chem 314 problem set #6

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Chemistry 314 - Spring 2015 Problem Set #6 Due: Friday, March 6. Problems from McQuarrie 5-13 5-15 5-21 (Only show that 1 () satisfies the Schrödinger equation) 5-22 (Only show that 0 () is orthogonal to 1 () and 2 () and that 1 () is orthogonal to 3 ().) 5-26 5-29 5-41 (Use 300. K and 2000. K for significant figures) Additional Problems 1) For the infrared spectrum of 1 H 35 Cl there is an intense line at 2886 cm −1 . Calculate the force constant of 1 H 35 Cl. 2) 2 H 35 Cl has the same force constant as 1 H 35 Cl (additional problem #1). What is the fundamental vibrational frequency of 2 H 35 Cl in wavenumbers (cm −1 )?

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Page 1: CHEM 314 Problem Set #6

Chemistry 314 - Spring 2015

Problem Set #6 Due: Friday, March 6.

Problems from McQuarrie

5-13

5-15

5-21 (Only show that 𝜓1 (𝑥) satisfies the Schrödinger equation)

5-22 (Only show that 𝜓0 (𝜉) is orthogonal to 𝜓1 (𝜉) and 𝜓2 (𝜉) and that 𝜓1 (𝜉) is

orthogonal to 𝜓3 (𝜉).)

5-26

5-29

5-41 (Use 300. K and 2000. K for significant figures)

Additional Problems

1) For the infrared spectrum of 1H35Cl there is an intense line at 2886 cm−1 .

Calculate the force constant of 1H35Cl.

2) 2H35Cl has the same force constant as 1H35Cl (additional problem #1). What is

the fundamental vibrational frequency of 2H35Cl in wavenumbers (cm−1)?