nanoHUB U: Organic Electronic Devices Lecture 1.1: An Introduction to Organic Electronic Materials Errata – Changes to Slides 10 and 11 Bryan W. Boudouris School of Chemical Engineering Purdue University

Determination of the Weight-average Molecular Weight (Mw) Polymers Contain a Mixture of Macromolecular Sizes 6-mer 10-mer 16-mer M0 = 100 g mol-1 Molar Mass of a Repeat Unit: Molecular Weight of an i-mer with i number of repeat units: Weight Fraction of an i-mer: Weight-average Molecular Weight:

Dispersity (Ð) and the Impact on Organic Electronic Devices Dispersity is a Measure of the Molecular Weight Distribution Dispersity of a Polymer: Dispersity of < 1.3 Can Be Thought of As Narrow Because: , Then: Dispersity Can Be Thought of in Terms of the Standard Deviation from the Average: Narrowing the Dispersity (i.e., Minimizing the Standard Deviation in) of the Polymer Chains, Increases the Ability of the Polymer to Achieve a Higher Degree of Crystallinity. This, in turn, Increases the Charge Transport Ability of the Polymer in the Solid State.

nanoHUB U: Organic Electronic Devices Lecture 1.5: Structural and Optical Characterization Errata – Change to Slide 11 Bryan W. Boudouris School of Chemical Engineering Purdue University

Large Difference in Absorption Between Solution and the Solid States P3AT: Solution State UV-Vis Absorption Spectra P3AT: Solid State UV-Vis Absorption Spectra Polymers in ~1 μM chloroform solutions Spun-coat from chloroform for a Final film thickness of ~80 nm Further Reading: Ho, V.; Boudouris, B. W.; Segalman, R. A. Macromolecules 2010, 43, 7895. Polymers in ~1 μM chloroform solutions The Shift to Longer Wavelengths (Red Shift) is Due to Solid State Aggregation

nanoHUB U: Organic Electronic Devices Lecture 2.2: The Schrödinger Equation Errata – Change to Slide 4 Bryan W. Boudouris School of Chemical Engineering Purdue University

Derivation of the 1-Dimensional Schrödinger Equation (Part II) Substitution of the 2nd Equation into the 1st Equation of the Last Slide Yields: Taking the Partial Derivative with Respect to Time Yields: Now, The Expression is Solely a Function of Position

nanoHUB U: Organic Electronic Devices Lecture 2.5: Carrier Densities in Intrinsic Semiconductors Errata – Change to Slide 9 Bryan W. Boudouris School of Chemical Engineering Purdue University

Calculation of the Hole Density (Part II) Integrating Over the Definite Integral Yields The Following Often, The Effective Density of States for the Valence Band (Nv) is Defined: So, The Following Holds

nanoHUB U: Organic Electronic Devices Lecture 3.1: Charge Transport via a Hopping Mechanism Errata – Change to Slide 5 Bryan W. Boudouris School of Chemical Engineering Purdue University

Rate of Electron Transfer is More Useful Than Probability If we assume that there will be a distribution of final energy states and that these probability densities can be integrated over all the possible values (i.e., over long times) and that the vibrational mode energies are significantly less than the thermal energy available, we can extract the following for the rate of electron transfer from the initial to the final states (kif). Change in Gibbs Free Energy Reorganization Energy We Can Rewrite the Electronic Coupling Matrix as Simply Vif and Further Reading: Marcus, R. A.; Sutin, N. Biochimica et Biophysica Acta 1985, 811, 265.

nanoHUB U: Organic Electronic Devices Lecture 3.4: Transport in Disordered Semiconductors Errata – Change to Slide 11 Bryan W. Boudouris School of Chemical Engineering Purdue University

GDM with Spatial Disorder (Part II) Then, the Mobility Can Be Written As: Width of Gaussian Distribution Site Spacing Constant At high electric fields, the first path dominates but at very large Σ or low fields, the meandering path will dominate. First Path – Moves with the Electric Field, But Large Gaps (large Σ) To Get There Electric Field Second Path – Smaller Steps, but It Is Against the Electric Field At Some Points