• Title/Summary/Keyword: isomorphic substitution

Search Result 4, Processing Time 0.016 seconds

BRATTELI DIAGRAM ISOMORPHIC TO CHACON HOMEOMORPHISM

  • Park, Seung-Seol
    • Bulletin of the Korean Mathematical Society
    • /
    • v.37 no.3
    • /
    • pp.519-536
    • /
    • 2000
  • We construct a stationary, properly ordered Bratteli diagram B=(V,E,$\geq$) so that its Vershik map is isomorphic to Chacon's homeomorphism. It is the simplest stationary, properly ordered Bratteli diagram isomorphic to (Xc, Tc). We also find a primitive and proper substitution of Chacon's transformation.

  • PDF

A Study on the Leaching and Recovery of Lithium by Reaction between Ferric Chloride Etching Solution and Waste Lithium Iron Phosphate Cathode Powder (폐리튬인산철 양극재 분말과 염화철 에칭액과의 반응에 의한 리튬의 침출 및 회수에 대한 연구)

  • Hee-Seon Kim;Dae-Weon Kim;Byung-Man Chae;Sang-Woo Lee
    • Resources Recycling
    • /
    • v.32 no.3
    • /
    • pp.9-17
    • /
    • 2023
  • Efforts are currently underway to develop a method for efficiently recovering lithium from the cathode material of waste lithium iron phosphate batteries (LFP). The successful application of lithium battery recycling can address the regional ubiquity and price volatility of lithium resources, while also mitigating the environmental impact associated with both waste battery material and lithium production processes. The isomorphic substitution leaching process was used to recover lithium from spent lithium iron phosphate batteries. Lithium was leached by the isomorphic substitution of Fe2+ in LFP using a relatively inexpensive ferric chloride etching solution as a leaching agent. In the study, the leaching rate of lithium was compared using the ferric chloride etching solution at various multiples of the LFP molar ratio: 0.7, 1.0, 1.3, and 1.6 times. The highest lithium leaching rate was shown at about 98% when using 1.3 times the LFP molar ratio. Subsequently, to eliminate Fe, the leachate was treated with NaOH. The Fe-free solution was then used to synthesize lithium carbonate, and the harvested powder was characterized and validated. The surface shape and crystal phase were analyzed using SEM and XRD analysis, and impurities and purity were confirmed using ICP analysis.

Monetary Policy in Open versus Closed Economies in the Presence of Distortions: A Simple Transformation and Its Applications (왜곡이 있는 경우 개방경제와 폐쇄경제의 통화정책 비교: 간단한 변환과 적용)

  • Jung, Kyu-Chul
    • KDI Journal of Economic Policy
    • /
    • v.36 no.1
    • /
    • pp.81-106
    • /
    • 2014
  • This paper compares the monetary policy problem in open economies with that in closed economies. It is found that the monetary policy problems in open and closed economies are isomorphic even in the presence of distortions in a steady state and hence the optimal monetary policies have similar properties. On the other hand, the monetary policy maker in open economies has a distorted incentive to manipulate the terms-of-trade. Because of the additional distortion in open economies, there exist gains from international monetary policy cooperation even in the case of a unit intertemporal elasticity of substitution, in contrast to the literature that abstracts from distortions in a steady state. Also, it is found that in the presence of distortions inflation bias is decreasing in openness, which is line with empirical evidence. In addition, this paper presents a simple transformation so that methods in closed-economy models are easily applicable to open-economy models.

  • PDF

Chemical Treatment of Low-level Radioactive Liquid Wastes(II) (The Determination of Cation Exchange Capacity on various Clay Minerals)

  • Lee, Sang-Hoon;Sung, Nak-Jun
    • Nuclear Engineering and Technology
    • /
    • v.9 no.2
    • /
    • pp.75-81
    • /
    • 1977
  • This experiment has been carried out to determine the pH dependent cation exchange capacity concerning the sorption phenomenon of long-lived radionuclides contained in low-level liquid radioactive waste on various clay minerals. The pH dependent cation exchange capacity determined by Sawhney's method are used to the analysis of sorption phenomenon. About 70 percent of the total cation exchange capacity is contributed by the pH dependent CEC due to the negative charge originated naturally in clays in case of clinoptilolite, vermiculite and sodalite. It is sugested in this test that the high neutral salt CEC, that is, highly charged clays would show good fixation yield. The removal of radionuclides at the pH range more than pH 9 is considered the hydroxide precipitation of metal ion rather than the cation exchange. The Na-clay prepared by the method of successive isomorphic substitution with electrolyte showed a considerable improvement in removal efficiency for the decontamination.

  • PDF