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LEGENDRE TRAJECTORIES OF TRANS-S-MANIFOLDS

  • Guvenc, Saban
    • Bulletin of the Korean Mathematical Society
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    • v.59 no.1
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    • pp.227-239
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    • 2022
  • In this paper, we consider Legendre trajectories of trans-S-manifolds. We obtain curvature characterizations of these curves and give a classification theorem. We also investigate Legendre curves whose Frenet frame fields are linearly dependent with certain combination of characteristic vector fields of the trans-S-manifold.

Measurement of Trans Fatty Acid formation and Degree of Rancidity in Fat and Oils According to Heating Conditions (가열조건에 따른 유지의 트랜스 지방산 생성과 산패도 측정에 관한 연구)

  • Ahn, Myung-Soo;Suh, Mi-Sook;Kim, Hyun-Jung
    • Journal of the Korean Society of Food Culture
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    • v.23 no.4
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    • pp.469-478
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    • 2008
  • In this study, degree of rancidity and trans fatty acid formation were examined in fat and oils, including soybean oil (SB), canola oil (CA), corn germ oil (CO), olive oil (OL), palm oil (PO), and beef tallow (BT), during heating for 10-130 minutes at 160-200$^{\circ}C$. In order to determine the rancidity of the fat and oils, acid values (AV), iodine values (IV), viscosity, and color were measured. Changes in the amounts of fatty acids and the formation of trans fatty acids were measured using GC and HPLC. For all groups, AV increased, IV decreased, and coefficients of viscosity and color increased as the heating temperature and heating time increased, indicating there were positive correlations between the heating temperature and time and AV. In addition, all groups had similar amounts of trans fatty acids, with the exception of the beef tallow; however, its level only slightly increased with heating. The olive oil had the lowest trans fatty acid content and the lowest amount created by heating. The order of trans fatty acid amounts generated while heating was BT>PO>CO>CA>SB>OL. According to the study results, the deep frying temperature during cooking should be 160-180$^{\circ}C$ in order to reduce AV and the amount of trans fatty acids that are formed. In addition, it is better to remove beef tallow during cooking and avoid heating at high temperatures since it results in high levels of trans fatty acids. The correlation between the amount of trans fatty acids and AV was positive, while the correlation between the amount of trans fatty acids and IV was negative, indicating that AV and trans fatty acid levels increase while IV decreases as the deep frying temperature and time increase. From the results, it was found that reducing the deep frying temperature and time can lessen increases in AV and trans fatty acids, and decrease IV. Accordingly, to reduce AV and trans fatty acid formation, the ideal deep frying conditions would be to use olive oil or soybean oil rather than beef tallow or palm oil at a temperature of 160-180$^{\circ}C$.

Oxidation of trans-[FeH(NCS(Me)-S)(dppe)2]I to trans trans-[FeNCS)2(Ph2P(O)CH2CH2P(O)Ph2)2][I3](dppe=PPh2CH2CH2PPh2) (trans-[FeH(NCS(Me)-S)(dppe)2]I 화합물의 trans-[FeNCS)2(Ph2P(O)CH2CH2P(O)Ph2)2][I3]로 산화)

  • Lee, Ji Hwa;Lee, Soon W.
    • Journal of the Korean Chemical Society
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    • v.44 no.4
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    • pp.311-315
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    • 2000
  • The Fe(II)-isothiocyanato complex $trans-[FeH(NCS)(dppe)_2]$ (1) eactedwith iodomethane(Mel) to give methyl isothiocyanide-Fe(n) complex, $trans-FeH(NCS(Me)-S)(dppe)_2]I(2)$. Compound 2 was oxidized to $trans-[Fe(NCS)_2(Ph_2P(O)CH_2CH_2P(O)Ph_2)_2][I_3]$ (3), which was structurally characterized by X-ray diffraction. The molecular structure of 3 showed a bent Fe-NCS group, Crystallographic data for 3: triclinic space group P1,a=11.071(2) A,b=12.054(2)A,c=12.121(1)A, $\alpha=101.02(1){\circ}C{\beta}=95.887(9){\circ}Cr=110.34(1){\circ}C$, $Z=1R(wR_2)=0.0567(0.1294)$.

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Fe-H…H-C Dihydrogen Bondings: Synthesis and Structure of trans-[FeH(NCSe)(dppe)2](dppe=Ph2 PCH2 CH2 PPh2 (Fe-H…H-C 이수소 결합: trans-[FeH(NCSe)(dppe)2](dppe=Ph2 PCH2 CH2 PPh2의 합성 및 구조)

  • Baek, Ji Yeong;Han, Won Seok;Lee, Sun Won
    • Journal of the Korean Chemical Society
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    • v.46 no.5
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    • pp.427-436
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    • 2002
  • Reaction of $trans-[FeHCl(dppe)_2]$ (1) with KSeCN led to the formation of $trans-[FeH(NCSe)(dppe)_2](2).$ Compound 2 $·CH_2Cl_2$ was structurally characterized by X-ray diffraction, in which the hydride ligand appears to be involved in the dihydrogen bonding of the type M-H${\cdot}$${\cdot}$${\cdot}$H-C.

Trans-Resveratrol Contents of Peanut Seeds Depend on Varieties and Processing Methods

  • Doo, Hong-Soo
    • Korean Journal of Plant Resources
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    • v.20 no.6
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    • pp.558-562
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    • 2007
  • The high-performance liquid chromatography(HPLC) method for the determination of trans-resveratrol in 34 germplasms and processing methods of peanut seeds has been modified. Peanut germplasms contained trans-resveratrol contents of $0.14{\sim}4.96{\mu}g/g$, but findings for the testa color were not significant. However, two germplasms, 'KIGAN' and 'CS1', contained more trans-resveratrol contents than the other germplasms. The contents of their were $2.26{\mu}g/g\;and\;4.96{\mu}g/g$. The tested processing methods caused no significant changes in trans-resveratrol contents. The contents of fresh, boiled, and roasted peanuts were 0.36, 0.32, and $0.40{\mu}g/g$, respectively in cv. Palkwang, and 0.22, 0.22, and $0.26{\mu}g/g$, respectively, in cv. Jakwang. Differences were not significant among fresh, boiled, and roasted peanuts. The grains of 'Palkwang' and 'Jakwang' contained trans-resveratrol contents of $0.34{\mu}g/g\;and\;0.24{\mu}g/g$, and testa contained $1.12{\mu}g/g\;and\;1.00{\mu}g/g$, respectively. However, when comparing absolute quantity, the trans-resveratrol contents appears to be approximately $3{\sim}4$ times higher in the testa than in the grain of the peanut, although the total contents were not different because the ratio of testa was low in peanut seeds.

Characterization of Low Molecular Weight Polyphenols from Pine (Pinus radiata) Bark

  • Mun, Sung-Phil;Ku, Chang-Sub
    • Food Science and Biotechnology
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    • v.15 no.3
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    • pp.424-430
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    • 2006
  • Low molecular weight polyphenols were isolated from hot water extracts of radiata pine (Pinus radiata) bark using a Sephadex LH-20 column and characterized by $^1H$ and $^{13}C$ NMR, UV, FT-IR, and GC-MS analyses. Major compounds isolated and identified were protocatechuic acid, trans-taxifolin, and quercetin. Trans-taxifolin, an important intermediate in biosynthetic route of proanthocyanidin (PA), was isolated in large quantities and indicates that PA is a major component of radiata pine bark. Small amounts of polyphenols were identified by GC-MS analysis. The presence of p-hydroxybenzoic acid, vanillic acid, protocatechuic acid, cis- and trans-feruic acid, p-coumaric acid, trans-caffeic acid, (-)-epicatechin, (+)-catechin, trans- and cis-taxifolin, (+)-gallocatechin, and quercetin was confirmed by comparison of mass fragmentation patterns and retention times (RT) with authentic samples. In addition, the presence of astringenin, astringenin glycoside, trans- and cis-leucodelphinidin was strongly assumed from characteristic mass fragment ions due to their conjugated structure and retro Diels-Alder reaction, and also from biosynthetic route of PA. GC-MS analysis allowed us to detect small amounts of phenolic acids and flavonoids and eventually discriminate trans- and cis-configuration in the identified polyphenols.

Quantitative Analysis of trans-Resveratrol in Red Wines by Solid Phase Extraction and LC/MS (고체상 추출법과 LC/MS를 이용한 적포도주 중의 trans-Resveratrol 분석)

  • Park, Gyo-Beom;Moon, Hyoung-Sil;Lee, Sueg-Geun
    • Analytical Science and Technology
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    • v.16 no.2
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    • pp.125-133
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    • 2003
  • In order to determine the contents of trans-resveratrol in red wine, which was mainly consumed in Korea, both LC/MS-ESI and LC/MS-APCI methods were used after solid-phase (Sep-Pak $C_{18}$-cartridges) extraction. The contents of trans-resveratrol obtained by LC/MS-ESI were detected in the range of $0.06-4.31{\mu}g/mL$. The recoveries were ranged from 88.4 to 97.9%. The values of relative standard deviation were ranged from 0.6 to 4.6% and the detection limit was $0.001{\mu}g/mL$. The contents of trans-resveratrol obtained by LC/MS-APCI were detected in the range of $0.09-4.02{\mu}g/mL$ and the detection limit was $0.005{\mu}g/mL$.