Question

In: Chemistry

The energies of the ? MOs obtained from Hückel MO theory for ? sp2 hybridised carbon...

The energies of the ? MOs obtained from Hückel MO theory for ? sp2 hybridised carbon atoms forming a linear chain are given by:

?? = ? + 2?cos ( ?? ? + 1 )

where ? is the energy level (? = 1,2, … , ?) in order of increasing energy.

(i) Give the values of ? for the HOMO and LUMO in butadiene.

(ii) The energy required to promote an electron from the HOMO to the LUMO of butadiene was measured to be 309 kJ/mol. Determine the value of ?

Solutions

Expert Solution

ANSWERS-

The correct expression for energy is given as

?? = ? + 2?cos ( ?? (? + 1 ))

1) For HOMO K=2 and LUMO K=3,

2) The value of ? is -77.25 kJ/mol.

I am attaching images for the solution and explanation of each part.


Related Solutions

A carbon atom that is sp2 hybridized will have how many valence electrons occupying sp2 orbitals...
A carbon atom that is sp2 hybridized will have how many valence electrons occupying sp2 orbitals and how many valence electrons occupying p orbitals.
How can we fabricate a n-MOS and p-MOS with the same Carbon Nano Tubes? What are...
How can we fabricate a n-MOS and p-MOS with the same Carbon Nano Tubes? What are its advantages and disadvantages?
Provide the hybridization (sp3, sp2 or sp) for all carbon, nitrogen and oxygen atoms for the...
Provide the hybridization (sp3, sp2 or sp) for all carbon, nitrogen and oxygen atoms for the following molecule: CH3CH=NH Draw the atomic orbitals for each atom (balloon-type), with correct geometry, overlapping to form sigma or pi bonds for the entire molecule.
In which of the following molecules or ions is the carbon atom sp2 hybridized? Select one:...
In which of the following molecules or ions is the carbon atom sp2 hybridized? Select one: a. C2H2 b. CF4 c. CO32- d. CH2Cl2 e. CO2
Match each molecule with the hybridization of the carbon atom. A   sp B   sp2 C   sp3d2...
Match each molecule with the hybridization of the carbon atom. A   sp B   sp2 C   sp3d2 D   sp3d E   sp3 CO32- CO2 NCO- C2O42-
Using CO as an example, explain the differences in MO theory bonding and VSEPR theory bonding.
Using CO as an example, explain the differences in MO theory bonding and VSEPR theory bonding.
14) Which one of the following structures DOES NOT have sp2-hybridized carbon centers? A) methyl anion...
14) Which one of the following structures DOES NOT have sp2-hybridized carbon centers? A) methyl anion B) methyl radical C) methyl cation D) Benzene molecule
Using the Einstein model, sketch a diagram of the ground state vibrational energies of carbon and...
Using the Einstein model, sketch a diagram of the ground state vibrational energies of carbon and lead atoms, and the potentials which confine them. Explain how the Einstein model fails, and go on to explain how the Debye model makes up for its failures.
Which statement is false? In MO theory all electrons are accounted for, not just the valence...
Which statement is false? In MO theory all electrons are accounted for, not just the valence electrons. No two molecular orbitals for any molecule ever have the same energy. Electrons occupy MOs by following Hund’s Rule. Electrons occupy MOs by following the Aufbau Principle. Electrons occupy MOs by following the Pauli Exclusion Principle.
Use the ideas of MO theory to explain why the carbide anion has the formula that...
Use the ideas of MO theory to explain why the carbide anion has the formula that it does.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT