Anenburg, Michael, Williams, Morgan J. (2021) Quantifying the Tetrad Effect, Shape Components, and Ce–Eu–Gd Anomalies in Rare Earth Element Patterns. Mathematical Geosciences, 54 (1). 47-70 doi:10.1007/s11004-021-09959-5
| Reference Type | Journal (article/letter/editorial) | ||
|---|---|---|---|
| Title | Quantifying the Tetrad Effect, Shape Components, and Ce–Eu–Gd Anomalies in Rare Earth Element Patterns | ||
| Journal | Mathematical Geosciences | ||
| Authors | Anenburg, Michael | Author | |
| Williams, Morgan J. | Author | ||
| Year | 2021 (July 18) | Volume | < 54 > |
| Page(s) | 47-70 | Issue | < 1 > |
| Publisher | Springer Science and Business Media LLC | ||
| URL | |||
| DOI | doi:10.1007/s11004-021-09959-5Search in ResearchGate | ||
| Generate Citation Formats | |||
| Original Entry | Anenburg, M., & Williams, M. J. (2022). Quantifying the tetrad effect, shape components, and Ce–Eu–Gd anomalies in rare earth element patterns. Mathematical Geosciences, 54(1), 47-70. | ||
| Classification | Not set | LoC | Not set |
| Mindat Ref. ID | 16062651 | Long-form Identifier | mindat:1:5:16062651:9 |
| GUID | 0 | ||
| Full Reference | Anenburg, Michael, Williams, Morgan J. (2021) Quantifying the Tetrad Effect, Shape Components, and Ce–Eu–Gd Anomalies in Rare Earth Element Patterns. Mathematical Geosciences, 54 (1). 47-70 doi:10.1007/s11004-021-09959-5 | ||
| Plain Text | Anenburg, Michael, Williams, Morgan J. (2021) Quantifying the Tetrad Effect, Shape Components, and Ce–Eu–Gd Anomalies in Rare Earth Element Patterns. Mathematical Geosciences, 54 (1). 47-70 doi:10.1007/s11004-021-09959-5 | ||
| In | Link this record to the correct parent record (if possible) | ||
| Abstract/Notes | AbstractPlots of chondrite-normalised rare earth element (REE) patterns often appear as smooth curves. These curves can be decomposed into orthogonal polynomial functions (shape components), each of which captures a feature of the total pattern. The coefficients of these components (known as the lambda coefficients—$$\lambda $$ λ ) can be derived using least-squares fitting, allowing quantitative description of REE patterns and dimension reduction of parameters required for this. The tetrad effect is similarly quantified using least-squares fitting of shape components to data, resulting in the tetrad coefficients ($$\tau $$ τ ). Our method allows fitting of all four tetrad coefficients together with tetrad-independent $$\lambda $$ λ curvature. We describe the mathematical derivation of the method and two tools to apply the method: the online interactive application BLambdaR, and the Python package pyrolite. We show several case studies that explore aspects of the method, its treatment of redox-anomalous REE, and possible pitfalls and considerations in its use. | ||
Map of Localities
Locality Pages
| Locality | Citation Details |
|---|---|
| Dubbo Zirconia Project, Toongi, Gordon Co., New South Wales, Australia |
Mineral Occurrences
| Locality | Mineral(s) |
|---|---|
| Dubbo Zirconia Project, Toongi, Gordon Co., New South Wales, Australia | ⓘ Bastnäsite, ⓘ Catapleiite, ⓘ Eudialyte, ⓘ Gaidonnayite, ⓘ Milarite, ⓘ Vlasovite |
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