Podloucky R, Redinger J
Institute of Physical Chemistry, University of Vienna, Sensengasse 8, A-1090 Vienna, Austria.
J Phys Condens Matter. 2019 Feb 6;31(5):054001. doi: 10.1088/1361-648X/aaf2db. Epub 2018 Nov 22.
Density functional theory (DFT) calculations for deriving enthalpies of formation [Formula: see text] H for ferromagnetic MnX (X [Formula: see text] P, As, Sb, Bi) compounds were made for the two competing structures, hexagonal [Formula: see text] and orthorhombic [Formula: see text]. Standard calculations were performed by using pseudopotentials with the generalized-gradient-approximation (PBE) as exchange-correlation functional. Enhanced exchange-correlation interactions were included by making use of a so-called DFT[Formula: see text]U approach which requires [Formula: see text] as a parameter. Application of PBE potentials for all compounds and elementary phases (all-PBE) resulted in negative values of [Formula: see text] H for MnP and MnAs in both structures whereby the result for MnP [Formula: see text] agrees very well with experiment. For MnSb and MnBi the all-PBE calculation gives a positive nonbonding [Formula: see text] H disagreeing with experiment. To overcome this discrepancy for MnSb and MnBi a DFT[Formula: see text]U ansatz was employed for all compounds and elemental Mn. The values for [Formula: see text] ranging between 0.7 for MnBi and 1.4 eV for MnAs were determined by fitting the DFT results to measured data of [Formula: see text] H. As a reference for pure Mn the [Formula: see text]-Mn phase was taken with [Formula: see text] eV by which choice the experimental volume is fitted. Atomic volumes and ionicities were derived applying Bader's concept resulting in ionicities of Mn less than [Formula: see text].
为推导铁磁性MnX(X = P、As、Sb、Bi)化合物的生成焓ΔH,对两种竞争结构——六方相(hP)和正交相(oP)进行了密度泛函理论(DFT)计算。使用广义梯度近似(PBE)赝势作为交换关联泛函进行标准计算。通过使用一种所谓的DFT + U方法纳入增强的交换关联相互作用,该方法需要U作为参数。对所有化合物和元素相应用PBE势(全PBE),得出两种结构中MnP和MnAs的ΔH均为负值,其中MnP的结果与实验非常吻合。对于MnSb和MnBi,全PBE计算得出的非键合ΔH为正值,与实验结果不符。为克服MnSb和MnBi的这一差异,对所有化合物和元素Mn采用了DFT + U假设。通过将DFT结果与ΔH的测量数据拟合,确定U的值在MnBi的0.7到MnAs的1.4 eV之间。作为纯Mn的参考,采用α - Mn相,其U = 2.9 eV,通过该选择拟合实验体积。应用巴德概念推导原子体积和离子性,得出Mn的离子性小于0.8。