Bonding and anti-bonding molecular orbitals has to be determined for the molecular orbitals of 1,3,5-hexatriene . Concept introduction: Molecular orbital theory suggests that atomic orbitals of different atoms combines to create molecular orbitals. Molecular orbitals can be constructed from linear combination of atomic orbitals. Bonding orbotals are formed by the additive combination of atomic orbitals and the antibonding orbitals are formed by the substractive combination of atomic orbitals. Antibonding orbital is a molecular orbital that results when two parallel atomic orbitals with opposite phases interact. Antibonding orbitals have higher energy than the bonding molecular orbitals. HOMO is a molecular orbital which is the abbrevation of Highest Occupied Molecular Orbital. LUMO is also a molecular orbital which is the short form of Lowest Unoccupied Molecular Orbital. If the lobes at the ends of the MO are in phase, then the MO is symmetric. If the two lobes are out phase then the MO is antisymmetric.

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Answer 1

Question

Chapter 28.2, Problem 2P

(a)

Interpretation Introduction

Interpretation: Bonding and anti-bonding molecular orbitals has to be determined for the molecular orbitals of 1,3,5-hexatriene.

Concept introduction:

Molecular orbital theory suggests that atomic orbitals of different atoms combines to create molecular orbitals.

Molecular orbitals can be constructed from linear combination of atomic orbitals.

Bonding orbotals are formed by the additive combination of atomic orbitals and the antibonding orbitals are formed by the substractive combination of atomic orbitals.

Antibonding orbital is a molecular orbital that results when two parallel atomic orbitals with opposite phases interact.

Antibonding orbitals have higher energy than the bonding molecular orbitals.

HOMO is a molecular orbital which is the abbrevation of Highest Occupied Molecular Orbital.

LUMO is also a molecular orbital which is the short form of Lowest Unoccupied Molecular Orbital.

If the lobes at the ends of the MO are in phase, then the MO is symmetric.

If the two lobes are out phase then the MO is antisymmetric.

(b)

Interpretation Introduction

Interpretation: HOMO and LUMO molecular orbitals in the ground state has to be determined for the molecular orbitals of 1,3,5-hexatriene.

Concept introduction:

Molecular orbital theory suggests that atomic orbitals of different atoms combines to create molecular orbitals.

Molecular orbitals can be constructed from linear combination of atomic orbitals.

Bonding orbotals are formed by the additive combination of atomic orbitals and the antibonding orbitals are formed by the substractive combination of atomic orbitals.

Antibonding orbital is a molecular orbital that results when two parallel atomic orbitals with opposite phases interact.

Antibonding orbitals have higher energy than the bonding molecular orbitals.

Ground state and and exited states are the positions with lower and higher energy respectively.

HOMO is a molecular orbital which is the abbrevation of Highest Occupied Molecular Orbital.

LUMO is also a molecular orbital which is the short form of Lowest Unoccupied Molecular Orbital.

If the lobes at the ends of the MO are in phase, then the MO is symmetric.

If the two lobes are out phase then the MO is antisymmetric.

(c)

Interpretation Introduction

Interpretation: HOMO and LUMO molecular orbitals in the existed state has to be determined for the molecular orbitals of 1,3,5-hexatriene.

Concept introduction:

Molecular orbital theory suggests that atomic orbitals of different atoms combines to create molecular orbitals.

Molecular orbitals can be constructed from linear combination of atomic orbitals.

Bonding orbotals are formed by the additive combination of atomic orbitals and the antibonding orbitals are formed by the substractive combination of atomic orbitals.

Antibonding orbital is a molecular orbital that results when two parallel atomic orbitals with opposite phases interact.

Antibonding orbitals have higher energy than the bonding molecular orbitals.

Ground state and and exited states are the positions with lower and higher energy respectively.

HOMO is a molecular orbital which is the abbrevation of Highest Occupied Molecular Orbital.

LUMO is also a molecular orbital which is the short form of Lowest Unoccupied Molecular Orbital.

If the lobes at the ends of the MO are in phase, then the MO is symmetric.

If the two lobes are out phase then the MO is antisymmetric.

(d)

Interpretation Introduction

Interpretation: Symmetric and anti-symmetric MOs has to be determined for the molecular orbitals of 1,3,5-hexatriene.

Concept introduction:

Molecular orbital theory suggests that atomic orbitals of different atoms combines to create molecular orbitals.

Molecular orbitals can be constructed from linear combination of atomic orbitals.

Bonding orbotals are formed by the additive combination of atomic orbitals and the antibonding orbitals are formed by the substractive combination of atomic orbitals.

Antibonding orbital is a molecular orbital that results when two parallel atomic orbitals with opposite phases interact.

Antibonding orbitals have higher energy than the bonding molecular orbitals.

Ground state and and exited states are the positions with lower and higher energy respectively.

HOMO is a molecular orbital which is the abbrevation of Highest Occupied Molecular Orbital.

LUMO is also a molecular orbital which is the short form of Lowest Unoccupied Molecular Orbital.

If the lobes at the ends of the MO are in phase, then the MO is symmetric.

If the two lobes are out phase then the MO is antisymmetric.

(e)

Interpretation Introduction

Interpretation: The relationship between HOMO and LUMO and symmetric and antisymmetric molecular orbitals has to be determined.

Concept introduction:

Molecular orbital theory suggests that atomic orbitals of different atoms combines to create molecular orbitals.

Molecular orbitals can be constructed from linear combination of atomic orbitals.

Bonding orbotals are formed by the additive combination of atomic orbitals and the antibonding orbitals are formed by the substractive combination of atomic orbitals.

Antibonding orbital is a molecular orbital that results when two parallel atomic orbitals with opposite phases interact.

Antibonding orbitals have higher energy than the bonding molecular orbitals.

Ground state and and exited states are the positions with lower and higher energy respectively.

HOMO is a molecular orbital which is the abbrevation of Highest Occupied Molecular Orbital.

LUMO is also a molecular orbital which is the short form of Lowest Unoccupied Molecular Orbital.

If the lobes at the ends of the MO are in phase, then the MO is symmetric.

If the two lobes are out phase then the MO is antisymmetric.

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MISSED THIS? Read Section 19.9 (Pages 878-881); Watch IWE 19.10 Consider the following reaction: CH3OH(g) CO(g) + 2H2(g) (Note that AG,CH3OH(g) = -162.3 kJ/mol and AG,co(g)=-137.2 kJ/mol.) Part A Calculate AG for this reaction at 25 °C under the following conditions: PCH₂OH Pco PH2 0.815 atm = 0.140 atm 0.170 atm Express your answer in kilojoules to three significant figures. Ο ΑΣΦ AG = -150 Submit Previous Answers Request Answer □? kJ × Incorrect; Try Again; 2 attempts remaining Calculate the free energy change under nonstandard conditions (AGrxn) by using the following relationship: AGrxn = AGrxn + RTInQ, AGxn+RTInQ, where AGxn is the standard free energy change, R is the ideal gas constant, T is the temperature in kelvins, a is the reaction quotient. Provide Feedback Next >

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Answer 2

Question

Chapter 28.2, Problem 2P

(a)

Interpretation Introduction

Interpretation: Bonding and anti-bonding molecular orbitals has to be determined for the molecular orbitals of 1,3,5-hexatriene.

Concept introduction:

Molecular orbital theory suggests that atomic orbitals of different atoms combines to create molecular orbitals.

Molecular orbitals can be constructed from linear combination of atomic orbitals.

Bonding orbotals are formed by the additive combination of atomic orbitals and the antibonding orbitals are formed by the substractive combination of atomic orbitals.

Antibonding orbital is a molecular orbital that results when two parallel atomic orbitals with opposite phases interact.

Antibonding orbitals have higher energy than the bonding molecular orbitals.

HOMO is a molecular orbital which is the abbrevation of Highest Occupied Molecular Orbital.

LUMO is also a molecular orbital which is the short form of Lowest Unoccupied Molecular Orbital.

If the lobes at the ends of the MO are in phase, then the MO is symmetric.

If the two lobes are out phase then the MO is antisymmetric.

(b)

Interpretation Introduction

Interpretation: HOMO and LUMO molecular orbitals in the ground state has to be determined for the molecular orbitals of 1,3,5-hexatriene.

Concept introduction:

Molecular orbital theory suggests that atomic orbitals of different atoms combines to create molecular orbitals.

Molecular orbitals can be constructed from linear combination of atomic orbitals.

Bonding orbotals are formed by the additive combination of atomic orbitals and the antibonding orbitals are formed by the substractive combination of atomic orbitals.

Antibonding orbital is a molecular orbital that results when two parallel atomic orbitals with opposite phases interact.

Antibonding orbitals have higher energy than the bonding molecular orbitals.

Ground state and and exited states are the positions with lower and higher energy respectively.

HOMO is a molecular orbital which is the abbrevation of Highest Occupied Molecular Orbital.

LUMO is also a molecular orbital which is the short form of Lowest Unoccupied Molecular Orbital.

If the lobes at the ends of the MO are in phase, then the MO is symmetric.

If the two lobes are out phase then the MO is antisymmetric.

(c)

Interpretation Introduction

Interpretation: HOMO and LUMO molecular orbitals in the existed state has to be determined for the molecular orbitals of 1,3,5-hexatriene.

Concept introduction:

Molecular orbital theory suggests that atomic orbitals of different atoms combines to create molecular orbitals.

Molecular orbitals can be constructed from linear combination of atomic orbitals.

Bonding orbotals are formed by the additive combination of atomic orbitals and the antibonding orbitals are formed by the substractive combination of atomic orbitals.

Antibonding orbital is a molecular orbital that results when two parallel atomic orbitals with opposite phases interact.

Antibonding orbitals have higher energy than the bonding molecular orbitals.

Ground state and and exited states are the positions with lower and higher energy respectively.

HOMO is a molecular orbital which is the abbrevation of Highest Occupied Molecular Orbital.

LUMO is also a molecular orbital which is the short form of Lowest Unoccupied Molecular Orbital.

If the lobes at the ends of the MO are in phase, then the MO is symmetric.

If the two lobes are out phase then the MO is antisymmetric.

(d)

Interpretation Introduction

Interpretation: Symmetric and anti-symmetric MOs has to be determined for the molecular orbitals of 1,3,5-hexatriene.

Concept introduction:

Molecular orbital theory suggests that atomic orbitals of different atoms combines to create molecular orbitals.

Molecular orbitals can be constructed from linear combination of atomic orbitals.

Bonding orbotals are formed by the additive combination of atomic orbitals and the antibonding orbitals are formed by the substractive combination of atomic orbitals.

Antibonding orbital is a molecular orbital that results when two parallel atomic orbitals with opposite phases interact.

Antibonding orbitals have higher energy than the bonding molecular orbitals.

Ground state and and exited states are the positions with lower and higher energy respectively.

HOMO is a molecular orbital which is the abbrevation of Highest Occupied Molecular Orbital.

LUMO is also a molecular orbital which is the short form of Lowest Unoccupied Molecular Orbital.

If the lobes at the ends of the MO are in phase, then the MO is symmetric.

If the two lobes are out phase then the MO is antisymmetric.

(e)

Interpretation Introduction

Interpretation: The relationship between HOMO and LUMO and symmetric and antisymmetric molecular orbitals has to be determined.

Concept introduction:

Molecular orbital theory suggests that atomic orbitals of different atoms combines to create molecular orbitals.

Molecular orbitals can be constructed from linear combination of atomic orbitals.

Bonding orbotals are formed by the additive combination of atomic orbitals and the antibonding orbitals are formed by the substractive combination of atomic orbitals.

Antibonding orbital is a molecular orbital that results when two parallel atomic orbitals with opposite phases interact.

Antibonding orbitals have higher energy than the bonding molecular orbitals.

Ground state and and exited states are the positions with lower and higher energy respectively.

HOMO is a molecular orbital which is the abbrevation of Highest Occupied Molecular Orbital.

LUMO is also a molecular orbital which is the short form of Lowest Unoccupied Molecular Orbital.

If the lobes at the ends of the MO are in phase, then the MO is symmetric.

If the two lobes are out phase then the MO is antisymmetric.

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Answer 3

Question

Chapter 28.2, Problem 2P

(a)

Interpretation Introduction

Interpretation: Bonding and anti-bonding molecular orbitals has to be determined for the molecular orbitals of 1,3,5-hexatriene.

Concept introduction:

Molecular orbital theory suggests that atomic orbitals of different atoms combines to create molecular orbitals.

Molecular orbitals can be constructed from linear combination of atomic orbitals.

Bonding orbotals are formed by the additive combination of atomic orbitals and the antibonding orbitals are formed by the substractive combination of atomic orbitals.

Antibonding orbital is a molecular orbital that results when two parallel atomic orbitals with opposite phases interact.

Antibonding orbitals have higher energy than the bonding molecular orbitals.

HOMO is a molecular orbital which is the abbrevation of Highest Occupied Molecular Orbital.

LUMO is also a molecular orbital which is the short form of Lowest Unoccupied Molecular Orbital.

If the lobes at the ends of the MO are in phase, then the MO is symmetric.

If the two lobes are out phase then the MO is antisymmetric.

(b)

Interpretation Introduction

Interpretation: HOMO and LUMO molecular orbitals in the ground state has to be determined for the molecular orbitals of 1,3,5-hexatriene.

Concept introduction:

Molecular orbital theory suggests that atomic orbitals of different atoms combines to create molecular orbitals.

Molecular orbitals can be constructed from linear combination of atomic orbitals.

Bonding orbotals are formed by the additive combination of atomic orbitals and the antibonding orbitals are formed by the substractive combination of atomic orbitals.

Antibonding orbital is a molecular orbital that results when two parallel atomic orbitals with opposite phases interact.

Antibonding orbitals have higher energy than the bonding molecular orbitals.

Ground state and and exited states are the positions with lower and higher energy respectively.

HOMO is a molecular orbital which is the abbrevation of Highest Occupied Molecular Orbital.

LUMO is also a molecular orbital which is the short form of Lowest Unoccupied Molecular Orbital.

If the lobes at the ends of the MO are in phase, then the MO is symmetric.

If the two lobes are out phase then the MO is antisymmetric.

(c)

Interpretation Introduction

Interpretation: HOMO and LUMO molecular orbitals in the existed state has to be determined for the molecular orbitals of 1,3,5-hexatriene.

Concept introduction:

Molecular orbital theory suggests that atomic orbitals of different atoms combines to create molecular orbitals.

Molecular orbitals can be constructed from linear combination of atomic orbitals.

Bonding orbotals are formed by the additive combination of atomic orbitals and the antibonding orbitals are formed by the substractive combination of atomic orbitals.

Antibonding orbital is a molecular orbital that results when two parallel atomic orbitals with opposite phases interact.

Antibonding orbitals have higher energy than the bonding molecular orbitals.

Ground state and and exited states are the positions with lower and higher energy respectively.

HOMO is a molecular orbital which is the abbrevation of Highest Occupied Molecular Orbital.

LUMO is also a molecular orbital which is the short form of Lowest Unoccupied Molecular Orbital.

If the lobes at the ends of the MO are in phase, then the MO is symmetric.

If the two lobes are out phase then the MO is antisymmetric.

(d)

Interpretation Introduction

Interpretation: Symmetric and anti-symmetric MOs has to be determined for the molecular orbitals of 1,3,5-hexatriene.

Concept introduction:

Molecular orbital theory suggests that atomic orbitals of different atoms combines to create molecular orbitals.

Molecular orbitals can be constructed from linear combination of atomic orbitals.

Bonding orbotals are formed by the additive combination of atomic orbitals and the antibonding orbitals are formed by the substractive combination of atomic orbitals.

Antibonding orbital is a molecular orbital that results when two parallel atomic orbitals with opposite phases interact.

Antibonding orbitals have higher energy than the bonding molecular orbitals.

Ground state and and exited states are the positions with lower and higher energy respectively.

HOMO is a molecular orbital which is the abbrevation of Highest Occupied Molecular Orbital.

LUMO is also a molecular orbital which is the short form of Lowest Unoccupied Molecular Orbital.

If the lobes at the ends of the MO are in phase, then the MO is symmetric.

If the two lobes are out phase then the MO is antisymmetric.

(e)

Interpretation Introduction

Interpretation: The relationship between HOMO and LUMO and symmetric and antisymmetric molecular orbitals has to be determined.

Concept introduction:

Molecular orbital theory suggests that atomic orbitals of different atoms combines to create molecular orbitals.

Molecular orbitals can be constructed from linear combination of atomic orbitals.

Bonding orbotals are formed by the additive combination of atomic orbitals and the antibonding orbitals are formed by the substractive combination of atomic orbitals.

Antibonding orbital is a molecular orbital that results when two parallel atomic orbitals with opposite phases interact.

Antibonding orbitals have higher energy than the bonding molecular orbitals.

Ground state and and exited states are the positions with lower and higher energy respectively.

HOMO is a molecular orbital which is the abbrevation of Highest Occupied Molecular Orbital.

LUMO is also a molecular orbital which is the short form of Lowest Unoccupied Molecular Orbital.

If the lobes at the ends of the MO are in phase, then the MO is symmetric.

If the two lobes are out phase then the MO is antisymmetric.

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Answer 4

Question

Chapter 28.2, Problem 2P

(a)

Interpretation Introduction

Interpretation: Bonding and anti-bonding molecular orbitals has to be determined for the molecular orbitals of 1,3,5-hexatriene.

Concept introduction:

Molecular orbital theory suggests that atomic orbitals of different atoms combines to create molecular orbitals.

Molecular orbitals can be constructed from linear combination of atomic orbitals.

Bonding orbotals are formed by the additive combination of atomic orbitals and the antibonding orbitals are formed by the substractive combination of atomic orbitals.

Antibonding orbital is a molecular orbital that results when two parallel atomic orbitals with opposite phases interact.

Antibonding orbitals have higher energy than the bonding molecular orbitals.

HOMO is a molecular orbital which is the abbrevation of Highest Occupied Molecular Orbital.

LUMO is also a molecular orbital which is the short form of Lowest Unoccupied Molecular Orbital.

If the lobes at the ends of the MO are in phase, then the MO is symmetric.

If the two lobes are out phase then the MO is antisymmetric.

(b)

Interpretation Introduction

Interpretation: HOMO and LUMO molecular orbitals in the ground state has to be determined for the molecular orbitals of 1,3,5-hexatriene.

Concept introduction:

Molecular orbital theory suggests that atomic orbitals of different atoms combines to create molecular orbitals.

Molecular orbitals can be constructed from linear combination of atomic orbitals.

Bonding orbotals are formed by the additive combination of atomic orbitals and the antibonding orbitals are formed by the substractive combination of atomic orbitals.

Antibonding orbital is a molecular orbital that results when two parallel atomic orbitals with opposite phases interact.

Antibonding orbitals have higher energy than the bonding molecular orbitals.

Ground state and and exited states are the positions with lower and higher energy respectively.

HOMO is a molecular orbital which is the abbrevation of Highest Occupied Molecular Orbital.

LUMO is also a molecular orbital which is the short form of Lowest Unoccupied Molecular Orbital.

If the lobes at the ends of the MO are in phase, then the MO is symmetric.

If the two lobes are out phase then the MO is antisymmetric.

(c)

Interpretation Introduction

Interpretation: HOMO and LUMO molecular orbitals in the existed state has to be determined for the molecular orbitals of 1,3,5-hexatriene.

Concept introduction:

Molecular orbital theory suggests that atomic orbitals of different atoms combines to create molecular orbitals.

Molecular orbitals can be constructed from linear combination of atomic orbitals.

Bonding orbotals are formed by the additive combination of atomic orbitals and the antibonding orbitals are formed by the substractive combination of atomic orbitals.

Antibonding orbital is a molecular orbital that results when two parallel atomic orbitals with opposite phases interact.

Antibonding orbitals have higher energy than the bonding molecular orbitals.

Ground state and and exited states are the positions with lower and higher energy respectively.

HOMO is a molecular orbital which is the abbrevation of Highest Occupied Molecular Orbital.

LUMO is also a molecular orbital which is the short form of Lowest Unoccupied Molecular Orbital.

If the lobes at the ends of the MO are in phase, then the MO is symmetric.

If the two lobes are out phase then the MO is antisymmetric.

(d)

Interpretation Introduction

Interpretation: Symmetric and anti-symmetric MOs has to be determined for the molecular orbitals of 1,3,5-hexatriene.

Concept introduction:

Molecular orbital theory suggests that atomic orbitals of different atoms combines to create molecular orbitals.

Molecular orbitals can be constructed from linear combination of atomic orbitals.

Bonding orbotals are formed by the additive combination of atomic orbitals and the antibonding orbitals are formed by the substractive combination of atomic orbitals.

Antibonding orbital is a molecular orbital that results when two parallel atomic orbitals with opposite phases interact.

Antibonding orbitals have higher energy than the bonding molecular orbitals.

Ground state and and exited states are the positions with lower and higher energy respectively.

HOMO is a molecular orbital which is the abbrevation of Highest Occupied Molecular Orbital.

LUMO is also a molecular orbital which is the short form of Lowest Unoccupied Molecular Orbital.

If the lobes at the ends of the MO are in phase, then the MO is symmetric.

If the two lobes are out phase then the MO is antisymmetric.

(e)

Interpretation Introduction

Interpretation: The relationship between HOMO and LUMO and symmetric and antisymmetric molecular orbitals has to be determined.

Concept introduction:

Molecular orbital theory suggests that atomic orbitals of different atoms combines to create molecular orbitals.

Molecular orbitals can be constructed from linear combination of atomic orbitals.

Bonding orbotals are formed by the additive combination of atomic orbitals and the antibonding orbitals are formed by the substractive combination of atomic orbitals.

Antibonding orbital is a molecular orbital that results when two parallel atomic orbitals with opposite phases interact.

Antibonding orbitals have higher energy than the bonding molecular orbitals.

Ground state and and exited states are the positions with lower and higher energy respectively.

HOMO is a molecular orbital which is the abbrevation of Highest Occupied Molecular Orbital.

LUMO is also a molecular orbital which is the short form of Lowest Unoccupied Molecular Orbital.

If the lobes at the ends of the MO are in phase, then the MO is symmetric.

If the two lobes are out phase then the MO is antisymmetric.

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Check out a sample textbook solution

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Answer 5

Chapter 28.2, Problem 2P

(a)

Interpretation Introduction

Interpretation: Bonding and anti-bonding molecular orbitals has to be determined for the molecular orbitals of 1,3,5-hexatriene.

Concept introduction:

Molecular orbital theory suggests that atomic orbitals of different atoms combines to create molecular orbitals.

Molecular orbitals can be constructed from linear combination of atomic orbitals.

Bonding orbotals are formed by the additive combination of atomic orbitals and the antibonding orbitals are formed by the substractive combination of atomic orbitals.

Antibonding orbital is a molecular orbital that results when two parallel atomic orbitals with opposite phases interact.

Antibonding orbitals have higher energy than the bonding molecular orbitals.

HOMO is a molecular orbital which is the abbrevation of Highest Occupied Molecular Orbital.

LUMO is also a molecular orbital which is the short form of Lowest Unoccupied Molecular Orbital.

If the lobes at the ends of the MO are in phase, then the MO is symmetric.

If the two lobes are out phase then the MO is antisymmetric.

(b)

Interpretation Introduction

Interpretation: HOMO and LUMO molecular orbitals in the ground state has to be determined for the molecular orbitals of 1,3,5-hexatriene.

Concept introduction:

Molecular orbital theory suggests that atomic orbitals of different atoms combines to create molecular orbitals.

Molecular orbitals can be constructed from linear combination of atomic orbitals.

Bonding orbotals are formed by the additive combination of atomic orbitals and the antibonding orbitals are formed by the substractive combination of atomic orbitals.

Antibonding orbital is a molecular orbital that results when two parallel atomic orbitals with opposite phases interact.

Antibonding orbitals have higher energy than the bonding molecular orbitals.

Ground state and and exited states are the positions with lower and higher energy respectively.

HOMO is a molecular orbital which is the abbrevation of Highest Occupied Molecular Orbital.

LUMO is also a molecular orbital which is the short form of Lowest Unoccupied Molecular Orbital.

If the lobes at the ends of the MO are in phase, then the MO is symmetric.

If the two lobes are out phase then the MO is antisymmetric.

(c)

Interpretation Introduction

Interpretation: HOMO and LUMO molecular orbitals in the existed state has to be determined for the molecular orbitals of 1,3,5-hexatriene.

Concept introduction:

Molecular orbital theory suggests that atomic orbitals of different atoms combines to create molecular orbitals.

Molecular orbitals can be constructed from linear combination of atomic orbitals.

Bonding orbotals are formed by the additive combination of atomic orbitals and the antibonding orbitals are formed by the substractive combination of atomic orbitals.

Antibonding orbital is a molecular orbital that results when two parallel atomic orbitals with opposite phases interact.

Antibonding orbitals have higher energy than the bonding molecular orbitals.

Ground state and and exited states are the positions with lower and higher energy respectively.

HOMO is a molecular orbital which is the abbrevation of Highest Occupied Molecular Orbital.

LUMO is also a molecular orbital which is the short form of Lowest Unoccupied Molecular Orbital.

If the lobes at the ends of the MO are in phase, then the MO is symmetric.

If the two lobes are out phase then the MO is antisymmetric.

(d)

Interpretation Introduction

Interpretation: Symmetric and anti-symmetric MOs has to be determined for the molecular orbitals of 1,3,5-hexatriene.

Concept introduction:

Molecular orbital theory suggests that atomic orbitals of different atoms combines to create molecular orbitals.

Molecular orbitals can be constructed from linear combination of atomic orbitals.

Bonding orbotals are formed by the additive combination of atomic orbitals and the antibonding orbitals are formed by the substractive combination of atomic orbitals.

Antibonding orbital is a molecular orbital that results when two parallel atomic orbitals with opposite phases interact.

Antibonding orbitals have higher energy than the bonding molecular orbitals.

Ground state and and exited states are the positions with lower and higher energy respectively.

HOMO is a molecular orbital which is the abbrevation of Highest Occupied Molecular Orbital.

LUMO is also a molecular orbital which is the short form of Lowest Unoccupied Molecular Orbital.

If the lobes at the ends of the MO are in phase, then the MO is symmetric.

If the two lobes are out phase then the MO is antisymmetric.

(e)

Interpretation Introduction

Interpretation: The relationship between HOMO and LUMO and symmetric and antisymmetric molecular orbitals has to be determined.

Concept introduction:

Molecular orbital theory suggests that atomic orbitals of different atoms combines to create molecular orbitals.

Molecular orbitals can be constructed from linear combination of atomic orbitals.

Bonding orbotals are formed by the additive combination of atomic orbitals and the antibonding orbitals are formed by the substractive combination of atomic orbitals.

Antibonding orbital is a molecular orbital that results when two parallel atomic orbitals with opposite phases interact.

Antibonding orbitals have higher energy than the bonding molecular orbitals.

Ground state and and exited states are the positions with lower and higher energy respectively.

HOMO is a molecular orbital which is the abbrevation of Highest Occupied Molecular Orbital.

LUMO is also a molecular orbital which is the short form of Lowest Unoccupied Molecular Orbital.

If the lobes at the ends of the MO are in phase, then the MO is symmetric.

If the two lobes are out phase then the MO is antisymmetric.

Answer 6

Chapter 28.2, Problem 2P

(a)

Interpretation Introduction

Interpretation: Bonding and anti-bonding molecular orbitals has to be determined for the molecular orbitals of 1,3,5-hexatriene.

Concept introduction:

Molecular orbital theory suggests that atomic orbitals of different atoms combines to create molecular orbitals.

Molecular orbitals can be constructed from linear combination of atomic orbitals.

Bonding orbotals are formed by the additive combination of atomic orbitals and the antibonding orbitals are formed by the substractive combination of atomic orbitals.

Antibonding orbital is a molecular orbital that results when two parallel atomic orbitals with opposite phases interact.

Antibonding orbitals have higher energy than the bonding molecular orbitals.

HOMO is a molecular orbital which is the abbrevation of Highest Occupied Molecular Orbital.

LUMO is also a molecular orbital which is the short form of Lowest Unoccupied Molecular Orbital.

If the lobes at the ends of the MO are in phase, then the MO is symmetric.

If the two lobes are out phase then the MO is antisymmetric.

Answer 7

Chapter 28.2, Problem 2P

(a)

Interpretation Introduction

Interpretation: Bonding and anti-bonding molecular orbitals has to be determined for the molecular orbitals of 1,3,5-hexatriene.

Concept introduction:

Molecular orbital theory suggests that atomic orbitals of different atoms combines to create molecular orbitals.

Molecular orbitals can be constructed from linear combination of atomic orbitals.

Bonding orbotals are formed by the additive combination of atomic orbitals and the antibonding orbitals are formed by the substractive combination of atomic orbitals.

Antibonding orbital is a molecular orbital that results when two parallel atomic orbitals with opposite phases interact.

Antibonding orbitals have higher energy than the bonding molecular orbitals.

HOMO is a molecular orbital which is the abbrevation of Highest Occupied Molecular Orbital.

LUMO is also a molecular orbital which is the short form of Lowest Unoccupied Molecular Orbital.

If the lobes at the ends of the MO are in phase, then the MO is symmetric.

If the two lobes are out phase then the MO is antisymmetric.

Answer 8

(b)

Interpretation Introduction

Interpretation: HOMO and LUMO molecular orbitals in the ground state has to be determined for the molecular orbitals of 1,3,5-hexatriene.

Concept introduction:

Molecular orbital theory suggests that atomic orbitals of different atoms combines to create molecular orbitals.

Molecular orbitals can be constructed from linear combination of atomic orbitals.

Bonding orbotals are formed by the additive combination of atomic orbitals and the antibonding orbitals are formed by the substractive combination of atomic orbitals.

Antibonding orbital is a molecular orbital that results when two parallel atomic orbitals with opposite phases interact.

Antibonding orbitals have higher energy than the bonding molecular orbitals.

Ground state and and exited states are the positions with lower and higher energy respectively.

HOMO is a molecular orbital which is the abbrevation of Highest Occupied Molecular Orbital.

LUMO is also a molecular orbital which is the short form of Lowest Unoccupied Molecular Orbital.

If the lobes at the ends of the MO are in phase, then the MO is symmetric.

If the two lobes are out phase then the MO is antisymmetric.

Answer 9

(b)

Interpretation Introduction

Interpretation: HOMO and LUMO molecular orbitals in the ground state has to be determined for the molecular orbitals of 1,3,5-hexatriene.

Concept introduction:

Molecular orbital theory suggests that atomic orbitals of different atoms combines to create molecular orbitals.

Molecular orbitals can be constructed from linear combination of atomic orbitals.

Bonding orbotals are formed by the additive combination of atomic orbitals and the antibonding orbitals are formed by the substractive combination of atomic orbitals.

Antibonding orbital is a molecular orbital that results when two parallel atomic orbitals with opposite phases interact.

Antibonding orbitals have higher energy than the bonding molecular orbitals.

Ground state and and exited states are the positions with lower and higher energy respectively.

HOMO is a molecular orbital which is the abbrevation of Highest Occupied Molecular Orbital.

LUMO is also a molecular orbital which is the short form of Lowest Unoccupied Molecular Orbital.

If the lobes at the ends of the MO are in phase, then the MO is symmetric.

If the two lobes are out phase then the MO is antisymmetric.

Answer 10

(c)

Interpretation Introduction

Interpretation: HOMO and LUMO molecular orbitals in the existed state has to be determined for the molecular orbitals of 1,3,5-hexatriene.

Concept introduction:

Molecular orbital theory suggests that atomic orbitals of different atoms combines to create molecular orbitals.

Molecular orbitals can be constructed from linear combination of atomic orbitals.

Bonding orbotals are formed by the additive combination of atomic orbitals and the antibonding orbitals are formed by the substractive combination of atomic orbitals.

Antibonding orbital is a molecular orbital that results when two parallel atomic orbitals with opposite phases interact.

Antibonding orbitals have higher energy than the bonding molecular orbitals.

Ground state and and exited states are the positions with lower and higher energy respectively.

HOMO is a molecular orbital which is the abbrevation of Highest Occupied Molecular Orbital.

LUMO is also a molecular orbital which is the short form of Lowest Unoccupied Molecular Orbital.

If the lobes at the ends of the MO are in phase, then the MO is symmetric.

If the two lobes are out phase then the MO is antisymmetric.

Answer 11

(c)

Interpretation Introduction

Interpretation: HOMO and LUMO molecular orbitals in the existed state has to be determined for the molecular orbitals of 1,3,5-hexatriene.

Concept introduction:

Molecular orbital theory suggests that atomic orbitals of different atoms combines to create molecular orbitals.

Molecular orbitals can be constructed from linear combination of atomic orbitals.

Bonding orbotals are formed by the additive combination of atomic orbitals and the antibonding orbitals are formed by the substractive combination of atomic orbitals.

Antibonding orbital is a molecular orbital that results when two parallel atomic orbitals with opposite phases interact.

Antibonding orbitals have higher energy than the bonding molecular orbitals.

Ground state and and exited states are the positions with lower and higher energy respectively.

HOMO is a molecular orbital which is the abbrevation of Highest Occupied Molecular Orbital.

LUMO is also a molecular orbital which is the short form of Lowest Unoccupied Molecular Orbital.

If the lobes at the ends of the MO are in phase, then the MO is symmetric.

If the two lobes are out phase then the MO is antisymmetric.

Answer 12

(d)

Interpretation Introduction

Interpretation: Symmetric and anti-symmetric MOs has to be determined for the molecular orbitals of 1,3,5-hexatriene.

Concept introduction:

Molecular orbital theory suggests that atomic orbitals of different atoms combines to create molecular orbitals.

Molecular orbitals can be constructed from linear combination of atomic orbitals.

Bonding orbotals are formed by the additive combination of atomic orbitals and the antibonding orbitals are formed by the substractive combination of atomic orbitals.

Antibonding orbital is a molecular orbital that results when two parallel atomic orbitals with opposite phases interact.

Antibonding orbitals have higher energy than the bonding molecular orbitals.

Ground state and and exited states are the positions with lower and higher energy respectively.

HOMO is a molecular orbital which is the abbrevation of Highest Occupied Molecular Orbital.

LUMO is also a molecular orbital which is the short form of Lowest Unoccupied Molecular Orbital.

If the lobes at the ends of the MO are in phase, then the MO is symmetric.

If the two lobes are out phase then the MO is antisymmetric.

Answer 13

(d)

Interpretation Introduction

Interpretation: Symmetric and anti-symmetric MOs has to be determined for the molecular orbitals of 1,3,5-hexatriene.

Concept introduction:

Molecular orbital theory suggests that atomic orbitals of different atoms combines to create molecular orbitals.

Molecular orbitals can be constructed from linear combination of atomic orbitals.

Bonding orbotals are formed by the additive combination of atomic orbitals and the antibonding orbitals are formed by the substractive combination of atomic orbitals.

Antibonding orbital is a molecular orbital that results when two parallel atomic orbitals with opposite phases interact.

Antibonding orbitals have higher energy than the bonding molecular orbitals.

Ground state and and exited states are the positions with lower and higher energy respectively.

HOMO is a molecular orbital which is the abbrevation of Highest Occupied Molecular Orbital.

LUMO is also a molecular orbital which is the short form of Lowest Unoccupied Molecular Orbital.

If the lobes at the ends of the MO are in phase, then the MO is symmetric.

If the two lobes are out phase then the MO is antisymmetric.

Answer 14

(e)

Interpretation Introduction

Interpretation: The relationship between HOMO and LUMO and symmetric and antisymmetric molecular orbitals has to be determined.

Concept introduction:

Molecular orbital theory suggests that atomic orbitals of different atoms combines to create molecular orbitals.

Molecular orbitals can be constructed from linear combination of atomic orbitals.

Bonding orbotals are formed by the additive combination of atomic orbitals and the antibonding orbitals are formed by the substractive combination of atomic orbitals.

Antibonding orbital is a molecular orbital that results when two parallel atomic orbitals with opposite phases interact.

Antibonding orbitals have higher energy than the bonding molecular orbitals.

Ground state and and exited states are the positions with lower and higher energy respectively.

HOMO is a molecular orbital which is the abbrevation of Highest Occupied Molecular Orbital.

LUMO is also a molecular orbital which is the short form of Lowest Unoccupied Molecular Orbital.

If the lobes at the ends of the MO are in phase, then the MO is symmetric.

If the two lobes are out phase then the MO is antisymmetric.

Answer 15

(e)

Interpretation Introduction

Interpretation: The relationship between HOMO and LUMO and symmetric and antisymmetric molecular orbitals has to be determined.

Concept introduction:

Molecular orbital theory suggests that atomic orbitals of different atoms combines to create molecular orbitals.

Molecular orbitals can be constructed from linear combination of atomic orbitals.

Bonding orbotals are formed by the additive combination of atomic orbitals and the antibonding orbitals are formed by the substractive combination of atomic orbitals.

Antibonding orbital is a molecular orbital that results when two parallel atomic orbitals with opposite phases interact.

Antibonding orbitals have higher energy than the bonding molecular orbitals.

Ground state and and exited states are the positions with lower and higher energy respectively.

HOMO is a molecular orbital which is the abbrevation of Highest Occupied Molecular Orbital.

LUMO is also a molecular orbital which is the short form of Lowest Unoccupied Molecular Orbital.

If the lobes at the ends of the MO are in phase, then the MO is symmetric.

If the two lobes are out phase then the MO is antisymmetric.

Answer 16

Expert Solution & Answer

Answer 17

Expert Solution & Answer

Answer 18

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Answer 19

Ch. 28.1 - Prob. 1P Ch. 28.2 - Prob. 2P Ch. 28.2 - Prob. 3P Ch. 28.2 - Give a molecular orbital description for each of...Ch. 28.3 - Prob. 5P Ch. 28.3 - Prob. 6P Ch. 28.3 - Prob. 7P Ch. 28.3 - Prob. 8P Ch. 28.4 - Prob. 10P Ch. 28.4 - Prob. 11P

Solution Summary: The author explains the bonding and anti-bonding molecular orbitals for 1,3,5-hexatriene.

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Chapter 28 Solutions