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Unformatted text preview: C ² 2 + k ± q 1 √ m Oq 2 √ m C ²± q 3 √ m Oq 2 √ m C ² (1) Where the q i are the mass weighted coordinates of the atoms. Note that because we are working in only one dimension there is only one coordinate per atom. 1 (a) Find the normal modes (coordinates) of this system and express the associated frequencies in terms of k , m C and m O . (b) If you did part (a) correctly you should’ve found that there are two stretching modes and one translational coordinate (i.e. all the atoms moving in the same direction at the same speed). Knowing that the asymmetric stretching mode has a frequency of 2396 cm1 and that the symmetric stretching mode has a frequency of 1354 cm1 estimate the values of the force constants k and k . Make a plot of V using these values. 5. NMR Spectroscopy (a) What is T 1 ? What eﬀect does it have on the spectrum? (b) What is T 2 ? What eﬀect does it have on the spectrum? (c) Can T 1 < T 2 ? Why or why not? 2...
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This note was uploaded on 05/14/2010 for the course CHEM 120ACHEM taught by Professor Chandler during the Spring '10 term at Berkeley.
 Spring '10
 CHandler

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