Features of polymer chain dynamics as revealed by intermolecular nuclear magnetic dipole-dipole interaction: Model calculations and field-cycling NMR relaxometry

2010 ◽  
Vol 132 (9) ◽  
pp. 094903 ◽  
Author(s):  
N. Fatkullin ◽  
A. Gubaidullin ◽  
S. Stapf
2006 ◽  
Vol 20 (24) ◽  
pp. 1549-1557 ◽  
Author(s):  
M. K. ALQADI ◽  
F. Y. ALZOUBI ◽  
H. M. AL-KHATEEB ◽  
N. Y. AYOUB

We have calculated the levitation force and interaction energy between a short magnetic bar and a superconducting cylinder in the Meissner state using the dipole–dipole interaction model. We derived analytical expression of the levitation force acting on the short magnet as a function of the orientation angle of magnetic dipole, and the physical dimensions of the magnet-superconductor system. The effects of the thickness of the superconductor and the length of the magnet on the levitation force were studied.


Experimental and theoretical work has been carried out on the hyperfine structure of the 4ƒ 6 7 F ground multiplet of samarium. Hyperfine structure intervals have been measured in the levels J = 1, 2, 3 and 4 for both odd isotopes 147 Sm and 149 Sm by the method of atomic beams. These intervals have been fitted to magnetic dipole and electric quadrupole interaction constants. Further measurements at high magnetic field by the method of triple resonance have led to the evaluation of the nuclear magnetic dipole moments of the two isotopes. It is shown that a calculation of the breakdown of L-S coupling and of second order corrections, off-diagonal in J , is necessary for an interpretation of the spectrum. The application of these corrections is facilitated by the formulation of an effective Hamiltonian, and the whole problem is treated step by step as a practical example of the use of tensor operator techniques. The spectrum is described in terms of a few overdetermined parameters, and in particular three radial parameters are evaluated. They are defined by the operator describing the magnetic field produced by the electrons at the nucleus: T ( e ) 1 = 2 β ∑ i ⁡ { < r l − 3 > 1 i − < r s C − 3 > √ 10 ( s C 2 ) i 1 + < r s − 3 > s i } . Their values are: < r i -3 > = 6.39 0 6 a 0 -3 , < r 5 C -3 > = 6.5 13 12 a 0 -3 , < r 5 -3 > = -0.20 8 6 a 0 -3 . The most important result is a precise determination of the nuclear magnetic moment of 147 Sm. It is μ I 147 = -0.807 4 7 n. m., uncorrected for diamagnetism. Also the ratio of the dipole interaction constants is A 1 147 / A 1 149 = 1.2130 5 2 for all J , and there is no observable Bohr-Weisskopf anomaly. It is shown that relativity is a plausible explanation for the non-vanishing of < r 5 -3 > in the contact term, but this explanation is not conclusive because the effect of relativity cannot be distinguished from that of configuration interaction in any part of the dipole interaction. The values of < r i -3 > and < r 5 C -3 >, which differ from each other, are compared with the value of an < r -3 > integral calculated by other workers. From the quadrupole interaction a value of –½ e 2 Q 147 < r Q -3 > = 149· 40 86 Mc/s is obtained and with less precision a value of Q 147 = -0.2 2 0 barn, uncorrected for shielding effects, is deduced. The ratio of the quadrupole moments is Q 147 / Q 149 = -3.460 3 1 , on the assumption that this ratio is the same as that of the quadrupole interaction constants.


Agronomy ◽  
2020 ◽  
Vol 10 (7) ◽  
pp. 1040 ◽  
Author(s):  
Pellegrino Conte ◽  
Paolo Lo Meo

Nuclear magnetic resonance (NMR) techniques are largely employed in several fields. As an example, NMR spectroscopy is used to provide structural and conformational information on pure systems, while affording quantitative evaluation on the number of nuclei in a given chemical environment. When dealing with relaxation, NMR allows understanding of molecular dynamics, i.e., the time evolution of molecular motions. The analysis of relaxation times conducted on complex liquid–liquid and solid–liquid mixtures is directly related to the nature of the interactions among the components of the mixture. In the present review paper, the peculiarities of low resolution fast field-cycling (FFC) NMR relaxometry in soil science are reported. In particular, the general aspects of the typical FFC NMR relaxometry experiment are firstly provided. Afterwards, a discussion on the main mathematical models to be used to “read” and interpret experimental data on soils is given. Following this, an overview on the main results in soil science is supplied. Finally, new FFC NMR-based hypotheses on nutrient dynamics in soils are described


The nuclear magnetic dipole moments of 151 Eu and 153 Eu have been re-measured. The revised values (corrected for diamagnetic shielding) are: μ( 151 Eu) = 3.4630 ± 0-0006 n.m., μ( 153 Eu) = 1.5292 ± 0-0008 n.m. The ratio of the moments is μ( 151 Eu)/μ( 153 Eu) = 2.26505 ±0.00042. These results were obtained by the method of triple resonance in an atomic beam. The hyperfine structure anomaly in the ground state of the europium atom is zero within limits of error. In this special circumstance it is shown that part of the nuclear magnetic dipole interaction is explained by relativistic effects. The quadrupole interaction is treated by the same theory, and good agreement with experiment is obtained, but high precision is not claimed for the theoretical result. This theory is based on a new relativistic calculation involving the use of an effective operator acting between non-relativistic states.


2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Ji-wook Kim ◽  
Jie Wang ◽  
Hyungsub Kim ◽  
Seongtae Bae

AbstractMagnetic dipole coupling between the colloidal superparamagnetic nanoparticles (SPNPs) depending on the concentration has been paid significant attention due to its critical role in characterizing the Specific Loss Power (SLP) in magnetic nanofluid hyperthermia (MNFH). However, despite immense efforts, the physical mechanism of concentration-dependent SLP change behavior is still poorly understood and some contradictory results have been recently reported. Here, we first report that the SLP of SPNP MNFH agent shows strong concentration-dependent oscillation behavior. According to the experimentally and theoretically analyzed results, the energy competition among the magnetic dipole interaction energy, magnetic potential energy, and exchange energy, was revealed as the main physical reason for the oscillation behavior. Empirically demonstrated new finding and physically established model on the concentration-dependent SLP oscillation behavior is expected to provide biomedically crucial information in determining the critical dose of an agent for clinically safe and highly efficient MNFH in cancer clinics.


2012 ◽  
Vol 33 (7) ◽  
pp. 535-542 ◽  
Author(s):  
Wenjun J. Sun ◽  
Mehri Kaviani Mogadam ◽  
Marianne Sommarin ◽  
Henrietta Nittby ◽  
Leif G. Salford ◽  
...  

2021 ◽  
Vol 7 (2) ◽  
pp. 18
Author(s):  
Germana Landi ◽  
Fabiana Zama ◽  
Villiam Bortolotti

This paper is concerned with the reconstruction of relaxation time distributions in Nuclear Magnetic Resonance (NMR) relaxometry. This is a large-scale and ill-posed inverse problem with many potential applications in biology, medicine, chemistry, and other disciplines. However, the large amount of data and the consequently long inversion times, together with the high sensitivity of the solution to the value of the regularization parameter, still represent a major issue in the applicability of the NMR relaxometry. We present a method for two-dimensional data inversion (2DNMR) which combines Truncated Singular Value Decomposition and Tikhonov regularization in order to accelerate the inversion time and to reduce the sensitivity to the value of the regularization parameter. The Discrete Picard condition is used to jointly select the SVD truncation and Tikhonov regularization parameters. We evaluate the performance of the proposed method on both simulated and real NMR measurements.


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