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Thermoelectric performance of(AgBiTe_(2))_(1-x)(SnTe)_(x) with stable cubic enabled by enhanced configurational entropy

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Rare Metals 2022年第12期41卷 4149-4155页

作者： Ting Zhao Li-Ze Yang Yun Zhou Hui-Jun Liao Zheng-Yong Huang Jian Li Xu Lu Xiao-Yuan Zhou Chongqing Key Laboratory of Soft Condensed Matter Physics and Smart Materials College of PhysicsChongqing UniversityChongqing 401331China College of Ocean Science and Engineering Shanghai Maritime UniversityShanghai 201306China State Key Laboratory of Power Transmission Equipment&System Security and New Technology Chongqing UniversityChongqing 400030China Analytical and Testing Center Chongqing UniversityChongqing 401331China

ABX_(2)(A=Ag,Na,Cu;B=Sb,Bi;X=S,Se,Te)(GroupsⅠ-Ⅴ-Ⅵ_(2))compounds,which are all characterized by the ultralow lattice thermal conductivity because of their strong lattice anharmonicity caused by lone-pair electrons,have aroused wide attention in thermoelectric *** practical application of thermoelectric devices usually requires both the compatible n-type and p-type materials ***,most ofⅠ-Ⅴ-Ⅵ_(2)compounds are intrinsic p-type semiconductors,lacking their n-type counterparts for ***,in this work,we increase the configuration entropy of AgBiTe_(2)by alloying SnTe,in order to stabilize the cubic phase at room *** further optimization of thermal and electrical performance,the thermoelectric performance could be improved simultaneously in both n-and p-type(AgBiTe_(2))_(1-x)(SnTe)_(x)(x=0.3,0.4)solid ***,p-type compound with the nominal composition of(AgBi_(0.99)Cd_(0.01)Te_(2))_(0.6)(SnTe)_(0.4)and n-type of(AgBiTe_(2))_(0.7)(SnTe)_(0.3)~Br 6%show the maximum zT of~0.33 and~0.21,at 381 and 423 K,respectively.

关键词： configurational entropy Cubic phase Solid solutions Thermoelectrics

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configurational entropy-induced phase transition in spinel LiMn_(2)O_(4)

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Chinese Physics B 2022年第9期31卷 592-596页

作者： Wei Hu Wen-Wei Luo Mu-Sheng Wu Bo Xu Chu-Ying Ouyang Department of Physics Laboratory of Computational Materials PhysicsJiangxi Normal UniversityNanchang 330022China School of Ecology and Environment Yuzhang Normal UniversityNanchang 330103China

The spinel-type LiMn_(2)O_(4) is a promising candidate as cathode material for rechargeable Li-ion batteries due to its good thermal stability and ***,it is observed that in this compound there occur the structural phase transitions from cubic(Fd3m)to tetragonal(I4_(1)/amd)phase at slightly below room *** understand the phase transition mechanism,we compare the Gibbs free energy between cubic phase and tetragonal phase by including the configurational *** results show that the configurational entropy contributes substantially to the stability of the cubic phase at room temperature due to the disordered Mn^(3+)/Mn^(4+)distribution as well as the orientation of the Jahn-Teller elongation of the Mn^(3+)O_(6) octahedron in the the spinel ***,the phase transition temperature is predicted to be 267.8 K,which is comparable to the experimentally observed *** results serve as a good complement to the experimental study,and are beneficial to the improving of the electrochemical performance of LiMn_(2)O_(4) cathode.

关键词： configurational entropy LiMn_(2)O_(4) phase transition Jahn-Teller distortion

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A Novel Approach to Probability

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Advances in Pure Mathematics 2016年第4期6卷 201-211页

作者： Oded Kafri Kafri Nihul Ltd. Tel Aviv Israel

When P indistinguishable balls are randomly distributed among L distinguishable boxes, and considering the dense system , our natural intuition tells us that the box with the average number of balls P/L has the highest probability and that none of boxes are empty;however in reality, the probability of the empty box is always the highest. This fact is with contradistinction to sparse system (i.e. energy distribution in gas) in which the average value has the highest probability. Here we show that when we postulate the requirement that all possible configurations of balls in the boxes have equal probabilities, a realistic “long tail” distribution is obtained. This formalism when applied for sparse systems converges to distributions in which the average is preferred. We calculate some of the distributions resulted from this postulate and obtain most of the known distributions in nature, namely: Zipf’s law, Benford’s law, particles energy distributions, and more. Further generalization of this novel approach yields not only much better predictions for elections, polls, market share distribution among competing companies and so forth, but also a compelling probabilistic explanation for Planck’s famous empirical finding that the energy of a photon is hv.

关键词： Probability Statistics Benford’s Law Zipf’s Law Planck’s Law configurational entropy

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