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Optical Electronic Spectroscopy 1
Lecture Date: January 23rd, 2008
The Electromagnetic Spectrum
UV-Visible X-ray
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What is Electronic Spectroscopy?
Spectroscopy of the electrons surrounding an atom or a molecule: electron energy-level transitions
Atoms: electrons are in hydrogen-like orbitals (s, p, d, f)
From http://education.jlab.org
(The Bohr model for nitrogen)
Molecules: electrons are in molecular orbitals (HOMO, LUMO, …)
(The LUMO of benzene)
Optical Electronic Spectroscopy
Definition: Spectroscopy in the optical (UV-Visible) range involvingelectronic energy levels excited by electromagnetic radiation (often valence electrons).
This lecture is related to the “high-energy” (“non-optical”) electron spectroscopy covered in the X-ray lecture
Methods:
– Atomic absorption
– Atomic emission (e.g ICP-OES) – Molecular UV-Visible absorption
– Luminescence, Fluorescence, Phosphorescence
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Definitions of Electronic Processes
Emission: radiation produced by excited molecules, ions, or atoms as they relax to lower energy levels.
Absorption: radiation selectively absorbed by molecules, ions, or atoms, accompanied by their excitation (or promotion) to a more energetic state.
Luminescence: radiationproduced by a chemical reaction or internal electronic process, possibly following absorption.
More Electronic Processes
Fluorescence: absorption of radiation to an excited state, followed by emission of radiation to a lower state of the same multiplicity
– Occursabout 10-5 to 10-8 seconds after photon absorption
Phosphorescence: absorption of radiation to an excited state, followed by emission of radiation to a lower state of different multiplicity
– Occursabout 10 to 10-5 seconds after photon absorption
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What is Emission?
Atoms/molecules are driven to excited states (in this case electronic states), which can relax by emission of radiation.
M + heat M*
Higher energy
ΔE = hn Lower energy
Other process can be active, such as “non-radiative” relaxation (e.g. transfer of energy by random collisions).
M* M + heat
OES = Optical Emission Spectroscopy
What is Absorption?
Electromagnetic radiation travels fastest in a vacuum.
– WhenEM radiation travelsthrough a substance, it can be slowed by propagation “interactions” that do not cause frequency (energy) changes:
ni =
c i
c = the speed of light (~3.00 x 108 m/s)
i = the velocity of the radiation in the medium in m/s ni = the refractive index at the frequency i
Absorption does involve frequency/energy changes, since the energy of EM radiation is transferred to a substance, usually at specific frequencies corresponding to natural atomic or molecular energies
– Absorption occurring at optical frequenciesinvolveslow to mid-energy electronic transitions.
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Absorption and Transmission Transmittance:
T = P/P0 P0 P
Absorbance:
A= -log10 T = log10 P0/P b
Ais linear vs. b! (Apreferred overT)
Graphs fromhttp://teaching.shu.ac.uk/hwb/chemistry/tutorials/molspec/beers1.htm
The Beer-Lambert Law
The Beer-Lambert Law (a.k.a. Beer’s Law): A= ebc
Wherethe absorbanceAhas no units, sinceA= log10 P0 / P e is the molar absorbtivity with units of L mol-1 cm-1
b is the path length of the sample in cm
c is the concentration of the compound in solution, expressed in mol L-1 (or M, molarity)
Beer’s law can be derived from a model that considers infinitesimal portions of a “block” absorbing photons in their cross-sections, and integration over the entire block
– Beer’s law is derived under the assumption that the fractionof the light absorbed by each thin cross-section of solution is the same
– See pp. 302-303 of Skoog, et al. for details
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