SlideShare uma empresa Scribd logo
1 de 6
Baixar para ler offline
Dr. Gerd Gemmecker
                                                       Room 5333a
                                                       Phone 2-8619
                                                       e-mail gemmecker@chem.wisc.edu
                                                              Gerd.Gemmecker@ch.tum.de

Chemistry 843 "Advanced NMR Spectroscopy"                                       © Gerd Gemmecker, 1999

This course will cover the theory required to understand and successfully implement the methods of
state-of-the-art NMR spectroscopy, with the stress laid on structure elucidation by multidimensional
(essentially 2D) NMR techniques.

What will be covered?
   ⇒ Introduction to the principles of NMR (including build-up of an NMR spectrometer, general
      features of Fourier transform, relaxation, folding, sensitivity etc.)
   ⇒ theory required for the understanding of important experiments (Cartesian product operators)
   ⇒ a selection of the most widely-used 2D NMR techniques
   ⇒ interpretation of these spectra

and what not?
   ⇒ quantum mechanical treatment of NMR (although some equations will occur!!!)
   ⇒ solid state NMR
   ⇒ working with NMR data bases
   ⇒ empirical correlations for chemical shifts (increment systems)

What is required?
   ⇒ knowledge of 1D NMR, J coupling patterns, chemical shift etc., e.g., Chemistry 605 or 626
   ⇒ regular (!) attention of the course, since most "individual sections" require an understanding of
      the previous ones.
   ⇒ "re-reading" (and "re-thinking"!) of the material on a regular basis, and working out your own
      solutions to the problems given in the course – to make sure that you have really grasped the
      concepts and developed a working knowledge!

Credits / Grades:
For credit, a report is required on an aspect of this course relevant to one's own research, or a
research proposal.
2



Some literature recommendations

Monographs

− A.Abragam "The principles of Nuclear Magnetism", Oxford University Press, 1978 (6. Auflage),
  ISBN 0-198-51236-9.
  (physics, very gut & very difficult to understand, the "old testament" of NMR)

− R. R. Ernst, G. Bodenhausen, A. Wokaun "Principles of NMR in One and Two Dimensions",
  Oxford Science Publ. 1987, ISBN 0-198-55647-0.
  (physical chemistry, very exact & very difficult, the "new testament")

− O. W. Sørensen, G. W. Eich, M. H. Levitt, G. Bodenhausen, R. R. Ernst, Progr. NMR Spectrosc.
  16, 163-192 (1983).
  (the original article about product operators, but very readable! – if you skip some paragraphs)

− R. K. Harris "Nuclear Magnetic Resonance Spectroscopy, A Physicochemical View", Longman
  Scientific & Technical 1986, ISBN 0-582-44653-8.
  (easily readable introduction to basic concepts, no modern techniques)

− J. N. S. Evans "Biomolecular NMR Spectroscopy", Oxford University Press 1995, ISBN 0-198-
  54766-8 (QP519.9.N83E94 1995).
  (stress on biomolecular NMR, incl. proteins & nucleic acids, but also including a compact, yet
  concise introduction, nice book, reasonably priced)

− H. Kessler, M. Gehrke, C. Griesinger, Angew. Chem. Int. Edn. Engl. 1988, 27, 490-536.
  ( good review on all 2D techniques, incl. product operator explanation, still up to date)

− W. R. Croasmun, W. M. K. Carlson, ed. "Two-Dimensional NMR Spectroscopy; Applications for
  Chemists and Biochemists", VCH 1994, ISBN 1-56081-664-3 (QD/96/N8/T87/1987).
  (mixture of introductory and application chapters, on heteronuclear spectroscopy etc., expensive)

− D. Shaw, "Fourier Transform NMR Spectroscopy", Elsevier Scientific Publishing Co., New
  York, 1976 (Res. QC/762/S45/2/1984).
   (good on principle and features of FT, otherwise outdated)
3


− H. Friebolin, "Basic One- and Two-Dimensional NMR Spectroscopy", VCH, 2nd ed., 1993
  (QP519.9/N83/F7513/1993).
  (introduction into principles and applications of 2D NMR, not much 2D theory)

− J. K. M. Sanders, B. K. Hunter, "Modern NMR Spectroscopy, A Guide for Chemists", Oxford
  University Press, 2nd ed. 1993 (QD/96/N8/S25).
  (no product operator description, but very good description of applications for 2D techniques,
  incl. example spectra).

− J. Cavanagh, W.J. Fairbrother, A. G> Palmer III, N. J. Skelton, "Protein NMR Spectroscopy,
  Principles and Practice", Academic Press, San Diego 1996, ISBN 0-12-164490-1 (QP551.P69726
  1995)
  (Lots of theory, quantum-mechanics & product operators, FT, relaxation measurements, despite
  title large section on 2D methods)


Journals




      J. Magn. Reson.                  Magn. Reson. Chem.               J. Biomol. NMR
   (technical & theoretical        (applications and data on        (methods development &
developments, also solid state   compounds; review-like papers     biomolecular applications)
           & imaging)             on practical aspects of NMR
                                  techniques, processing etc.)
4




"First Exam"
1. What do the following acronyms stand for?
   NMR
   FT
   COSY
   NOE

2. Please make a sketch of the 1H 1D spectrum of diethyl ether:




3. What's the size of the H1-H2 and the H2-H3 3J couplings?




4. What do you expect to learn in this course?




5. Do you have any specific subjects that you would like to be treated here?
5



Applications of NMR
in synthesis
for checking the results in a fast and efficient way, concern. connectivity purity.

determination of solution structure
with similar accuracy as x-ray analysis, allowing to detect differences between crystall
and solution structure, as well as influence of solvent.
currently limited to ca. 10 kDa without isotopic labeling, ca. 30-40 kDa with isotope 13C,
15
     N (and 2H) labeling (proteins & nucleic acids).

investigating intermolecular interactions
mostly for biologically active compunds, e.g.,
                            enzyme - inhibitor

                               DNA - intercalator or repressor

                            receptor - hormon oder substrate

                           antibody - antigen

important, since all biological functions are based on intermolecular interactions, quite
often in a very complex way (complexes higher than binary)

molecular dynamics
from relaxation measurements, the dynamic behaviour of molecules can be derived on
various time scales – important for understanding chemical & biochemical reactivity,
protein folding etc.

General course of an NMR study
from simple to increasingly complex models, e.g.,
                                                 1     13
1. selecting the nucleus to be studied (mostly H or C), often limited by the availability
      of larger amounts of the substanceand solubility (isotopic labeling).
2. optimizing measurement conditions (temperature, solvent, etc. - often skipped in
      routine NMR for organic synthesis)
3. assigning the resonances to the individual atom positions; for less complex molecules
      this can be done from 1D spectra considering the following parameters:
6


     a)    "signal intensities" (integrals!) proportional to number of nuclei

     b)    characteristic chemical shifts

     c)    J coupling patterns (to find neighbouring positions connected by bonds)

     d)    line widths (dependent on local flexibility, chemical exchange, proximity
           to quadrupolar nuclei or paramagnetic species)

  a complete assignment is a reliable proof for the postulated connectivity / formula;

4. after that, conformationally sensitive parameters can be used to derive information
  about the 3D arrangement, mostly J couplings and NOE effects.
5. additional experiments for measuring relaxation and exchange rates give additional
  information on dynamic aspects.




                Structural theory                                      NMR equivalent

alchemy          qualitative composition                     choice of nucleus / isotope

LIEBIG           quantitative composition                    signal intensities / integrals

GERHARD &        functional groups                           chemical shifts
LAURENT

KEKULÉ &         connectivity                                J coupling
COUPER

VAN'T HOFF &     spactial arrangement of atoms               NOE ⇒ distances
BARTON
                                                             J couplings ⇒ dihedrals

KARPLUS          dynamics                                    relaxation & exchange rates

Mais conteúdo relacionado

Mais procurados

Vibration arenas
Vibration arenasVibration arenas
Vibration arenas
mihaelz
 
Magnetic nanoparticles applications and bioavailability for cancer therapy
Magnetic nanoparticles applications and bioavailability for cancer therapyMagnetic nanoparticles applications and bioavailability for cancer therapy
Magnetic nanoparticles applications and bioavailability for cancer therapy
Pravin Chinchole
 
Nano comp lam method
Nano comp lam methodNano comp lam method
Nano comp lam method
skrokkam
 
A new gradient based step size controlled inverse eigen sensitivity algorithm...
A new gradient based step size controlled inverse eigen sensitivity algorithm...A new gradient based step size controlled inverse eigen sensitivity algorithm...
A new gradient based step size controlled inverse eigen sensitivity algorithm...
Subhajit Mondal
 
Magnetic domains and surface effects in hollow maghemite nanoparticles
Magnetic domains and surface effects in hollow maghemite nanoparticlesMagnetic domains and surface effects in hollow maghemite nanoparticles
Magnetic domains and surface effects in hollow maghemite nanoparticles
Cesar Diaz
 
Synthesis of superparamagnetic mg fe2
Synthesis of superparamagnetic mg fe2Synthesis of superparamagnetic mg fe2
Synthesis of superparamagnetic mg fe2
Anselmo Rodriguez
 
Magnetic nanoliposomes for combined hyperthermia and drug delivery
Magnetic nanoliposomes for combined hyperthermia and drug deliveryMagnetic nanoliposomes for combined hyperthermia and drug delivery
Magnetic nanoliposomes for combined hyperthermia and drug delivery
Priyank Kulshrestha
 

Mais procurados (18)

ACS 238th Meeting, 2009, Rasulev
ACS 238th Meeting, 2009, RasulevACS 238th Meeting, 2009, Rasulev
ACS 238th Meeting, 2009, Rasulev
 
Drug delivery and nanomedicine with nanomagnetic material
Drug delivery and nanomedicine with nanomagnetic materialDrug delivery and nanomedicine with nanomagnetic material
Drug delivery and nanomedicine with nanomagnetic material
 
Vibration arenas
Vibration arenasVibration arenas
Vibration arenas
 
CV_Tapta_Kanchan_Roy
CV_Tapta_Kanchan_RoyCV_Tapta_Kanchan_Roy
CV_Tapta_Kanchan_Roy
 
International Refereed Journal of Engineering and Science (IRJES)
International Refereed Journal of Engineering and Science (IRJES)International Refereed Journal of Engineering and Science (IRJES)
International Refereed Journal of Engineering and Science (IRJES)
 
Structural and Dielectric Properties of Lanthanum Substituted Lead ZirconateT...
Structural and Dielectric Properties of Lanthanum Substituted Lead ZirconateT...Structural and Dielectric Properties of Lanthanum Substituted Lead ZirconateT...
Structural and Dielectric Properties of Lanthanum Substituted Lead ZirconateT...
 
Magnetic nanoparticles applications and bioavailability for cancer therapy
Magnetic nanoparticles applications and bioavailability for cancer therapyMagnetic nanoparticles applications and bioavailability for cancer therapy
Magnetic nanoparticles applications and bioavailability for cancer therapy
 
magnetic nano particles in bio medical applications
magnetic nano particles in bio medical applicationsmagnetic nano particles in bio medical applications
magnetic nano particles in bio medical applications
 
Nano comp lam method
Nano comp lam methodNano comp lam method
Nano comp lam method
 
A new gradient based step size controlled inverse eigen sensitivity algorithm...
A new gradient based step size controlled inverse eigen sensitivity algorithm...A new gradient based step size controlled inverse eigen sensitivity algorithm...
A new gradient based step size controlled inverse eigen sensitivity algorithm...
 
Magnetic domains and surface effects in hollow maghemite nanoparticles
Magnetic domains and surface effects in hollow maghemite nanoparticlesMagnetic domains and surface effects in hollow maghemite nanoparticles
Magnetic domains and surface effects in hollow maghemite nanoparticles
 
Kalistratova L., Kireev A. Ordering and density amorphous phase of carbon-fib...
Kalistratova L., Kireev A. Ordering and density amorphous phase of carbon-fib...Kalistratova L., Kireev A. Ordering and density amorphous phase of carbon-fib...
Kalistratova L., Kireev A. Ordering and density amorphous phase of carbon-fib...
 
Synthesis of superparamagnetic mg fe2
Synthesis of superparamagnetic mg fe2Synthesis of superparamagnetic mg fe2
Synthesis of superparamagnetic mg fe2
 
Vol. 1 (3), 2014, 65‒70
Vol. 1 (3), 2014, 65‒70Vol. 1 (3), 2014, 65‒70
Vol. 1 (3), 2014, 65‒70
 
Greener cum chemical synthesis and characterization of Mg doped ZnS nanoparti...
Greener cum chemical synthesis and characterization of Mg doped ZnS nanoparti...Greener cum chemical synthesis and characterization of Mg doped ZnS nanoparti...
Greener cum chemical synthesis and characterization of Mg doped ZnS nanoparti...
 
Magnetic nanoliposomes for combined hyperthermia and drug delivery
Magnetic nanoliposomes for combined hyperthermia and drug deliveryMagnetic nanoliposomes for combined hyperthermia and drug delivery
Magnetic nanoliposomes for combined hyperthermia and drug delivery
 
Study of Structural and Dielectric properties of BaTiO3 Doped with Mg-Cu-Zn F...
Study of Structural and Dielectric properties of BaTiO3 Doped with Mg-Cu-Zn F...Study of Structural and Dielectric properties of BaTiO3 Doped with Mg-Cu-Zn F...
Study of Structural and Dielectric properties of BaTiO3 Doped with Mg-Cu-Zn F...
 
Site-specific measurement of the giant magnetoresistance (GMR) of individual ...
Site-specific measurement of the giant magnetoresistance (GMR) of individual ...Site-specific measurement of the giant magnetoresistance (GMR) of individual ...
Site-specific measurement of the giant magnetoresistance (GMR) of individual ...
 

Semelhante a Chem843 1

nuclearmagneticresonance-180329132838.pdf
nuclearmagneticresonance-180329132838.pdfnuclearmagneticresonance-180329132838.pdf
nuclearmagneticresonance-180329132838.pdf
Monukumawat7
 
Lenhardt Nat Nano
Lenhardt Nat NanoLenhardt Nat Nano
Lenhardt Nat Nano
jlenhardt
 
Nmr Spectroscopy In B Iology
Nmr Spectroscopy In B IologyNmr Spectroscopy In B Iology
Nmr Spectroscopy In B Iology
ashu_yende
 

Semelhante a Chem843 1 (20)

nuclearmagneticresonance-180329132838.pdf
nuclearmagneticresonance-180329132838.pdfnuclearmagneticresonance-180329132838.pdf
nuclearmagneticresonance-180329132838.pdf
 
Nuclear magnetic resonance
Nuclear magnetic resonanceNuclear magnetic resonance
Nuclear magnetic resonance
 
organic-spectroscopic-analysis
organic-spectroscopic-analysisorganic-spectroscopic-analysis
organic-spectroscopic-analysis
 
2D NMR.pptx
2D NMR.pptx2D NMR.pptx
2D NMR.pptx
 
Solid State NMR
Solid State NMRSolid State NMR
Solid State NMR
 
2D NMR ORGANIC SPECTROSCOPY by DR ANTHONY CRASTO
2D NMR ORGANIC SPECTROSCOPY by DR ANTHONY CRASTO2D NMR ORGANIC SPECTROSCOPY by DR ANTHONY CRASTO
2D NMR ORGANIC SPECTROSCOPY by DR ANTHONY CRASTO
 
Lenhardt Nat Nano
Lenhardt Nat NanoLenhardt Nat Nano
Lenhardt Nat Nano
 
2DNMRSpectroscopy_Advancedspectralanalysis (1).pdf
2DNMRSpectroscopy_Advancedspectralanalysis (1).pdf2DNMRSpectroscopy_Advancedspectralanalysis (1).pdf
2DNMRSpectroscopy_Advancedspectralanalysis (1).pdf
 
NMR, principle and instrumentation by kk sahu sir
NMR, principle and instrumentation by kk sahu sirNMR, principle and instrumentation by kk sahu sir
NMR, principle and instrumentation by kk sahu sir
 
Nuclear Magnetic Resonance
Nuclear Magnetic ResonanceNuclear Magnetic Resonance
Nuclear Magnetic Resonance
 
9
99
9
 
NMRbySSS.Complete-1.pptx
NMRbySSS.Complete-1.pptxNMRbySSS.Complete-1.pptx
NMRbySSS.Complete-1.pptx
 
Nmr Spectroscopy In B Iology
Nmr Spectroscopy In B IologyNmr Spectroscopy In B Iology
Nmr Spectroscopy In B Iology
 
James Keeler - Understanding NMR spectroscopy-Wiley (2005).pdf
James Keeler - Understanding NMR spectroscopy-Wiley (2005).pdfJames Keeler - Understanding NMR spectroscopy-Wiley (2005).pdf
James Keeler - Understanding NMR spectroscopy-Wiley (2005).pdf
 
understanding-nmr-spectroscopy
understanding-nmr-spectroscopyunderstanding-nmr-spectroscopy
understanding-nmr-spectroscopy
 
Nuclear magnetic resonance (NMR) GULSHAN.pptx
Nuclear magnetic resonance (NMR) GULSHAN.pptxNuclear magnetic resonance (NMR) GULSHAN.pptx
Nuclear magnetic resonance (NMR) GULSHAN.pptx
 
T21 IB Chemistry- Spectroscopy continued
T21 IB Chemistry- Spectroscopy continued T21 IB Chemistry- Spectroscopy continued
T21 IB Chemistry- Spectroscopy continued
 
skoog_-_principles_of_instrumental_analysis__2nd_ed__1980.pdf
skoog_-_principles_of_instrumental_analysis__2nd_ed__1980.pdfskoog_-_principles_of_instrumental_analysis__2nd_ed__1980.pdf
skoog_-_principles_of_instrumental_analysis__2nd_ed__1980.pdf
 
Analytical NMR
Analytical NMRAnalytical NMR
Analytical NMR
 
NMR
NMRNMR
NMR
 

Chem843 1

  • 1. Dr. Gerd Gemmecker Room 5333a Phone 2-8619 e-mail gemmecker@chem.wisc.edu Gerd.Gemmecker@ch.tum.de Chemistry 843 "Advanced NMR Spectroscopy" © Gerd Gemmecker, 1999 This course will cover the theory required to understand and successfully implement the methods of state-of-the-art NMR spectroscopy, with the stress laid on structure elucidation by multidimensional (essentially 2D) NMR techniques. What will be covered? ⇒ Introduction to the principles of NMR (including build-up of an NMR spectrometer, general features of Fourier transform, relaxation, folding, sensitivity etc.) ⇒ theory required for the understanding of important experiments (Cartesian product operators) ⇒ a selection of the most widely-used 2D NMR techniques ⇒ interpretation of these spectra and what not? ⇒ quantum mechanical treatment of NMR (although some equations will occur!!!) ⇒ solid state NMR ⇒ working with NMR data bases ⇒ empirical correlations for chemical shifts (increment systems) What is required? ⇒ knowledge of 1D NMR, J coupling patterns, chemical shift etc., e.g., Chemistry 605 or 626 ⇒ regular (!) attention of the course, since most "individual sections" require an understanding of the previous ones. ⇒ "re-reading" (and "re-thinking"!) of the material on a regular basis, and working out your own solutions to the problems given in the course – to make sure that you have really grasped the concepts and developed a working knowledge! Credits / Grades: For credit, a report is required on an aspect of this course relevant to one's own research, or a research proposal.
  • 2. 2 Some literature recommendations Monographs − A.Abragam "The principles of Nuclear Magnetism", Oxford University Press, 1978 (6. Auflage), ISBN 0-198-51236-9. (physics, very gut & very difficult to understand, the "old testament" of NMR) − R. R. Ernst, G. Bodenhausen, A. Wokaun "Principles of NMR in One and Two Dimensions", Oxford Science Publ. 1987, ISBN 0-198-55647-0. (physical chemistry, very exact & very difficult, the "new testament") − O. W. Sørensen, G. W. Eich, M. H. Levitt, G. Bodenhausen, R. R. Ernst, Progr. NMR Spectrosc. 16, 163-192 (1983). (the original article about product operators, but very readable! – if you skip some paragraphs) − R. K. Harris "Nuclear Magnetic Resonance Spectroscopy, A Physicochemical View", Longman Scientific & Technical 1986, ISBN 0-582-44653-8. (easily readable introduction to basic concepts, no modern techniques) − J. N. S. Evans "Biomolecular NMR Spectroscopy", Oxford University Press 1995, ISBN 0-198- 54766-8 (QP519.9.N83E94 1995). (stress on biomolecular NMR, incl. proteins & nucleic acids, but also including a compact, yet concise introduction, nice book, reasonably priced) − H. Kessler, M. Gehrke, C. Griesinger, Angew. Chem. Int. Edn. Engl. 1988, 27, 490-536. ( good review on all 2D techniques, incl. product operator explanation, still up to date) − W. R. Croasmun, W. M. K. Carlson, ed. "Two-Dimensional NMR Spectroscopy; Applications for Chemists and Biochemists", VCH 1994, ISBN 1-56081-664-3 (QD/96/N8/T87/1987). (mixture of introductory and application chapters, on heteronuclear spectroscopy etc., expensive) − D. Shaw, "Fourier Transform NMR Spectroscopy", Elsevier Scientific Publishing Co., New York, 1976 (Res. QC/762/S45/2/1984). (good on principle and features of FT, otherwise outdated)
  • 3. 3 − H. Friebolin, "Basic One- and Two-Dimensional NMR Spectroscopy", VCH, 2nd ed., 1993 (QP519.9/N83/F7513/1993). (introduction into principles and applications of 2D NMR, not much 2D theory) − J. K. M. Sanders, B. K. Hunter, "Modern NMR Spectroscopy, A Guide for Chemists", Oxford University Press, 2nd ed. 1993 (QD/96/N8/S25). (no product operator description, but very good description of applications for 2D techniques, incl. example spectra). − J. Cavanagh, W.J. Fairbrother, A. G> Palmer III, N. J. Skelton, "Protein NMR Spectroscopy, Principles and Practice", Academic Press, San Diego 1996, ISBN 0-12-164490-1 (QP551.P69726 1995) (Lots of theory, quantum-mechanics & product operators, FT, relaxation measurements, despite title large section on 2D methods) Journals J. Magn. Reson. Magn. Reson. Chem. J. Biomol. NMR (technical & theoretical (applications and data on (methods development & developments, also solid state compounds; review-like papers biomolecular applications) & imaging) on practical aspects of NMR techniques, processing etc.)
  • 4. 4 "First Exam" 1. What do the following acronyms stand for? NMR FT COSY NOE 2. Please make a sketch of the 1H 1D spectrum of diethyl ether: 3. What's the size of the H1-H2 and the H2-H3 3J couplings? 4. What do you expect to learn in this course? 5. Do you have any specific subjects that you would like to be treated here?
  • 5. 5 Applications of NMR in synthesis for checking the results in a fast and efficient way, concern. connectivity purity. determination of solution structure with similar accuracy as x-ray analysis, allowing to detect differences between crystall and solution structure, as well as influence of solvent. currently limited to ca. 10 kDa without isotopic labeling, ca. 30-40 kDa with isotope 13C, 15 N (and 2H) labeling (proteins & nucleic acids). investigating intermolecular interactions mostly for biologically active compunds, e.g., enzyme - inhibitor DNA - intercalator or repressor receptor - hormon oder substrate antibody - antigen important, since all biological functions are based on intermolecular interactions, quite often in a very complex way (complexes higher than binary) molecular dynamics from relaxation measurements, the dynamic behaviour of molecules can be derived on various time scales – important for understanding chemical & biochemical reactivity, protein folding etc. General course of an NMR study from simple to increasingly complex models, e.g., 1 13 1. selecting the nucleus to be studied (mostly H or C), often limited by the availability of larger amounts of the substanceand solubility (isotopic labeling). 2. optimizing measurement conditions (temperature, solvent, etc. - often skipped in routine NMR for organic synthesis) 3. assigning the resonances to the individual atom positions; for less complex molecules this can be done from 1D spectra considering the following parameters:
  • 6. 6 a) "signal intensities" (integrals!) proportional to number of nuclei b) characteristic chemical shifts c) J coupling patterns (to find neighbouring positions connected by bonds) d) line widths (dependent on local flexibility, chemical exchange, proximity to quadrupolar nuclei or paramagnetic species) a complete assignment is a reliable proof for the postulated connectivity / formula; 4. after that, conformationally sensitive parameters can be used to derive information about the 3D arrangement, mostly J couplings and NOE effects. 5. additional experiments for measuring relaxation and exchange rates give additional information on dynamic aspects. Structural theory NMR equivalent alchemy qualitative composition choice of nucleus / isotope LIEBIG quantitative composition signal intensities / integrals GERHARD & functional groups chemical shifts LAURENT KEKULÉ & connectivity J coupling COUPER VAN'T HOFF & spactial arrangement of atoms NOE ⇒ distances BARTON J couplings ⇒ dihedrals KARPLUS dynamics relaxation & exchange rates