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Testing Lewis Formulas and VSEPR Models with Quantum Theory VI. Advanced Option. Analyzing molecular geometry and dipole moment 1. Actual bond angles. Only in certain symmetric molecules do the bond angles equal the exact nominal value. More commonly, the different effective sizes of lone pairs, double bonds, and single bonds cause variations in bond angles of up to about ± 5° from the nominal values. The effective sizes of different bonds and lone pairs decrease in the order: lone pair > double bond > single bond. Lone pairs are large and diffuse because there is only one nucleus to attract the electron pair. Double bonds are larger than single because they contain four electrons rather than two. Electron Pair # Lone Nominal Bond Actual Bond Molecular shape Geometry Pairs Angle (°) Angle (°) Linear 0 Linear 180 180 Trigonal planar 1 Bent 120 < 120 0 Trigonal planar 120 >, =, or < 120 Tetrahedral 2 Bent 109 < 109 1 Trigonal pyramidal 109 < 109 0 Tetrahedral 109 >, =, or < 109 Trigonal Linear 3 180 180 bipyramidal* 2 See-saw 90, 120 < 90, < 120 1 T-shaped 90 < 90 0 Trigonal bipyramidal 90, 120 >, =, or < 90, 120 Octahedral* 2 Square pyramidal 90 >, =, or < 90 1 Square planar 90 >, =, or < 90 0 Octahedral 90 >, =, or < 90 *Only nearest neighbor bond angles are included here. Choose a nonlinear molecule or ion from Part I and open the WebMO job for the correct molecular geometry. Measure several bond angles, print out the structure, or make a drawing, and label the various angles. List the bond angles, and tell how they differ from the nominal values, and discuss how any differences are (or are not) consistent with the orbital size requirements mentioned above. 2. Molecular dipole. The unequal distribution of electrons within an ion or molecule sets up an electric field called the molecular dipole. This can be thought of as the vector sum of bond dipoles, which in turn arise from partial charge differences between bonded atoms. A lone pair can also be assigned its local dipole. In the Part 1 WebMO page, click the magifying glass icon inside the Partial Charges box. Print, or make a drawing of, the partial charges. Draw in estimated bond dipoles, and “eye-ball” the vector sum of these. Finally, in WebMO, click the icon next to Dipole Moment to display the PM3-calculated dipole moment. Print or draw this. 1 Example Thioformate (PM3) S-C-O: 131.73° H-C-S: 114.11° H-C-O: 114.16° The C-S bond is rather large due to the large size of S. The C-S bond results from overlap of S 2s with C 1s. Testing Lewis Formulas and VSEPR Models with Quantum Theory VI. Use the Internet to track down occurences of trigonal bipyramidal or octahedral atoms in nature Molecules with the trigonal bipyramidal or octahedral molecular geometry seem rather exotic at first glance. However, these bonding patterns are surprisingly common in nature and in manufactured substances, and atoms like this ultimately play important roles in many natural chemical processes. Using an Internet search engine, enter in the search box “trigonal bipyramidal” or “octahedral”, plus “enzyme”, “drug”, “gene”, “cancer”, “ore”, or “catalyst”, or other term related to your scientific or engineering interests that may have a chemistry connection. In the resulting hit list, locate a scientific article or webpage (not Wikipedia) that describes a molecule, ion, or complex material containing a bonded atom with (approximate or exact) trigonal bipyramidal (or octahedral) molecular geometry. You may use other linked web sources to find out more about the terms, concepts, or background on this substance. Write a one-page report including the following: Your name, date, lab section, teaching assistant Name and description of the compound or substance, including the atoms or groups occupying the five (or six) positions around the central atom. Geometric parameters, such as actual bond angles and bond distances. Optional: To better understand the molecule’s geometry and bonding, you may wish to build and optimize it using WebMO with PM3 method, or Import the XYZ coordinates if you can find them. Other molecular modeling software that may be available to you could be used as well. Picture of molecule. Function of the molecule or substance: what does it do? Why is it useful or important? Names and affliations (university or manufacturing company) of scientists or engineers who discovered, synthesized, or studied the molecule. List the URLs and other bibliographic information for the sources that you used, such as an article’s author(s), title, journal, pages, and year. Example. Entering the terms “octahedral gene” in Google Chrome search box, the 8th hit was “Trans- and Cis-Water Reactivities in d6 Octahedral Ruthenium..” http://tinyurl.com/pc3c9no. I noticed that on this page, there is a list of Citing Articles, that is, more recent articles that cite this as a footnote. Of particular interest from a medical point of view was a 2008 article in the Journal of Physical Chemistry by Besker et al. entitled “Aquation of the Ruthenium-Based Anticancer Drug NAMI-A” http://tinyurl.com/pumplhx Figure. (L) From Besker et al. (R) optimized by PM6 with WebMO. 2