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Examples for 3d metal - ions Ion configuration Ground level J( J + 1) Ti 3+ ,V 4+ 3d 1 2 D 3/2 1.55 1.73 1.8 V 3+ 3d 2 2 F 2 1.63 2.83 2.8 Cr 3+ ,V 2+ 3d 3 2 F 3/2 0.77 3.87 3.8 Mn 3+ , Cr 2+ 3d 4 2 D 0 0 4.90 4.9 Fe 3 + , Mn 2+ 3d 5 2 S 5/2 5.92 5.92 5.9 Fe 2+ 3d 6 2 D 4 6.70 4.90 5.4 Co 2+ 3d 7 2 F 9/2 6.63 3.87 4.8 Ni 2+ 3d 8 2 F 4 5.59 2.83 3.2 Cu 2+ 3d 9 2 D 5/2 3.55 1.73 1.9 p g J J = p g S S = S( S + 1) exp p H. Zabel 3. Lecture: Local Moments 12
Magnetic moments of 3d-transition metal ions as a function of the number of electrons in the d-shell 7 6 5 4 p J p S p calculated calculated exp. p eff 3 2 1 0 -1 0 2 4 6 8 10 Elektronen in der d Schale The experimental values are closer to the calculated p S values than to the calculated p J -values H. Zabel 3. Lecture: Local Moments 13
Page 1 and 2: 3. Lecture: Basics of Magnetism: Lo
Page 3 and 4: 1. Local moments of magnetic ions O
Page 5 and 6: Nomenclature for spectroscopic term
Page 7 and 8: Overview of 3d-metal ions m L = H.
Page 9 and 10: L and S according to Hund‘s Rule
Page 11: Calculated effective magnetic momen
Page 15 and 16: Crystal electrical field splitting
Page 17 and 18: Octahedral crystal field Max. proba
Page 19 and 20: Adding all energy terms + H CF λL
Page 21 and 22: Degeneracies in crystal fields p-le
Page 23 and 24: High spin - low spin case • For d
Page 25 and 26: Consequences from a strong crystal
Page 27 and 28: 6. Magnetic moment of rare earth io
Page 29 and 30: Overview of 4f-rare earth ions m L
Page 31 and 32: Example: Ce 3+ (one electron in the
Page 33 and 34: Comparison of calculated and measur
Page 35 and 36: LS splitting for Sm LS -splitting Z

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