Magnetic properties of normal spinels with only a-a interactions

W. Roth
{"title":"Magnetic properties of normal spinels with only a-a interactions","authors":"W. Roth","doi":"10.1051/JPHYS:01964002505050700","DOIUrl":null,"url":null,"abstract":"2014 The theory of ferrimagnetism accounts for the magnetic properties of the ferrites by strong antiferromagnetic A-B interactions and weak antiferromagnetic A-A and B-B interactions. It was recently discovered that the A-A interaction in Co3O4 was much stronger than anticipated. To ascertain whether the anomalous strong interaction was uniquely a property of Co+3 in an octahedral environment, the study of the A-A interaction has been extended to CoAl2O4, FeAl2O4 and MnAl2O4. Neutron diffraction and magnetic susceptibility measurements have shown that MnAl2O4, and probably CoAl2O4, develop the same antiferromagnetic structure as Co3O4 at low temperature. FeAl2O4 does not develop long range magnetic order, and the difference is attributed to competing A-B interactions due to inversion. The A-A interaction in the aluminates is an order of magnitude weaker than that observed in Co3O4. It now appears that the anomalous strong interaction in Co3O4 is due to indirect exchange coupling through the octahedral Co+3 complex. LE JOURNAL DE PHYSIQUE TOME 25, MAI 1964, Introduction. The magnetic behavior of the ferrimagnetic spinels are in general explained by the theory of Néel [1]. The dominant interaction is negative exchange between ions in the A (tetrahedral) and B (octahedral) sites. The A-A and B-B interactions are negative and weak relative to the A-B interaction. The A-A interaction in Co,O, is unexpectedly large [2]. Co,O, is a normal spinel with Co+ 2 in tetrahedral sites and Co + 3 in B sites [3]. The 3d levels are split into an upper eg doublet and a lower tz, triplet by the octahedral cubic field, and in the ground state the 3d6 electrons of Co + 3 occupy only the levels (in antiparallel pairs) and thus give no net magnetic moment. The moments on the Co + 2 order at 40 OK to form an antiferromagnetic structure in which the spins on the A sites are surrounded by four nearest A neighbors with opposite spins. For z 4 neighbors with spin S = 3/2, and a Néel temperature = 40 OK, the strength of each A-A interaction based on the molecular field approximation [4] is Further information about the A-A interaction in related spinels is needed to determine whether the A-A interaction is larger than has been anticipated, or whether the interaction in Co304 is anomalous and specifically related to the presence of Co ~3 in the octahedral sites. Since the strong A-B coupling usually dominates the magnetic interactions, it would be desirable to study systems in which only diamagnetic ions occupy B sites. This is approximately true for the aluminates of Fe+2 and Co+2. Romeijn [5] prepared CoAl.04 by heating in air, MnAl2O4 by heating in a N2-H2 atmosphere (ratio 2 : 1), and FeAIO by heating in (ratio 2:1:2). All samples were heated at 1200 °C and slowly cooled. From X-ray analysis Romeijn concluded these spinels were normal, i.e., the Al + 3 ions occupied the B sites. However, Greenwald et al. [6] found that CoA’204 and MnA1204 were partially inverse. Their samples were heated at 1 400 °C for 1-2 hours, then either quenched or slowly cooled at a rate of 1° jmin. In CoA1204, the fraction of A sites occupied by Co was 0.69 in the quenched sample and increased to 0.81 when the sample was slowly cooled. In MnÅl2Ü4, the fraction of A sites occupied by iVln was 0.71 -~0.04 and 0.66 ~ 0.04 in quenched and slowly cooled specimens, respectively. The temperature dependence of the susceptibilities of the aluminates is given by Curie-Weiss terms with negative Curie temperatures showing Article published online by EDP Sciences and available at http://dx.doi.org/10.1051/jphys:01964002505050700","PeriodicalId":54899,"journal":{"name":"Journal de Physique et le Radium","volume":"27 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"1964-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"105","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal de Physique et le Radium","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1051/JPHYS:01964002505050700","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 105

Abstract

2014 The theory of ferrimagnetism accounts for the magnetic properties of the ferrites by strong antiferromagnetic A-B interactions and weak antiferromagnetic A-A and B-B interactions. It was recently discovered that the A-A interaction in Co3O4 was much stronger than anticipated. To ascertain whether the anomalous strong interaction was uniquely a property of Co+3 in an octahedral environment, the study of the A-A interaction has been extended to CoAl2O4, FeAl2O4 and MnAl2O4. Neutron diffraction and magnetic susceptibility measurements have shown that MnAl2O4, and probably CoAl2O4, develop the same antiferromagnetic structure as Co3O4 at low temperature. FeAl2O4 does not develop long range magnetic order, and the difference is attributed to competing A-B interactions due to inversion. The A-A interaction in the aluminates is an order of magnitude weaker than that observed in Co3O4. It now appears that the anomalous strong interaction in Co3O4 is due to indirect exchange coupling through the octahedral Co+3 complex. LE JOURNAL DE PHYSIQUE TOME 25, MAI 1964, Introduction. The magnetic behavior of the ferrimagnetic spinels are in general explained by the theory of Néel [1]. The dominant interaction is negative exchange between ions in the A (tetrahedral) and B (octahedral) sites. The A-A and B-B interactions are negative and weak relative to the A-B interaction. The A-A interaction in Co,O, is unexpectedly large [2]. Co,O, is a normal spinel with Co+ 2 in tetrahedral sites and Co + 3 in B sites [3]. The 3d levels are split into an upper eg doublet and a lower tz, triplet by the octahedral cubic field, and in the ground state the 3d6 electrons of Co + 3 occupy only the levels (in antiparallel pairs) and thus give no net magnetic moment. The moments on the Co + 2 order at 40 OK to form an antiferromagnetic structure in which the spins on the A sites are surrounded by four nearest A neighbors with opposite spins. For z 4 neighbors with spin S = 3/2, and a Néel temperature = 40 OK, the strength of each A-A interaction based on the molecular field approximation [4] is Further information about the A-A interaction in related spinels is needed to determine whether the A-A interaction is larger than has been anticipated, or whether the interaction in Co304 is anomalous and specifically related to the presence of Co ~3 in the octahedral sites. Since the strong A-B coupling usually dominates the magnetic interactions, it would be desirable to study systems in which only diamagnetic ions occupy B sites. This is approximately true for the aluminates of Fe+2 and Co+2. Romeijn [5] prepared CoAl.04 by heating in air, MnAl2O4 by heating in a N2-H2 atmosphere (ratio 2 : 1), and FeAIO by heating in (ratio 2:1:2). All samples were heated at 1200 °C and slowly cooled. From X-ray analysis Romeijn concluded these spinels were normal, i.e., the Al + 3 ions occupied the B sites. However, Greenwald et al. [6] found that CoA’204 and MnA1204 were partially inverse. Their samples were heated at 1 400 °C for 1-2 hours, then either quenched or slowly cooled at a rate of 1° jmin. In CoA1204, the fraction of A sites occupied by Co was 0.69 in the quenched sample and increased to 0.81 when the sample was slowly cooled. In MnÅl2Ü4, the fraction of A sites occupied by iVln was 0.71 -~0.04 and 0.66 ~ 0.04 in quenched and slowly cooled specimens, respectively. The temperature dependence of the susceptibilities of the aluminates is given by Curie-Weiss terms with negative Curie temperatures showing Article published online by EDP Sciences and available at http://dx.doi.org/10.1051/jphys:01964002505050700
正常尖晶石只有a-a相互作用时的磁性
2014铁磁理论通过强反铁磁A-B相互作用和弱反铁磁A-A和B-B相互作用来解释铁氧体的磁性。最近发现,Co3O4中的A-A相互作用比预期的要强得多。为了确定异常强相互作用是否是Co+3在八面体环境中特有的性质,我们将a - a相互作用的研究扩展到CoAl2O4、FeAl2O4和MnAl2O4。中子衍射和磁化率测量表明,MnAl2O4,可能还有CoAl2O4,在低温下呈现出与Co3O4相同的反铁磁结构。FeAl2O4不形成长程磁序,其差异是由于反转引起的A-B相互作用的竞争。铝酸盐中的A-A相互作用比在Co3O4中观察到的弱一个数量级。现在看来,Co3O4中的异常强相互作用是由于通过八面体Co+3配合物的间接交换耦合引起的。《体质杂志》第25卷,1964年5月,导言。铁磁性尖晶石的磁性行为一般用nsamel理论来解释[1]。主要的相互作用是离子在A(四面体)和B(八面体)位点之间的负交换。A-A和B-B相互作用相对于A-B相互作用是负的和弱的。Co,O中的A-A相互作用出乎意料地大[2]。Co,O是一种正常尖晶石,在四面体位上有Co+ 2,在B位上有Co+ 3[3]。在八面体立方场作用下,三维能级被分成上eg重态和下tz三重态,在基态下,Co + 3的3d6电子只占据能级(以反平行对的形式),因此没有净磁矩。在40ok时Co + 2上的矩形成一个反铁磁结构,其中A位上的自旋被四个自旋相反的最近的A邻居所包围。对于自旋为S = 3/2、nsamel温度= 40 OK的z4邻体,基于分子场近似的每个a - a相互作用强度[4]需要进一步了解相关尖晶石中的a - a相互作用是否比预期的要大,或者Co304中的相互作用是否异常,是否与八面体位点上Co ~3的存在有关。由于强A-B耦合通常主导磁相互作用,因此研究只有抗磁性离子占据B位的系统是可取的。这对于Fe+2和Co+2的铝酸盐近似成立。Romeijn[5]制备煤。04在空气中加热,MnAl2O4在N2-H2气氛中加热(比例为2:1),FeAIO在(比例为2:1)中加热。所有样品在1200℃下加热并缓慢冷却。通过x射线分析,Romeijn认为这些尖晶石是正常的,即Al + 3离子占据了B位。然而,Greenwald等[6]发现CoA ' 204与MnA1204部分成反比。样品在1 400°C下加热1-2小时,然后以1°jmin的速度淬火或缓慢冷却。在CoA1204中,Co在淬火样品中占据的A位分数为0.69,在缓慢冷却样品时增加到0.81。在MnÅl2Ü4中,iVln在淬火和慢冷试样中占据的A位点比例分别为0.71 ~0.04和0.66 ~0.04。铝酸盐磁化率的温度依赖性由居里-魏斯术语给出,居里温度为负,该文章由EDP科学在线发表,可在http://dx.doi.org/10.1051/jphys:01964002505050700上获得
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