Particle in a Box - Particle in a Box By Kolene McDade TA:...

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Particle in a Box By Kolene McDade TA: Subhadeep Banerjee May 7, 2009
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Results and Discussion: The wavelengths of visible absorbance bands of nine polymethine dyes,  resulting from electronic transitions involving delocalized  π  electrons, were  analyzed with a spectrometer to test the validity of the particle in a box model to  describe the delocalized  π  electrons. One experimental trial was performed. The data and calculated results were  tabulated (Table 1). Table 1: Maximum Absorbance Wavelengths and Determined Alpha Values Dye  Series Dye  Number Wavelength nm ±  0.01 Absorbance Reading ca Calculated  α ±  0.02 Average α  value: x  ±  0.1 1 1 589.37 0.998 0.0884 1 2 706.43 1.082 0.0071 1 3 813.82 0.998 -0.157 -0.2 2 1 522.13 0.940 1.57 2 2 604.46 1.003 1.241 2 3 707.10 1.035 1.050 1.3 3 1 422.86 0.987 0.817 3 2 557.89 1.075 0.878 3 3 650.96 0.950 0.602 0.8
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The calculated alpha results were calculated from the equation given in the  laboratory manual. An example of such a calculation using the dye series #1, dye  #1 data: λ   = 63.7(p + 3 +      α    )   2           p + 4 Where p is the number of carbons in the conjugated  chain, and alpha an adjustable parameter (determined  by experiment), and lambda is the wavelength in nm. 589.37 = 63.7(3 + 3 +      α    )   2       α   = 0.0884                           3 + 4 Average alpha value was calculated. An example of such a calculation using the  dye series #1, dye #1 data: X =  x i         x = (0.0884 + 0.0071 + - 0.157)        N                                 3          X = - 0.2  The wavelengths of each dye series were plotted on graphs versus the  number of carbons on the conjugated chain. Two sets of data were originally 
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This lab report was uploaded on 09/26/2007 for the course CHEM 2070 taught by Professor Chirik,p during the Fall '05 term at Cornell University (Engineering School).

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Particle in a Box - Particle in a Box By Kolene McDade TA:...

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