8,461 research outputs found
On unitary convex decompositions of vectors in a -algebra
summary:By exploiting his recent results, the author further investigates the extent to which variation in the coefficients of a unitary convex decomposition of a vector in a unital -algebra permits the vector decomposable as convex combination of fewer unitaries; certain -algebra results due to M. Rørdam have been extended to the general setting of -algebras
Formation of a dipolar adduct in the reaction of arylchlorocarbenes with diethyl maleate
PT: J; CR: COX DP, 1983, TETRAHEDRON LETT, V24, P5313 DEHMLOW EV, 1984, ANGEW CHEM INT EDIT, V23, P706 DOYLE MP, 1984, TETRAHEDRON LETT, V25, P901 GOULD IR, 1985, TETRAHEDRON, V41, P1587 LAMBERT JB, 1983, TETRAHEDRON LETT, V24, P3799 LIU MTH, 1977, TETRAHEDRON LETT, P3139 LIU MTH, 1985, J CHEM SOC CHEM COMM, P982 LIU MTH, 1985, TETRAHEDRON LETT, V26, P3071 LIU MTH, 1986, J PHYS CHEM-US, V90, P75 MORIARITY RM, 1985, J AM CHEM SOC, V107, P1357 MOSS RA, 1979, J AM CHEM SOC, V101, P4736 MOSS RA, 1980, ACCOUNTS CHEM RES, V13, P58 MOSS RA, 1983, TETRAHEDRON LETT, V24, P2719 MOSS RA, 1985, REACTIVE INTERMEDIAT, V3 YANG NC, 1968, J AM CHEM SOC, V90, P5654; NR: 15; TC: 7; J9: TETRAHEDRON LETT; PG: 4; GA: D9916Source type: Electronic(1
Electrochemical behavior of diazirines
PT: J; CR: ENGEL PS, 1980, CHEM REV, V80, P99 FRY AJ, 1973, J ORG CHEM, V38, P2620 KITAJEV JP, 1965, COLLECT CZECH CHEM C, V30, P4178 LIU MTH, 1981, J CHEM SOC P2, P53 LUND H, 1966, COLLECT CZECH CHEM C, V31, P4175 MALACHESKY PA, 1969, ANAL CHEM, V41, P1493 MOFFAT JB, 1978, CHEM DIAZONIUM DIA 1 NICHOLSON RS, 1964, ANAL CHEM, V36, P706 SCHWARZ WM, 1965, J PHYS CHEM-US, V69, P30; NR: 9; TC: 2; J9: J CHEM SOC CHEM COMMUN; PG: 2; GA: NJ399Source type: Electronic(1
Benzylchlorocarbene : kinetics parameters for 1,2-H migration, UB absorption spectrum, and mechanism for addition to alkenes
PT: J; CR: ALTMANN JA, 1974, J AM CHEM SOC, V96, P4196 ALTMANN JA, 1975, J AM CHEM SOC, V97, P5217 BIRKS JB, 1970, PHOTOPHYSICS AROMATI, P303 BODAR N, 1972, J AM CHEM SOC, V94, P9103 BONNEAU R, 1989, J PHYS CHEM-US, V93, P4802 BURFIELD DR, 1981, J ORG CHEM, V46, P629 BURNETT SM, 1983, CHEM PHYS LETT, V100, P124 FRENKING G, 1984, TETRAHEDRON, V40, P2123 GOULD IR, 1985, TETRAHEDRON, V41, P1987 GRAHAM WH, 1965, J AM CHEM SOC, V87, P4396 HOUK KN, 1984, J AM CHEM SOC, V106, P4291 HOUK KN, 1984, J AM CHEM SOC, V106, P4293 JACKSON JE, 1988, J AM CHEM SOC, V110, P5595 JACKSON JE, 1989, J AM CHEM SOC, V111, P6874 KYBA EP, 1977, J AM CHEM SOC, V99, P8330 LIU MTH, 1985, J CHEM SOC CHEM COMM, P982 LIU MTH, 1986, J PHYS CHEM-US, V90, P75 LIU MTH, 1989, J CHEM SOC CHEM COMM, P12 MOSS RA, 1986, J AM CHEM SOC, V108, P7028 NOBES RH, 1980, CHEM PHYS LETT, V74, P269 RAGHAVACHARI K, 1982, CHEM PHYS LETT, V85, P145 SCHAEFER HF, 1979, ACCOUNTS CHEM RES, V12, P288 STEVENS IDR, 1989, TETRAHEDRON LETT, V30, P481 SU DTT, 1978, J AM CHEM SOC, V100, P1872 WARNER PM, 1984, TETRAHEDRON LETT, V25, P4211 WUBBELS GG, 1983, ACCOUNTS CHEM RES, V16, P285 ZUGRAVESCU I, 1976, N YLID CHEM; NR: 27; TC: 63; J9: J AMER CHEM SOC; PG: 5; GA: DC941Source type: Electronic(1
New insights into folding tape-spring
The tape -spring is widely used in aerospace, mechanical, and civil engineering due to its unique mechanical properties and compact size. This paper aims to establish a new analytical model to more accurately predict the folding behavior of the tape -spring, including the geometric configuration, folding moment versus longitudinal curvature curve, peak moment, and propagation moment. This model comprehensively considers the influence of stretching strain energy and bending strain energy on the total strain energy, and determines the folding behavior of the tape -spring through the minimum energy principle. The proposed analytical model was compared with Wuest's model, Yee's model, and Yao's model. Experiments of tape -springs made from two different materials were utilized for validation. The study shows that the proposed model has the highest prediction accuracy compared with the classical models, with the error of approximately 10%. The reason for the significant difference in the prediction results between the proposed model and Yao's model was given, and the relationship between stretching strain energy and bending strain energy during the folding process of the tapespring was analyzed. The proposed model has broader applicability than classical models and provides new insights and solutions for accurate prediction of the folding behavior of the tape -spring
Deformation density of A diazirene ring in the X-ray structure of 3-[(Para-nitrophenoxy)methyl]-3-chorodiazirine
PT: J; CR: BAERT F, 1982, ACTA CRYSTALLOGR A, V38, P143 BATTAGLIA R, 1980, Z NATURFORSCH B, V35, P719 CARRUTHERS JR, 1989, CRYSTALS DUNITZ JD, 1973, ACTA CRYSTALLOGR B, V29, P589 GRAHAM WH, 1965, J AM CHEM SOC, V87, P4396 HANSEN NK, 1978, ACTA CRYSTALLOGR A, V34, P909 HEINE HW, 1983, SMALL RING HETEROCYC, V2, P547 LINDEN A, 1988, J ORG CHEM, V53, P1085 LIU MTH, 1987, CHEM DIAZIRINES MOFFAT JB, 1978, CHEM DIAZONIUM DIA 1 PIERCE L, 1962, J AM CHEM SOC, V84, P2651 REGITZ M, 1989, HOUBENWEYL E B, V19 SCHMITZ E, 1979, ADV HETEROCYCL CHEM, V24, P63 SEILER P, 1988, HELV CHIM ACTA, V71, P2100; NR: 14; TC: 10; J9: J AMER CHEM SOC; PG: 2; GA: HF639Source type: Electronic(1
Possibility of lifetime measurement in a flowing medium with phase fluorometry
The possibility of lifetime measurement in a flowing medium with phase fluorometry is investigated theoretically. A 3-D time dependent partial differential equation of the number density of atoms (or molecules) in the upper level of the fluorescence transition is solved analytically, taking flow, diffusion, optical excitation, decay, Doppler shift, and thickness of the excitation light sheet into account. An analytical expression of the intensity of the fluorescence signal in the flowing medium is deduced. Conditions are given, in which the principle of lifetime measurement with phase fluorometry in the static sample cell can be used in a flowing medium
Preparation and crystal structure of 3-(1-naphthylmethyl)-3-chlorodiazirine
PT: J; CR: 1974, INT TABLES XRAY CRYS, V4 BATTAGLIA R, 1980, Z NATURFORSCH B, V35, P719 CAMERON TS, 1979, ACTA CRYSTALLOGR B, V35, P749 GERMAIN G, 1971, ACTA CRYSTALLOGR A, V27, P368 GRAHAM WH, 1965, J AM CHEM SOC, V87, P4396 HEINE HW, 1983, SMALL RING HETEROCYC, V2, P547 HENCHER JL, 1967, J AM CHEM SOC, V89, P5527 KISCH H, 1987, CHEM DIAZIRINES, CH10 LIU MTH, 1982, CHEM SOC REV, V11, P127 MOFFAT JB, 1978, CHEM DIAZONIUM DIA 1 PIERCE L, 1962, J AM CHEM SOC, V84, P2651 SCHARPEN LH, 1969, J CHEM PHYS, V50, P2063 SCHMITZ E, 1979, ADV HETEROCYCL CHEM, V24, P63 SHELDRICK GM, 1976, SHELX 76 PROGRAM CRY WOLLRAB JE, 1968, J CHEM PHYS, V49, P2405 WOLLRAB JE, 1969, J CHEM PHYS, V51, P1585 WOLLRAB JE, 1970, J CHEM PHYS, V53, P1543; NR: 17; TC: 11; J9: J ORG CHEM; PG: 3; GA: M3719Source type: Electronic(1
Reaction of 3-chloro-3-methyldiazirines with hydrogen atoms
PT: J; CR: BINGHAM RC, 1975, J AM CHEM SOC, V97, P1285 BRADLEY GF, 1977, J CHEM SOC P2, P1214 BRASLAVSKY S, 1977, CHEM REV, V77, P473 CHADWELL HM, 1933, J AM CHEM SOC, V55, P1363 CLARK DT, 1969, T FARADAY SOC, V62, P393 CLARK DT, 1969, T FARADAY SOC, V62, P399 CLARK DT, 1969, T FARADAY SOC, V62, P405 CLOUGH PN, 1970, CAN J CHEM, V48, P2919 DYKSTRA CE, 1978, J AM CHEM SOC, V100, P1378 FIGUERA JM, 1978, J CHEM SOC F1, P809 FREY HM, 1966, ADV PHOTOCHEM, V4, P225 FREY HM, 1977, J CHEM SOC F1, P2010 GILBERT JC, 1979, TETRAHEDRON LETT, P4619 GRAHAM WH, 1965, J AM CHEM SOC, V87, P4306 JAMIESON JWS, 1970, CAN J CHEM, V48, P3619 JENNINGS BM, 1976, J AM CHEM SOC, V98, P6416 JONES M, 1973, CARBENES, V1 JONES WE, CHEM BIOMED ENV INST JONES WE, 1973, CHEM REV, V73, P407 JONES WE, 1978, J CHEM SOC F2, V74, P831 LAU A, 1964, SPECTROCHIM ACTA, V20, P97 LIU MTH, UNPUBLISHED LIU MTH, 1973, CAN J CHEM, V51, P2393 LIU MTH, 1977, CAN J CHEM, V55, P3596 MAEDA Y, 1979, J AM CHEM SOC, V101, P837 MARTIN LR, 1979, INT J CHEM KINET, V11, P543 MEIER H, 1977, ANGEW CHEM INT EDIT, V16, P835 MOFFAT JB, 1978, CHEM DIAZONIUM DIA 1 MOSS RA, 1978, J CHEM SOC CHEM COMM, P775 SCHMITZ E, 1964, ANGEW CHEM INT EDIT, V3, P333 SCHMITZ E, 1971, 23RD INT C PUR ALL C, V2, P283 SCOTT PM, 1969, J PHYS CHEM-US, V73, P1513 SMITH NP, 1979, J CHEM SOC P2, P213 WITTER RA, 1973, J ORG CHEM, V38, P484; NR: 34; TC: 3; J9: J AMER CHEM SOC; PG: 2; GA: JN379Source type: Electronic(1
MNDO calculations on diazirines
PT: J; CR: ARCHER WH, 1976, J CHEM SOC F1, V72, P1448 BIGOT B, 1978, IUPAC S PHOTOCHEMIST, P46 BINKLEY JS, QPCE368 BRADLEY GF, 1977, J CHEM SOC P2, P1214 BRASLAVSKY S, 1977, CHEM REV, V77, P473 BURKHOLDER D, J AM CHEM SOC CLOUGH PN, 1970, CAN J CHEM, V48, P2919 DEWAR MJS, J AM CHEM SOC, V99, P4999 DEWAR MJS, 1977, J AM CHEM SOC, V99, P4907 DEWAR MJS, 1978, J AM CHEM SOC, V100, P3607 DEWAR MJS, 1978, J AM CHEM SOC, V100, P777 ENGLEBRECHT WJ, 1975, JS AFRICAN CHEM I, V28, P191 FIGUERA JM, 1978, J CHEM SOC F1, P809 FREY HM, 1966, ADV PHOTOCHEM, V4, P225 FREY HM, 1977, J CHEM SOC F1, P2010 GILBERT JC, 1979, TETRAHEDRON LETT, P4619 HEHRE WJ, 1972, J CHEM PHYS, V56, P2257 HENCHER JL, 1967, J AM CHEM SOC, V89, P5527 JENNINGS BM, 1976, J AM CHEM SOC, V98, P6416 JONES M, 1973, CARBENES, V1 JONES WE, 1973, CHEM REV, V73, P407 JONES WE, 1976, J PHOTOCHEM, V5, P311 JONES WE, 1978, J CHEM SOC F2, V74, P831 LATHAN WA, 1973, FORTSCHR CHEM FORSCH, V40, P1 LAU A, 1964, SPECTROCHIM ACTA, V20, P97 LIU MTH, 1973, CAN J CHEM, V51, P2393 LIU MTH, 1977, CAN J CHEM, V55, P3596 MARTIN M, 1976, REV ROUM CHIM, V21, P31 MEIER H, 1977, ANGEW CHEM INT EDIT, V16, P835 MOFFAT JB, 1978, CHEM DIAZONIUM DIA 1 MOFFAT JB, 1979, J MOL STRUCT, V52, P275 NEWTON MD, 1970, J CHEM PHYS, V52, P4064 PIERCE L, 1962, J AM CHEM SOC, V84, P2651 PITTMAN CU, 1974, J ORG CHEM, V39, P373 SCHARPEN LH, 1969, J CHEM PHYS, V50, P2063 SCHMITZ E, 1964, ANGEW CHEM INT EDIT, V3, P333 SCHMITZ E, 1971, 23RD INT C PUR ALL C, V2, P283 SMITH NP, 1979, J CHEM SOC P2, P213 SNYDER LC, 1969, J AM CHEM SOC, V91, P2189 THIEL W, QCPE353 WOLLRAB JE, 1968, J CHEM PHYS, V49, P2405 WOLLRAB JE, 1969, J CHEM PHYS, V51, P1584 YURTSEVER E, 1974, CHEM PHYS LETT, V25, P605; NR: 43; TC: 5; J9: THEOR CHIM ACTA; PG: 7; GA: JW621Source type: Electronic(1
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