Ground-state splitting

Only the first two terms in the series give contributions larger than 1 Hz to the ground state splitting in muonium. As usual, in the Coulomb problem, expansion in the series for the binding corrections goes over the parameter... 

Fig. 333 Ground-state splitting of Fe in Au determined by Mossbauer effect (Violet and Borg 1966) (a) observed (b) Brillouin function for s= 1.

Inelastic neutron scattering experiments have been used to study the ground state splitting of singly bridged dichromium(III) complexes of... 

Figure 4. Dependence of the ground-state splitting at 5 K (a) and the Neel temperature (b) on the Er concentration x in (ErxYi x)2BaNi05.

Our spectroscopic study of the (ErxYi.x)2BaNiOs system (0.1wave functions, and g-factors of the Er3+ ion practically do not depend on x. It is physically reasonable to assume that the molecular-field constant X of the Er-Ni interaction also does not depend on x. In this case, Eqs. (2) and (3) are valid for an arbitrary x and the ordered magnetic moments of the Er and Ni magnetic subsystems can be extracted from the experimentally measured ground-state splittings. 

Figure 5. Temperature dependences of the ordered magnetic moments of nickel and erbium subsystems in Er2BaNi05 (open circles) calculated from the measured Er3+ ground-state splitting A(7) according to Eqs. (2) and (3) with mEr(0)=7.24 pB [7], A.=l.81 T/pB. Data from neutron scatterine measurements T9. 71 are also shown.

Figure 6. Ordered nickel magnetic moments vs staggered magnetic field directed along the nickel chain. Both quantities are estimated from the spectroscopically measured ground-state splitting of Er3+ in (ErxY1.x)2BaNi05.

The optical spectra of natural and synthetic transition metal-doped corundums have been extensively studied both theoretically and experimentally. Data reviewed elsewhere (Bums and Bums, 1984a Bums, 1985a) are summarized in table 5.2. The Ae and CFSE values are only approximate because the ground-state splittings, 6, of the tlg orbital group (cf. fig. 2.9) are unknown but could amount to 1,000 cm-1 for some cations in corundum. 

The ground state electronic configuration ( n, ), ground state splitting (A = 350 cm" ), and excited state (II) at 25000... 

The ground-state constants are from Verma (9) and Verma and Dixit (2) The ground-state splitting Is from Rao ( ) who also reported the excitation energy of the A state. The energy of the B state is due to Singh (11), while that of the B state Is from... 

The experimental spectrum is characteristic of the Ai,A2 first excited states (j = 3/2) being 10cm wavenumbers above the E (j = 1/2) ground state, split to appear at 4 and 26 cm by a small warping term. 

The d-d spectrum of the brown compound [Ni(TACN)2](8206)3 7H2O is only partly resolved the lowest-energy absorption, which very probably corresponds to the Eg ground state splitting appears at 6,500 cm ... 

Figure 4. Schematic variation of the valence and lattice term contributions to the quadmpole splitting with increasing values of the 3d ground state splittings, Ai and A2. The quadmpole splitting, AEq, is the sum of the valence and lattice terms (adapted from Ingalls 1964).

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