Explain the characteristics of $\pi$ bonds. Or,give the requirements for the formation of $\pi$ bonds and explain the active centers.

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(N/A) In a $\pi$ bond formation,parallel orientation of the two $p$-orbitals on adjacent atoms is necessary for a proper sideways overlap.
Example: For the formation of a $\pi$ bond in $H_2C=CH_2$:
- All the atoms must be in the same plane.
- The $p$-orbitals are mutually parallel.
- Both $p$-orbitals are perpendicular to the plane of the molecule.
Effect of rotation on $C-C$ bond: In $CH_2=CH_2$,the rotation of one $CH_2$ fragment with respect to the other interferes with the maximum overlap of $p$-orbitals; therefore,such rotation about the carbon-carbon double bond $(C=C)$ is restricted.
Availability of electrons by $\pi$ bond and reactive centers: The electron charge cloud of the $\pi$ bond is located above and below the plane of the bonding atoms. This results in the electrons being easily available to attacking reagents. In general,$\pi$ bonds provide the most reactive centers in molecules containing multiple bonds.

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The correct order of the extent of overlapping is:

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Distinguish between a sigma and a pi bond.

Which of the following overlaps is incorrect (assuming $Z$-axis is the internuclear axis)?
$(A)$ $2p_y + 2p_y \to \pi$-bond formation
$(B)$ $2p_x + 2p_x \to \sigma$-bond formation
$(C)$ $3d_{xy} + 3d_{xy} \to \pi$-bond formation
$(D)$ $2s + 2p_y \to \pi$-bond formation
$(E)$ $3d_{xy} + 3d_{xy} \to \delta$-bond formation
$(F)$ $2p_z + 2p_z \to \sigma$-bond formation

Assuming the bond direction is along the $z$-axis,which of the following overlaps of atomic orbitals of two atoms $(A)$ and $(B)$ will result in bonding?
$I$. $s$-orbital of $A$ and $p_x$-orbital of $B$
$II$. $s$-orbital of $A$ and $p_z$-orbital of $B$
$III$. $p_y$-orbital of $A$ and $p_z$-orbital of $B$
$IV$. $s$-orbital of both $(A)$ and $(B)$

What is the number of $\pi$ bonds and $\sigma$ bonds respectively in the given structure?

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