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Pestryaev EM. Chain Heterogeneity in Simulated Polymer Melts: NMR Free Induction Decay and Absorption Line. POLYMER SCIENCE SERIES A 2020. [DOI: 10.1134/s0965545x20060097] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/23/2022]
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2
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Ostrovskaya IK, Fatkullin NF, Körber T, Rössler EA, Lozovoi A, Mattea C, Stapf S. On the theory of deuteron NMR free induction decay of reptating polymer chains: Effect of end segment dynamics. J Chem Phys 2020; 152:184904. [PMID: 32414263 DOI: 10.1063/5.0005049] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
A self-consistent approximation beyond the Redfield limit and without using the Anderson-Weiss approximation for the Free Induction Decay (FID) of deuteron spins belonging to polymer chains undergoing reptation is formulated. The dynamical heterogeneity of the polymer segments created by the end segments is taken into account. Within an accuracy of slow-changing logarithmic factors, FID can be qualitatively described by a transition from an initial pseudo-Gaussian to a stretched-exponential decay at long times. With an increase in observation time, the contribution from end effects to the FID increases. In the regime of incoherent reptation, contributions to the FID from central segments yield an exponent of 1/4 for the stretched decay and contributions from end segments yield an exponent of 3/16. In the regime of coherent reptation, the central segments generate a stretching exponent of 1/2, whereas the end segments contribute with an exponent of 1/4. These predictions are shown to be in qualitative agreement with the experimental FIDs of perdeuterated poly(ethylene oxide) with molecular masses of 132 kg/mol and 862 kg/mol.
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Affiliation(s)
- I K Ostrovskaya
- Institute of Physics, Kazan Federal University, Kazan 420008, Tatarstan, Russia
| | - N F Fatkullin
- Institute of Physics, Kazan Federal University, Kazan 420008, Tatarstan, Russia
| | - T Körber
- Inorganic Chemistry III and Northern Bavarian NMR Centre, Universität Bayreuth, D-95440 Bayreuth, Germany
| | - E A Rössler
- Inorganic Chemistry III and Northern Bavarian NMR Centre, Universität Bayreuth, D-95440 Bayreuth, Germany
| | - A Lozovoi
- Department of Physics, CUNY-The City College of New York, New York, New York 10031, USA
| | - C Mattea
- Department of Technical Physics II/Polymer Physics, TU Ilmenau, P.O. Box 100 565, D-98684 Ilmenau, Germany
| | - S Stapf
- Department of Technical Physics II/Polymer Physics, TU Ilmenau, P.O. Box 100 565, D-98684 Ilmenau, Germany
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Ostrovskaya IK, Fatkullin NF. The Effect of the End Segments on the Dynamics of a Polymer Melt: The Frequency Nature of the Effect and Possibility of Experimental Observation in the Free Induction Decay of Deuterons. POLYMER SCIENCE SERIES A 2020. [DOI: 10.1134/s0965545x20020030] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/23/2022]
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4
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Lozovoi A, Mattea C, Fatkullin N, Stapf S. Segmental Dynamics of Entangled Poly(ethylene oxide) Melts: Deviations from the Tube-Reptation Model. Macromolecules 2018. [DOI: 10.1021/acs.macromol.8b01857] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- A. Lozovoi
- Department of Technical Physics II, Technische Universität Ilmenau, 98684 Ilmenau, Germany
| | - C. Mattea
- Department of Technical Physics II, Technische Universität Ilmenau, 98684 Ilmenau, Germany
| | - N. Fatkullin
- Institute of Physics, Kazan Federal University, 420008 Kazan, Tatarstan, Russia
| | - S. Stapf
- Department of Technical Physics II, Technische Universität Ilmenau, 98684 Ilmenau, Germany
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5
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Pestryaev EM. Oscillating Free Induction Decay in Polymer Systems: Theoretical Analysis. POLYMER SCIENCE SERIES A 2018. [DOI: 10.1134/s0965545x18040090] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/23/2022]
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Fatkullin N, Körber T, Rössler E. Signature of reptation in the long-time behavior of the deuteron NMR Free Induction Decay in high molecular mass polymer melts. POLYMER 2018. [DOI: 10.1016/j.polymer.2018.03.050] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/17/2022]
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7
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Lozovoi A, Petrova L, Mattea C, Stapf S, Rössler EA, Fatkullin N. On the theory of the proton dipolar-correlation effect as a method for investigation of segmental displacement in polymer melts. J Chem Phys 2017; 147:074904. [DOI: 10.1063/1.4998184] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- A. Lozovoi
- Department Technical Physics II, Technische Universität Ilmenau, 98684 Ilmenau, Germany
- Institute of Physics, Kazan Federal University, Kazan 420008, Tatarstan, Russia
| | - L. Petrova
- Institute of Physics, Kazan Federal University, Kazan 420008, Tatarstan, Russia
| | - C. Mattea
- Department Technical Physics II, Technische Universität Ilmenau, 98684 Ilmenau, Germany
| | - S. Stapf
- Department Technical Physics II, Technische Universität Ilmenau, 98684 Ilmenau, Germany
| | - E. A. Rössler
- Department Experimentalphysik II, University of Bayreuth, 95440 Bayreuth, Germany
| | - N. Fatkullin
- Institute of Physics, Kazan Federal University, Kazan 420008, Tatarstan, Russia
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Kimmich R, Fatkullin N. Self-diffusion studies by intra- and inter-molecular spin-lattice relaxometry using field-cycling: Liquids, plastic crystals, porous media, and polymer segments. PROGRESS IN NUCLEAR MAGNETIC RESONANCE SPECTROSCOPY 2017; 101:18-50. [PMID: 28844220 DOI: 10.1016/j.pnmrs.2017.04.001] [Citation(s) in RCA: 39] [Impact Index Per Article: 5.6] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/10/2017] [Revised: 04/02/2017] [Accepted: 04/02/2017] [Indexed: 06/07/2023]
Abstract
Field-cycling NMR relaxometry is a well-established technique for probing molecular dynamics in a frequency range from typically a few kHz up to several tens of MHz. For the interpretation of relaxometry data, it is quite often assumed that the spin-lattice relaxation process is of an intra-molecular nature so that rotational fluctuations dominate. However, dipolar interactions as the main type of couplings between protons and other dipolar species without quadrupole moments can imply appreciable inter-molecular contributions. These fluctuate due to translational displacements and to a lesser degree also by rotational reorientations in the short-range limit. The analysis of the inter-molecular proton spin-lattice relaxation rate thus permits one to evaluate self-diffusion variables such as the diffusion coefficient or the mean square displacement on a time scale from nanoseconds to several hundreds of microseconds. Numerous applications to solvents, plastic crystals and polymers will be reviewed. The technique is of particular interest for polymer dynamics since inter-molecular spin-lattice relaxation diffusometry bridges the time scales of quasi-elastic neutron scattering and field-gradient NMR diffusometry. This is just the range where model-specific intra-coil mechanisms are assumed to occur. They are expected to reveal themselves by characteristic power laws for the time-dependence of the mean-square segment displacement. These can be favorably tested on this basis. Results reported in the literature will be compared with theoretical predictions. On the other hand, there is a second way for translational diffusion phenomena to affect the spin-lattice relaxation dispersion. If rotational diffusion of molecules is restricted, translational diffusion properties can be deduced even from molecular reorientation dynamics detected by intra-molecular spin-lattice relaxation. This sort of scenario will be relevant for adsorbates on surfaces or polymer segments under entanglement and chain connectivity constraints. Under such conditions, reorientations will be correlated with translational displacements leading to the so-called RMTD relaxation process (reorientation mediated by translational displacements). Applications to porous glasses, protein solutions, lipid bilayers, and clays will be discussed. Finally, we will address the intriguing fact that the various time limits of the segment mean-square displacement of polymers in some cases perfectly reproduce predictions of the tube/reptation model whereas the reorientation dynamics suggests strongly deviating power laws.
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Affiliation(s)
| | - Nail Fatkullin
- Institute of Physics, Kazan Federal University, Kazan 420008 Tatarstan, Russia
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9
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Lozovoi A, Mattea C, Hofmann M, Saalwaechter K, Fatkullin N, Stapf S. Segmental dynamics of polyethylene-alt-propylene studied by NMR spin echo techniques. J Chem Phys 2017; 146:224901. [PMID: 29166039 DOI: 10.1063/1.4984265] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
Segmental dynamics of a highly entangled melt of linear polyethylene-alt-propylene with a molecular weight of 200 kDa was studied with a novel proton nuclear magnetic resonance (NMR) approach based upon 1H → 2H isotope dilution as applied to a solid-echo build-up function ISE(t), which is constructed from the NMR spin echo signals arising from the Hahn echo (HE) and two variations of the solid-echo pulse sequence. The isotope dilution enables the separation of inter- and intramolecular contributions to this function and allows one to extract the segmental mean-squared displacements in the millisecond time range, which is hardly accessible by other experimental methods. The proposed technique in combination with time-temperature superposition yields information about segmental translation in polyethylene-alt-propylene over 6 decades in time from 10-6 s up to 1 s. The time dependence of the mean-squared displacement obtained in this time range clearly shows three regimes of power law with exponents, which are in good agreement with the tube-reptation model predictions for the Rouse model, incoherent reptation and coherent reptation regimes. The results at short times coincide with the fast-field cycling relaxometry and neutron spin echo data, yet, significantly extending the probed time range. Furthermore, the obtained data are verified as well by the use of the dipolar-correlation effect on the Hahn echo, which was developed before by the co-authors. At the same time, the amplitude ratio of the intermolecular part of the proton dynamic dipole-dipole correlation function over the intramolecular part obtained from the experimental data is not in agreement with the predictions of the tube-reptation model for the regimes of incoherent and coherent reptation.
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Affiliation(s)
- A Lozovoi
- Department of Technical Physics II, Technische Universität Ilmenau, 98684 Ilmenau, Germany
| | - C Mattea
- Department of Technical Physics II, Technische Universität Ilmenau, 98684 Ilmenau, Germany
| | - M Hofmann
- Department of Chemistry, Louisiana State University, 70803 Baton Rouge, Louisiana, USA
| | - K Saalwaechter
- Institut für Physik, Martin-Luther-Universität Halle-Wittenberg, D-06099 Halle (Saale), Germany
| | - N Fatkullin
- Institute of Physics, Kazan Federal University, Kazan 420008, Tatarstan, Russia
| | - S Stapf
- Department of Technical Physics II, Technische Universität Ilmenau, 98684 Ilmenau, Germany
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Lozovoi A, Mattea C, Herrmann A, Rössler EA, Stapf S, Fatkullin N. Communication: Proton NMR dipolar-correlation effect as a method for investigating segmental diffusion in polymer melts. J Chem Phys 2016; 144:241101. [PMID: 27369489 DOI: 10.1063/1.4954664] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- A. Lozovoi
- Department of Technical Physics II, Technische Universität Ilmenau, 98684 Ilmenau, Germany
| | - C. Mattea
- Department of Technical Physics II, Technische Universität Ilmenau, 98684 Ilmenau, Germany
| | - A. Herrmann
- Department of Experimentalphysik II, University of Bayreuth, 95440 Bayreuth, Germany
| | - E. A. Rössler
- Department of Experimentalphysik II, University of Bayreuth, 95440 Bayreuth, Germany
| | - S. Stapf
- Department of Technical Physics II, Technische Universität Ilmenau, 98684 Ilmenau, Germany
| | - N. Fatkullin
- Institute of Physics, Kazan Federal University, Kazan, 420008 Tatarstan, Russia
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11
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Li X, He A, Huang K, Liu H, Zhao Y, Wei Y, Xu Y, Noda I, Wu J. Two-dimensional asynchronous spectrum with auxiliary cross peaks in probing intermolecular interactions. RSC Adv 2015. [DOI: 10.1039/c5ra16062f] [Citation(s) in RCA: 24] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/22/2022] Open
Abstract
A new approach called “asynchronous spectrum with auxiliary peaks (ASAP)” is proposed for generating a 2D asynchronous spectrum to investigate the intermolecular interaction between two solutes (P and Q) dissolved in the same solution.
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Affiliation(s)
- Xiaopei Li
- Institute of Process Engineering
- Chinese Academy of Sciences
- P. R. China
- Beijing National Laboratory for Molecular Sciences
- State Key Laboratory for Rare Earth Materials Chemistry and Applications
| | - Anqi He
- Beijing National Laboratory for Molecular Sciences
- State Key Laboratory for Rare Earth Materials Chemistry and Applications
- College of Chemistry and Molecular Engineering
- Peking University
- Beijing 100871
| | - Kun Huang
- Institute of Process Engineering
- Chinese Academy of Sciences
- P. R. China
| | - Huizhou Liu
- Institute of Process Engineering
- Chinese Academy of Sciences
- P. R. China
| | - Ying Zhao
- Institute of Chemistry
- Chinese Academy of Sciences
- P. R. China
| | - Yongju Wei
- College of Chemistry and Material Science
- Hebei Normal University
- Shijiazhuang
- P. R. China
| | - Yizhuang Xu
- Beijing National Laboratory for Molecular Sciences
- State Key Laboratory for Rare Earth Materials Chemistry and Applications
- College of Chemistry and Molecular Engineering
- Peking University
- Beijing 100871
| | - Isao Noda
- Beijing National Laboratory for Molecular Sciences
- State Key Laboratory for Rare Earth Materials Chemistry and Applications
- College of Chemistry and Molecular Engineering
- Peking University
- Beijing 100871
| | - Jinguang Wu
- Beijing National Laboratory for Molecular Sciences
- State Key Laboratory for Rare Earth Materials Chemistry and Applications
- College of Chemistry and Molecular Engineering
- Peking University
- Beijing 100871
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12
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Cobo MF, Reichert D, Saalwächter K, deAzevedo ER. A double-component Anderson-Weiss approach for describing NMR signals of mobile SIn units: application to constant-time DIPSHIFT experiments. JOURNAL OF MAGNETIC RESONANCE (SAN DIEGO, CALIF. : 1997) 2014; 248:115-125. [PMID: 25442780 DOI: 10.1016/j.jmr.2014.09.009] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/08/2014] [Revised: 09/11/2014] [Accepted: 09/15/2014] [Indexed: 06/04/2023]
Abstract
A composed Gaussian local field is proposed to describe the effect of molecular motions on NMR signals of SIn units (e.g., CHn or NHn), based upon the well-know Anderson-Weiss (AW) approximation. The approach is exemplified on constant-time recoupled dipolar chemical-shift correlation (tC-recDIPSHIFT) experiments, providing an analytical formula that can be used as a fitting function in studies of intermediate-regime motions. By comparison of analytical tC-recDIPSHIFT curves and dynamic spin dynamics simulations, we show that for heteronuclear spin pairs (SI system), the AW treatment assuming the usual Gaussian local field is accurate. However, the approximation fails for the case of SIn spin systems for motional rates higher than a few kHz. Based on earlier work of Terao et al., who proposed a decomposition of CHn dipolar powder patterns into to 2(n) spin-pair-type patterns, we propose an AW approach based upon a double-Gaussian local field. We derive an analytical formula for tC-recDIPSHIFT signals, and demonstrate its accuracy by comparison with simulations of several motional geometries and rates, and with experimental results for a model sample. The approach is not limited to the tC-recDIPSHIFT experiment and should be of general use in dipolar-coupling based experiments probing (partially) mobile SIn molecular moieties.
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Affiliation(s)
- Marcio Fernando Cobo
- Instituto de Física de São Carlos, Universidade de São Paulo, Caixa Postal 369, CEP, 13560-970 São Carlos, São Paulo, Brazil.
| | - Detlef Reichert
- Institut für Physik - NMR, Martin-Luther-Universität Halle-Wittenberg, Betty-Heimann-Str. 7, D-06120 Halle, Germany
| | - Kay Saalwächter
- Institut für Physik - NMR, Martin-Luther-Universität Halle-Wittenberg, Betty-Heimann-Str. 7, D-06120 Halle, Germany.
| | - Eduardo Ribeiro deAzevedo
- Instituto de Física de São Carlos, Universidade de São Paulo, Caixa Postal 369, CEP, 13560-970 São Carlos, São Paulo, Brazil.
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Furtado F, Damron J, Trutschel ML, Franz C, Schröter K, Ball RC, Saalwächter K, Panja D. NMR Observations of Entangled Polymer Dynamics: Focus on Tagged Chain Rotational Dynamics and Confirmation from a Simulation Model. Macromolecules 2013. [DOI: 10.1021/ma4021938] [Citation(s) in RCA: 21] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Filipe Furtado
- Institut
für Physik, Martin-Luther-Universität Halle-Wittenberg, D-06099 Halle (Saale), Germany
| | - Joshua Damron
- Institut
für Physik, Martin-Luther-Universität Halle-Wittenberg, D-06099 Halle (Saale), Germany
| | - Marie-Luise Trutschel
- Institut
für Physik, Martin-Luther-Universität Halle-Wittenberg, D-06099 Halle (Saale), Germany
| | - Cornelius Franz
- Institut
für Physik, Martin-Luther-Universität Halle-Wittenberg, D-06099 Halle (Saale), Germany
| | - Klaus Schröter
- Institut
für Physik, Martin-Luther-Universität Halle-Wittenberg, D-06099 Halle (Saale), Germany
| | - Robin C. Ball
- Department of Physics, University of Warwick, Coventry CV4 7AL, U.K
| | - Kay Saalwächter
- Institut für
Physik, Martin-Luther-Universität Halle-Wittenberg, D-06099 Halle (Saale), Germany
| | - Debabrata Panja
- Institute for Theoretical
Physics, Universiteit Utrecht, Leuvenlaan 4, 3584 CE Utrecht, The Netherlands, and Institute of Physics, Universiteit van Amsterdam, Science Park
904, Postbus 94485, 1090 GL Amsterdam, The Netherlands
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Fatkullin N, Mattea C, Stapf S. On the theory of double quantum NMR in polymer systems: the second cumulant approximation for many spin I = 1/2 systems. J Chem Phys 2013; 139:194905. [PMID: 24320353 DOI: 10.1063/1.4830410] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
General analytical expressions for Double Quantum Nuclear Magnetic Resonance (DQ NMR) kinetic curves of many-spin I = 1∕2 systems are derived with an accuracy of the second cumulant approximation. The expressions obtained exactly describe the initial part of the kinetic curves and provide a reasonable approximation up to times of about the effective spin-relaxation time. For the case when the system contains two isolated spins, this result exactly reproduces known expressions. In the case of polymer melts, the intermolecular magnetic dipole-dipole interactions significantly influence the time dependence of the DQ NMR kinetic curves.
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Affiliation(s)
- N Fatkullin
- Institute of Physics, Kazan Federal University, Kazan, 420008 Tatarstan, Russia
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15
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Recent NMR investigations on molecular dynamics of polymer melts in bulk and in confinement. Curr Opin Colloid Interface Sci 2013. [DOI: 10.1016/j.cocis.2013.03.005] [Citation(s) in RCA: 31] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/17/2022]
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