Answer to Question #122949 in Organic Chemistry for Tantoh Justin

Question

Huckel molecular diagram for 1,3-butadiene

Answer 1

Solution.

Wave function 1 does not have any nodes (delocalized cloud). Wave function 2 has one sign transition or one node or one nodal plane. Wave function 3 has two nodal planes. Finally, the wave function 4 has 3 sign changes, 3 nodal planes. As the number of nodes increases, the energy of the system increases. The point at which the sign of the wave function changes is called a node. The nodal plane divides the areas where the wave function has different signs; moreover, in the plane itself, the wave function is equal to 0.

Answer:

Wave function 1 does not have any nodes (delocalized cloud). Wave function 2 has one sign transition or one node or one nodal plane. Wave function 3 has two nodal planes. Finally, the wave function 4 has 3 sign changes, 3 nodal planes. As the number of nodes increases, the energy of the system increases. The point at which the sign of the wave function changes is called a node. The nodal plane divides the areas where the wave function has different signs; moreover, in the plane itself, the wave function is equal to 0.