11B.12 Suppose that hydrogen is replaced by deuterium in 1H35Cl. Would you expect the J = 1 ← 0 transition to move to higher or lower wavenumber? Before solving the problem please also give a brief explanation of the concept or associated equation(s) and variables.
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11B.12 Suppose that hydrogen is replaced by deuterium in 1H35Cl. Would you expect the J = 1 ← 0 transition to move to higher or lower wavenumber?
Before solving the problem please also give a brief explanation of the concept or associated equation(s) and variables.
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- 2.2 You know that the wavenumbers of the rotational transition J = 1← 0 for 1H35Cl and 2H35Cl are 20.8784 and 10.7840cm-1, respectively. Accurate atomic masses are 1.007825 and 2.0140 for 1H and 2H, respectively. The mass of 35Cl is 34.96885. Conclude based on this information that the bond lengths are the samea) Calculate the moment of inertia of (i) H2 (ii) H2, (iii) CO2, (iv) CO2. (b) Calculate the corresponding rotational constants, expressing your answers as a frequency in hertz(Hz) and as a wavenumber in reciprocal centimeters (cm-1): A space probe was designed to seek carbon monoxide in Saturn’s atmosphere by looking for lines in its rotational spectrum. If the bond length of CO is 112.8 pm, at what wavenumbers (in cm-1) do the first three rotational transitions appear? Carbon is almost all carbon-12, so for this part, you can assume it’s all 12C). What resolution would be required to determine the isotropic ratio of 13C to 12C on Saturn by observing the first three 13CO rotational lines as well? (In other words how far apart, in cm-1, are the rotational transitions of 12CO and 13CO
- (a) Calculate the moment of inertia of (i) 1H2, (ii) 2H2, (iii) 12C16O2, (iv) 13CO2 . (b) Calculate the corresponding rotational constants, expressing your answers as a frequency in hertz (Hz) and as a wavenumber in reciprocal centimetres (cm-1).Use a group theoretical argument to decide which of the following transitions are electric-dipole allowed: (a) the π* ← π transition in ethene, (b) the π* ← n transition in a carbonyl group in a C2v environment.4. The infrared absorption spectrum of a diatomic molecule is shown in the figure. (a) Give the initial (J") and final (J') rotational quantum numbers corresponding to the peaks labeled A and B. (b) Estimate the vibrational frequency in wavenumbers (i) and the rotational constant in wavenumbers (B). (c) From the spacings of the peaks near 2700 cm and near 3050 cm, determine whether the average bond length increases or decreases with increasing vibrational quantum number. 20 18 A 14 12 2500 2600 2700 2800 2900 3000 3100 3200 wavenumber absorption intensity
- E11C.2(a) Calculate the percentage difference in the fundamental vibrational wavenumbers of "Na Cl and "Na"Cl on the assumption that their force constants are the same. The mass of "Na is 22.9898m..If the wavenumber of the J = 3 ← 2 rotational transition of 1H35Cl, which may be considered as a rigid rotator, is 63.56 cm−1 calculate the moment of inertia and the bond length of the molecule.[Note: m(1H) = 1.0078 u and m(35Cl) = 34.9688 u.]1/ Please explain the answer in detail
- You will perform rotational spectroscopy on the diatomic molecule 25A29B (where A and B are generic elements with an interatomic spacing that is expected to be 1.28 Å). Prior to the experiment, you want to predict what the spectrum will look like so you know what to expect and one spectral line you are particularly interested in is the transition between l =2 and the next higher state. What is the wavenumber (in cm-1) of the photon for this transition? Write your answer to two decimal places (X.XX). Answer: 5.88Consider the rotational spectrum of a linear molecule at 298 K with a moment of inertia of 1.23×10−461.23\times10^{-46}1.23×10−46 kg m2 . (a) What is the frequency for the transition from J = 2 to J = 3? (b) What is the most populated rotational level for this molecule? Would the transition in (a) give the most intense signal in the rotational spectrum?Which of the following transitions are electric-dipole allowed?(i) 1Σg+ ↔ 1Σu+, (ii) 3Σg+ ↔ 3Σu+, (iii) π* ↔ n.