Structural prediction for square-planar [M(dmf)4] type and octahedral cis/trans-[MX2(dmf)4] type complexes on the basis of group theory method

2020 ◽  
pp. 129605
Author(s):  
Hiroshi Sakiyama
Open Physics ◽  
2007 ◽  
Vol 5 (2) ◽  
Author(s):  
Piotr Potera ◽  
Ireneusz Stefaniuk ◽  
Marian Kuźma

AbstractPentacene have recently become the subject of intense studies due to their physical properties which follow from the states of their outer-shell electrons that are able to take part in molecule bonding. The symmetry of these molecules provides the classification of quantum states according to the group theory method. In this paper, we apply a molecular state-space factorization scheme for the classification of pentacene molecules based on the structure of their electron states.


1997 ◽  
Vol 25 (4) ◽  
pp. 243-262 ◽  
Author(s):  
E. R. Tuttle ◽  
S. W. J. Welch

One of the most powerful methods for generating similarity solutions to problems in fluid mechanics and heat transfer is the group-theory method; it is also one of the easiest to apply. However, because of the apparent difficulty and obscurity of the underlying mathematics it is rarely mentioned in anything but advanced graduate seminars in these areas. This is unfortunate, as it is actually one of the most physically based and computationally simple of the methods available for obtaining such solutions. In this paper we give a presentation of this method which will make these group-theoretic techniques accessible and useful to advanced undergraduates and beginning graduate students. Several examples, both standard and unusual, are also given.


Author(s):  
Maryvonne Hervieu

Four years after the discovery of superconductivity at high temperature in the Ba-La-Cu-O system, more than thirty new compounds have been synthesized, which can be classified in six series of copper oxides: La2CuO4 - type oxides, bismuth cuprates, YBa2Cu3O7 family, thallium cuprates, lead cuprates and Nd2CuO4 - type oxides. Despite their quite different specific natures, close relationships allow their structures to be simply described through a single mechanism. The fifth first families can indeed be described as intergrowths of multiple oxygen deficient perovskite slabs with multiple rock salt-type slabs, according to the representation [ACuO3-x]m [AO]n.The n and m values are integer in the parent structures, n varying from 0 to 3 and m from 1 to 4; every member of this large family can thus be symbolized by [m,n]. The oxygen deficient character of the perovskite slabs involves the existence or the co-existence of several types of copper environment: octahedral, pyramidal and square planar.Both mechanisms, oxygen deficiency and intergrowth, are well known to give rise easily to nonstoichiometry phenomena. Numerous and various phenomena have actually been characterized in these cuprates, strongly depending on the thermal history of the samples.


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