Dipole magnet

Anisotropic exchange interaction within the Lines model described above. Dipole-dipole magnetic interaction between centres is calculated fully ah initio and is added to the exchange matrix. 

Figure 5. An isometric view of the new injection system, showing the dipole magnets B1 and B2, the electrostatic deflectors D1-D4, and the aperture plate A A. The positions of the electrostatic quadrupoles Q1 and Q2 are indicated also. The principal rays for beams of two different isotopes in the deflected up position are indicated by the solid lines, with the undeflected rays shown as...

Here p is the stellar dipole magnetic moment and M is the mass accretion rate through the disk. For this formula we assume a purely dipolar field higher multipoles weaken the dependence on M because the field is effectively stiffen... 

Before closing this chapter, it is important to emphasize the context in which the transition rate expressions obtained here are most commonly used. The perturbative approach used in the above development gives rise to various contributions to the overall rate coefficient for transitions from an initial state i to a final state i these contributions include the electric dipole, magnetic dipole, and electric quadrupole first order tenns as well contributions arising from second (and higher) order terms in the perturbation solution. 

In this expansion the dipole-dipole term is the most prominent if donor-acceptor distance R is not too small. The dipole-dipole term represents the interaction between the transition dipole moments Md and MA of donor and acceptor molecules, respectively. The square of these transition dipoles is proportional to the oscillator strengths fy> and fA for radiative transitions in the individual donor and acceptor molecules (equation 3.73). Higher order terms such as electric dipole-electric quadrupole, electric-dipole-magnetic dipole, become important at close approach and may be effective in crystals and highly ordered array of chromophores. 

Example Problem A dipole magnet deflects charged particle beams through an angle of 22.5° with a radius of 2.0 m. For ease of construction the magnet has rectangular pole pieces 0.5 x 1.5 m long. The beam enters normally at the... 

The mixed electric dipole-magnetic dipole polarizability G ttiB (co) introduced in Equation (2.98) can be written as a sum-over-states expression [29]... 

Ordinary Raman scattering is determined by derivatives of the electric dipole-electric dipole tensor ae, and ROA by derivatives of cross-products of this tensor with the imaginary part G,e of the electric dipole-magnetic dipole tensor (the optical activity tensor) and the tensor Ae which results from the double contraction of the third rank electric dipole-electric quadrupole tensor Ae with the third rank antisymmetric unit tensor s of Levi-Civita. The electronic property tensors have the form ... 

FIGURE 1.35 Precession of nuclear dipole magnetic moment. 

FIGURE 2. (a) Electromagnetic spectrum of SR. (b) Spatial distribution of SR at non-relativistic (v c) and relativistic (v = c) velocities, (c) Schematic digram of SR source, its beamlines (L,-L4), particle injection system (IS) and magnetic lattice (bm = bending dipole magnet, id = insertion device such as wiggler or undulator)... 

Fig. 15. Schematic top view of the DIRAC spectrometer. Moving from the target station toward the magnet there are four MicroStrip Gas Chambers (MSGC), two Scintillating Fibre Detectors (SFD) and an Ionization Hodoscope (IH). Located downstream from the dipole magnet, on each arm of the spectrometer, are 4 modules of Drift Chambers (DC), a Vertical and a Horizontal Hodoscope (VH, HH), a Cherenkov counter (C), a Preshower detector (PSh) and, behind an iron absorber, a Muon counter (Mu)...

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