The approximate energy difference between the HOMO and LUMO is to be calculated for the given UV-vis spectrum. Concept introduction: UV-vis spectrum of a particular compound is a plot of relative absorbance against wavelength. The peak in the spectrum is called λ max (lambda-max), which shows the absorbance at the maximum wavelength. When electromagnetic radiations behave as a particle, radiation exists as photons. Each photon possesses a characteristic energy that depends only on its frequency (or wavelength) and is given by the equation: E photon = h×ν photon = (h×c)/ λ photon . In UV–vis spectroscopy, the absorption of a photon typically corresponds to the promotion of an electron from an occupied MO (HOMO) to an unoccupied one (LUMO). The HOMO-LUMO transition requires the least energy, so it corresponds to the longest-wavelength UV-vis absorption. In other words, the longest-wavelength UV–vis absorption band corresponds to the HOMO–LUMO transition of the organic compound.

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Answer 1

Question

Chapter 15, Problem 15.4P

Interpretation Introduction

Interpretation:

The approximate energy difference between the HOMO and LUMO is to be calculated for the given UV-vis spectrum.

Concept introduction:

UV-vis spectrum of a particular compound is a plot of relative absorbance against wavelength. The peak in the spectrum is called λmax (lambda-max), which shows the absorbance at the maximum wavelength. When electromagnetic radiations behave as a particle, radiation exists as photons. Each photon possesses a characteristic energy that depends only on its frequency (or wavelength) and is given by the equation:

Ephoton = h×νphoton= (h×c)/ λphoton. In UV–vis spectroscopy, the absorption of a photon typically corresponds to the promotion of an electron from an occupied MO (HOMO) to an unoccupied one (LUMO). The HOMO-LUMO transition requires the least energy, so it corresponds to the longest-wavelength UV-vis absorption. In other words, the longest-wavelength UV–vis absorption band corresponds to the HOMO–LUMO transition of the organic compound.

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Answer 2

Question

Chapter 15, Problem 15.4P

Interpretation Introduction

Interpretation:

The approximate energy difference between the HOMO and LUMO is to be calculated for the given UV-vis spectrum.

Concept introduction:

UV-vis spectrum of a particular compound is a plot of relative absorbance against wavelength. The peak in the spectrum is called λmax (lambda-max), which shows the absorbance at the maximum wavelength. When electromagnetic radiations behave as a particle, radiation exists as photons. Each photon possesses a characteristic energy that depends only on its frequency (or wavelength) and is given by the equation:

Ephoton = h×νphoton= (h×c)/ λphoton. In UV–vis spectroscopy, the absorption of a photon typically corresponds to the promotion of an electron from an occupied MO (HOMO) to an unoccupied one (LUMO). The HOMO-LUMO transition requires the least energy, so it corresponds to the longest-wavelength UV-vis absorption. In other words, the longest-wavelength UV–vis absorption band corresponds to the HOMO–LUMO transition of the organic compound.

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Answer 3

Question

Chapter 15, Problem 15.4P

Interpretation Introduction

Interpretation:

The approximate energy difference between the HOMO and LUMO is to be calculated for the given UV-vis spectrum.

Concept introduction:

UV-vis spectrum of a particular compound is a plot of relative absorbance against wavelength. The peak in the spectrum is called λmax (lambda-max), which shows the absorbance at the maximum wavelength. When electromagnetic radiations behave as a particle, radiation exists as photons. Each photon possesses a characteristic energy that depends only on its frequency (or wavelength) and is given by the equation:

Ephoton = h×νphoton= (h×c)/ λphoton. In UV–vis spectroscopy, the absorption of a photon typically corresponds to the promotion of an electron from an occupied MO (HOMO) to an unoccupied one (LUMO). The HOMO-LUMO transition requires the least energy, so it corresponds to the longest-wavelength UV-vis absorption. In other words, the longest-wavelength UV–vis absorption band corresponds to the HOMO–LUMO transition of the organic compound.

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Answer 4

Question

Chapter 15, Problem 15.4P

Interpretation Introduction

Interpretation:

The approximate energy difference between the HOMO and LUMO is to be calculated for the given UV-vis spectrum.

Concept introduction:

UV-vis spectrum of a particular compound is a plot of relative absorbance against wavelength. The peak in the spectrum is called λmax (lambda-max), which shows the absorbance at the maximum wavelength. When electromagnetic radiations behave as a particle, radiation exists as photons. Each photon possesses a characteristic energy that depends only on its frequency (or wavelength) and is given by the equation:

Ephoton = h×νphoton= (h×c)/ λphoton. In UV–vis spectroscopy, the absorption of a photon typically corresponds to the promotion of an electron from an occupied MO (HOMO) to an unoccupied one (LUMO). The HOMO-LUMO transition requires the least energy, so it corresponds to the longest-wavelength UV-vis absorption. In other words, the longest-wavelength UV–vis absorption band corresponds to the HOMO–LUMO transition of the organic compound.

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Answer 5

Chapter 15, Problem 15.4P

Interpretation Introduction

Interpretation:

The approximate energy difference between the HOMO and LUMO is to be calculated for the given UV-vis spectrum.

Concept introduction:

UV-vis spectrum of a particular compound is a plot of relative absorbance against wavelength. The peak in the spectrum is called λmax (lambda-max), which shows the absorbance at the maximum wavelength. When electromagnetic radiations behave as a particle, radiation exists as photons. Each photon possesses a characteristic energy that depends only on its frequency (or wavelength) and is given by the equation:

Ephoton = h×νphoton= (h×c)/ λphoton. In UV–vis spectroscopy, the absorption of a photon typically corresponds to the promotion of an electron from an occupied MO (HOMO) to an unoccupied one (LUMO). The HOMO-LUMO transition requires the least energy, so it corresponds to the longest-wavelength UV-vis absorption. In other words, the longest-wavelength UV–vis absorption band corresponds to the HOMO–LUMO transition of the organic compound.

Answer 6

Chapter 15, Problem 15.4P

Interpretation Introduction

Interpretation:

The approximate energy difference between the HOMO and LUMO is to be calculated for the given UV-vis spectrum.

Concept introduction:

UV-vis spectrum of a particular compound is a plot of relative absorbance against wavelength. The peak in the spectrum is called λmax (lambda-max), which shows the absorbance at the maximum wavelength. When electromagnetic radiations behave as a particle, radiation exists as photons. Each photon possesses a characteristic energy that depends only on its frequency (or wavelength) and is given by the equation:

Ephoton = h×νphoton= (h×c)/ λphoton. In UV–vis spectroscopy, the absorption of a photon typically corresponds to the promotion of an electron from an occupied MO (HOMO) to an unoccupied one (LUMO). The HOMO-LUMO transition requires the least energy, so it corresponds to the longest-wavelength UV-vis absorption. In other words, the longest-wavelength UV–vis absorption band corresponds to the HOMO–LUMO transition of the organic compound.

Answer 7

Chapter 15, Problem 15.4P

Interpretation Introduction

Interpretation:

The approximate energy difference between the HOMO and LUMO is to be calculated for the given UV-vis spectrum.

Concept introduction:

UV-vis spectrum of a particular compound is a plot of relative absorbance against wavelength. The peak in the spectrum is called λmax (lambda-max), which shows the absorbance at the maximum wavelength. When electromagnetic radiations behave as a particle, radiation exists as photons. Each photon possesses a characteristic energy that depends only on its frequency (or wavelength) and is given by the equation:

Ephoton = h×νphoton= (h×c)/ λphoton. In UV–vis spectroscopy, the absorption of a photon typically corresponds to the promotion of an electron from an occupied MO (HOMO) to an unoccupied one (LUMO). The HOMO-LUMO transition requires the least energy, so it corresponds to the longest-wavelength UV-vis absorption. In other words, the longest-wavelength UV–vis absorption band corresponds to the HOMO–LUMO transition of the organic compound.

Answer 8

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Answer 11

Ch. 15 - Prob. 15.1P Ch. 15 - Prob. 15.2P Ch. 15 - Prob. 15.3P Ch. 15 - Prob. 15.4P Ch. 15 - Prob. 15.5P Ch. 15 - Prob. 15.6P Ch. 15 - Prob. 15.7P Ch. 15 - Prob. 15.8P Ch. 15 - Prob. 15.9P Ch. 15 - Prob. 15.10P

Solution Summary: The author calculates the approximate energy difference between the HOMO and LUMO for the given UV-vis spectrum.

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