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Fermi estimation

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Journal Article
Published: 10 February 2016
Seismological Research Letters (2016) 87 (2A): 387–394.
...Edward M. Brooks; Molly Diggory; Enrique Gomez; Amir Salaree; Mark Schmid; Nooshin Saloor; Seth Stein ABSTRACT A common student response to quantitative questions without obvious answers is “I have no idea.” Often these questions can be addressed by Fermi estimation, in which a difficult...
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Journal Article
Published: 01 May 2020
Russ. Geol. Geophys. (2020) 61 (5-6): 600–610.
...–0.22 g/cm 3 on the distance between its characteristic peaks in Raman spectra (Fermi diads). The accuracy of density determination is ±0.03 g/cm 3 . The calibration plot was used to estimate the density of CO 2 in the gas phase of melt inclusions in magnesian olivine (Fo 84.8-88.5 ) from basalts...
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Journal Article
Published: 01 May 2001
American Mineralogist (2001) 86 (5-6): 714–730.
... pre-edge spectra show two components (due to crystal-field splitting) that are located just above the Fermi level. The most useful characteristics of the Fe-K pre-edge for determining Fe oxidation state and coordination number are the position of its centroid and its integrated intensity...
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Journal Article
Published: 01 February 2017
American Mineralogist (2017) 102 (2): 404–411.
... ). This is confirmed from our Raman measurements (see Fig. 6 ) showing that the difference between the Fermi dyad band peak positions measured from Samples I (with ~10 mol% CH 4 ) and III (no CH 4 ) is negligible within the estimated errors. Based on the systematic frequency shifts of ν − and D...
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Journal Article
Published: 01 July 2011
American Mineralogist (2011) 96 (7): 1090–1099.
... as rough estimates only. Progress has been made in performing ab initio calculations to determine at least qualitatively the nature of the Fermi contact interaction given various configurations of the paramagnetic center ( Carlier et al. 2003 ; Chazel et al. 2007 ), and it is likely...
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Journal Article
Published: 01 August 2011
American Mineralogist (2011) 96 (8-9): 1343–1353.
.... A peak assignment model is introduced for the 31 P spectra. Our analysis indicates that the paramagnetic interactions are dominated by the Fermi contact shift with a secondary contribution from the so-called “pseudocontact” shift. In general, the EPMA data corroborated the information gathered by XRD...
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Journal Article
Published: 01 August 2008
European Journal of Mineralogy (2008) 20 (4): 529–535.
... densities were estimated from Δ using previous relationship: 1.02–1.05 g/cm 3 , 1.14–1.16 g/cm 3 , and 1.18–1.19 g/cm 3 , respectively for olivine, pyroxenes, and spinel (Table 2 ). The pressure conditions of CO 2 fluid inclusions in cases in which the mantle xenolith was trapped by host magma were...
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Journal Article
Published: 01 June 2017
European Journal of Mineralogy (2017) 29 (3): 423–431.
.... (1994) . The density for fluids with no microthemometry data was approximated by determining the band separation of the CO 2 Fermi diad (Δ v Fermi diad ), which is known to be density (pressure)-dependent ( e.g. Fall et al. , 2011 ). Although the application of the latter estimation...
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Journal Article
Journal: Elements
Published: 01 April 2020
Elements (2020) 16 (2): 93–98.
... by heating to measure the temperature of melting of the last solid in the inclusion. The melting temperature (i.e., freezing-point depression) can then be used to estimate the salinity of the fluid inclusion. However, it is not always possible to freeze the FI, and, even if the FI can be frozen, it is often...
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Journal Article
Published: 01 August 2018
American Mineralogist (2018) 103 (8): 1271–1281.
... in Gomi et al. (2016) , the life time and the mean free path of electrons are relevant to the degree of broadening of the band structure in the vicinity of the Fermi energy via uncertainty relationship. Therefore, we can qualitatively estimate the electrical resistivity from the band structure...
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Journal Article
Published: 03 January 2022
American Mineralogist (2022) 107 (1): 92–99.
... subsolidus temperatures. For minerals, such temperatures comprise most terrestrial surface and near-surface occurrences and relevant solid-state experimental protocols. Non-interacting electrons in a periodic lattice potential are not described by free electron (Fermi gas) theory: they are delocalized...
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Journal Article
Published: 01 March 2000
American Mineralogist (2000) 85 (3-4): 543–556.
... the materials science and applied physics literature, it is customary to express the energy position of band edges with respect to the energy level midway in the band gap of the material (i.e., the Fermi level of the material), rather than on the absolute vacuum scale (AVS). In contrast, geochemical...
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Journal Article
Published: 01 January 2001
Reviews in Mineralogy and Geochemistry (2001) 42 (1): 199–271.
... states and charge redistribution cannot be neglected. Therefore, ab initio theory is a more general approach to these systems. The Fermi level, defined as the energy at which the chemical potential of electrons in the solid is zero, is also the principal reference level for the solid at which...
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Journal Article
Published: 01 January 2010
Reviews in Mineralogy and Geochemistry (2010) 71 (1): 1–18.
... an occupation number which is 1 for all orbitals with orbital energy ∑ α,σ below the Fermi level μ, and zero for all above. The ground-state energy is then (8) \batchmode \documentclass[fleqn,10pt,legalpaper]{article} \usepackage{amssymb} \usepackage{amsfonts} \usepackage{amsmath} \pagestyle{empty...
Journal Article
Published: 01 August 2009
European Journal of Mineralogy (2009) 21 (4): 751–761.
... and orthopyroxenes can be attributed to their different rheological properties during magma ascent. Modelling of pressure and depth within the temperature range in which the xenoliths equilibrated with the magmas yields information about the complex eruption history of basanitic volcanoes. Our estimates...
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Journal Article
Published: 01 March 2016
European Journal of Mineralogy (2016) 28 (1): 179–187.
... peaks. Variable-temperature (VT) NMR experiments were carried out using N 2 gas for both spinning and heating the sample. The temperature experienced by the sample is likely to be slightly higher than that of the heating gas due to frictional heating from spinning the rotor. The difference is estimated...
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Journal Article
Published: 01 May 2021
American Mineralogist (2021) 106 (5): 685–700.
..., favoring the exsolution of volatiles from the melt. The density of the CO 2 bubble may be estimated based on the distance between the peaks of the Fermi diad in the Raman spectrum of CO 2 ( Rosso and Bodnar 1995 ). To calculate the density of the CO 2 -bubble, the experimentally developed densimeters...
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Image
Calibration plot for <span class="search-highlight">estimation</span> of the CO 2  density in gas bubbles of melt...
Published: 01 May 2020
Fig. 3. Calibration plot for estimation of the CO 2 density in gas bubbles of melt inclusions as a function of the distance between characteristic CO 2 peaks (Fermi diads). The calibration plot was obtained using a Horiba Labram HR800 Raman spectrometer (532 nm, 1800 grooves/mm) at the Sobolev
Journal Article
Published: 01 July 2001
American Mineralogist (2001) 86 (7-8): 862–870.
... position of the tip has to be found such that the sum over the densities ( | Ψ | 2 ) of all states with energy eigenvalues ( E ) between e × (bias voltage, V bias ) to the Fermi level ( E F ) has to equal I theo which is the value of a theoretical tunneling current that is applied to the whole...
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Journal Article
Published: 01 April 2015
American Mineralogist (2015) 100 (4): 806–823.
... of the volatiles in the glass alone. Trapping depths can be as much as 10 km deeper than estimates that ignore the CO 2 in the bubble. In addition to CO 2 in the vapor bubbles, many MI showed the presence of a carbonate mineral phase. Failure to recognize the carbonate during petrographic examination or analysis...
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