Obitals atoms

LCAO (linear combination of atomic orbitals. Section 1.11) A mathematical method for arriving at wave functions for molecular obitals that involves adding or subtracting wave functions for atomic orbitals. 

Both hybridization and molecular orbital theory (discussed in Section 3.5) involve the mixing of atomic orbitals however, the construction of hybrid orbitals involves mixing of atomic orbitals on the same atom, whereas the construction of molecular obitals involves atomic orbitals on different atoms. 

Fig.9.20. Predicting the band structure of (P1H4 )oo-(a) The Bloch functions fort =Oandfc= corresponding to the atomic orbitals 6pz(a type orbitals), 5dxy (S type orbitals), 5dxz (rr type obitals, similarly for 5d 2 2 (o type orbitals) (b)...

Historically, the Greek letter zeta (Q was used to represent the orbital exponent [h in Eq. (3.2)]. For atoms largCT than hydrogen, it turns out that an accurate representation of the orbitals requires a somewhat more complicated expression than a simple Slater obital. Thus, what were called double- orbitals ... 

Localized electron model The central oxygen atom is sp hybridized, which is used to form the two lone pair of electrons. An unchanged (unhybridized) p atomic orbital forms the sr bond with the neighboring oxygen atoms. The actual structure of O3 is an average of the two resonance structures. Molecular obital model There are two locaUzed [Pg.1136]

The carbon atoms are sp hybridized. The six C—H bonds are formed from the sp hybrid orbitals on C with the Is atomic obitals from the hydrogen atoms. The carbon-carbon bond is formed from an s/f hybrid orbital on each C atom. 

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