1 / 37

I x I x cos w t + I y sin w t

Chemical shift. I x. I x I x cos w t + I y sin w t. w. I y. I x. I y I y cos w t - I x sin w t. Scalar coupling. I x. I x I x cos p Jt + 2 I y S z sin p Jt. J Is. 2I y S z. I x. I y I y cos p Jt - 2 I x S z sin p Jt. I x S z I x S z cos p Jt + 2 I y sin p Jt.

zanthe
Download Presentation

I x I x cos w t + I y sin w t

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript


  1. Chemical shift Ix IxIx coswt + Iy sin wt w Iy Ix IyIy coswt - Ix sin wt Scalar coupling Ix IxIx cos pJt + 2IySz sin pJt JIs 2IySz Ix IyIy cos pJt - 2IxSz sin pJt IxSzIxSz cos pJt + 2Iy sin pJt IySzIySz cos pJt - 2Ix sin pJt

  2. Iz Iz Iz -Ix -Ix -Iy -Iy Iy Ix Iy Iy Ix Ix -Iz -Iz JIzSz JIzSz -Iy -Ix -2IxSz -2IySz Iy 2IySz Ix 2IxSz

  3. Chemical shift evolution

  4. t I Chemical shift evolution w

  5. -Iy wI sinwIt coswIt Ix -Iy -y -Iy coswIt +IxsinwIt x

  6. scalar coupling

  7. t I S Scalar coupling pJIS

  8. -Iy JIS sinwpJIst cospJISt 2IxSz -Iy -y -Iy cospJISt +2IxSzsinwpJIst x

  9. Chemical shift evolution + scalar coupling

  10. t I S Chemical shift evolution w Scalar coupling pJ

  11. -Iy wI sinwIt coswIt Ix -Iy JIS cospJISt sinpJISt cospJISt sinpJISt IySz Ix IxSz -Iy -IycoswItcospJISt -Iy 1/2[cos(wI+pJIS)t+cos (wI-pJIS)t]

  12. Let’s play again Heteronuclear couplings Let us consider 2 different, consecutive delays

  13. t t’ I S Chemical shift evolution w Scalar coupling pJ

  14. -Iy wI coswIt sinwIt Ix -Iy JIS cospJISt cospJISt sinpJISt sinpJISt Ix -Iy 2IxSz 2IySz Ix -Iy 2IxSz 2IySz coswIt’ sinpJISt’ coswIt’ sinpJISt’ wI coswIt’ coswIt’ sinpJISt’ sinpJISt’ -Iy 2IySz Ix Iy Ix 2IxSz 2IySz -2IxSz sinpJISt’ sinpJISt’ cospJISt’ cospJISt’ cospJISt’ JIS sinpJISt’ sinpJISt’ sinpJISt’ cospJISt’ cospJISt’ cospJISt’ cospJISt’ sinpJISt’ sinpJISt’ Ix 2IySz cospJISt’ 2IySz -Ix Iy -2IxSz -2IxSz sinpJISt’ Iy -Iy 2IySz -Ix Ix 2IySz -Iy 2IxSz 2IxSz

  15. -IycoswItcospJIStcoswIt’cospJISt’ -Iycos2wItcos2pJISt Iycos2wItsin2pJISt IycoswItsinpJIStcoswIt’sinpJISt’ IysinwItcospJIStsinwIt’cospJISt’ Iysin2wItcos2pJISt -IysinwItsinpJIStsinwIt’sinpJISt’ -Iysin2wItsin2pJISt If t=t’

  16. -Iycos2wItcos2pJISt -Iycos2wIt[cos2pJISt-sin2pJISt] Iycos2wItsin2pJISt +Iysin2wIt[cos2pJISt -sin2pJISt] Iysin2wItcos2pJISt -Iysin2wItsin2pJISt -Iy[cos2wIt-sin2wIt ][cos2pJISt -sin2pJISt] Iy[coswI2t][sin2pJISt-cos2pJISt] -Iy[coswI2t][cospJIS2t]

  17. THE COSY EXPERIMENT

  18. COSY 90°x 90°x t1 t2 acq Is the “simplest” NMR experiment really simple?

  19. t I Chemical shift evolution w

  20. -Iy wI sinwIt coswIt Ix -Iy -y -Iy coswIt +IxsinwIt x

  21. t I S Scalar coupling pJIS

  22. -Iy JIS sinwpJIst cospJISt 2IxSz -Iy -y -Iy cospJISt +2IxSzsinwpJIst x

  23. t I S Chemical shift evolution w Scalar coupling pJ

  24. -Iy wI sinwIt coswIt Ix -Iy JIS cospJISt sinpJISt cospJISt sinpJISt IySz Ix IxSz -Iy -IycoswItcospJISt -Iy 1/2[cos(wI+pJIS)t+cos (wI-pJIS)t]

  25. COSY Now… if J=S

  26. -Iy wI coswIt sinwIt Ix -Iy JIS cospJISt cospJISt sinpJISt sinpJISt Ix -Iy 2IxSz 2IySz 90°x Ix -Iz 2IxSy -2IzSy coswIt’ sinpJISt’ wI coswIt’ sinpJISt’ 2IxSy -Iz Ix Iy 2IzSy -2IzSx -Iz cospJISt’ JIS sinpJISt’ sinpJISt’ 2IxSy cospJISt’ cospJISt’ sinpJISt’ sinpJISt’ cospJISt’ Iy -2IxSz -2IzSx -Iz -Sy 2IySz -Sx Ix 2IzSy 2IxSy

  27. Diagonal IysinwIt1cospJISt1sinwIt2cospJISt2 F(wI, wI) -SysinwIt1sinpJISt1sinwSt2sinpJISt2 Cross peak F(wI, ws)

  28. Diagonal IysinwIt1cospJISt1sinwIt2cospJISt2 F(wI, wI) Iy[1/2(sin(wI+pJIS)t1)+ ( sin(wI-pJIS)t1)]* [1/2(sin(wI+pJIS)t2)+ ( sin(wI-pJIS)t2)] -SysinwIt1sinpJISt1sinwSt2sinpJISt2 F(wI, ws) Cross peak Sy[1/2(cos(wI-pJIS)t1)- ( cos(wI+pJIS)t1)]* [1/2(cos(wI-pJIS)t2)- ( cos(wI+pJIS)t2)]

More Related