Magnetic moments induced

On the basis of these observations, an interesting formation of nanostructures consisting of SWNTs was probably achieved by magnetic force, magnetic orientation, interaction of induced magnetic moment of SWNTs due to strong magnetic fields, and self-assembly of SWNTs due to hydrophobic interaction in aqueous solution and so on [46, 48]. 

The subscripts refer to Cartesian coordinates in the laboratory coordinate system. The terms E(go) and B(go) are the electric and magnetic induction fields, respectively. In addition, the nonlinear induced magnetic moment (magnetization) is defined as ... 

Influence of Induced Magnetic Moments (Neighbor Anisotropy) and Ring-Current Effects... 

The electrons in a solid interact both with one another and with the lattice vibrations. A theme of this book is the effect of the interaction between electrons in inducing magnetic moments and metal-insulator transitions. Interaction with phonons also has an important effect, particularly in some transitional-metal oxides. In this chapter both kinds of interaction are introduced. 

In other words, the induced magnetic moment per particle is just proportional to the expectation value (5Z). Note that the value of (5Z) is referred to a single spin 5 and to its fractional occupancy of the energy level ladder. In the case of a spin ensemble, the value of (5Z) provides the average value of Sz of the... 

Upon rotation the average electron induced magnetic moment causes nuclear relaxation. This is called Curie relaxation (see Section 3.6). However, the full electron magnetic moment causes nuclear relaxation through dipolar and contact mechanisms by jumping over the various Zeeman levels. The electron jumps over the Zeeman levels with rates equal to the electronic R or R2 values and such jumps give also rise to nuclear relaxation. 

The present Chapter deals with the hyperfine shifts which are only due to the average electron induced magnetic moment and therefore are related to (Sz). Chapter 3 will deal with nuclear hyperfine relaxation which, as discussed above, depends on both average electron induced magnetic moment (Curie relaxation) and on the full electron magnetic moment (dipolar and contact relaxation). 

THE INDUCED MAGNETIC MOMENT PER METAL ION IN POLYMETALLIC SYSTEMS, THE HYPERFINE CONTACT SHIFT, AND THE NUCLEAR RELAXATION RATES... 

The induced magnetic moment per metal ion in polymetallic systems 207... 

The contact hyperfine shift experienced by a nucleus is proportional to the induced magnetic moment of each S level times the hyperfine coupling constant... 

Fig. 4.53 The induced magnetic moment (nQM) as a function of applied field for (a) a Type I superconductor and (b) a Type II superconductor.

A particular crystal has a cubic unit cell of side 1 nm. Each cell has an associated induced magnetic moment of 10 7 B for an applied field of 103 Am-1. Calculate the susceptibility and offer an opinion as to whether the material is diamagnetic, paramagnetic or ferromagnetic. [Answers % = 9.3 x 10-7 diamagnetic]... 

The direction of the induced magnetic moment opposes the direction of the applied field, giving rise to diamagnetism. Evidently also, the effective magnetic field at the nucleus will be reduced the nucleus is screened . In practice we must now calculate the probability distribution of all electrons ( ), giving a total moment,... 

In addition, the external magnetic field induces magnetic moments due to electron circulation in connection with chemical bonds. The observed chemical shift for a given nucleus depends on the orientation of the molecule and of the chemical bond containing the nucleus relative to the magnetic field Bq. In a microcrystalline powder, this chemical bond will have a distribution of orientations relative to the external magnetic field, which leads to... 

Ho critical field of induced magnetic moment reversal at T = 0 K... 

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