2 2 2 2 4 ℏ c 20 points consider a 17 o 2molecule

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Chapter 24 / Exercise 24.4
General Chemistry
Ebbing/Gammon
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!(2࠵?࠵?!)࠵?!!/(!!!)2࠵?࠵?!=0࠵?=2࠵?!=2(4࠵?࠵?!!࠵?!࠵?!)C. (20 points) Consider a 17O2molecule as a simple harmonic oscillator. a. Calculate the reduced mass of this molecule (in units of kg). b. If the force constant is 1550 N/m, what is the vibrational frequency (in cm-1)? c. Calculate the frequency shift compared to 16O2 (in cm-1)? a) ࠵?=!!!!!!!!!=!"!!"!"!!"࠵?!=8.5࠵?!=1.42࠵?10!!"࠵?࠵?b) ࠵?=!!!"!!=!!!(!!!"!"!"!)!""#!/!!.!"!!"!!"!"=1753࠵?࠵?!!c) What is the frequency shift for a 16O2molecule a)kgkgmmmmmmpp262721211034.11067.18816161616×=××==+×=+=μb) ࠵?=!!!"!!=!!!(!!!"!"!"!)!""#!/!!.!"!!"!!"!"=1804࠵?࠵?!!Δ࠵?=1804࠵?࠵?!!1753࠵?࠵?!!=+51࠵?࠵?!!D. (10 points) Write Schrodinger’s equation for carbon atom in the oxidation state 3+ Bonus question (5 points): How many potential terms are present for elemental carbon?
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General Chemistry
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Chapter 24 / Exercise 24.4
General Chemistry
Ebbing/Gammon
Expert Verified
!2࠵?!!+!!+!!࠵?࠵?!࠵?!࠵?!࠵?!4࠵?࠵?!6࠵?!+6࠵?!+6࠵?!1࠵?!"1࠵?!"1࠵?!"࠵?࠵?!࠵?!࠵?!=࠵?࠵?࠵?!࠵?!࠵?!

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