Molecular orbitals tetrahedral

The Li + dication with two electrons AN + 2, N= 0) adopts a tetrahedral structure [42]. The single molecular orbital composed of four i-orbitals at the lowest energy level in the tetrahedron is lower than that in the square. The number of the in-phase relations between the. y-orbitals is greater in the tetrahedron. 

A quantitative consideration on the origin of the EFG should be based on reliable results from molecular orbital or DPT calculations, as pointed out in detail in Chap. 5. For a qualitative discussion, however, it will suffice to use the easy-to-handle one-electron approximation of the crystal field model. In this framework, it is easy to realize that in nickel(II) complexes of Oh and symmetry and in tetragonally distorted octahedral nickel(II) complexes, no valence electron contribution to the EFG should be expected (cf. Fig. 7.7 and Table 4.2). A temperature-dependent valence electron contribution is to be expected in distorted tetrahedral nickel(n) complexes for tetragonal distortion, e.g., Fzz = (4/7)e(r )3 for com-... 

The bands due to Fe(CO)4 are shown in Fig. 8. This spectrum (68) was particularly important because it showed that in the gas phase Fe(CO)4 had at least two vq—o vibrations. Although metal carbonyls have broad vC—o absorptions in the gas phase, much more overlapped than in solution or in a matrix, the presence of the two Vc—o bands of Fe(CO)4 was clear. These two bands show that in the gas phase Fe(CO)4 has a distorted non-tetrahedral structure. The frequencies of these bands were close to those of Fe(CO)4 isolated in a Ne matrix at 4 K (86). Previous matrix, isolation experiments (15) (see Section I,A) has shown that Fe(CO)4 in the matrix had a distorted C2v structure (Scheme 1) and a paramagnetic ground state. This conclusion has since been supported by both approximate (17,18) and ab initio (19) molecular orbital calculations for Fe(CO)4 with a 3B2 ground state. The observation of a distorted structure for Fe(CO)4 in the gas phase proved that the distortion of matrix-isolated Fe(CO)4 was not an artifact introduced by the solid state. 

Having seen the development of the molecular orbital diagram for AB2 and AB3 molecules, we will now consider tetrahedral molecules such as CH4, SiH4, or SiF4. In this symmetry, the valence shell s orbital on the central atom transforms as A, whereas the px, py, and pz orbitals transform as T2 (see Table 5.5). For methane, the combination of hydrogen orbitals that transforms as A1 is... 

The hydrogen group orbitals are referred to as symmetry adjusted linear combinations (SALC). Although their development will not be shown here, the molecular orbital diagrams for other tetrahedral molecules are similar. 

FIGURE 5.12 The molecular orbital diagram for a tetrahedral molecule such as CH4. 

Information about the possible structures of molybdate and its pro-tonated forms in solution has been obtained from molecular orbital calculations (62). By considering bond orders obtained from a Mulli-ken population analysis and the agreement between experimental and theoretical UV spectra it was concluded that [Mo04]2 and [HMoOt I are tetrahedral and that the neutral acid is octahedral. For the latter a somewhat distorted octahedral structure based on the formula Mo02(OH)2(H20)2 was proposed (62). The alternative structure Mo03(H20)3 was not taken into account in the calculations. 

Fig. 2.6-1. Calculated valence molecular orbitals of tetrahedral P4 (isodensity surface drawn at a cut off of 0.05 a.u.). Only one representation of the similar degenerate MOs is given.

For instance let us consider the case of the tetrahedral carbonyl cluster [Rh4(CO)i2], together with the theoretical analysis of its molecular orbitals, Figure 1. 

Navrotsky A., Geisinger K. L., McMillan R, and Gibbs G. V. (1985). The tetrahedral framework in glasses and melts Inferences from molecular orbital calculations and implications for structure, thermodynamics and physical properties. Phys. Chem. Minerals, 11 284-298. 

Note how we have resorted to another form of representation of the ethane, ethylene, and acetylene molecules here, representations that are probably familiar to you (see Section 1.1). These line drawings are simpler, much easier to draw, and clearly show how the atoms are bonded - we use a line to indicate the bonding molecular orbital. They do not show the difference between a and rr bonds, however. We also introduce here the way in which we can represent the tetrahedral array of bonds around carbon in a two-dimensional drawing. This is to use wedges and dots for bonds instead of lines. By convention, the wedge means the bond is coming towards you, out of the plane of the paper. The dotted bond means it is going away from you, behind the plane of the paper. We shall discuss stereochemical representations in more detail later (see Section 3.1). 

The tetrahedral structure of these surface alkyl complexes on MCM-41(5oo) has been highlighted by XANES a sharp, intense pre-edge peak at 4969.6 0.3 eV is characteristic of an electronic transition of titanium, from the Is energetic level to molecular orbitals mixing 3d and 4p of Ti with the orbitals of the Ugands, in a complex where titanium is in a tetrahedral symmetry [28-31]. The same argument can be applied for species obtained from alcoholysis of 2a and 2b, especially using tert-butanol. 

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