Time out states and transitions



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Time out states and transitions Spectroscopy transitions between energy states of a molecule excited by absorption or emission of a photon hn = DE = E i - E f Energy levels due to interactions between parts of molecule (atoms, electrons and nucleii) as described by quantum mechanics, and are characteristic of components involved, i.e. electron distributions (orbitals), bond strengths and types plus molecular geometries and atomic masses involved

Spectroscopic Regions Typical wavelength Approximate energy Spectroscopic region Techniques and Applications (cm) (kcal mole-1) 10-11 3 x 10 8 -ray MÖssbauer 10-8 3 x 10 5 X-ray x-ray diffraction, scattering 10-5 3 x 10 2 Vacuum UV Electronic Spectra 3 x 10-5 10 2 Near UV Electronic Spectra 6 x 10-5 5 x 10 3 Visible Electronic Spectra 10-3 3 x 10 0 IR Vibrational Spectra 10-2 3 x 10-1 Far IR Vibrational Spectra 10-1 3 x 10-2 Microwave Rotational Spectra 10 0 3 x 10-3 Microwave Electron paramagnetic resonance 10 3 x 10-4 Radio frequency Nuclear magnetic resonance Adapted from Table 7-1; Biophysical Chemistry, Part II by Cantor and Schimmel

Spectroscopic Process Molecules contain distribution of charges (electrons and nuclei, charges from protons) and spins which is dynamically changed when molecule is exposed to light In a spectroscopic experiment, light is used to probe a sample. What we seek to understand is: the RATE at which the molecule responds to this perturbation (this is the response or spectral intensity) why only certain wavelengths cause changes (this is the spectrum, the wavelength dependence of the response) the process by which the molecule alters the radiation that emerges from the sample (absorption, scattering, fluorescence, photochemistry, etc.) so we can detect it These tell us about molecular identity, structure, mechanisms and analytical concentrations

Magnetic Resonance different course Long wavelength radiowaves are of low energy that is sufficient to flip the spin of nuclei in a magnetic field (NMR). Nuclei interact weakly so spectral transitions between single, well defined energy levels are very sharp and well resolved. NMR is a vital technique for biological structure studies. Higher energy microwaves can promote changes in the rotational motions of gas phase molecules, which is the basis of microwave rotational spectroscopy (not a method of biological importance). Microwaves are also used for spin-flips of electrons in magnetic fields (ESR or EPR), important for free radicals and transition metal systems (open shell). Magnetic dipole coupling can be used to measure distances between spins growing importance in peptides and proteins.

Optical Spectroscopy - Processes Monitored UV/ Fluorescence/ IR/ Raman/ Circular Dichroism Excited State (distorted geometry) Ground State (equil. geom.) Diatomic Model n 0 n S Absorption hn = E grd - E ex Fluorescence hn = E ex - E grd Raman: DE = hn 0 -hn s = hn vib Analytical Methods UV-vis absorp. & Fluorescence. move e - (change electronic state) high freq., intense CD circ. polarized absorption, UV or IR Raman nuclei, inelastic scatter very low intensity molec. coord. Infrared: DE = hn vib Q IR move nuclei low freq. & inten.

Optical Spectra--topic of the course Infrared radiation excites molecular vibrations, i.e. stretching of bonds and deformation of bond angles. Molecule has 3N-6 internal degrees of freedom, N atoms. States characterize the bound ground state. Radiation in the visible (Vis) and ultraviolet (UV) regions, will excite electrons from the bound (ground) state to more weakly bound and dissociative (excited) states. Changes in both the vibrational and rotational states of the molecule can be associated with this, causing the spectra to become broadened or have fine structure. These motions are sampled in absorption, emission or scattering

Optical Spectroscopy Electronic, Example Absorption and Fluorescence (M -1 cm -1 ) Essentially a probe technique sensing changes in the local environment of fluorophores What do you see? Intrinsic fluorophores eg. Trp, Tyr Change with tertiary structure, compactness Amide absorption broad, Intense, featureless, far UV ~200 nm and below

Optical Spectroscopy - IR Spectroscopy Protein and polypeptide secondary structural obtained from vibrational modes of amide (peptide bond) groups Aside: Raman is similar, but different amide I, little amide II, intense amide III What do you see? Model peptide IR Amide I (1700-1600 cm -1 ) a Amide II (1580-1480 cm -1 ) b rc Amide III (1300-1230 cm -1 ) I II

Spectroscopy Study of the consequences of the interaction of electromagnetic radiation (light) with molecules Light beam characteristics - wavelength (frequency), intensity, polarization - determine types of transitions and information accessed z y E z B x B E x l n = c/l k y

Light Polarization [courtesy Hinds Inc. brochure] R lin = 0 R R = l/4 R L = -l/4 Linear Polarization Preserved in isotropic medium Right Circular Polarization Left Circular Polarization Phase retard orthogonal polarizations forward or back with birefringent medium

Light (E-M Radiation) Characteristics Frequency matches change in energy, type of motion E = hn, where n = c/l (in sec -1 or Hz) Intensity increases the transition probability Absorbance I ~ 2 where is the Electric Field strength in the radiation Absorbance is ratio A = -log(i/io) Linear Polarization aligns to direction of dipole change A ~ [dm/dq] 2 where Q is the coordinate of the motion Circular Polarization results from an interference: hn R ~ Im(m m) m and m are electric and magnetic dipole A Absorbance 1.2.8.4 0 IR of an oil C-H C=O CH 2 C-C 4000 3000 2000 1000 Frequency ( cm -1)

Techniques of Absorption Spectroscopy UV-vis and Infrared spectroscopy deals with absorption of radiation--detect attenuation of beam by sample at detector radiation source Frequency selector I o Sample T = I/I o transmitted radiation I A = -log 10 (T) detector Dispersive spectrometers measure transmission as a function of frequency (wavelength) - sequentially--same as typical CD Interferometric spectrometers measure intensity as a function of mirror position, all frequencies simultaneously--multiplex advantage

Dispersive and FT-NIR Spectrometer Wolfram-Lampe(Tungsten lamp); Gitter(Grating); Spalt(Slit); Lichtquelle(Light source); Spiegel(Mirror), Detektor(Detector); Probe(Sample), Spektrum(Spectrum)

Dispersive Fluorescence or Raman -use filter or double monochromator to eliminate the intense Rayleigh scattered & reflected light --Fluorescence not big problem Raman typically 10 8 weaker than excitation Disperse the light onto a detector to generate a spectrum Sample Laser Lens Filter Polarizer Single, double or triple monochromator Detector: PMT or CCD for multiplex Detect intensity, I, against zero background--ideal

Spectroscopy Study of the consequences of the interaction of electromagnetic radiation (light) with molecules. Light beam characteristics - wavelength (frequency), intensity, polarization - determine types of transitions and information accessed. Frequency matches change in energy, type of motion E = hn, where n = c/l (in sec -1 ) Intensity increases the transition probability Linear Polarization aligns to direction of dipole change I ~ [dm/dq] 2 where Q is the coordinate of the motion Circular Polarization results from an interference: Im(m m) m and m are electric and magnetic dipole

Comparison of UV-CD, VCD and IR UV-CD VCD IR Measurement DA = A L -A R A Theoretical R = Im(m m) D =m m Experimental R = 0.23 x 10-38 D /n dn D = 0.92x10-38 /ndn Sensitivity high low to 3-D structure Molecular transitions p - p*, n - p* C=O, C=C, C=N PO 2-, C-O, N-H, etc Chromophore delocalized localized, each bond Nucleotide weak negligible strong Helical polymer strong strong strong Observed signal size (A=1) 10-2 -10-3 10-4 -10-5 1