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• W2021189013 abstract "The local microscopic magnetoelastic tensors have been determined for ${mathrm{Gd}}^{3+}$, ${mathrm{Yb}}^{3+}$, and ${mathrm{Er}}^{3+}$ in diamagnetic garnet hosts, the theory connecting these microscopic magnetoelastic tensors with the macroscopic magnetostriction constants of the magnetically ordered rare earth has been developed, and predictions made for the magnetostriction constants ${ensuremath{lambda}}_{100}$ and ${ensuremath{lambda}}_{111}$ of Gd, Yb, and Er iron garnets. Because the local site symmetry for the rare-earth ion in the garnets is low (orthorhombic), the number of independent constants in the microscopic magnetoelastic tensor is large. The magnetoelastic tensor has therefore been examined for hidden symmetries implied by the physical mechanisms underlying the magnetoelastic energy. The tensor was found generally not to be symmetric across the diagonal, whether the dominant physical effect was a change in crystal-field energy or a change in effective $g$ factor of the ion involved. The consequences of invariance of the trace of the crystal-field energy matrix or of the g tensor were examined. After analytic machinery involving the transformation of the local site tensors to the crystal-field axes was developed, the microwave EPR spectra of ${mathrm{Gd}}^{3+}$, ${mathrm{Yb}}^{3+}$, and ${mathrm{Er}}^{3+}$ in garnet hosts under uniaxial pressure were analyzed to yield the full orthorhombic magnetoelastic tensor for each ion. The connection between the single-ion rare-earth magnetoelastic tensors and the magnetostriction constants of the cubic ordered magnetic rare-earth iron garnets was then derived using a molecular-field model and a single-ion Hamiltonian. The magneto-striction constants ${ensuremath{lambda}}_{100}$ and ${ensuremath{lambda}}_{111}$ for GdIG, YbIG, and ErIG (in units of ${10}^{ensuremath{-}6}$) were predicted to be 4.2 and 1.7, 82 and 34, and 216 and -282, respectively. These are all within a factor of 2 of the observed low-temperature magnetostriction constants, except for ${ensuremath{lambda}}_{111}$ for YbIG, which is of the correct magnitude but the wrong sign. The origin of this discrepancy is presumed to be in the neglect of the change of the molecular field with strain." @default.
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• W2021189013 date "1967-08-10" @default.
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• W2021189013 title "Microscopic and Macroscopic Magnetoelastic Tensors for the Rare-Earth Garnets from Electron Paramagnetic Resonance under Pressure" @default.
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• W2021189013 doi "https://doi.org/10.1103/physrev.160.316" @default.
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