EPR study of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant="normal">Er</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math>crystal-field and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow/><mml:mrow><mml:mn>165</mml:mn></mml:mrow></mml:msup></mml:mrow><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant="normal">Ho</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow><mml:mrow><mml:msup><mml:mrow><mml:mo>−</mml:mo><mml:mi mathvariant="normal">E</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math>interactions in single crystals of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">Ho</mml:mi></mml:mrow><mml:mrow><mml:mi>x</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">Y</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn><mml:mi>−</mml:mi><mml:mi>x</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">VO</mml:mi></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mo>(</mml:mo><mml:mi>x</mml:mi><mml:mo>=</mml:mo><mml:mn>0.02</mml:mn><mml:mn/><mml:mo>–</mml:mo><mml:mn>1</mml:mn><mml:mo>.</mml:mo><mml:mn>0</mml:mn><mml:mn>0</mml:mn><mml:mo>)</mml:mo></mml:math>
Why this work is in the frame
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Bibliographic record
Abstract
Liquid-helium temperature electron paramagnetic resonance (EPR) spectra of the ${\mathrm{Er}}^{3+}$ ion in single crystals of ${\mathrm{Ho}}_{x}{\mathrm{Y}}_{1\ensuremath{-}x}{\mathrm{VO}}_{4}$ $(x=0.02--1.0)$ are exploited to reveal the influence of the crystal-field and ${\mathrm{Er}}^{3+}{\ensuremath{-}\mathrm{H}\mathrm{o}}^{3+}$ interactions. The ${\mathrm{Er}}^{3+}$ g value at 4 K in the lightly doped samples $(x<0.3)$ was here successfully accounted for by the estimated crystal-field parameters ${(\mathrm{c}\mathrm{m}}^{\mathrm{\ensuremath{-}}1}$): ${B}_{2}^{0}=\ensuremath{-}108.0,$ ${B}_{4}^{0}=40.0,$ ${B}_{6}^{0}=\ensuremath{-}40.0,$ ${B}_{4}^{4}=\ensuremath{-}949.0,$ ${B}_{6}^{4}=26.0,$ while that in the concentrated paramagnetic samples $(x=0.9,$ 1.0) by the parameters ${(\mathrm{c}\mathrm{m}}^{\mathrm{\ensuremath{-}}1}$): ${B}_{2}^{0}=\ensuremath{-}114.8,$ ${B}_{4}^{0}=46.9,$ ${B}_{6}^{0}=\ensuremath{-}43.8,$ ${B}_{4}^{4}=\ensuremath{-}971.4,$ ${B}_{6}^{4}=91.9.$ The shift of the ${\mathrm{Er}}^{3+}$ g value in the paramagnetic ${\mathrm{Ho}}_{x}{\mathrm{Y}}_{1\ensuremath{-}x}{\mathrm{VO}}_{4}$ crystals $(x=0.9,$ 1.0) from that in the diamagnetic ${\mathrm{YVO}}_{4}$ crystal has been analyzed to estimate the value of the parameter \ensuremath{\gamma} (=-2.2 ${\mathrm{cm}}^{\mathrm{\ensuremath{-}}1}$) describing the diagonal element of the symmetric tensor representing ${\mathrm{Ho}}^{3+}{\ensuremath{-}\mathrm{E}\mathrm{r}}^{3+}$ interactions. The unresolved EPR linewidth of the ${\mathrm{Er}}^{3+}$ ion is accounted for by the indirect superhyperfine interaction ${(A}_{\ensuremath{\parallel}})$ of the ${\mathrm{Er}}^{3+}$ ion with the surrounding ${}^{165}\mathrm{Ho}$ nuclei, estimating ${A}_{\ensuremath{\parallel}}=0.0026{\mathrm{cm}}^{\mathrm{\ensuremath{-}}1}.$ In addition, the absolute value of the parameter \ensuremath{\varepsilon}, an off-diagonal element of the antisymmetric tensor describing ${\mathrm{Ho}}^{3+}{\ensuremath{-}\mathrm{E}\mathrm{r}}^{3+}$ interactions, has been estimated to be $|\ensuremath{\varepsilon}|=0.029{\mathrm{cm}}^{\mathrm{\ensuremath{-}}1}.$
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Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.015 | 0.015 |
| Meta-epidemiology (narrow) | 0.008 | 0.018 |
| Meta-epidemiology (broad) | 0.003 | 0.017 |
| Bibliometrics | 0.007 | 0.012 |
| Science and technology studies | 0.012 | 0.014 |
| Scholarly communication | 0.014 | 0.014 |
| Open science | 0.019 | 0.019 |
| Research integrity | 0.019 | 0.016 |
| Insufficient payload (model declined to judge) | 0.933 | 0.016 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it