Shared representation

Culturally bound -culturally shared Social representations can differ across and within cultures but attention to shared representations amongst cultures and group can exist and should be studied. 

Boranes are typical species with electron-deficient bonds, where a chemical bond has more centers than electrons. The smallest molecule showing this property is diborane. Each of the two B-H-B bonds (shown in Figure 2-60a) contains only two electrons, while the molecular orbital extends over three atoms. A correct representation has to represent the delocalization of the two electrons over three atom centers as shown in Figure 2-60b. Figure 2-60c shows another type of electron-deficient bond. In boron cage compounds, boron-boron bonds share their electron pair with the unoccupied atom orbital of a third boron atom [86]. These types of bonds cannot be accommodated in a single VB model of two-electron/ two-centered bonds. 

Figure 16.13 Structures of some tetrahalides of Se and Te (a) Sep4 (gas), (b) crystalline Sep4, and schematic representation of the association of the pseudo-tbp molecules (see text), (c) coordination environment of Te in crystalline Tep4 and schematic representation of the polymerized square pyramidal units, (d) the tetrameric unit in crystalline (TeCl4)4, and (e) two representations of the tetrameric molecules in Te4li6 showing the shared edges of the Telg octahedral subunits.

Figure 23.8 Trinuclear. M-.M bonded species of Mo" and W. (a) (b) and (c) are alternative representations of the -MjOij unit (a) emphasizes its relationship to the edge-sharing octahedra of the Mj group in polymetallate ions (b) shows the (rrj-O) (rrr-Olj bridges and M-M bonds of its MiOs incomplete cubane" core and (c) emphasizes its triangular centre by viewing from the unoccupied comer of the cuboid (d) and (e) offer the same perspective as (c) but of (Mj02(02CR)6(H20)3] and (Mjirrj-X)(rti-OR)(OR)9] stmetures respectively.

Figure 16-3D shows the simplified representation of the interaction of two helium atoms. This time each helium atom is crosshatched before the two atoms approach. This is to indicate there are already two electrons in the Is orbital. Our rule of orbital occupancy tells us that the Is orbital can contain only two electrons. Consequently, when the second helium atom approaches, its valence orbitals cannot overlap significantly. The helium atom valence electrons fill its valence orbitals, preventing it from approaching a second atom close enough to share electrons. The helium atom forms no chemical bonds. ... 

We propose, then, that chemical bonds can form if valence electrons can be shared by two atoms using partially filled orbitals. We need a shorthand notation which aids in the use of this rule. Such a shorthand notation is called a representation of the bonding. 

Remember the spatial arrangement of the p or- atom has partially filled valence orbitals. Elec-bitals Each one protrudes along one of the tron sharing can occur, placing electrons close three cartesian axes (as shown in Figure 15-9). to two nuclei simultaneously. Hence a stable If the electrons have the orbital occupancy of bond can occur. This is shown in representations 20), then two electrons occupy the p orbital (22) and (23). 

Now we have the compound H 0. By either representation, the bonding capacity of oxygen is expended when two bonds are formed. Oxygen is said to be divalent, and the compound H 0 is extremely stable. Each of the atoms in H 0 has filled its valence orbitals by electron sharing. 

The representation (56) shows two pairs of electrons shared. Each oxygen atom finds itself near eight electrons. There is, on the one hand, a stable molecule, because all of the bonding capacity of each oxygen atom is in use. On the other hand, this special aspect of the bonding of oxygen undoubtedly contributes to the reactivity of oxygen. 

These representations are intended to mean that each C-C bond comprises three electrons. This in itself seems not such a difficult concept, but since students are usually indoctrinated to the idea that a covalent bond is two shared electrons, the notion of IV2 bonds between each pair of C atoms may be bewildering for some. 

This is caused by the fact that the Si - is tied up in the form of silica tetrahedra where some of the oxygen atoms are shared within the structure and are not free to move. A representation of this is given as follows ... 

Covalent bonds form between atoms with similar electronegativities. In these reactions, electrons do not migrate from one atom to another as they do in ionic bonds they are shared by the atoms in the molecule. A good way to visualize this was proposed by Gilbert Lewis, a chemist at the University of California, Berkeley. His representations of molecular bonds are called Lewis dot structures. These structures use dots to denote the valence electrons of an element or molecule. 

Figure 1. Representation of the crystal structure of CsMgBr3 (a) and a selective cut along the z axis showing five units of face-sharing (MgBr6)4- where the Eu2+ dopant is placed into the position of the central Mg2 ion (h).

The model is derived to take into consideration the possibility of multiple storage vessels which are dedicated to the storage of certain wastewater. The formulation shares some of the characteristics of the multiple contaminant model presented in the previous chapter. This is due to the fact that both formulations have roots in the scheduling methodology derived by Majozi and Zhu (2001). Furthermore, the uneven discretization of the time horizon is used as the time representation. 

Electron dot formulas are useful for deducing the structures of organic molecules, but it is more convenient to use simpler representations—structural or graphic formulas—in which a line is used to denote a shared pair of electrons. Because each pair of electrons shared between two atoms is equivalent to a total bond order of 1, each shared pair can be represented by a line between the symbols of the elements. Unshared electrons on the atoms are usually not shown in this kind of representation. The resulting representations of molecules are called graphic formulas or structural formulas. The structural formulas for the compounds (a) to (e) described in Example 21.1 may be written as follows ... 

The sodium and calcium salts of EDTA (ethylenediaminetetraacetic acid, Fig. 9.3.1.) are common sequestrants in food products. A three-dimensional representation of EDTA is shown in color Fig. 9.3.2. The EDTA ion is an especially effective sequestrant, forming up to six coordinate covalent bonds with a metal ion. These bonds are so named because a lone pair of electrons on a single atom serves as the source of the shared electrons in the bond between the metal ion and EDTA. The two nitrogen atoms in the amino groups and the oxygen... 

Figure 3.1. Schematic representation of dimensional reduction for a framework of corner-sharing MX6 octahedra. The M and X atoms are represented by black and white spheres, respectively. In a) though d), reaction with AbX incorporates additional X atoms into the M—X framework, progressively reducing the connectedness and effective dimensionality of the M—X framework. In d), after incorporating n units of AbX (n > 2), the structure is reduced to isolated oligomeric or monomeric components. For clarity, the A atoms are not shown in the figure. [Adapted with permission from [Ref. 16]. Copyright 2001 American Chemical Society.]...

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