenyl ring and between bromophenyl ring and phenyl ring are $56.5(4)^{\circ}$ and $74.1(4)^{\circ}$, respectively.

MO Studies on the Electronic Structure and Reactivity of Glycinato, Glycine Ester Ligands (Glycinato 및 Glycine Ester 리간드의 전자구조와 반응성에 관한 분자궤도함수론적 연구)

  • Ja Hong Kim
    • Journal of the Korean Chemical Society
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    • v.24 no.1
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    • pp.15-19
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    • 1980
  • CNDO/2, EHT molecular orbital methods are used to investigate the electronic structure and reactivity of glycinato, glycine ester ligands. The results show that bidentate glycinato has a more stable structure, Gly-I with a $105.9^{\circ}$dihedral angle between ${\Delta}O_4C_3C_2$ and ${\Delta}C_3C_2N_1$ than Gly-Ⅱ. The electron inductive effects in the alkyl group substituted glycine ester ligands can also be derived from the calculation. According to the electron density, qN of ligands on the basis of CNDO/2 MO calculations, it is concluded that the stabilities are in the order of glycinato > Gly-Et-ester > Gly-i-Pr-ester > Gly-Me-ester.

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STEREOCHEMISTRY IN LONG-CHAIN BIRADICAL CYCLIZATION

  • Hasegawa, Tadashi;Yamazaki, Yuko;Yoshioka, Michikazu
    • Journal of Photoscience
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    • v.4 no.1
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    • pp.7-10
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    • 1997
  • The structures of 8-membered azalactone isomers produced from photocyclization of 2-(N,N-dibenzylamino)ethyl benzoylacetate were determined by the X-ray structure analysis to clarify the stereochemical behavior of a 1,8-biradical. The remarkable stereoselectivity in cyclization of the 1,8-biradical to form cis- and trans-isomers of the azalactone was not observed. The ring conformations were boat-chair like and dihedral angles between C$_5$- and C$_6$- phenyl groups were ca 45$\circ$ in the both isomers. The 1,8-biradicals in the transition state for the cyclization would have nearly same boat-chair like conformation and twisted configuration with the dihedral angle of ca 45$\circ$ as the corresponding isomer, and this is responsible for luck of stereoselectivity in long-chain biradical cyclization.

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A Study on the Aerodynamic Characteristics of a Joined-wing Aircraft with Variation of Wing Configurations

  • Kidong Kim;Jisung Jang
    • International Journal of Aerospace System Engineering
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    • v.10 no.1
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    • pp.1-13
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    • 2023
  • The present study was attempted to investigate flow interference effects and the aerodynamic characteristics of the front and rear wings of a joined-wing aircraft by changing the configuration variables. The study was performed using a computational fluid dynamics(CFD) tool to demonstrate forward flight and analyze aerodynamic characteristics. A total of 9 configurations were analyzed with variations on the position, height, dihedral angle, incidence angle, twist angle, sweepback angle, and wing area ratio of the front and rear wings while the fuselage was fixed. The quantities of aerodynamic coefficients were confirmed in accordance with joined-wing configurations. The closer the front and rear wings were located, the greater the flow interference effects tended. Interestingly, the rear wing did not any configuration change, the lift coefficient of the rear wing was decreased when adjusted to increase the incidence angle of the front wing. The phenomenon was appeared due to an effective angle of attack alteration of the rear wing resulting from the flow interference by the front wing configurations.