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Unformatted text preview: C 2 + k q 1 m O-q 2 m C q 3 m O-q 2 m C (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 shouldve 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 cm-1 and that the symmetric stretching mode has a frequency of 1354 cm-1 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 eect does it have on the spectrum? (b) What is T 2 ? What eect does it have on the spectrum? (c) Can T 1 < T 2 ? Why or why not? 2...
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- Spring '10