The Debye theory of solid-state heat capacities

2021 ◽  
pp. 295-309
Author(s):  
Geoffrey Brooker

“The Debye theory of solid-state heat capacities” gives a careful account of the Debye cut-off. We start by looking at a monatomic linear chain, leading to degrees of freedom and the equipartition of energy at the high-temperature (classical) limit. Reasonable approximations lead more naturally to the Born–von Karman model than to Debye, but Debye follows via a further reasonable step.

1991 ◽  
Vol 05 (11) ◽  
pp. 741-746
Author(s):  
M. HAGIWARA ◽  
K. KATSUMATA

We have studied the typical spin one linear chain Heisenberg antiferromagnet, Ni ( C 2 H 8 N 2)2 NO 2( ClO 4) containing a small amount of Cu2+ by electron spin resonance (ESR) technique. The ESR results are successfully explained by the model that the valence bonds in the valence bond solid state are broken at the Cu 2+ sites resulting in fractional spin degrees of freedom at the Ni 2+ sites neighboring the Cu 2+.


2021 ◽  
Vol 31 (3) ◽  
pp. 415-418
Author(s):  
Vladimir Yu. Osipov ◽  
Fedor M. Shakhov ◽  
Nikolai M. Romanov ◽  
Kazuyuki Takai

2021 ◽  
Vol 505 ◽  
pp. 230083
Author(s):  
Yuxuan Wu ◽  
Sheng Wang ◽  
Min Sang ◽  
Quan Shu ◽  
Junshuo Zhang ◽  
...  
Keyword(s):  

Nanomaterials ◽  
2021 ◽  
Vol 11 (3) ◽  
pp. 736
Author(s):  
Man Li ◽  
Tao Chen ◽  
Seunghyun Song ◽  
Yang Li ◽  
Joonho Bae

The challenge of safety problems in lithium batteries caused by conventional electrolytes at high temperatures is addressed in this study. A novel solid electrolyte (HKUST-1@IL-Li) was fabricated by immobilizing ionic liquid ([EMIM][TFSI]) in the nanopores of a HKUST-1 metal–organic framework. 3D angstrom-level ionic channels of the metal–organic framework (MOF) host were used to restrict electrolyte anions and acted as “highways” for fast Li+ transport. In addition, lower interfacial resistance between HKUST-1@IL-Li and electrodes was achieved by a wetted contact through open tunnels at the atomic scale. Excellent high thermal stability up to 300 °C and electrochemical properties are observed, including ionic conductivities and Li+ transference numbers of 0.68 × 10-4 S·cm-1 and 0.46, respectively, at 25 °C, and 6.85 × 10-4 S·cm-1 and 0.68, respectively, at 100 °C. A stable Li metal plating/stripping process was observed at 100 °C, suggesting an effectively suppressed growth of Li dendrites. The as-fabricated LiFePO4/HKUST-1@IL-Li/Li solid-state battery exhibits remarkable performance at high temperature with an initial discharge capacity of 144 mAh g-1 at 0.5 C and a high capacity retention of 92% after 100 cycles. Thus, the solid electrolyte in this study demonstrates promising applicability in lithium metal batteries with high performance under extreme thermal environmental conditions.


2018 ◽  
Vol 73 (6) ◽  
pp. 555-558 ◽  
Author(s):  
Zhi-Qing Peng ◽  
Rong Chen ◽  
Wen-Lin Feng

AbstractNovel luminescent materials Ca3-xSi2O7: xPr3+ were successfully prepared by the high-temperature solid-state method. The crystal structure, morphology, and optical spectrum were characterised by X-ray diffraction (XRD), scanning electron microscopy (SEM), and spectroscopy, respectively. The XRD patterns of the samples indicate that the crystal structure is monoclinic symmetry. The SEM shows that the selected sample has good crystallinity although its appearance is irregular and scalelike. The peak of the excitation spectrum of the sample is located at around 449 nm, corresponding to 3H4→3P2 transition of Pr3+. The peak of the emission spectrum of the sample is situated at around 612 nm which is attributed to 3P0→3H6 transition of Pr3+, and the colour is orange-red. The optimum concentration for Pr3+ replaced Ca2+ sites in Ca3Si2O7: Pr3+ is 0.75 mol%. The lifetime (8.48 μs) of a typical sample (Ca2.9925Pr0.0075)Si2O7 is obtained. It reveals that orange-red phosphors Ca3-xSi2O7: xPr3+ possess remarkable optical properties and can be used in white light emitting devices.


2017 ◽  
Vol 134 (20) ◽  
Author(s):  
Qian Yang ◽  
Haitao Yu ◽  
Lixian Song ◽  
Yajie Lei ◽  
Fengshun Zhang ◽  
...  

RSC Advances ◽  
2016 ◽  
Vol 6 (46) ◽  
pp. 39762-39773 ◽  
Author(s):  
Yongfu Guo ◽  
Juan Deng ◽  
Junyan Zhu ◽  
Chao Zhou ◽  
Caiyun Zhou ◽  
...  

In order to improve the BET value and adsorption capacity of graphene oxide (GO), activated GO (GOKOH) was successfully prepared by high temperature solid state activation with KOH, and was used to remove the anionic dye orange IV from water.


2012 ◽  
Author(s):  
Marc Eichhorn ◽  
Stefano Bigotta ◽  
Thierry Ibach

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