Difference between revisions of "PChem322 f20 w5"

Latest revision as of 14:04, 3 March 2021

...return to Chem 322 - home

Join Zoom Meeting

Mon, Feb 22, 2021

Section 4.3 cont.

more about degeneracy...

- when a_x≠a_y≠a_z --> calculate energies

Degeneracy Excel worksheet

Section 4.4

Probability of finding particle in a certain area of a 1D box

Expectation Value problem

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 λ_max --> ΔE=hc/λ.
given λ_max 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

ACS Salaries Report 2020

Thurs, Feb 25, 2021

Exam 1 (Ch 1-5)

Friday, Feb 26, 2021

No class

@@ Line 4: / Line 4: @@
 ==Mon, Feb 22, 2021==
-===Section X.X===
+===Section 4.3 cont.===
+more about degeneracy...
+:- when a<sub>x</sub>≠a<sub>y</sub>≠a<sub>z</sub> --> calculate energies
+:[[Media:Deg_Excel.pdf|Degeneracy Excel worksheet]]
+===Section 4.4===
+:[[Media:ExProb4_3.pdf|Probability of finding particle in a certain area of a 1D box]]
+:[[Media:ExProb4_4.pdf|Expectation Value problem]]
 ==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 λ<sub>max</sub> --> ''ΔE=hc/λ''.
+:::* given λ<sub>max</sub> 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
+[[Media:ACS Salary report.pdf|ACS Salaries Report 2020]]
 ==Thurs, Feb 25, 2021==
@@ Line 12: / Line 87: @@
 ==Friday, Feb 26, 2021==
+No class