Polarisation corrections

H[ is the operator of the relative kinetic energy of the nuclei, H is a correction to the kinetic energy of the electrons, is a mass polarisation correction and // denotes the reduced mass of the nuclei. The explicit expression for H R) in terms of elliptic coordinates is given in Ref(Kolos and Wolniewicz, 1964). In the BO approximation the term is neglected. 

Figure 2 Systematic trends of the oscillator strengths of the 3s2 S0- 3s3p P 0 transitions in the magnesium isoelectronic sequence. RQDO (pol) are the core-polarisation-corrected RQDO f-values. Both CIV3 and GRASP f-values correspond to the length form of the transition integral...

The last two terms in (3.267) represent mass polarisation corrections to the spin-orbit and orbit orbit interactions respectively. From equations (2.73) and (3.250), the term Kspin.nuci is given by... 

The first term of (3.289) represents a translational Stark effect. A molecule with a permanent dipole moment experiences a moving magnetic field as an electric field and hence shows an interaction the term could equally well be interpreted as a Zeeman effect. The second term represents the nuclear rotation and vibration Zeeman interactions we shall deal with this more fully below. The fourth term gives the interaction of the field with the orbital motion of the electrons and its small polarisation correction. The other terms are probably not important but are retained to preserve the gauge invariance of the Hamiltonian. For an ionic species (q 0) we have the additional translational term... 

Mass polarisation correction to the electron kinetic energy. 

The earliest consideration of the polarisation correction with SR was for the precession camera and formulae were derived by Phillips et al (1977). 

For the oscillation camera placed on a horizontally dispersing monochromator Kahn et al (1982a), working from Azaroff (1955), derived the polarisation correction P as... 

P Polarisation correction A Absorption correction e Charge on the electron m Electron rest mass c Speed of light v Speed of electron 0 Permittivity of free space... 

This theory, when applied to the SPC water geometry but with a fixed dipole equal to that of an isolated H2O molecule, p = 1.85D, leads to the result = 2.62D. This is in good agreement with the well-known extended simple point charged model SPC/E which allows for the polarisation correction. This validates the self-consistent mean-field procedure. As an illustration of the anion polarisation effect. Fig. 7... 

In the polarisation correction [30], Fano introduced a correction factor Sc, which recognises that at very high velocities of the incident particle, the polarisation... 

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