Journal ArticleDOI
Dynamic effects of pair correlation functions on spin relaxation by translational diffusion in liquids
Lian-Pin Hwang,Jack H. Freed +1 more
Reads0
Chats0
TLDR
In this paper, it is shown how the equilibrium pair correlation function between spinbearing molecules in liquids may be incorporated as an effective force in the relative diffusion expressions, and how one may solve for the resulting time correlation functions and spectral densities needed for studies of spin relaxation by translational diffusion.Abstract:
It is shown how the equilibrium pair correlation function between spin‐bearing molecules in liquids may be incorporated as an effective force in the relative diffusion expressions, and how one may solve for the resulting time correlation functions and spectral densities needed for studies of spin relaxation by translational diffusion. The use of finite difference methods permits the solution no matter how complex the form of the pair correlation function (pcf) utilized. In particular, a Percus–Yevick pcf as well as one corrected from computer dynamics, both for hard spheres, are utilized. Good agreement with the experiments of Harmon and Muller on dipolar relaxation in liquid ethane is obtained from this analysis. Effects of ionic interactions in electrolyte solutions upon dipolar relaxation are also obtained in terms of Debye–Huckel theory for the pcf. Analytic solutions are given which are appropriate for the proper boundary‐value problem for the relative diffusion of molecules (i.e., a distance of mini...read more
Citations
More filters
Journal ArticleDOI
Magnetic Nanoparticles: Surface Effects and Properties Related to Biomedicine Applications
TL;DR: The magnetic properties of nanoparticles which are directly related to their applications in biomedicine are discussed, mainly on surface effects and ferrite nanoparticles, and on one diagnostic application of magnetic nanoparticles as magnetic resonance imaging contrast agents.
Journal ArticleDOI
Chemistry of MRI Contrast Agents: Current Challenges and New Frontiers
TL;DR: This comprehensive review describes the state of the art of clinically approved contrast agents, their mechanism of action, and factors influencing their safety and efforts to make safer contrast agents either by increasing relaxivity, increasing resistance to metal ion release, or by moving to gadolinium(III)-free alternatives.
Journal ArticleDOI
Theory, Practice, and Applications of Paramagnetic Relaxation Enhancement for the Characterization of Transient Low-Population States of Biological Macromolecules and Their Complexes
G. Marius Clore,Junji Iwahara +1 more
TL;DR: This work has shown that highly populated states are located within the global free energy minimum region of a relatively rough free energy hypersurface, and the structure and dynamics of lowly populated, higher free energy states which cannot be modeled.
Journal ArticleDOI
Macromolecules, Dendrimers, and Nanomaterials in Magnetic Resonance Imaging: The Interplay between Size, Function, and Pharmacokinetics
TL;DR: In this review, small molecule agents are introduced, but focus primarily on macromolecular MR contrast agents, particularly those containing gadolinium (Gd 3+ ) that are assembled or based in part on these same small molecules.
Journal ArticleDOI
Influence of molecular parameters and increasing magnetic field strength on relaxivity of gadolinium- and manganese-based T1 contrast agents.
TL;DR: Simulations were performed to understand the relative contributions of molecular parameters to longitudinal (r(1) and transverse) relaxivity as a function of applied field, and to obtain theoretical relaxivity maxima over a range of fields to appreciate what relaxivities can be achieved experimentally.
References
More filters
Journal ArticleDOI
Handbook of Mathematical Functions
Book
Table of Integrals, Series, and Products
TL;DR: Combinations involving trigonometric and hyperbolic functions and power 5 Indefinite Integrals of Special Functions 6 Definite Integral Integral Functions 7.Associated Legendre Functions 8 Special Functions 9 Hypergeometric Functions 10 Vector Field Theory 11 Algebraic Inequalities 12 Integral Inequality 13 Matrices and related results 14 Determinants 15 Norms 16 Ordinary differential equations 17 Fourier, Laplace, and Mellin Transforms 18 The z-transform
Book
Conduction of Heat in Solids
H. S. Carslaw,John Conrad Jaeger +1 more
TL;DR: In this paper, a classic account describes the known exact solutions of problems of heat flow, with detailed discussion of all the most important boundary value problems, including boundary value maximization.