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Procedure for manipulating / analysing Dynamic NMR (DNMR) data (example: DNMR data for the compound 1-Silyl-1-Silacyclohexane, C5H10SiHSiH (schsih3) By use of the programs: 1) Mestre C 2) WINDNMR (http://www.chem.wisc.edu/areas/reich/plt/windnmr.htm )http://www.chem.wisc.edu/areas/reich/plt/windnmr.htm 3) IGOR (http://www.raunvis.hi.is/~agust/hugbkenn.htm )http://www.raunvis.hi.is/~agust/hugbkenn.htm - and analysis examples
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Procedure (example: DNMR data for the compound ): nuts files (necessary input files for WINDNMR) are created with Mestre C as (inside Mestre C): File->import spectra->....schsih3-> FIF gogn-> Select for example sow417mr.163->open->FT -> 256K->Apply along t1-> Phase correction(if needed):select region of interest by using magnifying glass(+) and click and drag untill satisfactory-> press phase correction button->click mouse as said and hold and drag up or down and you will see the phase change; stop when it is good ->OK->File->Export file -> nuts->...appropriate file-> type name: schsih3-163.nts->save Now schsih3-163.nts should be ready for WINDNMR to read: Inside WINDNMR (has to be without some other experimental spectrum inside): File->open new spectrum->..select appropriate file>select schsih3-163.nts->open-> select the spectrum area of interest by click, drag drop and choose “Expand spectrum”; You may need to do this several time untill you ar happy. NB!: Simulation er framkvæmd manually, þ.e. með því að breyta parametrum handvirkt og lágmarka error og/eða með því að fá besta sjónræna fit! Move date from WINDNMR to IGOR: After simulation has been performed inside WINDNMR: Export->Spectrum data to Clipboard (for spreadsheet)-> move to a table inside IGOR and simply paste => calculated and experimental spectra are copied to four columns as: 1st column: x axis values for calc.; 2nd column: y axis values for calc.; 3rd column: x axis values for exp.; 4st column: y axis values for exp.;
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Analysis examples are shown below:
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120509: item 1, simulation group schsih3-105-32K.sim, C3,C5; see parameters above and/or in table; “Difference spectrum” = exp. – calc. exp. calc. T corr = 100.
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120509: item 1, simulation group schsih3-115-32K.sim, C3,C5; see parameters above and/or in table; “Difference spectrum” = exp. – calc. exp. calc. T corr = 110.
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120509: item 2, simulation group schsih3-124-32K.sim, C3,C5; see parameters above and/or in table; “Difference spectrum” = exp. – calc. exp. calc. T corr = 115.
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120509: item 1, simulation group schsih3-132-32K.sim, C3,C5; see parameters above and/or in table; “Difference spectrum” = exp. – calc. exp. calc. T corr = 122.
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120509: item 1, simulation group schsih3-133-32K.sim, C3,C5; see parameters above and/or in table; “Difference spectrum” = exp. – calc. exp. calc. T corr = 123.
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120509: item 1, simulation group schsih3-138-32K.sim, C3,C5; see parameters above and/or in table; “Difference spectrum” = exp. – calc. exp. calc. T corr = 128.
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120509: item 1, simulation group schsih3-145-32K.sim, C3,C5; see parameters above and/or in table; “Difference spectrum” = exp. – calc. exp. calc. T corr = 135.
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120509: item 1, simulation group schsih3-148-32K.sim, C3,C5; see parameters above and/or in table; “Difference spectrum” = exp. – calc. exp. calc. T corr = 138.
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120509: item 2, simulation group schsih3-105-32K.sim, C2,C6; see parameters above and/or in table; “Difference spectrum” = exp. – calc. exp. calc. T corr = 100.
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120509: item 2, simulation group schsih3-115-32K.sim, C2,C6; see parameters above and/or in table; “Difference spectrum” = exp. – calc. exp. calc. T corr = 110.
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item 3, simulation group schsih3-124-32K.sim, C2,C6; see parameters above and/or in table; “Difference spectrum” = exp. – calc. exp. calc. T corr = 115. 120509:
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120509: item 2, simulation group schsih3-132-32K.sim, C2,C6; see parameters above and/or in table; “Difference spectrum” = exp. – calc. exp. calc. T corr = 122.
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120509: item 2, simulation group schsih3-133-32K.sim, C2,C6; see parameters above and/or in table; “Difference spectrum” = exp. – calc. exp. calc. T corr = 123.
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120509: item 2, simulation group schsih3-138-32K.sim, C2,C6; see parameters above and/or in table; “Difference spectrum” = exp. – calc. exp. calc. T corr = 128.
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120509: item 2, simulation group schsih3-145-32K.sim, C2,C6; see parameters above and/or in table; “Difference spectrum” = exp. – calc. exp. calc. T corr = 135.
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120509: item -, simulation group schsih3-163.sim, C2,C6; see parameters above and/or in table; “Difference spectrum” = exp. – calc. exp. calc. T corr = 154.
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120509: item -, simulation group schsih3-163.sim, C2,C6; see parameters above and/or in table; exp. calc. T corr = 154.
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120509: item 3, simulation group schsih3-138-32K.sim, C2,C6; see parameters above and/or in table; exp. calc. T corr = 128.
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120509: item 3, simulation group schsih3-133-32K.sim, C2,C6; see parameters above and/or in table; “Difference spectrum” = exp. – calc. exp. calc. T corr = 123.
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120509: item 3, simulation group schsih3-132-32K.sim, C2,C6; see parameters above and/or in table; “Difference spectrum” = exp. – calc. exp. calc. T corr = 122.
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item 4, simulation group schsih3-124-32K.sim, C2,C6; see parameters above and/or in table; “Difference spectrum” = exp. – calc. exp. calc. T corr = 115. 120509:
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120509: item 3, simulation group schsih3-115-32K.sim, C2,C6; see parameters above and/or in table; “Difference spectrum” = exp. – calc. exp. calc. T corr = 110.
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120509: item 3, simulation group schsih3-105-32K.sim, C2,C6; see parameters above and/or in table; “Difference spectrum” = exp. – calc. exp. calc. T corr = 100.
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T corr k ab + k ba % a 100054 110758 1153957 12240054 (assumed) 12340054 (assumed) 1281100 54 (assumed) 135950054 (assumed) 1381350054 (assumed) WINDNMR analysis for SCH-SiH3, C3,C5: Low field High field a b eq ax NB!: This data needs to be used to derive K, A and G #
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T corr k ab + k ba % a 1001556 1101556 1153956 12240056 (assumed) 12340056 (assumed) 1281100 56 (assumed) 135950056 (assumed) 154 (95000) 56 (assumed) WINDNMR analysis for SCH-SiH3, C2,C6: Low field High field a b eq ax NB!: This data needs to be used to derive K, A and G #
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130509: Paper by Hans J. Reich, Birgir Ö. Guðmundsson et al. Including rate constant detemination by WINDNMR et c.: See: http://www.chem.wisc.edu/areas/reich/papers/Reich-2001-JACS-123,8067-Amine-chelated-aryllithium.pdf http://www.chem.wisc.edu/areas/reich/papers/Reich-2001-JACS-123,8067-Amine-chelated-aryllithium.pdf Good ref. for standard transition state theory, which relates G # and k ab is: http://arxiv.org/ftp/arxiv/papers/0706/0706.1504.pdf (see also my notes, 130509;1-2) Main eq.: ; k = rate constant eq ax 56%44% G eq,ax G#G# eq ax
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K eq,ax = 44/56 = 0.786: G eq,ax = A = -RT ln(K eq,ax ); T = average T where K is determined in experiment, i.e. in the regin 100 – 115K, = = say 110K G eq,ax = A =G ax - G eq = -8.315 (J K -1 mol -1 )*110(T) ln(0.786) = 0.22 kJ mol -1 = 0.053 kcal mol -1 ; (see below) parametervalueunit R8.315J K-1 mol-1 T110K K0.785714286- %a56 %b44 DGeq,ax220.5788753J mol-1 DGeq,ax0.220578875kJ mol-1 G eq,ax 5.27E-02kcal mol -1 conversion factor2.39E-01kcal/kJ Does this make sense? 1) More details (from excel): G eq,ax and K eq,ax :
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1)To be compared, for example, with A = G ax – G eq = +0.4 kcal mol -1 derived for T = 113 for SCH-CF3, See: http://www3.hi.is/~agust/ritsmidar/SCHCF3nmredabinitio-0207.pdfhttp://www3.hi.is/~agust/ritsmidar/SCHCF3nmredabinitio-0207.pdf Determinaton of individual rate constants from the equilibrium constant (K eq,ax ) and “the rate constant sum” (k ab + k ba = k sum ) which is derived from the temperature dependend NMR data Comment / NB!: k ab = k eq,ax ; k ba = k ax,eq K eq,ax = k eq,ax /k ax,eq ; k eq,ax + k ax,eq = k sum ; => k eq,ax = k sum /(1 + (K eq,ax ) -1 ) k ax,eq = k sum /(1 + K eq,ax )
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T /Kk eq,ax + k ax,eq = k sum k eq,ax /s -1 k ax,eq /s -1 G # / kcal mol -1 1000 1107346.0 1153917225.9 1224001762245.7 1234001762245.7 12811004846165.7 1359500418153195.5 13813500594175595.5 Analysis for SCH-SiH3, C3,C5: K eq,ax = 0.786 Does this make sense?! : This can be compared with the value 5.5 kcal mol -1 for SCH-CF3, with coalescence point near 113K. ( http://www3.hi.is/~agust/ritsmidar/SCHCF3nmredabinitio-0207.pdf ) http://www3.hi.is/~agust/ritsmidar/SCHCF3nmredabinitio-0207.pdf ERGO: yes it makes sense!
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T corr k eq,ax + k ax,eq = k sum k eq,ax /s -1 k ax,eq /s -1 G # / kcal mol -1 10015785.3 11015785.8 1153917225.9 1224001762245.7 1234001762245.7 12811004846165.7 1359500418053195.5 154 (95000) Analysis for SCH-SiH3, C2,C6: K eq,ax = 0.786 Does this make sense?! : This can be compared with the value 5.5 kcal mol -1 for SCH-CF3, with coalescence point near 113K. ( http://www3.hi.is/~agust/ritsmidar/SCHCF3nmredabinitio-0207.pdf ) http://www3.hi.is/~agust/ritsmidar/SCHCF3nmredabinitio-0207.pdf ERGO: yes it makes sense!
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SCHSiH3, 130509ak C2,C6, 13 C-NMR, 250 MHz Simulation: Calc.: solid fat line Exp. : solid thin line Average G # eq,ax = 5.7 kcal mol -1 K eq,ax = 0.8 G eq,ax = 0.05 kcal mol -1 See also SCHSiH3-simul.figs.-130509ak.ppt
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G # / kcal mol -1 T/k C2,C6 C3,C5 See also PC,AK,...../SCHSiH3-DNMR-simul-figs-130509ak.pxp Average G # eq,ax = 5.7 kcal mol -1 ? Great uncertainty
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T corr k ab + k ba % a 1001551 1051345 1102446 1156946 (assumed) 170infinit53 (assumed) WINDNMR analysis for SCH-SiH3, C4: Low field High field a b eq ax NB!: This data needs to be used to derive K, A and G # 140509: ? ? ? 1) Could it be that eq and ax are reversed here / for C4? 1)
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T corr (K) 164 115 110 105 100 SCH-SiH3, C4: 140509:
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T/K G#G# Coefficient values ± one standard deviation a = 7.9532 ± 0.224 b = -0.017993 ± 0.00179 C3,C5 data => 140509:
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Coefficient values ± one standard deviation a = 7.9532 ± 0.224 = H # eq,compl. kcal mol -1 b = -0.017993 ± 0.00179 = - S # kcal mol -1 K -1 H # eq,compl. = + 8.0 kcal mol -1 S # eq,compl. = +18 cal mol -1 K -1 eq. complex involves increase in entropy G # = H # – T S # 140509: i.e.: Eq. 0 5 8 G#G# H#H# kcal mol -1 complex
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