Electronic State Χ(ΙΣ) V/cm-1 Vex/cm¹ B./cm-1 А (П1) 384.29 212.3 1.501 2.39 0.1141 0.0843 D./cm-1 4.03×10-8 re/Å 2.209 5.4×10-8 2.6923 A. What is the probability of a molecule being in the (v = 0, J = 10) level in the X electronic state at 300K? B. In the v = 0 level, which rotational level has the highest occupation probability (Jmp) at 300 K? C. Consider the (v" = 0 → v' = 1) vibrational transition in the X state of 135 Cl. Using Jmax from part (b), calculate the temperature (in Kelvin) at which the R(10) rovibrational line is three times more intense than the R(Jmax) rovibrational line. D. The transition wavelength of the R(24) line in the X (v" = 0)→A (v' = 25) vibronic band is ex = 574.90 nm. What is the X-A electronic energy offset, Tel (cm¯¹ units)?

Fundamentals Of Analytical Chemistry
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Chapter27: Molecular Fluorescence Spectroscopy
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Problem 27.6QAP
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Electronic State
Χ(ΙΣ)
V/cm-1
Vex/cm¹
B./cm-1
А (П1)
384.29
212.3
1.501
2.39
0.1141
0.0843
D./cm-1
4.03×10-8
re/Å
2.209
5.4×10-8
2.6923
A. What is the probability of a molecule being in the (v = 0, J = 10) level in the X electronic state at 300K?
B. In the v = 0 level, which rotational level has the highest occupation probability (Jmp) at 300 K?
C. Consider the (v" = 0 → v' = 1) vibrational transition in the X state of 135 Cl. Using Jmax from part (b),
calculate the temperature (in Kelvin) at which the R(10) rovibrational line is three times more intense
than the R(Jmax) rovibrational line.
D. The transition wavelength of the R(24) line in the X (v" = 0)→A (v' = 25) vibronic band is ex = 574.90
nm. What is the X-A electronic energy offset, Tel (cm¯¹ units)?
Transcribed Image Text:Electronic State Χ(ΙΣ) V/cm-1 Vex/cm¹ B./cm-1 А (П1) 384.29 212.3 1.501 2.39 0.1141 0.0843 D./cm-1 4.03×10-8 re/Å 2.209 5.4×10-8 2.6923 A. What is the probability of a molecule being in the (v = 0, J = 10) level in the X electronic state at 300K? B. In the v = 0 level, which rotational level has the highest occupation probability (Jmp) at 300 K? C. Consider the (v" = 0 → v' = 1) vibrational transition in the X state of 135 Cl. Using Jmax from part (b), calculate the temperature (in Kelvin) at which the R(10) rovibrational line is three times more intense than the R(Jmax) rovibrational line. D. The transition wavelength of the R(24) line in the X (v" = 0)→A (v' = 25) vibronic band is ex = 574.90 nm. What is the X-A electronic energy offset, Tel (cm¯¹ units)?
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