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TRANSCRIPT
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Saint Petersburg State University Faculty of Physics
Department of Quantum Magnetic Phenomena
International Symposium and Summer School
in Saint Petersburg
Nuclear Magnetic Resonance in Condensed Matter
8th
meeting: “NMR in Life Sciences”
June 27 – July 1 2011
Book of Abstracts
Saint Petersburg, Russia 2011
an AMPERE event
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International Symposium and Summer School in Saint Petersburg
Nuclear Magnetic Resonance in Condensed Matter
8th meeting: “NMR in Life Sciences” June 27 – July 1 2011
an
AMPERE event
ББК В334.2, Г512 М43
Department of Quantum Magnetic Phenomena Faculty of Physics Saint Petersburg State University Saint Petersburg, 198504, Russia
http://nmr.phys.spbu.ru/nmrcm/
M43 Nuclear Magnetic Resonance in Condensed Matter: abstracts of the International Symposium and Summer School, 8th meeting: “NMR in Life Sciences” – Saint Petersburg: “Solo” Publisher, 2011. – 120 p. ISBN
Symposium and Summer School are supported by:
• Saint Petersburg University • Russian Foundation for Basic Research • Dynasty Foundation
With assistance of
• Saint Petersburg Regional Public Foundation for the Development of Physical Faculty
International Advisory Board
V. Balevicius (Vilnius, Lithuania)
V. I. Chizhik (Saint Petersburg, Russia)
J. Fraissard (Paris, France)
H. Haranczyk (Kraków, Poland)
S. Jurga (Poznań, Poland)
O. B. Lapina (Novosibirsk, Russia)
D. Michel (Leipzig, Germany)
V. I. Minkin (Rostov-on-Don, Russia)
K. V. Ramanathan (Bangalore, India)
R. Z. Sagdeev (Novosibirsk, Russia)
K. M. Salikhov (Kazan, Russia)
A. V. Skripov (Ekaterinburg, Russia)
M. S. Tagirov (Kazan, Russia)
Organizing Committee Members:
S. F. Boureiko
A. S. Chirtsov
A. V. Donets
A. V. Egorov
V. V. Frolov
V. S. Kasperovich
V. V. Matveev
Layout of Abstracts Book: A. A. Levantovsky
Co-Chairmen:
V. I. Chizhik R. Z. Sagdeev (Novosibirsk)
Vice-Chairmen:
A. V. Komolkin M. G. Shelyapina
Registered names, trademarks, etc. used in this book, even without specific indication thereof, are not to be considered unprotected by law.
ISBN ББК В334.2, Г512
© Organizing Committee NMRCM 2011, Saint Petersburg, 2011. © “Solo” Publisher, Saint Petersburg, 2011. Printed in Russian Federation.
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– 3 – NMRCM 2011, Saint Petersburg, Russia, June 27 – July 1, 2011
Contents
I. Lectures .................................................................................................................. 9
V. A. Chertkov, A. V. Chertkov, T. A. Ganina, O. I. Pokrovsky, A. A. Pushkareva, A. K. Shestakova
Ultra fast conformational dynamics as studied by vibration effects in NMR spectroscopy ............................. 11
Vladimir I. Chizhik
On the problem of the theoretical description of relaxation in a system of two identical spins ..................... 12
Sergey V. Dvinskikh
NMR imaging studies of wood moisture interaction ........................................................................................ 13
Karl Flisinski, R. V. Cherbunin, M. Yu. Petrov, M. S. Kuznetsova, I. V. Ignatiev, D. R. Yakovlev, M. Bayer
Optically detected NMR under resonant pumping of nuclear spins in self-assembled InGaAs
quantum dots .................................................................................................................................................... 14
H. Harańczyk
Tricks and traps of the NMR relaxometry of ultra dry biological systems and extremophilic organisms ........ 15
O. B. Lapina, D. F. Khabibulin, V. V. Terskikh
Multinuclear solid state NMR Study of Silica Fiberglass Modified with Zirconia ............................................. 16
S. Leclerc, M. Petryk, D. Canet, J. Fraissard
Competitive Diffusion of Gases in a Zeolite Using A Slice Selection Procedure ............................................... 17
K. V. Ramanathan
Cross-Polarization and Variable Angle Spinning Applied to Oriented Systems ................................................ 18
Tatiana N. Smekalova, Andrey V. Chudin, Aleksey E. Pasumansky
New discoveries of archaeological sites in western Crimea with help of magnetometry ................................ 19
Vitaly I. Volkov
Pulsed Field Gradient NMR for biological membranes and model systems investigations ............................. 20
II. Oral Reports ......................................................................................................... 21
Danila A. Barskiy, Kirill V. Kovtunov, Igor V. Koptyug
Strong NMR signal enhancement by Parahydrogen Induced Polarization (PHIP) for study mechanism
of heterogeneous hydrogenation ..................................................................................................................... 23
Alexey V. Donets, Vladimir I. Chizhik, Sergey V. Dvinskikh, and Dieter Michel
Solvation and hydration properties of organic molecules in complex solutions .............................................. 24
Tatiana P. Kulagina, Grigorii E. Karnaukh, Lev P. Smirnov
Line Shape NMR and Crystalliniti Degree in Biopolymers ................................................................................ 25
G. S. Kupriyanova, S. V. Molchanov, I. G. Mershiev, G. V. Mozzhukhin
The detection of NQR on the base of pattern signal ........................................................................................ 26
Dmitry A. Lysak, Alexander A. Marinin, Aleksandr F. Shestakov, Vitaly I. Volkov
Investigation of ion solvation in LiClO4 – ethylene carbonate solution ............................................................ 27
Vladimir V. Matveev, Petri Ingman
Experimental NMR indications of heterogeneous local structure of ionic liquid–water mixtures and
nonequeous solutions of tetraalkylammonium (TAA) salts .............................................................................. 28
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NMRCM 2011, Saint Petersburg, Russia, June 27 – July 1, 2011 – 4 –
A. A. Mistonov, N. A. Grigoryeva, S. V. Grigoriev, A. V. Vasilieva, K. S. Napolskii, N. A. Sapoletova,
A. A. Eliseev, A. V. Petukhov, D. V. Byelov, D. Yu. Chernyshov, H. Eckerlebe
Structural and magnetic properties of inverse opal photonic crystals studied by small-angle x-ray and
polarized neutron diffraction ............................................................................................................................ 29
Vladimir S. Neverov, Anderei V. Komolkin, Tatiana G. Volkova
Conformational structure and dynamics of two isomers, MBBA and BOBT, in liquid crystalline state ........... 30
Manuel Podrecca, Noella Taranto, Virgine Delsinne, Jean M. Colet
H-NMR based metabonomics applied to an early developmental pathology, the preeclampsia .................... 31
P. I. Polyakov, A. S. Mazur
Laws of elasticity in the physical processes influence of parameters (TPH) on the properties and
structural phase transitions .............................................................................................................................. 32
Peter M. Tolstoy, Benjamin Koeppe, Jing Guo, Erik T. J. Nibbering, Thomas Elsaesser,
Hans-Heinrich Limbach
Reaction Pathways of Proton Transfer in Anionic OHO Hydrogen Bonded Complexes Explored by
UVNMR .............................................................................................................................................................. 33
H. S. Vinay Deepak and K. V. Ramanathan
Effect of biaxiality on the measurement of molecular parameters of oriented solutes .................................. 34
Vladimir Ya. Volkov, Yury А. Vikharev, Maxim A. Kleimenov
Simultaneous measurement of FID’s and CPMG echo curves and their joint mathematical processing ........ 35
III. Poster Session ..................................................................................................... 37
Victor V. Alexandriysky, Elena V. Bobritskaya, Vladimir A. Burmistrov
13С NMR study of H-complex cyanosubstituted liquid crystal – non-mesogens ............................................... 39
Victor V. Alexandriysky, Elena V. Bobritskaya, Sofija A. Kuvshinova, Vladimir A. Burmistrov 1H NMR study of orientational ordering of LC mixtures ................................................................................... 40
Anatoly D. Alexeev, Tatyana А. Vasilenko, Andrey K. Kirillov, Alexander N. Molchanov,
Grigoriy A. Troitsky, Andrey V. Vyshnyakov
Mass transfer of methane in coal according to the 1H NMR ............................................................................ 41
Nikolay V. Anisimov, Svetlana S. Koretskaya, Kseniya L. Volkova, Mikhail V. Gulyaev,
Valery B. Petukhov, Yuri A. Pirogov
Simultaneous suppression of fat and water signals by combination of Dixon and inversion recovery
methods in MRI ................................................................................................................................................. 42
Marina L. Antipova, Alexey A. Medvedev, Valentina E. Petrenko
Hydrogen bond lifetime in water: simulation details ....................................................................................... 43
Maria I. Averina, Andrei V. Egorov
Microstructure of 13 m LiNO3 – 6.5 m Ca(NO3)2 – H2O ternary system at 25oC. A molecular dynamics
simulation study ................................................................................................................................................ 44
S. E. Belov, K. V. Ershov
Double nuclear gamma-magnetic resonance spectrometer in the “Euro-mechanics” bin .............................. 45
Yu. Bogachev, Yu. Chernenko, V. Drapkin, M. Knyazev, Ya. Marchenko, V. Frolov
Application of Double Electron-Nuclear Magnetization Transfer in Low-Field MRI ......................................... 46
Gregory V. Bondar, Victor V. Shevchenko, Peter I. Poljakov, Tatyana A. Ryumshyna
Influence of the magnetic field on indices of the blood ................................................................................... 47
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– 5 – NMRCM 2011, Saint Petersburg, Russia, June 27 – July 1, 2011
I. G. Borodkina, V. V. Chesnokov, T. A. Kuz’menko, E. V. Korshunova, A. I. Uraev, I. S. Vasilchenko,
A. S. Burlov, G. S. Borodkin
Multinuclear and two-dimensional NMR spectroscopy of heterocyclic shiff bases and their zinc and
cadmium complexes ......................................................................................................................................... 48
C. Casieri and F. De Luca
Sub-diffusive dynamics of water in Nafion membrane .................................................................................... 49
A. V. Chernyak, Yu. S. Naumova 1H NMR study of proton dynamics in 12-Tungstophosphoric acid and its cesium and ammonium salts
at different environment humidity ................................................................................................................... 50
Yuri S. Chernyshev, Ekaterina S. Shemetova, Evgenia A. Safonova
Selfdiffusion of ionic liquids in water by NMR of 1H and
2H ............................................................................. 51
V. I. Chizhik, N. M. Vecherukhin, Y. S. Chernyshev
NMR detection of liquid in closed conducting cans .......................................................................................... 52
Georgy Chuiko, Vladimir Buzko, Igor Sukhno
The DFT calculations of 139
La and 19
F NMR chemical shifts in molten LaF3 ....................................................... 53
Georgy Chuiko, Denis Kashaev, Vladimir Buzko, Igor Sukhno
The 15
N NMR in 1-n-Butyl-3-Methyl-Imidazolium Chloride .............................................................................. 54
A. Danilova, E. Kurenkova, A. Vyvodceva, V. S. Kasperovich, M. G. Shelyapina, A. Ievlev,
A. G. Aleksanyan, S. K. Dolukhanyan, N. E. Skryabina
1H NMR study of hydrides of binary Ti-V disordered alloys synthesized by the SHS method .......................... 55
Sergey A. Dontsov, Alexandr V. Ievlev
To a question on correct division of relaxation contributions .......................................................................... 56
S. V. Dushina, V. А. Sharnin, G. А. Gamov, V. V. Alexandriysky
NMR study of nicotinamide-silver(I) coordination equilibrium members solvation in water-ethanol
solvent ............................................................................................................................................................... 57
Stepan S. Dzhimak, Mihail G. Barishev, Nikolay S. Vasiliev, Denis V. Kashaev, Denis I. Shashkov
Research of influence of the deuterium content in water solution NaCl on backs-spin relaxation 23
Na ......... 58
Galina N. Fedyukina, Sergey F. Biketov, Vladimir Ya. Volkov
H1-relaxation technique for diagnosticums’ testing in vitro ............................................................................. 59
Egor Gerts, Igor Kobylin, Anderei V. Komolkin, Vladimir A. Burmistrov, Viktor V. Alexandriysky
Structure of HO-6OCB liquid crystal from fully atomistic molecular dynamics simulation .............................. 60
Dariya L. Gurina, Valentina E. Petrenko, Marina L. Antipova
The structure of supercritical methanol-water solution ................................................................................... 61
H. Harańczyk, M. Florek, P. Nowak and S. Knutelski
Water bound in Donus comatus (Bohemann in Schoenherr, 1842) elytra as recorded by proton
relaxation and sorption isotherm ..................................................................................................................... 62
H. Harańczyk, J. Kobierski, D. Zalitacz, P. Nowak, A. Romanowicz, M. Marzec, and J. Nizioł
Rehydration of BA modified DNA powders by proton NMR ............................................................................. 63
H. Harańczyk, P. Nowak, M. Florek, M. A. Olech
Bound water freezing in Antarctic Cetraria aculeata (Schreb.) Fr. by proton NMR spectra ............................ 64
Oksana Ilina, Vyacheslav V. Frolov
Computer simulation of the image reconstruction using Fresnel transform ................................................... 65
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NMRCM 2011, Saint Petersburg, Russia, June 27 – July 1, 2011 – 6 –
Vladimir Karbovskii, Svitlana Smolyak, Yuriy Zagorodniy, Anatoliy Kalinichenko, Elena Kalinichenko
Studying the mechanism formation of nanosized bone apatite by the 1H MAS NMR ..................................... 66
Nikole Karlina, Konstantin Tutukin
Research of stability of a main magnetic field of a low-frequency MRI installation ........................................ 67
Nikolay S. Klekhta, Victor I. Tarkhanov
Using chirp signals to measure NMR line shape in a lithium ferrite sample .................................................... 68
K. Klyukin, M. G. Shelyapina
Hcp-bcc structural phase transformation of magnesium: ab initio calculations .............................................. 69
K. Klyukin, M. G. Shelyapina, D. Fruchart
Ab initio studies of magnesium-based alloys and their hydride: phase stability and electronic structure ...... 70
N. Krivko, M. G. Shelyapina
Electronic structure and Fe-V magnetic coupling in YFe8V4 .............................................................................. 71
Tatiana P. Kulagina, Grigorii E. Karnaukh, Anastasia N. Kuzina, Lev P. Smirnov
Diffusion Attenuation of NMR Spin Echo of Elastic Polymers........................................................................... 72
Sergey E. Kurnikov, Alexey V. Donets
Symmetry of Na+
hydration shells in electrolyte solutions by NMR-relaxation and quantum-chemical
calculations ....................................................................................................................................................... 73
Vladimir S. Kuzmin, Vladimir M. Kolesenko
Amplitude of single-pulse nuclear spin echo in magnetically ordered media in non-resonant excitation ...... 74
Mariia I. Lomovska, Stanislav I. Selivanov, Alexander A. Kasatochkin, Alexander A. Petrov
Structure elucidation of pyrazolo[1,5-a]pyrimidines fused cycloalkanes rings by NMR spectroscopy ............ 75
Ya. Yu. Marchenko, B. P. Nikolaev, L. Yu. Yakovleva, M. G. Ilyin, I. N. Voevodina
The study of magnetic porous glass microcarriers by NMR relaxometry analysis ........................................... 76
Denis A. Markelov, Maria V. Popova
Investigation of Dendrimer-Surfactant-Water Systems ................................................................................... 77
Ellina Martynchuk, Roza Aminova
Application of molecular dynamic simulations for study of 31
P chemical shifts in solutions ........................... 78
А. S. Мazur
Study of the nature of the ferromagnetic metallic phase separation in manganites
La1-xCaxMnO3 (x = 0.2, 0.3) ................................................................................................................................ 79
Aleksei A. Medvedev, Andrei V. Guryanov, Marina L. Antipova, Valentina E. Petrenko
Efficiency of conventional computer equipment for molecular dynamics simulations ................................... 80
I. G. Mershiev, G. S. Kupriyanova
Multifractal formalism applied to stochastic NQR ............................................................................................ 81
G. V. Mozzhukkin, B. Z. Rameev, R. R. Khusnutdinov, I. Kh. Khabibulin, N. Doğan, B. Aktaş
Three-frequency composite multipulse nuclear quadrupole resonance (NQR) technique for explosive
detection ........................................................................................................................................................... 82
Ivan V. Pleshakov, Stanislav I. Goloschapov, Alexandr P. Paugurt, Yuriy I. Kuzmin, Vladimir V. Matveev,
Valentin I. Dudkin, Viktor I. Tarkhanov, Artem I. Yavtushenko, Yakov A. Fofanov
Peculiarities of the spin echo behavior in a ferrite material under the moving along the magnetization
curve .................................................................................................................................................................. 83
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– 7 – NMRCM 2011, Saint Petersburg, Russia, June 27 – July 1, 2011
A. A. Pushkareva, A. K. Shestakova, V. A. Chertkov 15
N NMR spectral parameters for structure elucidation and conformational analysis. Indole, quinoline
and substituted azobenzenes ........................................................................................................................... 84
Dmitrii F. Pyreu, Evgenii V. Kozlovskii, Matvei S. Gruzdev
NMR and thermodynamic studies of some mixed ligand lanthanide(III) ethylenediaminetetraacetate
complexes in solution ....................................................................................................................................... 85
Sevastyan O. Rabdano, Alexey V. Donets
Hydration of Alanine in aqueous solution as studied by NMR-relaxation and quantum-chemical
methods ............................................................................................................................................................ 86
Dmitriy L. Raev, Maria V. Popova
Computer Simulations of Self-Association Processes in Surfactant-Dendrimer-Water Systems ..................... 87
Boris V. Sakharov, Tatiana Kornushina, Galina Sakharova, Sergey N. Viryasov
Influence of temperature on 1H NMR relaxation parameters of agar powders with different water
contents ............................................................................................................................................................ 88
Maxim M. Senichev, Andrey S. Kuklin, Vladimir V. Matveev
NMR study of nonaqueous solutions of tetraalkylammonium (TAA) salts ....................................................... 89
Danila Sergeyev, Viacheslav Frolov
Mapping of the high-frequency magnetic field using MR imaging ................................................................... 90
Andrei N. Shishkin, Denis A. Markelov
NMR Relaxation Studies of Carbosilane Dendrimers ........................................................................................ 91
E. V. Shishmakova
Temperature dependences of proton spin-lattice relaxation rates of the carbosilane dendrimer
functional groups in the dilute chloroform solution ......................................................................................... 92
Anna Shmyreva, Aleksandr Vdovin
The 59
Co NMR study of nanostructural Co powders ......................................................................................... 93
Nikolay A. Sirotkin, Daria L. Gurina, Marina L. Antipova
Influence of technical parameters on the accuracy of density functional theory for CPMD simulations
of water ............................................................................................................................................................. 94
Vladimir V. Sizov, Stanislav V. Burov, Anastasia A. Shapovalova, Alexandr Ievlev, and
Yuri S. Chernyshev
Molecular dynamics simulation study of competitive solvation of Li+ and ClO4
– ions in
water/acetonitrile solutions ............................................................................................................................. 95
Nikolay S. Vasilyev, Denis V. Kashaev, Mihail G. Barishev
The spin-lattice relaxation and chemical shift of the deuterium in H2O-D2O system ....................................... 96
S. G. Vasil’ev, D. V. Mischenko, A. Yu. Rybkin, A. I. Kotelnikov, Vitaly I. Volkov
Water self-diffusion behavior in yeast cells studied by pulsed field gradient NMR ......................................... 97
S. G. Vasil’ev, Vitaly I. Volkov
Characterization of water-in-crude-oil emulsions by pulsed field gradient NMR ............................................ 98
Andrey A. Vinokurov
Ligand hyperfine structure in the EPR of superionic CaF2:Eu2+
single crystals.................................................. 99
Vladimir Ya. Volkov, Alexsei V. Stepanov
NMR method for testing of encapsulated dry medicines ............................................................................... 100
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NMRCM 2011, Saint Petersburg, Russia, June 27 – July 1, 2011 – 8 –
Mikhail A. Vovk, Mariya S. Pavlova, Vladimir I. Chizhik, and Dieter Michel
Investigation of microstructure of hydration shells of ions containing COO- group by NMR-relaxation
and quantum-chemical methods .................................................................................................................... 101
Alexander Yakimov, Kirill Nerinovski, Georgy Rychkov, Konstantin Shabalin, Alexander Dikiy
Study of the interaction between mammalian MsrB1 and Trx proteins by NMR .......................................... 102
A. I. Zhernovoy, Y. R. Rudakov
Investigation of condition formation nonmagnetic conglomerate in sol of paramagnetic nanoparticles
by NMR method .............................................................................................................................................. 103
Author Index .......................................................................................................... 105
List of Participants ................................................................................................. 107
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Part I
Lectures
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– 11 – NMRCM 2011, Saint Petersburg, Russia, June 27 – July 1, 2011
Ultra fast conformational dynamics as studied by vibration
effects in NMR spectroscopy
V. A. Chertkov1, A. V. Chertkov1, T. A. Ganina1, O. I. Pokrovsky1, A. A. Pushkareva1, A. K. Shestakova2
1Department of Chemistry, Moscow State University, 1 Leninskie Gory, Moscow, 119992, Russia 2State Research Institute of Chemistry and Technology of Organoelement Compounds, 38
Shosse Entuziastov, Moscow, 111123, Russia
E-mail: [email protected]
1. Introduction Dynamic behavior of molecular systems is normally
associated with some sort of chemical reactions. There are
still numerous examples of extremely rapid dynamics,
which can’t be described in terms of classical kinetic
parameters, such as reaction rates, activation parameters etc.
It even is better to consider them in terms of vibrations with
large amplitude. Accurate structure studies of saturated four-
and five-membered cycles imply solving specific problem of
quantitative description of dynamic processes with very low
barriers in them. Examples of accurate microwave studies
are known of only few simplest such systems in gaze phase.
2. Method We developed a practical method for evaluation of the
parameters of conformational dynamics in terms of
vibrations with large amplitude. The method based on: (i)
the results of complete analysis of high resolution NMR
spectra, (ii) ab’initio calculations of a reaction path and
surfaces of potential energy and spin-spin coupling
constants, (iii) a numerical solution of corresponding
vibration problem and (iv) refinement for the parameters of
the energy surface based on the best fit of experimental (see
e.g. [1-2]) and calculated spin-spin couplings.
As a starting point, the undistorted potential energy
surface (PES) of inner rotation for the compounds studied
was built by applying the scanning technique to skeletal
dihedral angles [3]. This allows us to get a trial “reaction
path” for the pseudorotation process. Conformational
dependencies for spin-spin coupling constants (SSCC) for
principal points on the reaction path were calculated using
FP DFT technique [4]. 1H NMR spectra were recorded for a
series of solvents and “Bruker AV-600” spectrometer at
room temperature, and were treated using total lineshape
analysis technique (program VALISA [1]) which allows to
get very accurate estimates of experimental SSCC values.
Finally, the reverse spectral problem was solved to adjust
experimental and calculated data and build up the “true”
potential of pseudorotation. We developed REVIBR
program [3], which solves numerically corresponding
vibration problem and models the dynamic averaging using
the technique of convolution of the spin-spin coupling
surfaces using the whole set of vibration energies and
eigenvectors (normally, 200 lowest ones). Convolution
criterion used in REVIBR program allows to get calculated
SSCC for given temperature. Nonlinear optimization
(Levenberg-Marquart techniques) of the estimated
parameters for the “true” pseudorotation PES (modeling
difference of ground states of main conformers ∆E and heights for the conformational barriers ∆E≠) used to get best fit of experimental and calculated SSCC values.
3. Results Advantages of the technique developed demonstrated on
a series of monosubstituted cyclobutanes, trans-1,2-
dihalocyclopentanes, tetrahydrofuran, tetrahydrothiophene,
tetrahydrothiophene-1-oxide, pyrrolidine, proline and
ribonucleosides. The data obtained shows, that the
pseudorotation process in every four- and five-membered
system under study is carrying out by the mechanism with
high amplitude of vibration. Major conformations of
tetrahydrofuran and terahydrothiophene are twists 4Т5 and
5Т4, for pyrrolidine – envelope Е1 with equatorial NH-
bond, for terahydrothiophene-1-oxyde – envelopes Е3 and
with axial oxygen and for proline – envelope Е5 with axial
СООН-group. Method used also for characterization of
internal rotation in acyclic systems – natural endogenic
hormone adrenaline and substituted azobenzenes.
Acknowledgement This work is supported by the RFBR (grant 09-03-
00779).
References [1] S.V. Zubkov, S.S. Golotvin, V.A. Chertkov. – Russ.
Chem. Bull., 51, 1222-1230 (2002). [2] S.V. Zubkov, V.A. Chertkov – IJMS, 4, 107-118
(2003). [3] A.V. Chertkov, O.I. Pokrovsky, A.K. Shestakova, V.А.
Chertkov – Chem. Heterocycl. Comp., 44, № 5, 782-784 (2008).
[4] T. Onak, J. Jaballas, M. Barfield, J. Am. Chem. Soc, 121, 2850 (1999).
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NMRCM 2011, Saint Petersburg, Russia, June 27 – July 1, 2011 – 12 –
On the problem of the theoretical description of relaxation
in a system of two identical spins
Vladimir I. Chizhik
Saint-Petersburg State University, Faculty of Physics
E-mail: [email protected]
1. Introduction One of the best works in the area of the theory of the
nuclear magnetic relaxation was published by I. Solomon in
1955 relaxation in a system of two interacting spins, in
particular, so-called "Solomon's equations" were derived
namely in it. Delivering lectures on NMR-relaxation in
Saint-Petersburg State University I have disclosed the
logical error in this excellent article and would like to turn
the attention of the NMR community to this fact because
that error is still rewritten in many articles, reviews and
books (see, for example, [2-6]). Moreover many Internet
materials (including "Encyclopedia of NMR") contain it.
2. Details First, I. Solomon wrote equations for the populations ni of
energy levels of two spins (I = S = 1/2) of different kinds
(γ1≠γ2) placed in a static magnetic field. In this case there
are four energy levels which correspond to the following
orientations of the spins ("+" along the magnetic field, "–" in
the opposite direction to the magnetic field): + + (n1), + –
(n2), – + (n3), – – (n4). Then I. Solomon introduced the
macroscopic magnetizations of the I and S spins along the
magnetic field (traditionally the magnetic field is directed
along the z-axis of the laboratory coordinate system):
Iz ~ [(n1 + n2) – (n3 + n4)]; Sz ~ [(n1 + n3) – (n2 + n4)]
Using such an approach I. Solomon received the
equations:
dIz/dt= – ρ(Iz – I0) – σ(Sz – S0),
dSz/dt= – ρ1 (Sz – S0) – σ(Iz – I0),
where ρ, ρ1 and σ depend on the probabilities of
relaxation transitions.
Just to that point the Solomon's approach is quite correct.
But then I. Solomon proceeded to the consideration of the
relaxation in a system of two interacting equivalent spins
and made an error. He supposed that in this case one could
put Iz = Sz and equations turned into
dIz/dt= – (ρ + σ)(Iz – I0),
i. e. the spin-lattice relaxation time (T1) would be given by
the expression:
T1 = 1/(2w1 + 2w2),
where w1, w2 are the probabilities of one- and two- quantum
relaxation transitions.
This approach is not correct because it does not take into
account the fact that, although the dipole-dipole interaction
eliminates the degeneration of the middle energy level, one
of the new states is forbidden for the transitions from upper
and lower energy levels. It was brightly shown in the
splendid works of M.Levitt [7-12].
As a result, in the case of two equivalent spins one deals
with the three-level system.
Following the same scheme one can receive the equation
for the magnetization Iz:
dIz/dt = – (w1* + 2w2)(Iz – I0),
i.e. the spin-lattice relaxation time is
T1 = 1/ (w1* + 2w2)
that differs from the expression above. It worth noting that
w1 and w1* are different because they should be calculated
on the basis of different wave functions (incorrect or proper
ones for the middle level) but w2 is the same in both
expressions.
References [1] I. Solomon, Phys. Rev. 99, 559 (1955). [2] J. Kowalewski,in Ann. Reports NMR Spectr. 22, 307
(1989). [3] V.I. Bakhmutov, Practical NMR Relaxation for
Chemists, John Wiley and Sons, Ltd, Chichester (2004).
[4] J. Keller, Understanding NMR Spectroscopy, Wiley and Sons, Ltd, Chichester (2005).
[5] G.S. Rule, T.K. Hitchens, Fundamentals of protein NMR spectroscopy, Springer, Dordrecht (2006).
[6] M. Levitt, Spin Dynamics, Wiley and Sons, Ltd, Chichester (2009).
[7] M. Carravetta, O.G. Johannessen, M.H. Levitt, Phys. Rev. Letters 92, 153003-1(2004).
[8] M. Carravetta, M.H. Levitt, J. Am. Chem. Soc. 126, 6228 (2004).
[9] M. Carravetta, M.H. Levitt, J. Chem. Phys. 122, 214505 (2005).
[10] G. Pileio, M. Carravetta, M.H. Levitt, J. Magn. Reson. 182, 353 (2006).
[11] G. Pileio, M. Carravetta, E. Hughes, M.H. Levitt, J. Am. Chem. Soc. 130, 12582(2008).
[12] G. Pileio, M.H. Levitt, J. Chem. Phys. 130, 214501 (2009).
-
– 13 – NMRCM 2011, Saint Petersburg, Russia, June 27 – July 1, 2011
NMR imaging studies of wood moisture interaction
Sergey V. Dvinskikh
Department of Chemistry and Industrial NMR Centre, Royal Institute of Technology,
SE-10044 Stockholm, Sweden
E-mail: [email protected]
1. Introduction Wood has potential as a renewable material for a large
variety of applications that often call for improved
properties such as dimensional stability, moisture
insensitivity, and durability. Moisture migration in wood is a
particularly important factor in determining the cost-
effective service life of wooden construction. The primary
processes for moisture migration in wood include water
diffusion in the cell wall, adsorption to and exchange with
hydroxyl groups, and vapor diffusion in the lumen [1].
Capillary flow plays a significant role in the uptake of liquid
water. Within the present research, high and low field NMR
spectroscopy and imaging was applied for studying the
moisture spatial distribution and migration in a number of
wood specimens and under varying environmental
conditions.
2. High field MRI in wood In contrast to green or water-soaked wood, processed
construction wood at ambient condition is much less
suitable for standard MRI because of the short relaxation
times of “bound” water. Hence, a solid state MRI method -
single point imaging (SPI) [2], was applied to assess the
spatial variation of the moisture content in wood.
Moisture kinetics in wood was studied upon controlled
changing the relative humidity of the surrounding air [3, 4].
By varying the wood sample orientation with respect to
magnetic field gradient the moisture movement along three
principal directions in wood was monitored by SPI MRI, as
exemplified in Fig 1. Data were compared to multi-Fickian
numerical simulation of transient moisture transport [3].
-2 0 2 4 6 8 10 12 14
0
10
20
30
40
50
distance, mm
0
4 days
3 months
MC
x (
ρ woo
d/ρ
av
wo
od)
Figure 1: Moisture content profiles along the radial
direction in wood, obtained after changing
the relative humidity from 95 to 35 %.
The effect of wood growth rings is observed
Wood contained adsorbed heavy water (D2O) can be
studied by MRI in order to separate images due to water
(2H MRI) and macromolecular wood tissue (1H MRI). By
comparing the proton and deuterium images a linear
correlation between water and macromolecular contents in
wood is clearly demonstrated [5].
3. Low field unilateral NMR in wood We have evaluated the potential of NMR technology
based on small portable magnets for in situ studies of the
local moisture content in wood. Low field and low
resolution 1H NMR with a unilateral permanent magnet was
used to monitor the spatially resolved moisture content of
wood cladding materials [6] and for assessment of moisture
protective properties of wood coatings [7]. The method is
quick, noninvasive, simple to perform, and does not require
removing wooden parts from the structure. We also
developed an NMR sensor based on small low cost
permanent magnets for disposable multiple-sensor remote
NMR.
Acknowledgements This work was supported by Swedish Research Council
VR, Knut and Alice Wallenberg Foundation, and the
European WoodWisdom–Net project “Improved Moisture.
References [1] Skaar, C. Wood-Water Relations. Springer, Berlin,
1988.
[2] S. Emid, J. H. N. Creyghton. Physica B 128 (1) (1985)
81–83
[3] S. V. Dvinskikh, M. Henriksson, A. L. Mendicino, S.
Fortino, T. Toratti. Eng. Struct. (2011). Accepted.
[4] J. Eitelberger, K. Hofstetter, S. V. Dvinskikh.
Composites Sci. Technol. Submitted.
[5] S. V. Dvinskikh, M. Henriksson, L. A. Berglund, I.
Furó. Holzforschung 65, 103 (2011).
[6] S. V. Dvinskikh, I. Furó, D. Sandberg, O. Söderström.
Wood Mat. Sci. Eng. (2011). In press.
[7] P. Pourmand, L. Wang, S. V. Dvinskikh. J. Coat.
Technol. Res. Submitted.
-
NMRCM 2011, Saint Petersburg, Russia, June 27 – July 1, 2011 – 14 –
Optically detected NMR under resonant pumping of nuclear
spins in self-assembled InGaAs quantum dots
Karl Flisinski1, R. V. Cherbunin2, M. Yu. Petrov2, M. S. Kuznetsova2, I. V. Ignatiev2, D. R. Yakovlev1,3, M. Bayer1
1Experimentelle Physik 2, Technische Universität Dortmund, 44221 Dortmund, Germany
E-mail: [email protected] 2Physics Departament, St. Petersburg State University, 198504 St. Petersburg, Russia 3Ioffe Physico-Technical Institute, Russian Academy of Sciences, 194021 St. Petersburg, Russia
1. Introduction The two main advantages of optically detected and
optically pumped NMR over common NMR measurements are (i) selective observation of nuclei in the region of electron localization e.g. in quantum dots (QD) and (ii) orders of magnitude higher sensitivity [1]. Applying optical excitation with circular polarisation modulated (PM) from right- to left-hand helicity makes it possible to pump only one isotope of nuclear spins whose frequency of Larmor precession equals to the polarisation modulation frequency. This allows one the identification of all nuclei in a QD within a quantum dot ensemble (~1013 nuclei). Present work shows how the nuclear Zeeman splitting and nuclear quadrupole splitting can be measured for InGaAs QDs using this method.
2. Theoretical overview Optical excitation with circularly polarized light transfers
an angular momentum to the resident electron of a QD. Passing on the momentum via a spin-flip to the nuclear-spin-system creates a dynamic nuclear polarisation (DNP). The DNP changes the electron spin polarisation, which can be detected by the polarisation degree of photoluminescence (PL) [2]. In the magnetic field transverse to optical pumping direction, nuclear spins can be polarized both along the magnetic field and the optical excitation [3]. The polarisation is due to the Knight field (the effective magnetic field created by polarized electrons on the nuclei), which deviates the total field affecting the nuclei from orthogonal geometry. The orientation of the Knight-field depends on helicity of excitation. Similar effect appears when additional longitudinal external magnetic field is applied to the system.
3. Experimental data Studied sample contains 20 layers of self-assembled
InGaAs QDs separated by 60 nm GaAs barriers, annealed at 980 °C. Due to n-doping each QD in average is occupied by one resident electron. A continuous RF field of about 1 mT was applied parallel to light k-vector (z-axis). Perpendicular to the z-axis an external magnetic field was swept (Voigt geometry) and the change of polarisation of QD PL was measured (Hanle effect). Figure 1 shows Hanle curves for different experimental conditions. The grey curve shows electron polarisation under influence of DNP created via continuous excitation with one helicity (CW-condition). The red curve shows electron polarisation under influence of polarisation-modulated excitation with additional in-phase RF-field (0° phase shift). The blue curve was measured with phase difference of 180°. The green curve (e-peak) was measured with additional amplitude modulation of
excitation light to suppress nuclear polarization. Its width is controlled only by the electron depolarisation in external field.
4. Discussion Signals detected outside of e-peak are due to nuclear
polarisation. Under PM conditions only nuclear isotopes can be pumped whose Larmor frequency is equal to the modulation frequency (66.7 kHz for red curve). We believe that transverse component of DNP, which precesses about the total magnetic field is pumped. Each resonant condition is marked on the red curve and fitting by the sum of Gaussians enables identification of isotopes. By measuring the Hanle curves for different PM frequencies, the dependences of the Larmor frequency for different isotopes on the magnetic field strength were measured. It was found, that their dependence is not linear. Their behaviour will be discussed.
Acknowledgements This work is supported by the Deutsche Forschungs-
gemeinschaft, the Russian Ministry of Science and Education, and the Russian Foundation for Basic Research. MYP thanks the “Dynasty” foundation.
References [1] D. Paget et al. Phys. Rev. B 25, 4444 (1982) [2] R. V. Cherbunin et al. Phys. Rev. B 80, 035326 (2009) [3] Optical Orientation, eds B. P. Zakharchenia, F. Meier
(North-Holland, Amsterdam, 1984)
0
168151.3 mW 10-08-2009F10 RFz off
0
0.04
0.08
0.12
-20 -10 0 10 20 30
113In
±5/2
113In
±3/2
71Ga
±3/2
69Ga
±3/2
113In
±5/2
71Ga
±3/2
113In
±3/2
Magnetic field, BX (mT)
Pola
risation d
eg
ree
-
– 15 – NMRCM 2011, Saint Petersburg, Russia, June 27 – July 1, 2011
Tricks and traps of the NMR relaxometry of ultra dry biological
systems and extremophilic organisms
H. Harańczyk
Institute of Physics, Jagiellonian University, Cracow,
ul. Reymonta 4, 30-059 Cracow
E-mail: [email protected]
Some extremophilic organisms, as lichenized fungi
[1 and references therein] and insects [2, 3], can survive the
acute water stress and extremely low temperature. In
cryptobiosis the extremophile may be treated as an
amorphous system with a high porosity [4], the effect of
carbohydrates is suggested [5]. Bound water behavior is one
of crucial molecular mechanisms deciding on the ability of
living organism to survive the extreme dehydration of ice
nucleation.
Even at very low overall hydration level in extremophilc
organism a small reservoirs of loosely bound water may
remain, which is not detected either by hydration kinetics or
by gravimetric sorption isotherm experiment. Only the use
of NMR sorption isotherm may reveal the presence of
additional bound water fraction which is trapped in the pores
of the dry tissue [6, 7, 8].
The initial steps of rehydration conducted from the
gaseous phase for biological macromolecules (native DNA
[9] or DNA modified by use of various surfactants) show
the swelling process (with the different values of the
swelling time).
The liquid NMR signal component hydration dependence
as detected either in time domain or in frequency domain
reveals very often a non-linear form which is well fitted by
the rational function [10-12], which is the effect of the
presence of water soluble solid fraction. For horse chestnut
bast the threshold hydration value is observed for which the
whole portion of water soluble solid fraction is dissolved
[13]. This approach enables one to calculate the saturation
hydration level and, thus, the identification of water soluble
solid fraction [13]. The solid water soluble fraction mostly
consists of sugars and/or of polyols.
Unfortunately, for majority of extremophilic organism,
the contribution of water soluble solid fraction is so
significant that the threshold hydration level is not observed
[10-12]. In such a case the detailed analysis of FID signal or
proton spectra may be helpful. If tightly bound water
component may be distinguished, it helps to identify the
water soluble solid fraction.
For Antarctic lichenized fungi (Umbilicaria aprina) the
NMR relaxometry, and the NMR spectroscopy, together
with DSC, show that for decreased temperatures the water
soluble solid fraction influences the ice nucleation process,
changing the contribution of non-cooperative bound water
immobilization compared to ice freezing [14].
References [1] H. Harańczyk „On water in etremely dry biological
systems”. Wyd. UJ 2003 pp. 276. [2] M. Watanabe, T. Kikawada, N. Minagawa, F.
Yukuhiro, T. Okuda. J. Exp. Biol., 205, 2799-2802 (2002).
[3] M. Watanabe, T. Sakashita, A. Fujita, T. Kikawada, D. D. Horikawa, Y. Nakahara, S. Wada, T. Funayama, N. Hamada, Y. Kobayashi, T. Okuda. Int. J. Radiat. Biol. 82, 587-592 (2006).
[4] F. Valladares, L.G. Sancho, C. Ascaso, Bot. Acta, 111, 99 (1997).
[5] W.Q. Sun, A.C. Leopold, Comp. Biochem. Physiol., 117A, 327 (1997).
[6] H. Harańczyk, A. Leja, K. Strzałka. Acta Physica Polonica, A109, 389-398 (2006).
[7] H. Harańczyk, M. Bacior, J. Jamróz, M. Jemioła-Rzemińska, K. Strzałka. Acta Phys. Polon. A115, 521-525 (2009).
[8] H. Harańczyk, A. Leja, M. Jemioła-Rzemińska, K. Strzałka. Acta Phys. Polon. A115, 526-532 (2009).
[9] H. Harańczyk, J. Czak, P. Nowak, J. Nizioł, Acta Phys. Polon. A117, 257 (2010)
[10] H. Harańczyk, A. Pietrzyk, A. Leja, M. A. Olech, Acta Phys. Polon. 109, 411 (2006).
[11] H. Harańczyk, M. Bacior, M.A. Olech Antarctic Science 20, 527 (2008).
[12] H. Harańczyk, M. Bacior, P. Jastrzębska, M.A. Olech Acta Phys. Polon. A115, 516 (2009).
[13] H. Harańczyk, W.P. Węglarz, S. Sojka. Holzforschung 53, 299-310 (1999).
[14] H. Harańczyk, P. Nowak, M. Bacior, M. Lisowska, M. Marzec, M. Florek, M.A. Olech, submitted to Antarctic Science (2011).
-
NMRCM 2011, Saint Petersburg, Russia, June 27 – July 1, 2011 – 16 –
Multinuclear solid state NMR Study of Silica Fiberglass Modified
with Zirconia
O. B. Lapina1, D. F. Khabibulin1, V. V. Terskikh2
1Boreskov Institute of Catalysys, prospect .Lavrentieva 5, Novosibirsk, 630090, Russia 2Steacie Institute for Molecular Sciences, National Research Council Canada, Ottawa, Ontario,
Canada K1A 0R6
E-mail: [email protected]
1. Introduction Silica fiberglass textiles are emerging as uniquely suited
supports in catalysis which offer unprecedented flexibility in designing advanced catalytic systems for chemical and auto industries. During manufacturing fiberglass materials are often modified with additives of various nature to improve glass properties. Glass network formers, such as zirconia and alumina, are known to provide the glass fibers with higher strength and to slow down undesirable devitrification processes. In this work multinuclear 1H, 23Na, 29Si, and 91Zr NMR spectroscopy was used to characterize the effect of zirconia on the molecular-level fiberglass structure. 29Si NMR results help to understand why zirconia-modified fiberglass is more stable towards devitrification comparing with pure silica glass. Internal void spaces formed in zirconia-silica glass fibers after acidic leaching correlate with sodium and water distributions in the starting bulk glass as probed by 23Na and 1H NMR. These voids spaces are important for stabilization of catalytically active species in the supported catalysts. Potentials of high-field 91Zr NMR spectroscopy to study zirconia-containing glasses and similarly disordered systems are illustrated.
2.1. Bulk Na2O-ZrO2-SiO2 glass Incorporation of zirconia into the silicon-oxygen lattice
can be considered in terms of different Sinm(Zr) (i.e. Si(OZr)m(OSi)n-m) molecular motifs, where m is the number of zirconium atoms bound to the central silicon atom via the oxygen “bridge”, n is the number of silicon atoms in the second coordination sphere, with n = 0 – 4, m ≤ n. Zirconium in zirconium-silicates is six-coordinated, with each zirconium atom linked with six silicon-oxygen tetrahedra, at the same time Zr-O-Zr linkages are never or rarely formed. The coordination number of zirconium in silicate glasses is of importance, since only octahedral Zr provides a stable glass environment; and subsequently in most true glasses Zr is not a nucleating element. From 29Si and 23Na NMR data we can conclude that sodium in zirconia-modified glass is distributed more evenly throughout the bulk, however the local sodium coordination environment appears to be more disordered than in pure silicate glass.
2.2. Na2O-ZrO2-SiO2 fiberglass 29Si, 23Na, and 1H NMR data show that the manufacturing
of glass fibers is accompanied by substantial changes in the
glass structure. In the process of spinning fiber strands from
molten glass the silicon-oxygen polyhedra are getting
slightly stretched and most likely become more aligned,
with the Si-O-Si angle increasing by about two degrees in
the zirconia-modified fibers. At the same time the extent of
silicon-oxygen tetrahedra association increases more
probable due to separation on silica enriched region and on
sodium enriched region in subsurface region. In the
zirconia-modified fibers this effect is in somewhat lesser
degree than in pure silicate glass, which may indicate better
stability of the zirconia-modified fibers towards
devitrification. In zirconia-containing fibers sodium cations
are more evenly distributed through the glass network,
which will be important during the subsequent
manufacturing step of leaching of fiberglass with acid.
Significant amounts of water are present in fiberglass.
2.3. Leached ZrO2-SiO2 fiberglass After the fiberglass threads are spun and weaved into
textiles of desired density and shapes, they then undergo a
leaching treatment in strong inorganic acids to remove
sodium and other soluble components. This leached fiber
after washing and drying, can directly be used as a support
for variety of catalysts. 29Si, 91Zr and 1H NMR data
unequivocally show that zirconium atoms are indeed being
incorporated in the silica glass lattice and, by modifying the
glass properties, zirconium is making fiberglass more robust
for practical applications. After the acid leaching treatment
the water content in fibers increases significantly, the nature
of incorporated water in leached fibers is different from
unleached fibers, According to 1H MAS NMR spectra
recorded for leached fibers, most of this water is zeolitic-like
in its character and can be easily removed at elevated
temperature. Presence of zeolitic water in fiberglass
indicates an extended network of internal microporous
voids. This microporosity becomes important when fibers
are used as catalyst supports, it also contributes to the ability
of fibers to stabilize the highly-dispersed nanoclusters of
transition-group metals in the glass bulk.
Acknowledgements This work is partly supported by the Russian Foundation
of Basic Research (grant № 10-03-00667-а).
-
Competitive Diffusion of Gas
Selection Procedure
S. Leclerc1, M.
1Méthodologie RMN, Univ. H2Modélisation du Transfert de Masse, University Ivan Pul’uy, Ternopil, 46001 Ukraine3LPEM - ESPCI and UPMC, 10 Rue Vauquelin, 75005 Paris cedex, France
E-mail: [email protected]
1. Introduction We presented in a previous paper [1] a new NMR
imaging technique which can be used
diffusion and adsorption of a gas in a microporous bed [2].
The sample is displaced vertically, step by step, relative to
the detector during the adsorption of the gas; the detector is
a very thin coil. The bed is assumed to consist of
layers of solid, and the region probed is limited to each
layer; so the variation of the concentration of gas absorbed
at the level of each layer is obtained as
This technique allows the calculation of all the parameters
of the system at every moment, at every position in the solid
and in each crystallite. But the most interesting thing is that
this technique is now able to visualize directly
diffusion of several gases [2].
The study of the co-diffusion of gases through a
microporous solid and the resulting instantaneous
distribution (out of equilibrium) of the adsorbed phases is
particularly important in many fields, such as gas separa
heterogeneous catalysis, etc. Classical 1H NMR imaging is a
good technique for the visualisation of these processes
since the signal obtained is not specific
requires that each experiment be performed several times
under identical conditions, and each time with only one
incompletely deuteriated gas. In contrast, our new technique
gives a signal characteristic of the adsorbed gas.
therefore provide directly, at every moment and at every
level of the crystallite bed, the distribution of several gases
competing in diffusion and adsorption.
2. Experimental results
Figure 1: left: Sample-holder bulb containing the liquid
phase in equilibrium with the gas phase;
the narrow zone monitored
– 17 – NMRCM 2011, Saint Petersburg, Russia
Competitive Diffusion of Gases in a Zeolite Using
Selection Procedure
, M. Petryk2, D. Canet1, J. Fraissard3
Méthodologie RMN, Univ. H. Poincaré, 54506 Vandoeuvre-les-Nancy cedex, France
Modélisation du Transfert de Masse, University Ivan Pul’uy, Ternopil, 46001 Ukraine
ESPCI and UPMC, 10 Rue Vauquelin, 75005 Paris cedex, France
mail: [email protected]
We presented in a previous paper [1] a new NMR
for following the
diffusion and adsorption of a gas in a microporous bed [2].
The sample is displaced vertically, step by step, relative to
tion of the gas; the detector is
a very thin coil. The bed is assumed to consist of n very thin
layers of solid, and the region probed is limited to each
layer; so the variation of the concentration of gas absorbed
a function of time.
the calculation of all the parameters
of the system at every moment, at every position in the solid
But the most interesting thing is that
this technique is now able to visualize directly the co-
diffusion of gases through a
microporous solid and the resulting instantaneous
distribution (out of equilibrium) of the adsorbed phases is
particularly important in many fields, such as gas separation,
H NMR imaging is a
good technique for the visualisation of these processes but,
since the signal obtained is not specific for each gas, this
requires that each experiment be performed several times
ical conditions, and each time with only one
completely deuteriated gas. In contrast, our new technique
gives a signal characteristic of the adsorbed gas. It can
at every moment and at every
istribution of several gases
containing the liquid
equilibrium with the gas phase; right: Schema of
the narrow zone monitored
As a first example we have studied the co
benzene and hexane through
15 mm).
Figure 1 shows the sample-holder tube
vertically, up or down, opposite the very thin detector. The
homogeneous liquid phase consists of two equal volu
benzene and hexane. It is in equilibrium with its gas phase at
25°C. The two gases begin to diffuse in the zeolite when the
glass partition is broken.
Figure 2 compares the evolution, as a function of time, of
the benzene and hexane concentrations,
the sample. It reveals particularly well, under the chosen
experimental conditions, the negative effect of benzene on
the diffusion of hexane, and this at every moment.
Figure 2: Time variation of the benzene and hexane
concentrations at different levels of the sample
More precise results will be presented at the meeting.
3. Conclusion The choice of the two diffusing ga
hexane, and of the ZSM5 zeolite
important. The main result is the possibilit
time, of following at every moment the concomitant
distribution of several gases co
environment.
References [1] S. Leclerc, G. Trausch, B.
Retournard , J. Fraissard and D.Chem., 44, 311-317 (2006)
[2] Michel Petryk, Sebastien Leclerc, Daniel Canet, Jacques Fraissard, Catalysis Today(2008)
, Saint Petersburg, Russia, June 27 – July 1, 2011
in a Zeolite Using A Slice
Nancy cedex, France
Modélisation du Transfert de Masse, University Ivan Pul’uy, Ternopil, 46001 Ukraine
ESPCI and UPMC, 10 Rue Vauquelin, 75005 Paris cedex, France
have studied the co-diffusion of
through a bed of ZSM5 (length
holder tube which is moved
vertically, up or down, opposite the very thin detector. The
homogeneous liquid phase consists of two equal volumes of
benzene and hexane. It is in equilibrium with its gas phase at
25°C. The two gases begin to diffuse in the zeolite when the
compares the evolution, as a function of time, of
the benzene and hexane concentrations, at different levels of
the sample. It reveals particularly well, under the chosen
experimental conditions, the negative effect of benzene on
the diffusion of hexane, and this at every moment.
Figure 2: Time variation of the benzene and hexane
ions at different levels of the sample
More precise results will be presented at the meeting.
two diffusing gases, benzene and
and of the ZSM5 zeolite is not what is most
important. The main result is the possibility, for the first
time, of following at every moment the concomitant
distribution of several gases co-diffusing in a physical
Cordier, D. Grandclaude, A. , J. Fraissard and D. Canet, Magn. Reson.
Michel Petryk, Sebastien Leclerc, Daniel Canet,
Catalysis Today, 139, 234 – 240
-
NMRCM 2011, Saint Petersburg, Russia, June 27 – July 1, 2011 – 18 –
Cross-Polarization and Variable Angle Spinning Applied to
Oriented Systems
K. V. Ramanathan
NMR Research Centre, Indian Institute of Science, Bangalore 560012, India
E-mail: [email protected]
1. Introduction Cross-Polarisation (CP) and Magic Angle /Variable
Angle Spinning (MAS/VAS) are techniques well-known in
NMR and are being used extensively to study a variety of
organic, inorganic, polymeric and biological systems in the
solid state. When applied to partially ordered systems that
orient in a magnetic field, these techniques yield results that
have features which are different from the ones obtained
from rigid solid powder samples. The properties of the
systems lend themselves to be exploited with these
techniques and yield parameters that are useful for structure
and dynamics studies. We will elaborate here on the above
methodologies applied to nematic liquid crystals and cover
particularly topics such as development of new pulse
schemes for polarization transfer, improved SLF pulse
sequences and variable angle spinning studies. Such studies
provide an ideal test-bed for developing methodologies
which have applications to other similar systems such as
biological membranes.
2. Separated Local Field Spectroscopy NMR provides several parameters that can be used to
obtain information about the liquid crystalline phase. Of
these, the measurement of dipolar couplings between nuclei
has proved to be a convenient way of obtaining the ordering
of the dipolar vector in the magnetic field. The measurement
of the dipolar coupling between a pair of nuclei is
conveniently carried out by the use of the separated local
field (SLF) 2D NMR technique, which can be used for
extracting dipolar couplings for several sites simultaneously.
There are many SLF-2D techniques that are available for
this purpose. We have employed SLF techniques based on
Hartmann-Hahn cross-polarization (HHCP) extensively for
measuring the dipolar couplings of many novel liquid
crystal systems. The liquid crystalline phase represents a
unique state of matter where partial order exists on
molecular and supramolecular levels and is responsible for
several interesting properties observed in this phase. Hence
a detailed study of ordering and topology in liquid crystals is
of significant scientific and technological interest. The SLF
techniques, however, have a few limitations such as
sensitivity to r.f. inhomogeniety and carrier frequency off-
set and the presence of undesirable zero-frequency peaks.
We have proposed a number of modifications to address
these problems and have devised techniques that provide
accurate dipolar couplings in a sensitive fashion and free of
dependence on experimental conditions [1,2].
We have also explored an approach different from HHCP
for polarization transfer [3]. This approach is similar to the
INEPT technique used in solution NMR. Magnetization
evolution of the I spin in a tilted rotating frame under
heteronuclear I-S dipolar Hamiltonian gives rise to anti-
phase two spin order terms. This can be converted into a
single spin order term of S spin by a 900 pulse on the S spin
followed by subsequent magnetization evolution under bi-
linear operator terms. We have shown that this approach can
be used not only for polarization transfer from I to S spin,
but also for measuring I-S dipolar couplings. The technique
can be used for polarization transfer between spin 1/2 nuclei
and also between a spin 1 and a spin 1/2 nucleus [4]. It has
also been demonstrated that the technique can be used for
polarization transfer from protons to the overtone transition
of 14N nucleus, thus reducing the spectral window for 14N
studies from MHz to kHz [5]. These experiments provide
correlation as well coupling information.
3. Variable Angle Spinning The experiments are based on the orientation of the
nematic directors in a spinning liquid crystal in a magnetic
field. Due to the interplay of the interactions between the
magnetic and the viscous forces in a spinning sample,
different orientational behavious are observed. Depending
on the magnetic susceptibility anisotropy of the sample, it is
observed that spinning the sample about an axis making an
angle less than or greater than the magic angle results in the
alignment of the major or the minor directors along the
spinning axis. This gives rise to characteristic NMR line
splittings, that depend on factors such as the symmetry of
the phase and the sign of the diamagnetic susceptibility
anisotropy of the system. This orientational behaviour can
be used for a number of applications and a few examples
will be illustrated [6].
References [1] Nitin P. Lobo and K.V. Ramanathan, J. Phys. Chem.
Lett., (In Press). [2] S. Jayanthi and K.V. Ramanathan, J. Chem. Phys., 132,
134501 (2010). [3] S.Jayanthi, P K Madhu, N.D Kurur; and K V
Ramanathan, Chem. Phys. Lett., 439, 407 (2007). [4] S.Jayanthi and K.V. Ramanathan, Chem. Phys. Lett.
487, 122, (2010). [5] S. Jayanthi and K.V. Ramanathan, Chem. Phys. Lett.
502, 121 (2011). [6] H.S.Vinay Deepak, Anu Joy, N. Suryaprakash and
K.V.Ramanathan, Magn. Reson. Chem. 42, 409, (2004).
-
– 19 – NMRCM 2011, Saint Petersburg, Russia, June 27 – July 1, 2011
New discoveries of archaeological sites in western Crimea with
help of magnetometry
Tatiana N. Smekalova, Andrey V. Chudin, Aleksey E. Pasumansky
Saint-Petersburg State University, Faculty of Physics
E-mail: [email protected]
This report presents the results of recent investigations of ancient Greek and late Scythian sites in north-western Crimea. This region played an important role in the history of the northern Black Sea littoral in antiquity.
In terms of its landscape, economy, and cultural history, this region was unusual; it was the main agricultural base for both ancient Greek Chersonesos and the Late Scythian kingdom. The north-western Crimea was a focus of the interests of the Chersonesean state in the second half and the end of the 4th century BC. The whole maritime zone of north-western Crimea and the inland areas of the Tarkhankut Peninsula was controlled by Chersonesos, which founded a net of settlements here.
In contrast to Late-Scythian townsites of the Crimean foothills, the Late-Scythian settlements in western Crimea are a special phenomenon; this is because they were established at fortified and unfortified settlements in the Chersonesean rural hinterland. These settlements were founded between the beginning and the second half of the 2nd century BC. Therefore, the defensive system of these settlements was based on the fortifications of the Chersonesean period.
Until recently, a generally accepted axiom was that, during the Greek period, only the maritime zone was occupied in north-western Crimea. This supposition must now be revised because of recent discoveries in the inner part of the Tarkhankut Peninsula. The investigation of the ancient settlement-sites on the Tarkhankut Peninsula was carried out by means of the interdisciplinary method including remote techniques (analysis of space photographs and aerial shots), examination of detailed maps, viewshed analysis, magnetic surveys and visual explorations.
Remote sensing methods, such as electric resistivity surveys and magnetic surveys, have proved to be effective non-destructive techniques for exploration of Greek and “aboriginal” sites in the north-western Crimea. Magnetic surveys have been used over many seasons in the region under consideration, and have proved an indispensable tool in investigations of settlement structures. Indeed, it is this technique that allows the identification of household pits or pit houses, not normally visible on photographs. In addition, the magnetic maps show very clearly the rectangular layout of the antique farmhouses, which makes it easy to identify this class of archaeological site and so distinguish the Greek settlements from the “aboriginal” villages.
Magnetic surveying involves the measurement of the Earth’s magnetic field over small intervals close to the surface of the site under investigation. Variations in the magnetic field of an identified area may be due to the contrasts in the magnetic properties of the archaeological objects and their environment. For instance, the ashy and ceramic-rich fills of household pits are, as a rule, more strongly magnetic compared with the loam in which they are often found. Therefore, pits and dugout dwellings create
weak positive magnetic anomalies with magnitudes from a few nT (nT or nanotesla is a unit for measuring the intensity of the magnetic field) to 20 nT. Stone walls, by contrast, produce weak (several nT) negative anomalies because they are constructed of nonmagnetic limestone within the weak-magnetic environment of the cultural deposits. The strongest positive anomalies (hundreds or even thousands of nT) are produced by manufacturing items associated with fire, such as hearths and ovens, particularly potters’ or iron-making kilns. A more detailed description of the physical principles of magnetic surveying with examples of its application in investigations of various archaeological sites is presented in the book “Magnitorazvedka v arkheologii” (Magnetic surveys in archaeology), 2010.
At the sites under investigation, a grid of rectangular plots that covered the entire area of the site and some of the surrounding space was made for the purposes of the survey. Magnetic surveys were then conducted with a step of 0.5 m, and the sensor positioned so it was never higher than 0.3 m above the surface. The data were stored in the computer memory of the magnetometer. Every 15 s, control measurements were carried out with a second magnetometer located in a zone of normal field. The latter measurements were later used in data analysis to determine and then subtract the temporary variations in the Earth’s magnetic field. Using the Surfer software, the magnetic maps were drawn in the form of shadowgraphs or colour contour maps. In these images, positive anomalies were represented in dark and blue colours, while the lighter and red colours marked the negative anomalies.
Among the important results of the studies in 2009-2011 was the discovery of previously unknown Greek-period settlement-sites (Kunan, Southern Ocheretay, Kipchak 1, Kipchak 2, and Dzhangul?-Mysovoe) in the inland and maritime zone of northwestern Tarkhankut. The surface finds of the Hellenistic period and the rectangular architectural plan, revealed by means of magnetic surveys, allow us to identify these sites as ancient Greek rural estates typical of northwestern Crimea.
These studies resulted in the compilation of a catalogue of twenty four Greek and Late-Scythian settlement-sites, some known before and some discovered recently. This catalogue shows their exact positions in detailed maps, topographic plans, and excavation drawings. The catalogue also includes descriptions of previous studies, high resolution space photos, plans of unexcavated building remains (based on the interpretation of magnetic maps) and photographs of the sites.
The emphasis of this lecture is on the results of remote sensing and archaeological and geophysical surveys which were conducted during the field campaign of 2009-2011 as part of the Aarhus University project and with the financial support from Russian Humanitarian Foundation (grant # 11-01-00546а).
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NMRCM 2011, Saint Petersburg, Russia, June 27 – July 1, 2011 – 20 –
Pulsed Field Gradient NMR for biological membranes and model
systems investigations
Vitaly I. Volkov
Institute of Problems of Chemical Physics RAS, Chernogolovka, Moscow Region, 142432, Russia
E-mail: [email protected]
1. Introduction The self-diffusion measurements especially the
techniques using the pulsed field gradient NMR following by Fourier transforms are the he unique methods for direct structural and dynamic studies in systems with the fast ionic and molecular transport. Water transport in biological systems is important for cellular physiological reactions, osmotic pressure of tissue and drying process of biological materials. For diffusional water permeability in biological systems, pulsed field gradient NMR (PFG-NMR) spectroscopy has become the method of choice due to its remarkable sensitivity to molecular displacements in the range of 10nm–100 mm and to its non-invasive character.
In order to interpret the experimental data correctly, the model investigations are necessary.
The results were obtained at the Laboratory of Membrane Processes, Karpov Institute of Physical Chemistry, Moscow, Russia; Laboratory of NMR, Institute of Problems of Chemical Physics, Russian Academy of Sciences, Chernogolovka, Moscow Region Russia and at Laboratory of Food and Biomaterial Science and Engineering, Graduated School of Life Science and Biotechnology, Korea University, Seoul, Korea.
This presentation devotes to investigations of ionic and water transport in biological cells (chlorella, yeast and erythrocytes) and in cation-exchange and pore membranes as model systems. Well known perfluorinated cation-exchange memdranes, sulfocation-exchange styrene bivinyl benzene resin CU-2 with different amount of crosslinked agent and aromatic bi sulfocontaining polyamides were stidied. The sulfocontaining polyamides allows varying chemical structure widely. Two isomer compositions iso (µPA) and tere (πPA) were investigated.
2. Synthetic membranes as model
systems Sulfo-, carboxyl-, aminogroups containing ion exchange
membranes and pore track etched membranes were investigated as model systems. The structure of ionic channels was observed by porometry, small-angle X-ray scattering, ESR, ENDOR and electrochemistry methods. The hydration of fixed groups and alkaline and alkaline – earth ions were studied in details in perfluorinated Nafion membranes. The mechanism of charge group – counter ion or water molecule interactions were understood from high resolution hetero nuclear NMR data. Microscopic ionic and water molecule mobilities were determined by NMR relaxations. Self-diffusion coefficients of protonic molecules and lithium and fluorine counter ions in different spatial scales were measured directly by PFG NMR. It was
concluded that the macroscopic electro – mass transfer is controlled by local ion and molecule jumps between adjacent charge groups. The interconnection between ionogenic channel structure, mobile ion or molecule-charge groups binding and translational ionic and molecular mobility was determined [1]. The quantitative relations of structural and motion parameters were derived from the percolation theory. On the basic of this knowledge, the main particularities of water behaviour in proteins and gels have been understood. It was shown that hydrogen bond is very important for proton and water molecules motions in biological ionic channels.
3. Biological cell membranes. Emulsions Water self-diffusion in cells of chlorella, yeast and red
blood cell was investigated. These cells were selected as model systems with different cell membrane permeabilities. The apparent self-diffusion coefficients of intracellular and extracellular water were measured dependent on diffusion time. The regions of restricted diffusion and hindered diffusion were observed. Scaling approach and two compartment exchange model were applied to calculate cell sizes and permeabilities [2, 3]. The values of permeability calculated by these two ways are very close to each other. The correctness of these theoretical interpretations was also demonstrated by good agreement of cell sizes obtained from PFG NMR and electron microscopic data. The permeabilities are 3.10-6, 6.10-6 and about 10-4 m/s for chlorella, yeast and red blood cells, respectively, depending on cell growing conditions and physical chemistry treating. The average cell sizes are varied from 2 to 4 microns. The water exchange mechanism in biological cells is discussed.
Surfactant emulsions in water were studied by PFG NMR. The phenomenon of restriction diffusion was observed. The protonic exchange rate between water molecules and micelle surface as well as micelle size and water layer thickness were determined [4].
Acknowledgements The investigation was supported by Russian Basic
Research Foundation, grant № 10-03-00862-a.
References [1] V.I. Volkov, A.A. Pavlov, E.A. Sanginov
Solid State Ionics 188 (2011) 124–128 [2] Suh K.J., Hong Y.S., Volkov V.I., Skirda V.D. et.al
Biophys. Chem. 104, 121-130, (2003). [3] Cho J.H., Hong Y.S., Volkov V.I., Skirda V.D. et. al. -
Magnetic Resonance Imaging 21,1009-1017 (2003). [4] Y.S. Hong, K.C. Kim, V.I. Volkov, V.D. Skirda, et.al. -
Appl. Magn. Reson. (2005) 105-112
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Part II
Oral Reports
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– 23 – NMRCM 2011, Saint Petersburg, Russia, June 27 – July 1, 2011
Strong NMR signal enhancement by Parahydrogen Induced
Polarization (PHIP) for study mechanism of heterogeneous
hydrogenation
Danila A. Barskiy1,2, Kirill V. Kovtunov1, Igor V. Koptyug1
1International Tomography Center, SB RAS, Institutskaya St. 3A, 630090 2Novosibirsk State University, Novosibirsk, Pirogova St. 2, 630090
E-mail: [email protected]
PHIP is a powerful tool for investigation of catalytic
reactions involving molecular hydrogen. By virtue of its
signal enhancing capabilities, PHIP has been used in
homogeneous hydrogenation catalysis to observe and
identify catalytic intermediates, determine hydrogen
position in product molecules and, hence, establish reaction
mechanism. Heterogeneous catalysts were not expected to
produce PHIP since the reaction mechanism involved should
destroy the original correlation of the two nuclear spins of
parahydrogen. However, it was recently demonstrated [1],
contrary to these expectations, that supported metal catalysts
do exhibit PHIP effect. This fact can be used for the
production of spin-polarized fluids for MRI applications [2]
and for developing new research tools for mechanistic and
kinetic studies on heterogeneous hydrogenation processes
by NMR.
In the present work we focus our attention on the study of
1,3-butadiene and 1-butyne hydrogenation reactions over Pt
supported catalysts with the use of parahydrogen. It was
noted that in case of heterogeneous catalysis the main route
of reaction pass through the dissociation of molecular
hydrogen to the atoms on the catalyst’s surface. At the same
time one of the most important features of PHIP is that it
can be observed just in the case of pairwise addition of two
H atoms to the same product molecule. It means that, first,
conventional mechanism including dissociative way of H
addition for heterogeneous hydrogenation is not completely
understood and, second, information extracted from the
PHIP NMR spectrum may be successfully utilized for
establishing of reaction mechanism.
Reaction of 1,3-butadiene and 1-butine were studied over
Pt supported catalysts. Polarization is observed for all
reaction products. It proves the presence of pairwise
addition route in the reaction mechanism. For the purpose to
examine the effect of particle size to the enhancement of
polarized NMR signal, platinum catalysts with different
particle sizes were used. Also, it was shown that intensity of
polarized peaks and, hence, percentage of pairwise addition
is in the strong dependence of support nature (Figure 1). We
have also analyzed the position of parahydrogen atoms in
the reaction products (such as 1-, 2-butenes and butane) and
reaction mechanisms including the stage of pairwise
addition of molecular hydrogen were suggested.
It should be remarked, that by reason of rapid gas flow
rate from Earth magnetic field to the strong field of NMR
magnet (flow rate is approximately 7 ml/s), there is not
enough time for the full spin relaxation of gas molecules.
Thus, the NMR signal is very low when spectrum is
acquired in the gas flow regime. For the purpose to increase
relaxation rate we used tube with paramagnetic substance –
activated charcoal. When coal tube was put in the path of
gas flow while in high field of magnet, signal intensity
became the same order of magnitude with the signal
obtained in the simple NMR experiment (in the stopped
flow).
Figure 1: 1H NMR PHIP spectra of 1,3-butadiene
hydrogenation reaction products over Pt catalysts with
different support nature
Conclusions • For the first time it was demonstrated that PHIP can be
obtained for all reaction products in the catalytic
hydrogenation reaction of 1,3-butadiene and 1-butyne over
supported Pt catalysts.
• Mechanisms of 1,3-butadiene and 1-butyne hydrogenation over Pt supported catalysts were suggested
taking into account the stage of pairwise addition of
hydrogen.
• Influence of support nature and Pt particle size to the NMR PHIP signal intensity were investigated.
Acknowledgements This work is supported by the RFBR 11-03-93995-
CSIC_a, RFBR 11-03-00248-а, RAS (5.1.1), SB RAS (67,
88), NSh-7643.2010.3, ERC (02.740.11.0262) and Grant of
President of Russian Federation (MK-1284.2010.3).
References [1] K. V. Kovtunov, I. E. Beck, V. I. Bukhtiyarov, I. V.
Koptyug, Angew. Chem. Int. Ed. 2008, 47, 1492. [2] L.-S. Bouchard, S. R. Burt, M. S. Anwar, K. V.
Kovtunov, I. V. Koptyug, A. Pines, Science 2008, 319, 442
Pt / TiO2
Pt / Al2O3
Pt / SiO2
Pt / C
Pt / ZrO2
Pt / TiO2
Pt / Al2O3
Pt / SiO2
Pt / C
Pt / ZrO2
Pt / TiO2
Pt / Al2O3
Pt / SiO2
Pt / C
Pt / ZrO2
Pt / TiO2
Pt / Al2O3
Pt / SiO2
Pt / C
Pt / ZrO2
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NMRCM 2011, Saint Petersburg, Russia, June 27
Solvation and hydration properties of organic molecules in
complex solutions
Alexey V. Donetsand Dieter Michel
Faculty of Physics
E-mail: [email protected] of Chemistry and Industrial NMR Centre, Royal Institute of Technology SE
Stockholm, Sweden2Faculty of Physics and Geosciences, University of Leipzig, Germany
1. Introduction The effects of hydration and solvation of organic
molecules are the points at fundamental issues of modern
biochemistry. The investigation of inte
biomolecules and solvation shells is usually quite difficult,
because the solute-solvent interactions must be treated on
the molecular level.
Approach developed in the Department of Q
Magnetic Phenomena (SPbSU) is based on
and complementary research methods: NMR
quantum chemical calculation. This approach allows
get the solvation and hydration properties of the
molecules in salt solutions.
2. NMR-relaxation method The method of investigation of the microstructure of
ionic solutions using measurements of the NMR
rates of solvent and solute nuclei as function of the
concentration and temperatures was earlier developed [1]. It
was found, that the ions can be used as probes in the st
of complex solutions. Researches of the NMR ion
useful for studying the hydration environment of organic
molecules. It was determined [2] that the
the Cl-, Br- , I- can change due to temperature variations
the relatively narrow interval: between 30 and 35
effect, initially observed for simple salt solutions, also exists
in ternary systems. Temperature studies of the relaxation of
the anion nuclei allow the determination of
hydration properties of organic molecules
spin-lattice and spin-spin relaxation gives information on the
mechanisms of exchange in solution and the protein surface
The investigation of the aqueous solutions of salts,
containing the Na+, Cl-, surfactants (SDS)
organic compounds, has been carried out in a wide range of
concentration and temperature.
Hydrophobic properties of surface of some amino
were studied. The results of NMR investigation suggest that
there are two classes of chlorine-bindi
molecules: a small number of strong binding sites, where the
chloride binding can be inhibited by stoichiometric amount
of the sodium dodecyl sulphate (SDS), and weak (SDS
insensitive) binding sites (see Fig. 1).
, June 27 – July 1, 2011 – 24 –
Solvation and hydration properties of organic molecules in
complex solutions
Donets, Vladimir I. Chizhik, Sergey V. DvinskikhMichel2
Physics, Saint-Petersburg State University, Russia
Department of Chemistry and Industrial NMR Centre, Royal Institute of Technology SE
Stockholm, Sweden
Faculty of Physics and Geosciences, University of Leipzig, Germany
The effects of hydration and solvation of organic
fundamental issues of modern
interactions between
biomolecules and solvation shells is usually quite difficult,
solvent interactions must be treated on
Approach developed in the Department of Quantum
U) is based on two independent
and complementary research methods: NMR-relaxation and
quantum chemical calculation. This approach allows us to
get the solvation and hydration properties of the organic
the microstructure of
solutions using measurements of the NMR-relaxation
rates of solvent and solute nuclei as function of the
concentration and temperatures was earlier developed [1]. It
be used as probes in the study
NMR ion nuclei are
useful for studying the hydration environment of organic
hydration shells of
can change due to temperature variations in
: between 30 and 35oC. The
effect, initially observed for simple salt solutions, also exists
of the relaxation of
of the solvation and
f organic molecules. Comparison of
spin relaxation gives information on the
and the protein surface.
The investigation of the aqueous solutions of salts,
, surfactants (SDS) and different
organic compounds, has been carried out in a wide range of
surface of some amino-acids
. The results of NMR investigation suggest that
binding sites on BSA
molecules: a small number of strong binding sites, where the
chloride binding can be inhibited by stoichiometric amount
of the sodium dodecyl sulphate (SDS), and weak (SDS-
Figure 1: Concentration dependences of the