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-Styrene-


Styrene is a moderately sized aromatic product that is a derivative of ethyl benzene, and is a precursor to polystyrene which is commonly known as "Styrofoam". The structure of styrene is a planar benzene ring with a vinyl group substituted in for a hydrogen. To theoretically compute the molecular geometry for styrene, a 3 dimensional rendering of styrene was generated and evaluated using several different basis sets in the Hartree Fock Self Consistent Field (HF-SCF) method. Starting with a MOPAC basis set (AM-1), and feeding the lowest energy geometry into the next largest basis set (AM-1 -> 621-G -> 631-G -> DZV), the molecular dimensions were optimized at different levels of theory. Table #1 shows the accepted literature dimensions for bond lengths in aromatic compounds; clicking on the buttons below will show renderings of styrene at the end of each basis set calculation.
Table #1: Literature bond lengths for aromatic carbon-carbon double bonds1
Bond type
Bond length (nm)
C=C
0.1395
Seeing the stated value in table #1, the calculated basis sets all calculated close bond lengths for the carbon= carbon bonds in styrene.








---Molecular Surfaces---

Using the optimized geometry from the DZV basis set, various renderings were generated describing the physical properties of the molecule.

The molecular orbitals for Styrene were generated. The Highest Occupied Molecular Orbital (HOMO) and the Lowest Unoccupied Molecular Orbital (LUMO) were rendered, and their placement on the molecule can be seen by clicking the buttons below. Note that the different colors of the orbitals (red and blue) indicate the parity of the orbitals, and can be thought of as the + or - seen in two dimensional pictures.  Observing the shape of the HOMO orbital on styrene, these are the p orbitals on the sp2 hybridized carbons that are oriented orthogonal to the planar ring structure. The electrons found in the HOMO orbital are the electrons responsible for π bonds; the bonds that give styrene the aromatic conjugated nature and ultraviolet/Visible light absorbing capabilities that will be discussed in a little bit.








A surface of the molecular electrostatic potential was also applied to the molecule to iterate the difference in charge density. The standard unit of electric potential is the volt, but here the concept is purely to iterate the spatial charge separation in the molecule as a consequence of electronegativity and atomic orbital energy levels. The red color indicates the enhanced presence of electrons in that region, and therefore a higher negatively charged zone. To see the colorful rendering of the electrostatic potential, click the button below.



Observing the electrostatic potential for styrene, most of the red color is seen at the center of the ring at the heart of the conjugated pi bonding system. However, the electrostatic potential in this molecule is not as spatially imbalanced as hydrogen sulfide, and has a more smooth distribution of charge throughout the structure. The dipole moment of the molecule was calculated using the different levels of theory, and reported in table #2 below.

Table #2: Dipole moments of Styrene (Debeye)
AM-1
621-G
631-G
DZV
Literature1
0.020866
0.085920
0.138244
0.167534
0.13

Here the best dipole moment was calculated using 631-G basis set when comparing to the literature value of Debeye. It appears that the increased basis sets began to bring the nuclei too close together, but it is possible that the orbitals were not diffused enough to match the literature dipole moment of the molecule. The dipole moment of styrene is relatively small when compared to polar entities like hydrogen fluoride, but there is some separation of charge in styrene due to small electronegativity differences between hydrogen and carbon leading to partial charge distribution. To see the partial charge distribution of styrene click on the button below.





--Molecular Dynamics of Styrene--

Like many conjugated aromatic compounds, styrene is an active ultraviolet-visible light absorber - making it detectable and quantifiable using UV-Vis spectrometry. The π electrons found in the HOMO orbital can absorb photons (light energy), and become energetically promoted to the LUMO orbital. Go back and take a look at the HOMO and LUMO orbitals to observe how the HOMO level is primarily bonding for 3 nuclei on each side of the ring where the LUMO is slightly higher in energy due to increased anti-bonding in the molecule.

Using the calculated separation of energy between the orbitals, the UV-Vis absorbances were calculated for styrene in wavelengths and in wavenumbers. Transition energies were calculated using the ab-initio basis sets and entered into table #3.

Table #3: Theoretical UV-Visible Spectroscopy Absorbances for Styrene

621-G
631-G
DZV
Transition
Wavenumber (cm-1)
λ (nm)
Wavenumber (cm-1)
λ (nm)
Wavenumber (cm-1)
λ (nm)
G -->1
49869.55
200.5232
48335.65
206.8866
46443.50
215.3154
G -->3
62678.19
159.5451
61041.20
163.8238
58892.45
169.8011
G -->4
66973.69
149.3301
65369.74
152.9760
63069.18
158.5560
G -->6
74762.16
133.7575
73717.43
135.6531
72060.90
138.7715
G -->7
76617.02
130.5193
75260.06
132.8726
----------
-------

By observing a literature UV-Vis spectra for styrene in figure #1, the molecule absorbs strongly between wavelengths of 220nm and 255nm with a peak absorbance at 245nm. When comparing the literature spectra with the calculated results, it appears that the entire calculated spectra is centered around 169.8011nm (DZV, G -->3), and is as tightly grouped as the literature spectra, but the whole lot of calculated wavelengths appears to be shifted to a much higher frequency (and energy) light. Considering that these molecules are almost perfectly planar, it could be possible that in a physical sample, molecules "stack up" and the orthogonal orbitals interact with each other, allow for electrons to dissipate into a larger region, and lower the energy of the transitions. 

Figure #1: Literature UV-Vis Spectra For Styrene2



The bonds in Styrene can be made to move in an oscillating motion by exposure to infrared radiation. The energy separation between the vibrational modes in styrene were calculated and translated into corresponding wavenumbers for each molecular absorption. Figure #2 shows an IR spectra for styrene, and the buttons below show the molecular animations of the movements associated with each peak absorption in the spectra.

Figure #2: Literature IR spectra of Styrene3















-References-

1) Lide,D.R.,Kehiaian,H.V. CRC Handbook of Chemistry and Physics; CRC Press, Boca Raton, FL, 1973; Sec F, pg 219, Sec E, pg 63.

2)
NIST Standard Reference Database, 2013, accssed Mar, 5, 2013. http://webbook.nist.gov/cgi/cbook.cgi?ID=C100425&Units=SI&Mask=608#UV-Vis-Spec

3) Sigma Aldrich Online Catalog: http://www.sigmaaldrich.com/spectra/rair/RAIR005131.PDF


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