The average bond length of a molecule can change slightly with vibrational state. In 2³Na3$Cl, the frequency of light absorbed in a change from the J = 1 to the J = 2 rota- tional state in the ground vibrational state (n = 0) was measured to be v = 2.60511 × 1010 s-1, and that for a change from J = 1 to J = 2 in the first excited vibrational state (n 1) was v = 2.58576 x 1010 s-1. Calculate the average bond lengths of NaCl in these two vibrational states, taking the relative atomic mass of 2³Na to be 22.9898 and that of 35C1 to be 34.9689.

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The average bond length of a molecule can change slightly
with vibrational state. In 2³Na3$Cl, the frequency of light
absorbed in a change from the J = 1 to the J = 2 rota-
tional state in the ground vibrational state (n = 0) was
measured to be v = 2.60511 × 1010 s-1, and that for a
change from J = 1 to J = 2 in the first excited vibrational
state (n
1) was v =
2.58576 x 1010 s-1. Calculate the
Transcribed Image Text:The average bond length of a molecule can change slightly with vibrational state. In 2³Na3$Cl, the frequency of light absorbed in a change from the J = 1 to the J = 2 rota- tional state in the ground vibrational state (n = 0) was measured to be v = 2.60511 × 1010 s-1, and that for a change from J = 1 to J = 2 in the first excited vibrational state (n 1) was v = 2.58576 x 1010 s-1. Calculate the
average bond lengths of NaCl in these two vibrational
states, taking the relative atomic mass of 2³Na to be
22.9898 and that of 35C1 to be 34.9689.
Transcribed Image Text:average bond lengths of NaCl in these two vibrational states, taking the relative atomic mass of 2³Na to be 22.9898 and that of 35C1 to be 34.9689.
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