Difference between revisions of "PChem322 f20 w5"
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::- construction/destruction of waves | ::- construction/destruction of waves | ||
::- Classical Non-Dispersive Wave Equation (eq. 2.11) | ::- Classical Non-Dispersive Wave Equation (eq. 2.11) | ||
| − | :* Derivation of Classical Non-Dispersive Wave Equation to QM Equivalent/time- | + | :* Derivation of Classical Non-Dispersive Wave Equation to QM Equivalent/time-independent Schrodinger Eq. (Sec 2.3 - eq.2.21) |
:* Basics of Operator Algebra (operator, eignefunction, eigenvalue) (Sec 2.4) | :* Basics of Operator Algebra (operator, eignefunction, eigenvalue) (Sec 2.4) | ||
:* Orthogonal (eq. 2.31), Normalized (see ex prob 2.6), and complex conjugate. (Sec. 2.5) | :* Orthogonal (eq. 2.31), Normalized (see ex prob 2.6), and complex conjugate. (Sec. 2.5) | ||
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==Friday, Feb 26, 2021== | ==Friday, Feb 26, 2021== | ||
| + | No class | ||
Latest revision as of 14:04, 3 March 2021
Mon, Feb 22, 2021
Section 4.3 cont.
more about degeneracy...
- - when ax≠ay≠az --> calculate energies
- Degeneracy Excel worksheet
Section 4.4
Weds, Feb 24, 2021
Review
Chapter 1
- Blackbody Radiation, Figure 1.2 with frequency axis (Sec 1.3)
- Photoelectric Effect, Figure 1.4 (Sec 1.4)
- Particle-Wave Duality (sec 1.5/1.6 - eq. 1.11)
- Emission Spectra/Rydberg Eq. (Sec 1.7 - eq. 1.13)
Chapter 2
- Properties of Waves (Sec 2.2)
- - Standing wave derivation (eq. 2.10)
- - construction/destruction of waves
- - Classical Non-Dispersive Wave Equation (eq. 2.11)
- Derivation of Classical Non-Dispersive Wave Equation to QM Equivalent/time-independent Schrodinger Eq. (Sec 2.3 - eq.2.21)
- Basics of Operator Algebra (operator, eignefunction, eigenvalue) (Sec 2.4)
- Orthogonal (eq. 2.31), Normalized (see ex prob 2.6), and complex conjugate. (Sec. 2.5)
Chapter 3
- Postulate 1 - wave function fully describes particle (sec 3.1)
- Postulate 2 - operators (sec 3.2)
- Postulate 3 - eignevalues (sec 3.3)
- Postulate 4 - Expectation Value (sec 3.4)
Chapter 4
- Particle in a 1D Box (Sec 4.2)
- - boundary conditions
- - acceptable wavefunction (eq. 4.13)
- - normalization of wavefunction (eq. 4.15)
- - energy (eq. 4.17)
- 2D/3D Boxes (Sec 4.3)
- - 2D/3D wavefunctions
- - 2D/3D energy
- Applying Postulates (Sec 4.4)
- - Probability of finding particle in a region of box (Ex. Prob 4.3)
- - Expectation Value (Ex. Prob. 4.4)
Chapter 5, partial (lab)
- A "real-life" 1D PIB - conjugated diene/polyene
- - wavefunction (same as 1D box)
- - energy levels (calculated using 1D box energy)
- - given a conjugated polyene
- determine molecular/box length (WebMO)
- considering the number of π-electrons, evaluate the "n" associated with the HOMO and LUMO.
- predict λmax --> ΔE=hc/λ.
- given λmax predict molecular length (ie. box length)
Additional Skills
- Proficient with Excel
- - basics of spreadsheets/graphing
- - using global variable/universal constants
- Proficient with Igor
- - how to "load waves"
- - graphing
- - layout
- Proficient with Mathematica
- - Plot function
- - Sin function
- - Manipulate function
- Proficient with WebMO
- -starting jobs/drawing structures/submitting jobs/viewing results
- Proficient in operating the UV-Vis Spectrophotometer
- - Turn on instrument
- - Prepare sample
- - Blank instrument
- - Collect sample data
- - save data (.CSV) to USB and transfer to Igor/Excel
Thurs, Feb 25, 2021
Exam 1 (Ch 1-5)
Friday, Feb 26, 2021
No class