2022
DOI: 10.1016/j.mencom.2022.09.025
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A simple method for quantification of nonstoichiometric magnetite nanoparticles using conventional X-ray diffraction technique

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Cited by 9 publications
(10 citation statements)
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“…The remaining three sextets correspond to iron atoms in different crystallographic positions for nonstoichiometric magnetite of the composition Fe 3-δ O 4 ≡ (Fe 3+ ) A (Fe 2+ 1-3δ Fe 3+ 1+2δ # δ ) B O 4 [ 49 , 50 ]. By analyzing the areas and isomeric shifts of the subspectra related to iron atoms in different crystallographic sites of magnetite, it is possible to estimate the value of the magnetite nonstoichiometric parameter (δ) using Equation (16) [ 51 ]: δ = {Σ(δ 2 − 3δ i + 2δ 3 ) × S i + (δ 2 − δ 3 )ΣS j }/{Σ(3δ 2 − δ i − 2δ 3 ) × S i + 3(δ 2 −δ 3 )ΣS j }, where S i is the relative area of the subspectrum with isomeric shift δ i related to iron atoms at the B site, S j is the relative area of the remaining subspectra, and δ 2 and δ 3 are isomeric shifts of iron atoms (+2) and (+3), respectively, in an octahedral oxygen environment for a given temperature (here, δ 2 = 1.16 ± 0.06 and 1.33 ± 0.09 mm/s for 296 and 78 K, respectively, and δ 3 = 0.37 ± 0.04 and 0.49 ± 0.04 mm/s for 296 and 78 K, respectively [ 41 ]). The results obtained for different temperatures are in agreement with each other, enabling the description of the composition of the samples as Fe 2.75 O 4 and Fe 2.85 O 4 for BR residue and sands residue, respectively; the first sample is more oxidized.…”
Section: Resultsmentioning
confidence: 99%
See 1 more Smart Citation
“…The remaining three sextets correspond to iron atoms in different crystallographic positions for nonstoichiometric magnetite of the composition Fe 3-δ O 4 ≡ (Fe 3+ ) A (Fe 2+ 1-3δ Fe 3+ 1+2δ # δ ) B O 4 [ 49 , 50 ]. By analyzing the areas and isomeric shifts of the subspectra related to iron atoms in different crystallographic sites of magnetite, it is possible to estimate the value of the magnetite nonstoichiometric parameter (δ) using Equation (16) [ 51 ]: δ = {Σ(δ 2 − 3δ i + 2δ 3 ) × S i + (δ 2 − δ 3 )ΣS j }/{Σ(3δ 2 − δ i − 2δ 3 ) × S i + 3(δ 2 −δ 3 )ΣS j }, where S i is the relative area of the subspectrum with isomeric shift δ i related to iron atoms at the B site, S j is the relative area of the remaining subspectra, and δ 2 and δ 3 are isomeric shifts of iron atoms (+2) and (+3), respectively, in an octahedral oxygen environment for a given temperature (here, δ 2 = 1.16 ± 0.06 and 1.33 ± 0.09 mm/s for 296 and 78 K, respectively, and δ 3 = 0.37 ± 0.04 and 0.49 ± 0.04 mm/s for 296 and 78 K, respectively [ 41 ]). The results obtained for different temperatures are in agreement with each other, enabling the description of the composition of the samples as Fe 2.75 O 4 and Fe 2.85 O 4 for BR residue and sands residue, respectively; the first sample is more oxidized.…”
Section: Resultsmentioning
confidence: 99%
“… δ—isomer shift; ε (Δ)—quadrupole shift (splitting); Γ exp —line width; H eff —hyperfine magnetic field; S—relative area of a subspectrum №; “δ in Fe 3-δ O 4 ”—magnetite nonstoichiometric parameter [ 51 ]. …”
Section: Resultsmentioning
confidence: 99%
“…Indeed, the sizes of magnetic domains can be estimated in the range from 12.6 (for Fe 3 O 4 -HA) to 15.7 (for Fe 3 O 4 -APTES) nm as reported in Table 1. Moreover, by analyzing the areas of the subspectra related to iron atoms in different crystallographic sites of magnetite, the value of the non-stoichiometric parameter-δ for nano-magnetite-Fe 3−δ O 4 ≡ (Fe 3+ ) A (Fe 2+ 1−3δ Fe 3+ 1+2δ # δ ) B O 4 [15,83], can be estimated by using the following expression:…”
Section: Local Environment Of Fe Atom/ionsmentioning
confidence: 99%
“…The remaining three sextets correspond to iron atoms in different crystallographic positions for nonstoichiometric magnetite of the composition Fe3-δO4 ≡ (Fe 3+ )A(Fe 2+ 1-3δFe 3+ 1+2δ#δ)BO4 [49,50]. By analyzing the areas and isomeric shifts of the subspectra related to iron atoms in different crystallographic sites of magnetite, it is possible to estimate the value of the magnetite nonstoichiometric parameter -δ, using the Equation ( 16) [51]:…”
Section: Mössbauer Analysismentioning
confidence: 99%
“…The hyperfine parameters of the minor doublet observed only at room temperature correspond to Fe 3+ ions in an octahedral oxygen environment [41]. δ − Isomer shift; ε (Δ) -Quadrupole shift (splitting); Γexp -Line width; Heff -Hyperfine magnetic field; S -Relative area of a subspectrum №, "δ in Fe3-δO4" -magnetite nonstoichiometric parameter [51].…”
Section: Mössbauer Analysismentioning
confidence: 99%