Physics, asked by lufer17777, 1 month ago

Hi, I'm looking for the equations to perform the wave function of the orbitals, that way I can give a graph. That way I can do the job.
Make wavefunctions of the sp2, sp3, sd3 hybridized orbitals respectively.

Answers

Answered by lavanya4144
1

Answer:

sp Hybridization

sp hybridization is observed when one s and one p orbital in the same main shell of an atom mix to form two new equivalent orbitals. The new orbitals formed are called sp hybridized orbitals. It forms linear molecules with an angle of 180°

This type of hybridization involves the mixing of one ‘s’ orbital and one ‘p’ orbital of equal energy to give a new hybrid orbital known as a sp hybridized orbital.

sp hybridization is also called diagonal hybridization.

Each sp hybridized orbital has an equal amount of s and p character, i.e., 50% s and p character.

Examples of sp Hybridization:

All compounds of beryllium like BeF2, BeH2, BeCl2

All compounds of carbon-containing triple Bond like C2H2.

sp2 Hybridization

sp2 hybridization is observed when one s and two p orbitals of the same shell of an atom mix to form 3 equivalent orbital. The new orbitals formed are called sp2 hybrid orbitals. 

hy2 bridization is also called trigonal hybridization.

It involves mixing of one ‘s’ orbital and two ‘p’ orbital’s of equal energy to give a new hybrid orbital known as sp2.

A mixture of s and p orbital formed in trigonal symmetry and is maintained at 1200.

All the three hybrid orbitals remain in one plane and make an angle of 120° with one another. Each of the hybrid orbitals formed has 33.33% s character and 66.66% ‘p’ character.

The molecules in which the central atom is linked to 3 atoms and is sp2 hybridized have a triangular planar shape.

Examples of sp2 Hybridization

All the compounds of Boron i.e. BF3, BH3

All the compounds of carbon containing a carbon-carbon double bond, Ethylene (C2H4)

sp3 Hybridization

When one ‘s’ orbital and 3 ‘p’ orbitals belonging to the same shell of an atom mix together to form four new equivalent orbital, the type of hybridization is called a tetrahedral hybridization or sp3. The new orbitals formed are called sp3 hybrid orbitals.

These are directed towards the four corners of a regular tetrahedron and make an angle of 109°28’ with one another.

 The angle between the sp3 hybrid orbitals is 109.280

Each sp3 hybrid orbital has 25% s character and 75% p character.

Example of sp3 hybridization: ethane (C2H6), methane.

sp3d Hybridization

sp3d hybridization involves the mixing of 3p orbitals and 1d orbital to form 5 sp3d hybridized orbitals of equal energy. They have trigonal bipyramidal geometry.

The mixture of s, p and d orbital forms trigonal bipyramidal symmetry.

Three hybrid orbitals lie in the horizontal plane inclined at an angle of 120° to each other known as the equatorial orbitals.

The remaining two orbitals lie in the vertical plane at 90 degrees plane of the equatorial orbitals known as axial orbitals.

Example: Hybridization in Phosphorus pentachloride (PCl5)

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