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IPC Friedrich-Schiller-Universität Jena 1 Molecular orbital Electronic configuration Electronic states UV/Vis-absorption spectrum 4. Molecular many electron systems: electronic & nuclear movement * : antibinding
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IPC Friedrich-Schiller-Universität Jena 2 2 J = 0 J = 1 J = 2 J = 3 J = 4 Rotational levels v = 0 v = 1 v = 0 v = 1 v = 3 v = 4 Vibrational levels Excitation [10 -15 s] Internal conversion [10 -14 s] Fluorescence [10 -9 s] Intersystem crossing Phosphorescence [10 -3 s] S0S0 S1S1 S2S2 S3S3 S4S4 T1T1 TnTn IR- & NIR- spectroscopy UV-VIS-spectroscopy Microwave- spectroscopy 4. Molecular many electron systems: electronic & nuclear movement Jablonski-Scheme
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IPC Friedrich-Schiller-Universität Jena 3 Interpret electronic absorption spectra based on | | 2 of the vibrational levels electronic transitions (~10 -16 s) are much faster than the vibrational period (~10 -13 s) of a given molecule thus nuclear coordinates do not change during transition 5.1 Franck-Condon principle 5. UV-Vis-Absorption
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IPC Friedrich-Schiller-Universität Jena 4 Transition dipole moment for a transition between the states |i and |f : For excitation follows: Electronic transition dipole moment is developed in a rapidly converging Taylor expansion about nuclear displacements from the equilibrium position Condon approximation neglects higher order terms i.e. electronic transition dipole moment is assumed to be constant i.e. nuclear coordinates correspond to equilibrium geometry Condon approximation: Transition dipole moment: B.O.-approximation 5.1 Franck-Condon principle 5. UV-Vis-Absorption
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IPC Friedrich-Schiller-Universität Jena 5 = degree of redistribution of electron density during transition = degree of similarity of nuclear configuration between vibrational wavefunctions of initial and final states. Transition probability is proportional to the square modulus of the overlap integral between vibrational wavefunctions of the two electronic states = Franck-Condon-Factor: 5.2 Franck-Condon principle 5. UV-Vis-Absorption
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IPC Friedrich-Schiller-Universität Jena 6 |i |f |i |f 5.1 Franck-Condon principle 5. UV-Vis-Absorption
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IPC Friedrich-Schiller-Universität Jena 7 5.2 Molecular electronic transitions 5. UV-Vis-Absorption Molecular electronic transitions: valence electrons are excited from one energy level to a higher energy level. Electrons residing in the HOMO of a sigma bond can get excited to the LUMO of that bond: σ → σ* transition. Promotion of an electron from a π-bonding orbital to an antibonding π * orbital: π → π* transition. Auxochromes with free electron pairs denoted as n have their own transitions, as do aromatic pi bond transitions. The following molecular electronic transitions exist: σ → σ* π → π* n → σ* n → π* aromatic π → aromatic π* * n *n * (C=C, C=O) (C=O, C=N, C=S) (–Hal, -S-, -Se- etc.)
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IPC Friedrich-Schiller-Universität Jena 8 5.2 Transition metal complexes A biologically very important group of metal complex bonds are the porphyrin pigments such as: Hemoglobin (pigment of the blood, central ion Fe 2+ ) Cytochromes of respiratory chain Chlorophyll (green molecules in leaves, central atom Mg) 5. UV-Vis-Absorption octahedron structure motive The four ligand positions of the base of the pyramid are occupied by the lone electron pairs of nitrogen atoms of the plane porphyrin ring system The two corners of the pyramid are occupied by specific amino acids (histidine) and/or by an oxygen molecule (hemoglobin) Heme-group
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IPC Friedrich-Schiller-Universität Jena 9 Cytochrome C: Pyramid corners of heme unit are occupied by N-atom of a histidine residue and S-atom of a mezhionine residue Redox change of cytochromes predominatly occurs at the central iron atom [(Fe 2+ ) ↔ (Fe 3+ )] -Peaks = sensitive for redox change (analysis of mitochondria) 5.2 Transition metal complexes 5. UV-Vis-Absorption
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IPC Friedrich-Schiller-Universität Jena 10 5.2 Transition metal complexes Hemoglobin (iron is always found as Fe 2+ ) Arterial oxygen-loaded blood= light red Blood in veines free of oxygen=deep red Desoxy Hemoglobin (Fe 2+ / 92 pm / high spin) End-on coordination of O 2 (Fe 2+ / 75 pm / low spin) 0,4 A ° B 5. UV-Vis-Absorption
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IPC Friedrich-Schiller-Universität Jena 11 Fundamental terms: Polarimetry, optical rotation, circular birefringence: turning of the plane of linearly polarized light Optically active molecules exhibit different refractive indices for right n R and left n L polarized light n R ≠ n L Optical rotatory dispersion (ORD): Wavelength dependency of rotation Allows determination of absolute configuration of chiral molecules Circular dichroism: linearly polarized light is transformed into elliptically polarized light upon traveling through matter Different absorption coefficients for left and right circular polarized light ( R ≠ L ). 5.3 Polarimetry & Optical rotatory dispersion & Circular dichroism 5. UV-Vis-Absorption
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IPC Friedrich-Schiller-Universität Jena 12 Polarimetry What happens if light interacts with chiral molecules? Enantiomeric molecules interact differently with circular polarized light. Polarizability depends on direction of rotation of incoming circular polarized light Optically active substances exhibit different refractive indices for right n R and left n L polarized light n R ≠ n L 5. UV-Vis-Absorption 5.3 Polarimetry & Optical rotatory dispersion & Circular dichroism
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IPC Friedrich-Schiller-Universität Jena 13 Polarimetry: Linearly polarized light Different refractive index for its left and right circular constituents Relative phase shift between left and right Vector addition yields again linear polarized light with rotated polarization plane 5. UV-Vis-Absorption 5.3 Polarimetry & Optical rotatory dispersion & Circular dichroism Sample cell Incoming light Transmitted light phase shift EyEy ExEx
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IPC Friedrich-Schiller-Universität Jena 14 Polarimetry: For follows: Na-D line =589 nm 2-Butanol =11.2° (Messwert) T=20°C l=1dm Difference is rather small! Due to the different refractive indices a phase difference = L – R builds up in the active medium which is proportional to the path length l. When exiting the medium linear polarized light where the oscillation plane is rotated by /2 arises It follows: l 5. UV-Vis-Absorption 5.3 Polarimetry & Optical rotatory dispersion & Circular dichroism
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IPC Friedrich-Schiller-Universität Jena 15 Polarimetry The measured angle-of-rotation results in: Specific rotation is a substance specific constant (dependent on temperature and wavelength) and is a measure for the optical activity of this particular substance. Molar rotation is defined as follows: in angular degree, length in decimeter(!) and c in g ml -1. 5. UV-Vis-Absorption 5.3 Polarimetry & Optical rotatory dispersion & Circular dichroism
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IPC Friedrich-Schiller-Universität Jena 16 Optical rotatory dispersion(ORD) ORD measures molar rotation [ ] as function of the wavelength! If the substance to be investigated has no electronic absorption within the investigated spectral region the following ORD spectra are obtained Reason: refractive indices for left and right polarized light change differently with wavelength (rotatory dispersion is proportional to refractive index difference). ORD-spectra of 17ß- and 17 - hydroxy-5 -androstan 5. UV-Vis-Absorption 5.3 Polarimetry & Optical rotatory dispersion & Circular dichroism
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IPC Friedrich-Schiller-Universität Jena 17 Optical rotatory dispersion(ORD) Refractive indices for left and right polarized light exhibit anomalous dispersion in the range of an absorption band Cotton effect Positiv negativ Cotton effect 5. UV-Vis-Absorption 5.3 Polarimetry & Optical rotatory dispersion & Circular dichroism
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IPC Friedrich-Schiller-Universität Jena 18 Optical rotatory dispersion(ORD) Quantitative theoretical correlations between molecular structure and ORD (Cotton effect) are difficult to derive; Empirical investigation are important: ORD has been successfully applied for constitution elucidation e.g. to position carbonyl groups in complex optically active molecules. By comparing ORD curves for structurally isomeric ketons (reference material needed!) the keto group can be localized. ORD curve of molecule (2) is a superposition of a negative curve i.e. molecular skeleton without a chromophore (background curve) and a positive Cotton curve (C=O chromophore). ORD-Spektren von 5 -Spirostan und 5 - Spirostan-3-on 5. UV-Vis-Absorption 5.3 Polarimety & Optical rotatory dispersion & Circular dichroism
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IPC Friedrich-Schiller-Universität Jena 19 Circular Dichroism (CD) Enantiomeric molecules exhibit besides different refractive indices for left and right circular polarized light also different absorption coefficients: It follows: left and right circular components ORD : different retardation CD also different absorption Transmitted light is elliptically polarized. Circular Dichroism 5. UV-Vis-Absorption 5.3 Polarimetry & Optical rotatory dispersion & Circular dichroism EyEy ExEx
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IPC Friedrich-Schiller-Universität Jena 20 Circular Dichroism (CD) [10 -1 × deg × cm 2 × g -1 ] [10 × deg × cm 2 × mol -1 ] The ratio between short and the long elliptical axis is defined as tangent of an angle , the so called ellipticity (tan = b/a): a = E R + E L b = E R - E L The specific ellipticity is defined as: where 0bs is the experimentally determined ellipticity. The molar ellipticity is defined as: 5. UV-Vis-Absorption 5.3 Polarimetry & Optical rotatory dispersion & Circular dichroism
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IPC Friedrich-Schiller-Universität Jena 21 Circular Dichroism (CD) Signal heights are displayed either as absorption difference or as ellipticity [ ]. Molar ellipticity and circular dichroism can be interconverted: Correlation between ORD and CD: ORD is based on the different refractive indices of left and right circular polarized light (n R ≠ n L ) CD results from the different absorption behavior for left and right circular polarized light ( R ≠ L ) Connection of both phenomena via Kronig-Kramer relationship: This relation allows the calculation of an ORD value for a particular wavelength from the corresponding CD spectrum grad cm 2 dmol -1 5. UV-Vis-Absorption 5.3 Polarimety & Optical rotatory dispersion & Circular dichroism
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IPC Friedrich-Schiller-Universität Jena 22 Circular Dichroismus (CD) Simple model: For an electronic transition to be CD active the following must be true: µ e is the electronic transition dipole moment (= linear displacement of electrons upon transition into an excited state) µ m is the magnetic transition moment (= radial displacement of electrons upon excited state transition) Scalar product is characterized by a helical electron displacement. Depending on the chirality of the helix preferably more right or left circular polarized light will be absorbed, respectively. Electronic transitionMagnetic transitionOptical activity 5. UV-Vis-Absorption 5.3 Polarimetry & Optical rotatory dispersion & Circular dichroism
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IPC Friedrich-Schiller-Universität Jena 23 Circular Dichroism (CD) Application field: -sheet random coil -helix 5. UV-Vis-Absorption 5.3 Polarimetry & Optical rotatory dispersion & Circular dichroism
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IPC Friedrich-Schiller-Universität Jena 24 Circular Dichroism (CD) Application field: Typical reference CD spectra: Poly-L-Lysine in different conformations: -Helix, -sheet and random coil. Temperature dependent CD spectra of insuline: For increasing temperature the molecule changes form -helix into the denaturated random coil form with ß-sheet contributions. 5. UV-Vis-Absorption 5.3 Polarimetry & Optical rotatory dispersion & Circular dichroism
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IPC Friedrich-Schiller-Universität Jena 25 Vibrational transitions in the IR and NIR VCD monitors difference in absorption between left and right circular polarized light Vibrational-Circular-Dichroism (VCD) v=0 v=1 5. UV-Vis-Absorption 5.3 Polarimetry & Optical rotatory dispersion & Circular dichroism
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IPC Friedrich-Schiller-Universität Jena 26 Determination of the absolute configuration Vibrational-Circular-Dichroism (VCD) ( )-Mirtazapine Advantages VCD vs. CD Electronic chromophore is not necessary VCD exhibits more characterisitic bands 5. UV-Vis-Absorption 5.3 Polarimetry & Optical rotatory dispersion & Circular dichroism
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IPC Friedrich-Schiller-Universität Jena 27 6. Fluorescence Spectroscopy
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IPC Friedrich-Schiller-Universität Jena 28 J = 0 J = 1 J = 2 J = 3 J = 4 Rotational levels v = 0 v = 1 v = 0 v = 1 v = 3 v = 4 Vibrational levels Excitation [10 -15 s] Internal conversion [10 -14 s] Fluorescence [10 -9 s] Intersystem crossing Phosphorescence [10 -3 s] S0S0 S1S1 S2S2 S3S3 S4S4 T1T1 TnTn IR- & NIR- spectroscopy UV-VIS-spectroscopy Microwave- spectroscopy 6. Basic concepts in fluorescence spectroscopy
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IPC Friedrich-Schiller-Universität Jena 29 Energy differences between vibrational states which determine vibronic band intensities are very often the same for ground and electronic excited state Emission spectrum = mirror image of absorption spectrum Emission bands are shifted bathochromically i.e. to higher wavelengths = Stokes-Shift due to vibrational energy relaxation within electronic excited state 6.1 Stokes-Shift 6. Basic concepts in fluorescence spectroscopy
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