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arXiv 2408.06641cond-mat.mtrl-sci
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Ge、Ga和Al掺杂对Cr$_3$Si力学和电子性质的影响:来自第一性原理计算的见解

Impact of Ge, Ga, and Al doping on the mechanical and electronic properties of Cr$_3$Si: insights from first-principles calculations

Siavash Karbasizadeh, Mohammad Amirabbasi

AI总结:

本研究基于第一性原理DFT计算,系统揭示了Ge、Ga和Al掺杂对Cr$_3$Si力学与电子性质的影响,发现掺杂会降低材料刚度与热导率,其中Ge掺杂能保持各向同性,是平衡力学与热性能的最佳掺杂剂。

摘要:

本研究利用第一性原理密度泛函理论(DFT),系统研究了Ge、Ga和Al掺杂对立方Cr$_3$Si力学和电子性质的影响。随着掺杂浓度从12.5%增加到50%,晶格常数从未掺杂Cr$_3$Si的4.50 Å分别增加至4.51-4.53 Å(Ge)、4.52-4.54 Å(Ga)和4.51-4.54 Å(Al)。所有构型的负形成焓证实了热力学稳定性,其值从未掺杂Cr$_3$Si的-0.35 eV/atom变为50%掺杂下的-0.33 eV/atom(Ge)、-0.31 eV/atom(Al)和-0.25 eV/atom(Ga)。随着掺杂增加,力学性能显著下降:对于Ge掺杂,体变模量从未掺杂Cr$_3$Si的248.7 GPa降至241 GPa(12.5%)、238 GPa(25%)、235 GPa(37.5%)和231 GPa(50%),Ga(50%时为230 GPa)和Al(50%时为232 GPa)呈现类似趋势。剪切模量和杨氏模量呈现类似下降,在50%掺杂下,剪切模量从158.9 GPa分别降至147 GPa(Ge)、145 GPa(Ga)和147 GPa(Al)。Al和Ga掺杂显著增加了弹性各向异性,而Ge保持了相对各向同性的行为。所有掺杂剂的波速和德拜温度均降低,在50%掺杂下,德拜温度从未掺杂Cr$_3$Si的720 K降至700 K(Ge)、685 K(Ga)和690 K(Al),反映出晶格变软和热导率下降。尽管Al和Ga掺杂引入了更高的各向异性并降低了力学刚度,但Ge掺杂保持了各向同性的力学行为,使其成为需要平衡力学和热性能的应用中最合适的掺杂剂。这些发现为定制高性能应用的Cr$_3$Si基合金提供了关键见解,突出了刚度、各向异性和热性能之间的权衡。

英文摘要:

This study systematically investigates the effects of Ge, Ga, and Al doping on the mechanical and electronic properties of cubic Cr$_3$Si using first-principles density functional theory (DFT). Doping increases lattice constants from 4.50 Å for undoped Cr$_3$Si to 4.51-4.53 Å (Ge), 4.52-4.54 Å (Ga), and 4.51-4.54 Å (Al) as doping concentrations increase from 12.5 $\%$ to 50 $\%$. Negative formation enthalpies across all configurations confirm thermodynamic stability, with values ranging from -0.35 eV/atom for undoped Cr$_3$Si to -0.33 eV/atom (Ge), -0.31 eV/atom (Al), and -0.25 eV/atom (Ga) at 50 $\%$ doping. Mechanical properties exhibit significant degradation with increased doping: bulk modulus decreases from 248.7 GPa for undoped Cr$_3$Si to 241 GPa (12.5 $\%$), 238 GPa (25 $\%$), 235 GPa (37.5 $\%$), and 231 GPa (50 $\%$) for Ge doping, with similar trends for Ga (230 GPa at 50 $\%$) and Al (232 GPa at 50 $\%$). Shear modulus and Young's modulus follow similar reductions, with shear modulus going from 158.9 GPa to 147 GPa (Ge), 145 GPa (Ga), and 147 GPa (Al) at 50 $\%$ doping. Elastic anisotropy increases notably with Al and Ga doping, while Ge maintains a relatively isotropic behavior. The wave velocities and Debye temperatures decrease for all dopants, with Debye temperature dropping from 720 K for undoped Cr$_3$Si to 700 K (Ge), 685 K (Ga), and 690 K (Al) at 50 $\%$ doping, reflecting a softer lattice and diminished thermal conductivity. While Al and Ga doping introduce higher anisotropy and reduce mechanical rigidity, Ge doping preserves isotropic mechanical behavior, making it the most suitable dopant for applications requiring balanced mechanical and thermal properties. These findings offer critical insights into tailoring Cr$_3$Si-based alloys for high-performance applications, highlighting trade-offs between stiffness, anisotropy, and thermal performance.

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