基于第一性原理,利用密度泛函理论(DFT)在广义梯度近似(GGA)下的从头计算平面波超软赝势方法,从超硬材料BeCN2的结构(I-42d)出发,设计了B-C-N三元化合物,计算了弹性常数、声子谱、态密度、理论维氏硬度和高压下的物性变化.结果表明:四方结构B-C-N三元化合物有B2CN、BC2N和BCN2三种不同晶胞,其中BC2N力学稳定性和动力学稳定性较好.BC2N体积模量高达338 GPa,晶体结构中存在金属键,具有很强的共价键.BC2N的维氏硬度为49.0 GPa,属于超硬材料.压缩率低于超硬材料cg-CN,杨氏模量、体积模量、剪切模量和泊松系数均随外压的增大而增大,反映出结构的刚性、抗横向、切向及纵向形变能力增强.
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