Particle in a Box Lab
Particle in a Box Lab
March 25, 2014
Kassandra Brady, Samantha Imler, & Michael Montone
CHEM 353
Abstract:
Introduction:
Method I: Absorption Spectra of Conjugated Dyes
This method analyzes a series of dyes with alternating double bonds. It is assumed that the π electrons are free to move and ignoring the electro static repulsion among the π electrons themselves.
The theoretical model applied in this experiment is the particle in the box. The model states that a single particle moves free along a line but will remained constrained to its limits.
En = n2h2 (1) 8mL2
The experiment used the absorption of photon of dye as the transition of an electron of the particle in the box levels as it moved to a higher level. So it was expected that the energy absorbed by the photon to be equal to the difference between the energies of the levels.
ΔE = h2 (2ni+1) (2) 8mL2
λ = 8mcL2 (3) h(2ni + 1)
The transition moment of is a product of the light at the correct frequency need to produce that transition.
μ12 = e 0L ψ2 (x)(x-L/2)ψ1(x)dx (4)
μ12 = e 0L ψ2 (x)xψ1(x)dx (5)
It is the central theoretical quantity that determines the intensities. The area under each curve determines the absorption strengths for the dyes.
ε(ν)dν = -c ε(λ)dλ (6) λ02
Method II: Influence of Dielectric Constants on the Spectral Behavior of Pinacyanol
This experiment observed the spectral behavior of Pinacyanol in a methanol- water mixture. The main focus of the lab was to observe to the influence of the
March 25, 2014
Kassandra Brady, Samantha Imler, & Michael Montone
CHEM 353
Abstract:
Introduction:
Method I: Absorption Spectra of Conjugated Dyes
This method analyzes a series of dyes with alternating double bonds. It is assumed that the π electrons are free to move and ignoring the electro static repulsion among the π electrons themselves.
The theoretical model applied in this experiment is the particle in the box. The model states that a single particle moves free along a line but will remained constrained to its limits.
En = n2h2 (1) 8mL2
The experiment used the absorption of photon of dye as the transition of an electron of the particle in the box levels as it moved to a higher level. So it was expected that the energy absorbed by the photon to be equal to the difference between the energies of the levels.
ΔE = h2 (2ni+1) (2) 8mL2
λ = 8mcL2 (3) h(2ni + 1)
The transition moment of is a product of the light at the correct frequency need to produce that transition.
μ12 = e 0L ψ2 (x)(x-L/2)ψ1(x)dx (4)
μ12 = e 0L ψ2 (x)xψ1(x)dx (5)
It is the central theoretical quantity that determines the intensities. The area under each curve determines the absorption strengths for the dyes.
ε(ν)dν = -c ε(λ)dλ (6) λ02
Method II: Influence of Dielectric Constants on the Spectral Behavior of Pinacyanol
This experiment observed the spectral behavior of Pinacyanol in a methanol- water mixture. The main focus of the lab was to observe to the influence of the