Enhanced Interface Phonon Thermal Conductance via Boron Addition in Copper/Diamond Composites

W. Xiao, Boyu Xue, Xue Wang, Zhongnan Xie, Lu Sun, Jianwei Wang, Hui Yang, H. Guo, Ligen Wang
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Abstract

Copper/diamond composites with various diamond contents are a prototype of thermal management materials and are widely used in many industrial fields due to their excellent thermo-physical properties. It is well known that the carriers of heat in diamond and copper are phonons and electrons, respectively. Scattering and phonon-electron interactions at the interface play a pivotal role on determining the interface thermal conductance. By using this model material the mechanisms of the interface thermal conductance are investigated by experiments and first-principles calculations. The boron addition can promote the thermal conductivity from 261 W/(mK) to 647 W/(mK) or increase the thermal conductivity by 2.5 times for the copper/diamond composite with 60% diamond. The increase of thermal conductivity may be explained by the formation of B4C and Cu-B solid solution at the interface. First-principles calculations show that the interface thermal resistance is mainly attributed to the phonon frequency mismatch and electronic transfer. The B4C phase formed at the interface assists the phonon conductance because the phonon spectrum of the B4C phase spreads across the range of Cu and diamond phonon spectra. The calculated results also show that boron can diffuse toward the interface region with an energy barrier of 0.87 eV and are energetically favorable to form the B4C phase. The present study provides valuable insight into the understanding of atomic mechanisms of thermal conductance at interfaces and a basis for exploring practical applications of the copper/diamond composites.
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硼对铜/金刚石复合材料界面声子热导的影响
含不同金刚石含量的铜/金刚石复合材料是热管理材料的原型,由于其优异的热物理性能而广泛应用于许多工业领域。众所周知,金刚石和铜中的热载体分别是声子和电子。界面上的散射和声子-电子相互作用是决定界面导热系数的关键因素。利用该模型材料,通过实验和第一性原理计算研究了界面热导的机理。硼的加入可使含60%金刚石的铜/金刚石复合材料的导热系数从261 W/(mK)提高到647 W/(mK),导热系数提高2.5倍。热导率增加的原因可能是在界面处形成了B4C和Cu-B固溶体。第一性原理计算表明,界面热阻主要由声子频率失配和电子转移引起。在界面处形成的B4C相有助于声子电导,因为B4C相的声子谱扩展在Cu和金刚石声子谱范围内。计算结果还表明,硼能以0.87 eV的能垒向界面区扩散,有利于形成B4C相。本研究为理解界面热导的原子机制提供了有价值的见解,并为探索铜/金刚石复合材料的实际应用奠定了基础。
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