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Thus, in the crystal structures of NH 2 (CH 3) 2Al 1−x Cr x (SO 4) 2 × 6H 2 O with x = 02 and 0065 octahedra are occupied by statistical mixtures of magnetic Cr −The Cr−MSUx synthesized with Si/Cr = , aging at 25 °C for 22 h, and templating by fatty alcohol polyoxyethylene ether gave the best activities, resulting in 580% ethane conversion and 921% ethylene selectivity The Cr species in Cr−MSUx are more efficient in activating and converting ethane molecules than are conventional catalysts †Solution By definition S is the set of x satisfying 1 < x ≤ 5 Hence 1 is a lower bound for S Suppose that 1 is not the GLB of S Then there is an ǫ > 0 such that 1 ǫ is also a lower bound for S To contradict this, we exhibit x ∈ S such that 1 < x < 1ǫ Since 0 < ǫ 2 < ǫ we see that x = 1 ǫ 2 satisfies 1 < x < 1ǫ
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Cr xp table-− < = ≥ if 0 if 0 x x x x x Geometrically The absolute value of a number indicates its distance from another number − = x c a means the number x is exactly _____ units away from the number _____ − < x c a means The number x is within _____ units of the number _____ How to solve equations and inequalities involving absolute valueThe π character of the Cr−L multiple bonds depends on the nature of L ligand, ie, with electron density polarized toward the Cr and O center for Cr−C carbyne and Cr−O oxo bond, respectively, whereas electron density is roughly equally distributed at both Cr and N for the Cr−N nitrido and Cr−N imido bonds Bond characterizations are
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Spincluster effect and latticedeformationinduced Kondo effect, spinglass freezing, and strong phonon scattering in Lasub 07Casub 03Mnsub 1−xCrsub xOsub 3 By Marcel Ausloos Nonadiabatic small polarons, positive magnetoresistance, and ferrimagnetism behavior in the partially inverse Mn2−xV1xO4 spinels Intrinsic structural distortion and exchange interactions in SmFe x Cr 1−x O 3 compounds Z Xiang, W Li and Y Cui, RSC Adv, 18, 8, 42 DOI /C7RAC This article is licensed under a Creative Commons Attribution 30 Unported Licence You can use material from this article in other publications without requesting further permissions from the1 −2x2 2105 0 5 10 x1105 0 5 10 x 0 Q A positive semidefinite quadratic form is bounded below by the plane x = 0 but will touch the plane at more than the single point (0,0), it will touch the plane along a line Figure 3 shows a positivesemidefinite quadratic form
OSTIGOV Journal Article Synthesis and Superconductivity of Ba{sub 2}Ti{sub 2}(Fe{sub 1−x}Cr{sub x}){sub 2}As{sub 4}O We study the magnetic short range order (MSRO) in Fe 1 − x Cr x (0 ≤ x ≤ 015) where an inversion of atomic short range order (ASRO) occurs at x C = 011 (1)Our combination of neutron diffuse scattering and bulk magnetization measurements offers a comprehensive description of these local orders at a microscopic levelEXPERIMENTAL Polycrystalline samples of Cd 1−x Cu x Cr 2 O 4 (01≤x≤07) were prepared by standard solidstate reactions of CdO (9995%), CuO (%), and Cr 2 O 3 (9998%) powders from Alfa Aesar company The stoichiometric powder mixtures were well ground and calcined for 4 h at 800 °C in air The resultant mixtures were reground, palletized, and then sintered for 72 h at
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In other Krylov space solvers (eg, CR), there may be indices where x n exists, but the polynomial q n−1 is of lower degree than n−1 There are also nonstandard Krylov space methods where the search space for x n −x 0 is still a Krylov space but one that differs from K n(A,r 0) Brief Introduction to Krylov Space Solvers 5 1 Introduction In bcc/bct Fe 1−x Cr x alloys, Fe and Cr are immiscible at low temperatures, partly due to the magnetic property difference between Fe and Cr 1,2At room temperature, bcc Fe is ferromagnetic, whereas bcc Cr is antiferromagnetic Within the miscibility gap, the two elements will demix developing a selforganizing nanostructure of Ferich (α) and This paper presents AES concentration‐dependent sensitivity factors and a method to determine the atomic concentrations of O, Fe and Cr in (Cr1−xFex)2O3 solid solutions In addition, a solution to the problem of the overlap between the O KVV and Cr LMV peaks is presented The new approach to evaluate solid solutions of (Cr1−xFex)2O3 then has been used
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Atomic disorder effects on halfmetallicity of the fullHeusler alloys Co 2 ( Cr 1 − x Fe x ) Al A firstprinciples study Published in Physical Review B on Web of Science (Free Access) View full bibliographic record View citing articles The formed defect clusters of Mg Ga ′Cr N2Ge Ga ·, which are closely related to the trap depth, can be accurately regulated through varying the doping content of Mg 2 /Ge 4 in the resulting spinel solid solutions of ZnGa 2− x (Mg/Ge) x O 4Cr 3 (x = 0–125) Moreover, the defect clusters cannot only store and recharge visible and UV318 Chapter 4 Fourier Series and Integrals Zero comes quickly if we integrate cosmxdx = sinmx m π 0 =0−0 So we use this Product of sines sinnx sinkx= 1 2 cos(n−k)x− 1 2 cos(nk)x (4) Integrating cosmx with m = n−k and m = nk proves orthogonality of the sines
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Crdoped Sm 056Sr 044Mn 1−x Cr xO system On the other hand, Raveau et al9 found that doping of Cr and Co induces an insulatormetal transition in the insulating AFM phase of Pr 05Ca MnO 3 PCMO without applying magnetic field Similarly magnetic phase diagram of Nd Mn Cr x O 3 have been proposed, in which for x 06, there is a transitionRietveld refinement was used to analyze the XRD data for each composition The Rietveld refined patterns of the SmFe x Cr 1− x O 3 (x = 0, 02 and 05) samples are shown in Fig 1(b–d)The lattice parameters a, b, and c of the samples obtained from the Rietveld refinement are listed in Table 1It was found that the unit cell lengths increase with increasing Fe 3 content, as seen in Table Xray analysis showed that the compounds are pure solid solutions with orthorhombic symmetry at x values 0 and 05 and with monoclinic symmetry for x values 10, 15 and The calculated crystallite size ranged from about to 110 nm, except for Sc 2 (WO 4 ) 3 characterized by considerably larger sizes
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The SOFC interconnect materials La 0 7 5 Sr 0 2 5 Cr 1 − x O 3 − δ (x = 0 – 0 0 4) were prepared using an autoignition process The influences of Cr deficiency on their sintering, thermal expansion and electrical properties were investigated All the samples were pure perovskite phase after sintering at 1400 ∘ C for 4 h• Na 4Cr(CO)4 has the extraordinarily low ν(CO) of 1462 cm −1, the extremely high anionic charge on the complex, and ion pairing of Na to the carbonyl oxygen contribute to the reduced CO bond order by favoring the M≡C−ONaresonance form • As the CO ligand is small and strongly bound, many will usually bind as are On this basis, a unit sensitivity of 4038–6750 ns °C −1 m −1 and a resolution of 124–074 °C are achieved for the 110oriented (Mg 09 Zn 01)(Al 0995 Cr 0005) 2 O 4 SCFUTS in the range of –10 °C, both of which represent the best sensor performance achieved by a SCFUTS to date
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The structural and magnetic properties of polycrystalline ceramics of Zn1−x Cr x O (x=001–010) annealed at 900 and 10 °C were systematically investigated by means of Xray diffractometer, electron spin resonance (ESR) spectroscopy, and a superconducting quantum interference device magnetometer A coexistence of two structural phases of wurtziteZnO andElectronic structure and spectroscopy of the quaternary Heusler alloy Co 2 Cr 1− x Fe x Al Journal of Physics D Applied Physics, 06 Hongji LinPhysics 505 Homework No 5 Solutions S51 1 Angular momentum uncertainty relations A system is in the lmeigenstate of L2, Lz (a) Show that the expectation values
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Heat capacities of (Cr−xFex)3Te4 (x = 0, 002, 004 and 01) were measured from 325 to 9 K by using an adiabatic scanning calorimeter The sample ofA ´´ ´ ´ ´ ´ Abstract The Li M Hf (PO ) (M5 Cr, Fe, Bi) systems have been studied and single phases have been isolated for M 5 Cr 11 xx 22x 43 and Fe The samples have been characterized by Xray powder diffraction, diffuse reflectance and impedance spectroscopy There is a reconstructive transition between rombohedral NASICON and orthorhombic Sc (WO ) type structures as a 24 3 Cr 1 − x Fe x N Both pure Cr and Fe targets were pressed from the powders of Cr (9999%) and Fe (9999%), respectively The mixed targets were made with a suitable molar ratio of Cr and Fe The pressure of ambient gas was controlled at by a needle valve during deposition
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Chromium nitride is a chemical compound of chromium and nitrogen with the formula CrN It is very hard, and is extremely resistant to corrosionIt is an interstitial compound, with nitrogen atoms occupying the octahedral holes in the chromium lattice as such, it is not strictly a chromium(III) compound nor does it contain nitride ions (N 3−)Chromium forms a second interstitial nitrideThe solution of (b0,b1) that minimize Q is such that−2 n i=1 {Yi −b0 −b1Xi} =0, −2 n i=1 Xi{Yi −b0 −b1Xi} =0 The least squares estimators b0,b1 are calculated by solving normal equations −2 n i=1 (Yi −b0 −b1Xi)=0−2 n i=1 Xi(Yi −b0 −b1Xi)=0 Finally, we have the LSE (least squares estimators) b1 = n i=1 (Xi −X ¯)(Yi −Y)n i=1 (Xi −X¯)2b0 = 1 n {n i=1 Yi −b1 n i2−xNi xAs 2 with x = 00, the maximum T c is about 1K in the Cr free sample Substituting 035 % Cr with y = 0007 in BaFe 2−−xyNi xCr yAs 2, T c quickly decreases to 152K No superconductivity above 005K is found in the compounds with x = 00 and y = 0027, indicating that 15 % Cr can suppress optimal superconductivity in
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(a) Energy levels of the excited state (X − Cr ) and ground state (h − Cr ) in a positively charged Cr doped QD The electronCr exchange interaction and the fine structure term E are neglected and the structure of X − Cr is controlled by D 0 The most intense transitions in σ and σ − polarizations are indicated with thick Figure 1(b) shows the XRD patterns of αFe 2−x Cr x O 3 films with x = 04 and 07, which were deposited on FTO substrates for a deposition time of 35 s The sharp peaks indexed at (1 0 4), (1 1 0), (1 1 3) and (1 1 6) clearly indicate single phase αFe 2 O 3 with a hexagonal(x− 2)2 (y − 2)2 = 1, oriented counterclockwise Solution C2 = ∂D, where D is the disk (x − 2)2 (y − 2)2 ≤ 1 Note that D does not contain the origin (0,0), and the components −x/(x2 y2), y/(x2 y2) of F are defined and has continuous partial derivatives on D By the vector form of Green's theorem, Z C2 F·dr = ZZ D
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Indicates presence of a phase diagram) Google Scholar Herein, using a metalorganic framework as an anchoring matrix, we for the first time obtained pyrolyzed Cr/N/C SACs for the ORR, where the atomically dispersed Cr is confirmed to have a Cr−N 4 coordination structure The Cr/N/C catalyst exhibits excellent ORR activity with an optimal halfwave potential of 0773 V versus RHEThe lattice expansion observed for x = 08, in addition to an apparent stabilization of the bond lengths for x = 06 and 08, suggested
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γCr 23−x Fe x C 6 (x = 0–3) superion cluster morphology Although subsequently forgotten, Westgren 27,38 already recognized that the Cr 23 C 6 structure can be viewed as composed of Cr (4a In this study, La 067 Ca 02 Ba 013 Fe 1−x Cr x O 3 (x = 0 and 003) powders were prepared by autocombustion method The examination of the purity and crystalline structure of the samples by Xray diffraction showed a cubic structure formed with the \(Pm\overline{3}m\) space group Scanning electron microscopy was used to study the This work presents the results of first principles calculations of the electronic and magnetic properties of the compound SnTe and GeTe in zinc blende (ZB) and rock salt (RS) structures, doped with 3d transition metal V, Cr, and Mn The present study, initiated from the viewpoint of potential application in spintronics, is motivated by our earlier work involving these
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A minor amount of (Cr 1−y Mn y ) 5 Al 8 with y = 072 was also found in the samples by scanning (S)TEM and EDX analysis This phase was later synthesized in pure form and studied further 107Google Scholar provides a simple way to broadly search for scholarly literature Search across a wide variety of disciplines and sources articles, theses, books, abstracts and court opinions Indicates key paper71Sve VN Svechnikov and ATs Spector, "The Zr−Cr 2 Region of the Cr−Zr Phase Diagram,"Russ Met, 4, 141 (1971) (Equi Diagram;
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0) = −r 0v r(r 0,θ 0) and f0(z 0) = e −iθ 0(u r(r 0,θ 0)iv r(r 0,θ 0)) Proof By the chain rule from multivariable calculus, ∂u ∂r = ∂u ∂x ∂x ∂r ∂u ∂y ∂y ∂r and ∂u ∂θ = ∂u ∂x ∂x ∂θ ∂u ∂y ∂y ∂θ Since x = rcos(θ) and y = rsin(θ), we have u r = u x cos(θ)u y sin(θ) 1
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