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3.11 Spectroscopy and the Electromagnetic Spectrum & 3.13 Beer-Lambert Law

Chapter Summary & Important Vocab

  • Molecular Orbital Theory

  • Electromagnetic Spectrum

  • UV/Vis Spectroscopy

  • IR Spectroscopy

  • Microwave Spectroscopy

Hybrid Orbital Theory

  • Atomic orbitals on the same atom combine in order to form hybrids.

  • Atomic orbitals on different atoms overlap in order to form covalent bonds.

  • Each atom in the compound retains its associated orbitals and electrons.

  • This theory correlates with observed bond angles in molecules.

Molecular Orbital (MO) Theory

  • Views a molecule as a whole instead of a collection of individual atoms.

  • MO’s are similar to atomic orbitals.

    • They both have specific energy levels.

    • They both have specific sizes and shapes.

    • They can both hold a maximum of two electrons that spin in opposite directions.

  • Atomic orbitals combine to for MO’s.

    • When two atomic orbitals combine, two MO’s are formed.

    • Orbitals are always ‘conserved’.

Molecular Orbitals

  • Bonding Orbital

    • A MO that is lower in energy than any atomic orbital from which it was derived.

    • Electrons that occupy these orbitals cause stability.

  • Anti-Bonding Orbital

    • A MO that is higher in energy than any atomic orbitals from which it was derived.

    • Electrons that occupy these orbitals cause instability.

  • Non-Bonding Orbital:

    • A MO that is the same energy level as the one atomic orbital that it was derived from.

    • Electrons that occupy these orbitals do not cause stability or instability.

    • Orbitals that contain lone pairs.

The Electromagnetic Spectrum

Spectroscopy

  • Spectroscopy:

    • A Method of analysis which is based upon the absorbance of electromagnetic radiation by matter.

    • Used to acquire data pertaining to the structure of a molecule or the concentration of a species.

    • Io = It + Ia

      • Io - Intensity of electromagnetic radiation striking sample

      • It - Intensity of electromagnetic radiation exiting sample

      • Ia - Intensity of electromagnetic radiation absorbed by the sample.

  • Two methods used for Spectroscopic analysis:

    • 1. Ultraviolet/Visual (UV/Vis) Spectroscopy

      • Examines transitions in the electronic energy levels

        • Is used to probe the electronic structure of certain compounds.

      • Is used to determine concentrations of solutions that contain certain compounds.

    • 2. Infrared (IR) Spectroscopy

      • Examines transitions in molecular vibrations

        • Is used to detect the presence of different types of bonds and to identify molecules.

Ultraviolet/Visual (UV/Vis) Spectroscopy

  • An absorption spectrometer is used to measure the absorbance of a sample at wavelengths between about 200 nm and 800 nm.

  • The peaks represent wavelengths that correspond to the energy associated with possible electronic transitions within the molecule.

  • Colorless species can only absorb UV light between about 200 nm and 400 nm in these experiments.

  • Colored species will always absorb light from the visual spectrum, but could also absorb UV light in these experiments.

Beer-Lambert Law

A = Ebc

  • A = Absorbance

  • E = Molar Absorptivity

  • b = Path Length

  • C = Concentration (M)

    • E describes how intensely a sample of ions or molecules absorbs light at a specific wavelength.

    • In most experiments, the path length and wavelength remain constant, so E also remains constant and absorbance A is only proportional to concentration, c.

Infrared (IR) Spectroscopy

  • All covalent bonds in molecules are vibrating.

  • Bond length is the average distance between nuclei.

  • Covalent bonds have a vibrational frequency that is the IR region of the electromagnetic spectrum.

  • IR radiation of exactly the same frequency will be absorbed by the molecule.

  • Vibrational frequencies depend on the mass of the atoms and the strength of the bonds.

  • Frequency is related to wavelength -c = h x v

  • IR Spectra can be used to identify bond types, functional groups, and compounds.

  • Molecules that share the same functional group, such as alcohols (-OH) or carboxylic acids (-COOH) can be identified through IR spectroscopy, as they will have absorption peaks within the same range.

  • Every compound has a characteristic IR spectrum that it can be identified through.

Microwave Spectroscopy

  • Microwaves cause polar molecules to rotate.

  • Each type of polar molecules has specific rotational frequencies that it can exhibit.

  • The peaks in the microwave spectra blow correlate with the different rotational frequencies for a specific polar molecule.

  • Data from microwave spectra can be used to calculate the bond length or diatomic polar molecules and to determine the shapes of polar molecules.

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3.11 Spectroscopy and the Electromagnetic Spectrum & 3.13 Beer-Lambert Law

Chapter Summary & Important Vocab

  • Molecular Orbital Theory

  • Electromagnetic Spectrum

  • UV/Vis Spectroscopy

  • IR Spectroscopy

  • Microwave Spectroscopy

Hybrid Orbital Theory

  • Atomic orbitals on the same atom combine in order to form hybrids.

  • Atomic orbitals on different atoms overlap in order to form covalent bonds.

  • Each atom in the compound retains its associated orbitals and electrons.

  • This theory correlates with observed bond angles in molecules.

Molecular Orbital (MO) Theory

  • Views a molecule as a whole instead of a collection of individual atoms.

  • MO’s are similar to atomic orbitals.

    • They both have specific energy levels.

    • They both have specific sizes and shapes.

    • They can both hold a maximum of two electrons that spin in opposite directions.

  • Atomic orbitals combine to for MO’s.

    • When two atomic orbitals combine, two MO’s are formed.

    • Orbitals are always ‘conserved’.

Molecular Orbitals

  • Bonding Orbital

    • A MO that is lower in energy than any atomic orbital from which it was derived.

    • Electrons that occupy these orbitals cause stability.

  • Anti-Bonding Orbital

    • A MO that is higher in energy than any atomic orbitals from which it was derived.

    • Electrons that occupy these orbitals cause instability.

  • Non-Bonding Orbital:

    • A MO that is the same energy level as the one atomic orbital that it was derived from.

    • Electrons that occupy these orbitals do not cause stability or instability.

    • Orbitals that contain lone pairs.

The Electromagnetic Spectrum

Spectroscopy

  • Spectroscopy:

    • A Method of analysis which is based upon the absorbance of electromagnetic radiation by matter.

    • Used to acquire data pertaining to the structure of a molecule or the concentration of a species.

    • Io = It + Ia

      • Io - Intensity of electromagnetic radiation striking sample

      • It - Intensity of electromagnetic radiation exiting sample

      • Ia - Intensity of electromagnetic radiation absorbed by the sample.

  • Two methods used for Spectroscopic analysis:

    • 1. Ultraviolet/Visual (UV/Vis) Spectroscopy

      • Examines transitions in the electronic energy levels

        • Is used to probe the electronic structure of certain compounds.

      • Is used to determine concentrations of solutions that contain certain compounds.

    • 2. Infrared (IR) Spectroscopy

      • Examines transitions in molecular vibrations

        • Is used to detect the presence of different types of bonds and to identify molecules.

Ultraviolet/Visual (UV/Vis) Spectroscopy

  • An absorption spectrometer is used to measure the absorbance of a sample at wavelengths between about 200 nm and 800 nm.

  • The peaks represent wavelengths that correspond to the energy associated with possible electronic transitions within the molecule.

  • Colorless species can only absorb UV light between about 200 nm and 400 nm in these experiments.

  • Colored species will always absorb light from the visual spectrum, but could also absorb UV light in these experiments.

Beer-Lambert Law

A = Ebc

  • A = Absorbance

  • E = Molar Absorptivity

  • b = Path Length

  • C = Concentration (M)

    • E describes how intensely a sample of ions or molecules absorbs light at a specific wavelength.

    • In most experiments, the path length and wavelength remain constant, so E also remains constant and absorbance A is only proportional to concentration, c.

Infrared (IR) Spectroscopy

  • All covalent bonds in molecules are vibrating.

  • Bond length is the average distance between nuclei.

  • Covalent bonds have a vibrational frequency that is the IR region of the electromagnetic spectrum.

  • IR radiation of exactly the same frequency will be absorbed by the molecule.

  • Vibrational frequencies depend on the mass of the atoms and the strength of the bonds.

  • Frequency is related to wavelength -c = h x v

  • IR Spectra can be used to identify bond types, functional groups, and compounds.

  • Molecules that share the same functional group, such as alcohols (-OH) or carboxylic acids (-COOH) can be identified through IR spectroscopy, as they will have absorption peaks within the same range.

  • Every compound has a characteristic IR spectrum that it can be identified through.

Microwave Spectroscopy

  • Microwaves cause polar molecules to rotate.

  • Each type of polar molecules has specific rotational frequencies that it can exhibit.

  • The peaks in the microwave spectra blow correlate with the different rotational frequencies for a specific polar molecule.

  • Data from microwave spectra can be used to calculate the bond length or diatomic polar molecules and to determine the shapes of polar molecules.

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