11C.7 In the infrared spectrum of CO a strong vibrational transition is observed centred at 2143.29 cm³ correspond- ing to the fundamental band with v = 1 ← 0 with a weaker transition at 4259.66 cm³¹, corresponding to the overtone band with v=2 < 0. What is the vibrational wavenumber, v, and anharmonicity constant, X, of CO?

11C.7 In the infrared spectrum of CO a strong vibrational transition is observed centred at 2143.29 cm³ correspond- ing to the fundamental band with v = 1 ← 0 with a weaker transition at 4259.66 cm³¹, corresponding to the overtone band with v=2 < 0. What is the vibrational wavenumber, v, and anharmonicity constant, X, of CO?

Physical Chemistry

2nd Edition

ISBN:9781133958437

Author:Ball, David W. (david Warren), BAER, Tomas

Publisher:Ball, David W. (david Warren), BAER, Tomas

Chapter14: Rotational And Vibrational Spectroscopy

Section: Chapter Questions

Problem 14.85E

See similar textbooks

Similar questions

A sample of pure 1 H79Br gas was analysed using IR and NIR absorption spectrometers. A fundamental vibration at 2575.15 cm–1 and an overtone band at 5022.78 cm–1 were measured. (a) Using this data, calculate the equilibrium oscillation frequency (in cm–1) and the anharmonicity constant ( e x ) for pure 1 H79Br.
The equilibrium vibration frequency of the Iodine molecule is Us cm¹ and the an harmonicas constant -0.003 What is the intensity of hot band v=1→v=2 relative to that of the fundamental v=0-v-1, if the temperature is 300 °K ? .
P11E.2 Suppose that three conformations are proposed for the nonlinear molecule H,O, (1, 2, and 3). The infrared absorption spectrum of gaseous H,O, has bands at 870, 1370, 2869, and 3417 cm. The Raman spectrum of the same sample has bands at 877, 1408, 1435, and 3407 cm. All bands correspond to fundamental vibrational wavenumbers and you may assume that: (a) the 870 and 877 cm bands arise from the same normal mode, and (b) the 3417 and 3407 cm bands arise from the same normal mode. (i) If H,O, were linear, how many normal modes of vibration would it have? (ii) Give the symmetry point group of each of the three proposed conformations of nonlinear H,O,. (iii) Determine which of the proposed conformations is inconsistent with the spectroscopic data. Explain your reasoning. 2
11B.3 Calculate the rotational constant for 32S 19F6 for which the S – F bond length is 158 pm. Before solving the problem please also give a brief explanation of the concept or associated equation(s) and variables.
2143 cm. What is the probability of The vibrational absorption band of 12 C160 occurs at v。 = finding CO molecules in the first excited vibrational state at 2000 K?
The first three absorption lines in the pure rotational spec- trum of gaseous 12C16O are found to have the frequencies 1.15 x 1011, 2.30 × 1011, and 3.46 × 1011 s-1. Calculate: (a) The moment of inertia I of CO (in kg m²) (b) The energies of the J = 1, J = 2, and J = 3 rotational levels of CO, measured from the J = 0 state (in joules) (c) The C-O bond length (in angstroms)
Suggest a reason why the replacement of 12C by 13C in CO2 affects some of its vibrational frequencies but not all.
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: 5.88
1. [10] Consider an adsorption band in the combined rotational-vibrational spectrum of a linear molecule, where the fundamental vibrational frequency involved in the observed band is 2325 cm-¹ and the rotational constant of the molecule is B=2.4 cm³. Say hypothetically, the specific selection rules for the rotational states are AJ = ±2. At what wave numbers would the first three peaks that occur at both higher and lower wave numbers than fundamental vibrational frequency occur at? What transitions would each peak correspond to?
Predict the shape of the nitronium ion, NO2+, from its Lewis structure and the VSEPR model. It has one Raman active vibrational mode at 1400 cm−1, two strong IR active modes at 2360 and 540 cm−1, and one weak IR mode at 3735 cm−1. Are these data consistent with the predicted shape of the molecule? Assign the vibrational wavenumbers to the modes from which they arise.
Calculate the wavenumber of the first overtone transition w ith v = 2 ~ 0 in nitric oxide. NO. given that the valueof the vibrational wavenumber is v = 1904.03 em·' and theanharmonicity constant is x, = 0.0073.
In the microwave spectrum of the 12C16O molecule, the following consecutive lines have been measured: 115271.68; 230539.21 and 345798.45 MHz. Deduce the transitions that have given rise to these lines.Data: Atomic masses C = 12.000 u; O = 15.999 u; NA = 6.0225×1023 mol-1; h = 6.626×10-34J s