• Title/Summary/Keyword: 4k+2 짝수

Search Result 25, Processing Time 0.02 seconds

Thermotropic Liquid Crystalline Behavior of Penta-O-4-{4'-(cyanophenylazo)phenoxy}alkyl-D-glucopyranoses (펜타-O-4-{4'-(시아노페닐아조)펜옥시}알킬-D-글루코피라노오스들의 열방성 액정 거동)

  • Jeong, Seung Yong;Kim, In Soo;Ma, Yung Dae
    • Applied Chemistry for Engineering
    • /
    • v.20 no.6
    • /
    • pp.603-611
    • /
    • 2009
  • Thermotropic liquid crystalline behavior of a homologous series of penta-O-4-{4'-(cyanophenylazo)phenoxy}alkyl-D-glucopyranoses(CAGETn, n = 2~10, the number of methylene units in the spacer) has been investigated. The CAGETn with n of 2 and 7 exhibited enantiotropic nematic phases whereas other derivatives showed monotropic nematic phases. This is the first report of glucose derivatives that form thermotropic nematic phases. The isotropic-nematic transition temperatures ($T_{iNS}$) of CAGETns and their entropy variation at $T_{iN}$ showed the odd-even effect as a function of n. This behavior was rationalized in terms of the change in the average shape of the side chains as the parity of the spacer is varied. This rationalization also accounts for the observed variation of nematic-crystalline phase transition temperatures ($T_{NkS}$) and associoated entropy change at $T_{Nk}$. The entropy change at $T_{iN}$ or $T_{Nk}$ reaches a mininum at n = 3, before it increases again for n = 4. This may be attributed to the difference in the arrangement of the side groups. The mesophase properties of CAGETns were entirely different from those reported for partially or fully alkylated glucopyranoses. This result suggests that the degree of substitution and chemical structure of the substituents play an important role in the formation of the mesophase structures in the liquid crystals.

Fault Hamiltonian Properties of 2D mesh networks with Two Additional Links (2차원 메쉬에 두개의 링크를 추가한 연결망의 고장 해밀톤 성질)

  • Park, Kyoung-Wook;Lim, Hyeong-Seok
    • Proceedings of the Korea Information Processing Society Conference
    • /
    • 2003.11a
    • /
    • pp.153-156
    • /
    • 2003
  • 본 논문에서는 첫 행과 마지막 행에 추가 링크를 갖는 $m{\times}n$ 메쉬 연결망 $M_{2}(m,\;n)$의 고장 해밀톤 성질을 고려한다. 이분 그래프인 $M_{2}(m,\;n)$에 하나의 결함 링크가 발생하더라도 임의의 두 노드가 다른(같은) 집합에 속한 경우 두 노드를 잇는 길이 mn - 1(mn - 2)인 경로가 존재함을 보인다. 또한 하나의 결함 노드 또는 링크가 있는 경우 임의의 두 노드를 잇는 적어도 길이 mn - 4인 경로가 존재함을 보인다. 이러한 결과들을 이용하여 짝수개의 노드를 갖는 3차원 메쉬의 고장 해밀톤 성질을 보인다.

  • PDF

A Design of Analog Predistortion Linearizer Using Even Harmonic Signals (짝수 고조파 성분을 이용한 아날로그 전치 왜곡 선형화기 설계)

  • Hwang Moon-Soo;Jeon Ki-Kyung;Kim Ell-Kou;Cho Suk-Hui;Kim Young;Kim Byung-Chul
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
    • /
    • v.17 no.1 s.104
    • /
    • pp.67-73
    • /
    • 2006
  • This paper proposes a new predistortion linearizer with controlling intermodulation distortion(IMD) signals. This linearizer achieves independent control of third- and fifth-order intermodulation distortion products using amplitude modulation with even harmonic signals. A vector modulator that modulate fundamental signal with both second- and fourth-order harmonic components generated by harmonic generator circuits, generates the inverse characteristics third-and fifth-order intermodulation signals of power amplifier and controls amplitude and phase of them with each other modulation factors. As a results, this linearizer is suppressed IMD signals of power amplifier effectively. The test results show that the third IMD is cancelled more than 25 dB and the fifth order IMD is cancelled about 18 dB for CW two-tone signals. Also, it's improved the adjacent channel power ratio(ACPR) more than 7 dB for IS-95 CDMA signals.

Thermotropic Liquid Crystalline Behavior of Poly[1-{4-(4'-nitrophenylazo)phenoxycarbonylalkanoyloxy}ethylene]s (폴리[1-{4-(4'-니트로페닐아조)페녹시카보닐알카노일옥시}에틸렌]들의 열방성 액정 거동)

  • Jeong, Seung-Yong;Ma, Yung-Dae
    • Polymer(Korea)
    • /
    • v.32 no.5
    • /
    • pp.489-496
    • /
    • 2008
  • The thermotropic liquid crystalline behavior of a homologous series of poly[1-{4-(4' nitrophenylazo) phenoxycarbonylalkanoyloxy}ethylene]s (NAPEn, n = $2{\sim}8$,10, the number of methylene units in the spacer) have been investigated. All of the homologues formed monotropic nematic phases. The glass transition temperatures decreased with n. This is attributed to a plasticization of the backbone by the side chains. The isotropic-nematic phase transition temperatures decreased with increasing n up to 7 and showed the odd-even effect. However it became almost constant when n is more than 7. This behavior was rationalized in terms of the change in the average shape of the side chain on varing the parity of the spacer. This rationalization also accounts for the observed variation of the entropic gain for the clearing transition. The mesophase properties of NAPEn were entirely different from those reported for the polymers in which the azobenzene groups are attached to polyacrylate, polymathacrylate, and polystyrene backbones through polymethylene spacers. The results indicate that the mode of chemical linkage of the side group with the main chain plays an important role in the formation, stabilization, and type of mesophase.

PMO Theory of Orbital Interactions (Ⅳ). n-n Orbital Interactions in Some Heteroatom Systems (궤도간 상호작용의 섭동분자궤도 이론 (제4보). 헤테로 원자계에서의 n-n 궤도간 상호작용)

  • Ikchoon Lee;Chang Kook Sohn;Wang Ki Kim
    • Journal of the Korean Chemical Society
    • /
    • v.27 no.5
    • /
    • pp.330-339
    • /
    • 1983
  • The CNDO/2 and STO-3G calculations were performed on nitrogen, oxygen, and sulfur compounds in order to examine the effect of interactions between two nonbonding (n) orbitals in the same molecule separated by N intervening $\sigma$ bonds based on the PMO approach. Calculated basis level energies, energy splittings, and interaction energy changes for both chain and cyclic model compounds were qualitatively compared with the corresponding predictions derived from perturbational formalism for n-n orbital interactions and successfully explained in terms of the derived energy expressions. In general, through-space interaction term could be neglected in the N and O systems. And the calculated results were explained simply by through-bond interaction term. As a result, through-bond interaction placed n- below n+ for odd systems and n+ below n- for even systems. Also energy splittings in odd systems were larger than those in even systems. However, in the cases of cis-ethylene diamine and o-phenylene diamine(conformer VI in Table 4), through-space interaction term was found to be substantial and the opposing effects of through-space and through-bonds interactions were observed. Finally it was found that the interactions between two n orbitals on S atoms always had some contribution of the destabilizing through-space interaction term. This result was consistent with the fact that the lone pair lobes of third elements were larger in size than those of the second period elements.

  • PDF

Strongly Hamiltonian Laceability of Mesh Networks (메쉬 연결망의 강한 해밀톤 laceability)

  • Park Kyoung-Wook;Lim Hyeong-Seok
    • Journal of KIISE:Computer Systems and Theory
    • /
    • v.32 no.8
    • /
    • pp.393-398
    • /
    • 2005
  • In interconnection networks, a Hamiltonian path has been utilized in many applications such as the implementation of linear array and multicasting. In this paper, we consider the Hamiltonian properties of mesh networks which are used as the topology of parallel machines. If a network is strongly Hamiltonian laceable, the network has the longest path joining arbitrary two nodes. We show that a two-dimensional mesh M(m, n) is strongly Hamiltonian laceabie, if $m{\geq}4,\;n{\geq}4(m{\geq}3,\;n{\geq}3\;respectively)$, and the number of nodes is even(odd respectively). A mesh is a spanning subgraph of many interconnection networks such as tori, hypercubes, k-ary n-cubes, and recursive circulants. Thus, our result can be applied to discover the fault-hamiltonicity of such networks.

Purification and characterization of the chitinase from Bacillus subtilis JK-56 (Bacillus subtilis JK-56이 생산하는 chitinase isozyme의 정제와 특성 규명)

  • 전홍기;김낙원;정영기
    • Journal of Life Science
    • /
    • v.12 no.1
    • /
    • pp.77-86
    • /
    • 2002
  • Chitin, a $\beta$-1,4 polymer of N-acetyl-D-glucosamine, is one of the most abundant organic compounds in nature. Chitinase (EC 3.2.1.14) is an enzyme that degrades chitin to chito-oligosaccharides, diacetyl rhitobiose and N-acetyl-D-glucosamine. An extracellular chitinase-producing bacterial strain was isolated from soil and named to as Bacillus subtilis JK-56. Optimum culture condition of B. subtilis JK-56 for the production of chitinase was 1% chitin, 0.5% polypepton, 0.1% KCl, 0.05% MnS $O_4$.4$H_2O$, 37$^{\circ}C$, initial pH 7.0 and 40 hour culture time. When B. subtilis JK-56 was grown in the optimum medium, one major active band and two minor active bands were detected by native-PAGE and active staining of the gel. Among them, the major band was purified from the culture supernatant by 70% ammonium sulfate precipitation and native-PAGE with BIO-RAD Model 491 Prep-Cell and named as Chi-56A. Its molecular weight was estimated to be 53kDa monomer and the isoelectric point (pI) was pH 4.3. The pH and temperature for the optimum activity of Chi-56A were pH 6.0 and $65^{\circ}C$, respectively. Chi-56A was stable up to $65^{\circ}C$ and in alkaline region. Its $K_{m}$ value for colloidal chitin was 17.33g/L. HPLC analysis of the reaction products confirmed that Chi-56A was an exo type chitinase.e.

Thermotropic Liquid Crystalline Behavior of Poly[1-{4-(4'-cyanophenylazo)phenoxyalkyloxy}ethylene]s (폴리[1-{4-{4'-시아노페닐아조)펜옥시알킬옥시}에틸렌]들의 열방성 액정 거동)

  • Jeong, Seung-Yong;Lee, Jae-Yoon;Ma, Yung-Dae
    • Polymer(Korea)
    • /
    • v.33 no.4
    • /
    • pp.297-306
    • /
    • 2009
  • A homologous series of side chain liquid crystalline polymers, poly [1-{4-(4'-cyanophenylazo)phenoxyalkyloxy}ethylene]s(CAPETn, where n, the number of methylene units in the spacer, is $2{\sim}10$) were synthesized from poly(vinyl alcohol) and 1-{4-(4'-cyanophenylazo)phenoxy}alkylbromides(CAPBn, n=$2{\sim}10$), and their thermotropic liquid crystalline phase behaviors were investigated. The CAPBn with n of $2{\sim}5$ did not show any liquid crystalline behavior, while those with n of 6 and $7{\sim}10$ showed enantiotropic and monotropic nematic phases, respectively. In contrast, among the CAPETn polymers, only CAPET5 exhibited an enantiotropic nematic phase, while other polymers showed monotropic nematic phases. The isotropic-nematic transition temperatures of CAPETns and their entropy variation at the phase transition that were higher values than those of CAPBns, demonstrated a typical odd-even effect as a function of n. These phase transition behaviors were disscussed in terms of the 'virtual trimer model' by Imrie. The mesophase properties of CAPETns were largely different from those reported for the polymers in which the (cyanophenylazo) phenoxy groups are attached to polyacrylate, polymethacrylate, and polystyrene backbones through polymethylene spacers. The results indicate that the mode of chemical linkage of the side group with the main chain plays an important role in the formation, stabilization, and type of mesophase.

Design of 3V CMOS Continuous-Time Filter Using Fully-Balanced Current Integrator (완전평형 전류 적분기를 이용한 3V CMOS 연속시간 필터 설계)

  • An, Jeong-Cheol;Yu, Yeong-Gyu;Choe, Seok-U;Kim, Dong-Yong;Yun, Chang-Hun
    • Journal of the Institute of Electronics Engineers of Korea SC
    • /
    • v.37 no.4
    • /
    • pp.28-34
    • /
    • 2000
  • In this paper, a continuous-time filter for low voltage and high frequency applications using fully-balanced current integrators is presented. As the balanced structure of integrator circuits, the designed filter has improved noise characteristics and wide dynamic range since even-order harmonics are cancelled and the input signal range is doubled. Using complementary current mirrors, bias circuits are simplified and the cutoff frequency of filters can be controlled easily by a single DC bias current. As a design example, the 3rd-order lowpass Butterworth filter with a leapfrog realization is designed. The designed fully-balanced current-mode filter is simulated and examined by SPICE using 0.65${\mu}{\textrm}{m}$ CMOS n-well process parameters. The simulation results show 50MHz cutoff frequency, 69㏈ dynamic range with 1% total harmonic distortion(THD), and 4㎽ power dissipation with a 3V supply voltage.

  • PDF

Thermotropic Liquid Crystalline Behavior of Tri-O-[4-{4'-(cyanophenylazo)phenoxy}]alkyl Celluloses (트리-O-[4-{4'-(시아노페닐아조)페녹시}]알킬 셀룰로오스들의 열방성 액정 거동)

  • Jeong, Seung-Yong;Son, Ho-Min;Ma, Yung-Dae
    • Polymer(Korea)
    • /
    • v.34 no.2
    • /
    • pp.116-125
    • /
    • 2010
  • The thermotropic liquid crystalline behavior of the homologous series of combined-type liquid crystalline polymers, tri-O-{4-(4'-cyanophenylazo)phenoxy}alkyl celluloses (CACETn, where n, the number of methylene units in the spacer, is 2~10) have been investigated. The CACETn with n of 5 and 7 exhibited enantiotropic nematic phases, while other polymers showed monotropic nematic phases. The isotropic-nematic transition temperature($T_{iN}$) increased when n is increased up to 4, but it decreased with increasing n more than 5. The entropy change at $T_{iN}$ also reaches a minimum at n=5, before it increases again for n=6. The sharp change at n=5 may be attributed to the difference in arrangement in the side groups. The nematic-crystalline transition temperatures, in contrast with $T_{iNS}$, exhibited a distinct odd-even effect, suggesting that the average shape of the side chains in the crystalline phase is different from that in the nematic phase. The mesophase properties of CACETn were significantly different from those reported for tri-O-alkyl celluloses and poly[1-{4-(4'-cyanophenylazo)phenoxyalkyloxy}ethylene]s. The results were discussed in terms of the difference in the chemical structures of the main and side chains and the number of the mesogenic units per repeating unit.