Epsilon iron oxide (ε-Fe2O3) is attracting global attention as a magnetic material with a large magnetic anisotropy. In this article, the optical properties of ε-Fe2O3 nanoparticles and the metal-substituted series of ε-MxFe2−xO3 (M = Ga, In, and Al) are studied over a wide frequency range from the millimeter-wave to terahertz-wave region, 30 GHz–30 THz, using terahertz time-domain, far-infrared, and Raman spectroscopies. To understand the spectroscopic data, first-principles calculations of the electronic structure and phonon modes are performed. First, an ε-Fe2O3 bar magnet is introduced and its atomic movements are calculated by phonon mode calculations. Second, the phonon modes of Ga-substituted ε-Fe2O3 are calculated. Far-IR, mid-IR, and Raman spectroscopies confirm that the calculated and observed spectra show good agreement. Third, the influences of In-substitution on the crystal structure, magnetic properties, and millimeter-wave absorption are described. In high-frequency millimeter-wave absorption due to magnon, the resonance frequency decreased with In-substitution. Finally, the millimeter-wave absorption property of ε-AlxFe2−xO3 is described. An absorption peak due to the natural resonance occurs at 100 GHz. The rotation data of the transmitted millimeter wave are determined by millimeter-wave–polarization-plane measurements.
<p style='text-indent:20px;'>This paper studies the pricing and recycling decision problems in a closed-loop supply chain (CLSC) containing a manufacturer, a downstream retailer, and a third-party recycling left. The manufacturer is subjected to the cap-and-trade regulation and determines the wholesale price of products and carbon emission reduction rate. The retailer determines its resale price to meet customer demands. The third-party recycling left determines the collection rate of recycling and remanufacturing used products. The new product demands, total carbon emissions, and recovery of these products are characterized as uncertain variables due to lack of historical data or insufficient data collected for research. By constructing three decentralized game models, we explore the equilibrium solutions under the corresponding decision-making situation and the corresponding analytical solutions. Finally, numerical experiments are performed to show the total profit of supply chain members for each structure and some special insights are drawn.</p>
The customer demands of various products bring a challenge for manufacturers. They have to design customized products while maintaining economies of scale and low costs. In this paper, to address this challenge, four approaches are argued to help companies find out the optimal solutions of products’ performance and the maximum profit: (i) only platform modularity without component sharing (ii) only component sharing without platform modularity, (iii) using both platform modularity and component sharing to develop products, or iv) the products are developed individually from a given unshared components set. A theoretical model is proposed and the most profitable approach is found to develop a whole new product family when uncertainty exists in the customer demand and economies of scale with pre-defined parameters. We find that, when consumers’ valuation is considered, the manufacturer may prefer to adopt platform or component sharing individually rather than combining them because the performance of high-end products using platform and component sharing strategies is worse than that using two strategies separately. If platform and component sharing are adopted, the high-end product is under designed, but the manufacturer can benefit from economies of scale. When economies of scale of the platform are greater than or equal to that of component sharing, the optimal performance level of low-end products under platform strategy is lower than that under component sharing strategy. Finally, the detailed numerical analysis provides support for the feasibility and effectiveness of the model.
The spin‐crossover (SCO) and charge‐transfer (CT) phenomena, the switching processes between two distinguishable magnetic states, are promising for developing materials capable of sophisticated memory and sensing functionalities. The majority of SCO systems are based on iron(II) complexes. However, cobalt(II)‐2,2′:6′,2′′‐terpyridine (terpy) systems emerge as a promising alternative. In this work, new complex salts [CoII(terpy)2]2[MoIV(CN)8] ⋅ 15H2O, Co2Mo(H2O), and [CoII(terpy)2]3[WV(CN)8]2 ⋅ 12H2O, Co3W2(H2O) were synthesized and physiochemically characterized. Structural studies for both compounds revealed [Co(terpy)2]2+ layers pillared by octacyanidometallate anions and completed with water molecules between them. Magnetic studies confirmed that the (de)solvated phases of both complexes exhibit partial SCO on the cobalt(II) centers: CoII−LS (SCo(II)‐LS=1/2)↔CoII−HS (SCo(II)‐HS=3/2). Moreover, handling dehydrated samples in a high‐humidity environment leads to partial recovery of previous magnetic properties via humidity‐induced SCO for Co2Mo: CoII−HS→CoII−LS, and the new phenomenon of isothermal humidity‐activated charge‐transfer‐induced spin transition, which we define here as HACTIST, for Co3W2: CoII−HS⋅⋅⋅WV (SCo(II)‐HS=3/2 and SW(V)=1/2)→CoIII−LS⋅⋅⋅WIV (SW(IV)=0 and SCo(III)‐LS=0). These comprehensive studies shed light on the water‐solvation‐dependent spin transitions in Co(II)‐octacyanidometallate(IV/V) complexes.
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