Answered: Find the oscillation amplitude of a…

Science

Chemistry

Find the oscillation amplitude of a diatomic molecule (CO) for n=1,2,3,4 & 10,when k=1926 N\m and reduced mass= 6.86 a

Physical Chemistry

2nd Edition

ISBN:9781133958437

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

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

Chapter15: Introduction To Electronic Spectroscopy And Structure

Section: Chapter Questions

Problem 15.58E

See similar textbooks

Related questions

Q: 2. The following is the relative number of molecules in the vibrational states of the 1CI molecule…

A: The above question can be solved using the Maxwell- Boltzmann distribution law The Maxwell–Boltzmann…

Q: Consider the rotational-vibrational spectrum of a diatomic molecule. Intensity 0 a. A and B b. D and…

Q: Calculate the relative populations of the J = 2 and J = 1 rotational levels of HCI at 25 oC. For HCI…

A: Relative population gives the ratio of population in the higher energy levels to the number of…

Q: Calculate the relative populations of a linear rotor in the levels with J = 0 and J = 5, given that…

Q: a.) Calculate the frequency of the J = 7 ← 6 transition in the pure rotational spectrum of 12C16O.…

A: Energy for a pure rotational spectrum transition is calculated by using below formula.

Q: The wavenumber of the J = 1 ← 0 rotational transition of 1H81Br considered as a rigid rotor is 16.93…

Q: The spacing between two adjacent lines in the pure rotational spectrum of a diatomic molecule is…

Q: The rotational constant B-for H2 is 60.86 cm-1. Predict the rotational Raman spectrum of H2 and…

A: Predict the Raman Spectrum of H2The Rotational Raman Spectrum of H2 consists of two envolopesof…

Q: For 16O2, Δ ᷉ G values for the transitions v = 1 ← 0, 2 ← 0, and 3 ← 0 are, respectively, 1556.22,…

A: The wavenumber of transitions with v=1 <---0 is given by the expression as shown below. The…

Q: Calculate the temperature at which qvib = 2.5 for nitric oxide. The vibrational wavenumber is = 1876…

A: answer is given below:

Q: Calculate the frequencies and wavelengths for the rotational transition J = 0 → J = 1 and J = 4 → J…

A: Given data: Rotational transition J = 0 → J = 1 and J = 4 → J = 5 for the HCl molecule. To find:…

Q: The wavenumber of the J = 3 ← 2 rotational transition of 1H35Cl considered as a rigid rotor is 63.56…

A: The process in which a molecule residing in a one rotational energy level is excited to another…

Q: For 1H35Cl molecule, (N1/N0) ratio at 300 K is 6.091 x 10-2. Calculate the wavenumber ( in cm-1) for…

A: For 1H35Cl molecule, (N1/N0) ratio at 300 K is 6.091 x 10-2. The wave number is 582.741Cm-1

Q: Identify the mayor peaks and the vibrational modes of this infrared spectrum of a solid mixture…

Q: The first line in the pure rotational spectrum of 1H35Cl appears at 21.18 cm-1. Find the value of…

A: First line in the pure rotational spectrum of 1H35Cl = 21.18 cm-1 Atomic mass of D (deuterium) =…

Q: 1H35Cl has a rotational constant of 10.5 cm-1. Use Excel to plot nJ/n0 from J = 0 to 25 in integer…

A: As per the Boltzmann distribution, nJn0=(2J+1)e-EJkT

Q: Suppose you were seeking the presence of (planar) S03 molecules in the microwave spectra of…

A: (a)

Q: Calculate the population of the first 13 rotational levels of HCl at 300 K. Then determine the most…

A: The relative populations of the rotational levels as compared with the ground energy state is given…

Q: Compute the relative population of states of an electronic spin in magnetic field of 0.3T at 300K…

Q: 100 80 60 40 (a) 20 CH;CH,CH,C-NH, 4000 3500 3000 2500 2000 1800 1600 1400 1200 1000 800 600…

Q: a) Calculate the moment of inertia of (i) H2 (ii) H2, (iii) CO2, (iv) CO2. (b) Calculate the…

A: Moment of inertia, I is given by: I=mRe22where I is the moment of inertia,m is the molar mass in…

Q: Calculate the moment of inertia for HCl molecule from the given value of rotational constant, B =…

A: Given: The given molecule is HCl The rotational constant B=10.40cm-1 To find: The moment of inertia…

Q: Which one of the following five compounds produced the IR spectrum shown below?

A: The predictions from IR spectrum are as follows: Alcohol/Phenol O-H Stretch at 3550-3200 (broad, s)…

Q: Estimate the centrifugal distortion constant for 79Br81Br, for which ᷉ B = 0.0809 cm−1 and ᷉v =…

A: A molecule is microwave active if and only if they have a permanent dipole moment, and hence they…

Q: A plot of rotational spectrum results in evenly-spaced bands (peaks) when wavenumber (cm-1) is used…

A: In a rotational spectrum, the spectrum is obtained as the molecules jump between the different…

Q: The spacing between two adjacent lines in the pure rotational spectrum of a diatomic molecule is…

A: Given: Spacing between adjacent lines is 20.0 cm-1. Value of KBT is 200 cm-1. Given level (J) is 6.…

Q: The spacing between two adjacent lines in the pure rotational spectrum of a diatomic molecule is…

Q: A molecule in a gas undergoes 3e+09 collisions in each second. Suppose that(a) every collision is…

A: (a)Calculate the mean time between the collisions,

Q: (4) For a rotational-vibrational spectrum of H"Br (B = 8.46 cm) taken at 520 K, determine the…

Q: (b) Assume the molecule, 2H³5Cl, can be considered as a rigid rotor in a pure rotational microwave…

A: Here we are required to find the wavenumber for the absorption line for 2H35Cl

Q: Consider the molecule Br2. The energy (in cm-1) required to excite Br2 from the ground vibrational…

A: In General, If any molecule is IR inactive and then it will Raman-active.

Q: The centrifugal constant for HCl is D = 4.59 x 10-4 cm-1. Determine the change in energy (in Joules)…

Q: Assuming a harmonic potential, the fundamental transition for a diatomic molecule is 1603 cm-1. What…

Q: Calculate the moment of inertia for HCl molecule from the given value of rotational constant, B =…

Q: a.) The spacings of the rotational fine structure lines of carbon dioxide 12C16O2 are determined…

A: The bond length of a molecule in IR spectroscopy is calculated using the formula :

Q: Suppose the C=O group in a peptide bond can be regarded as isolated from the rest of the molecule.…

A: for a diatomic system the vibrating frequency is given by,V=12πcKU1/2where,V=frequencyC=velocity of…

Q: 4. The transition between the ground and first excited vibrational levels of the ICl molecule is…

A: The relative population of two vibrationaĺ state is given by Boltzmann equation

Q: (4) For a rotational-vibrational spectrum of H81B (B = 8.46 cm-1) taken at 520 K, determine the…

Q: Five compounds are shown of the IR spectra below. Indicate which of the five compounds is…

A: The peak at 1700-1680 cm-1 indicates the presence of C=O group, the peak at 1600 - 1450 cm-1…

Q: For 1H35Cl molecule, (N1/N0) ratio at 300 K is 6.091 x 10^-2. Calculate the wavenumber ( in cm^-1 )…

A: Answer is explained below. Given that, for 1H35Cl molecule (N1/N0) = 6.091×10-2 at 300K. Now, we…

Q: Calculate the moment of inertia for HCl molecule from the given value of rotational constant, B =…

A: The rotational constant for the diatomic molecule is given by: Here, B= rotational constant = 10.40…

Q: Calculate the frequency of the J = 7 ← 6 transition in the pure rotational spectrum of 12C16O.…

A: The energy in the term of corresponding wavenumber for the rotational region spectra (ƐJ) is…

Q: 100 100- II se 4000 3000 2000 1500 1000 500 4000 3000 2000 1500 1000 s00 Wavenumbers icm-11…

A: d) o-xylene shows the IR spectrum VI.

Q: Take the effective spring constant of a vibrating HCl molecule as 480 N/m. The mass of the hydrogen…

A: The energy of any vibrating molecule is quantized in the same way as the energy of electron in a…

Q: Consider a linear rotar in the energy levels with J=0 and J= 5 at 298K.calculate the relative…

A: It is the ratio/difference the ground state energy to the given energy level of J value and system’s…

Q: Consider the rotational-vibrational spectrum of a diatomic molecule. Intensity 0 2400 a. A and B b.…

A: In rotational-vibrational spectrum: Selection rule - ∆J = 0, ±1 When J = 0 then we get Q- branch.…

Q: Calculate the wavenumber of the rotational transition from J=1 to J=2 of the HCl bond. The reduced…

A: We have to find the wavenumber of a rotational transition of HCl

Question

100%

Find the oscillation amplitude of a diatomic molecule (CO) for n=1,2,3,4
& 10,when k=1926 N\m and reduced mass= 6.86 a

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, chemistry and related others by exploring similar questions and additional content below.

Similar questions

Calculate the relative populations of a spherical rotor at 298 K in the levels with J = 0 and J = 5, given that ᷉ B = 2.71 cm−1.
Calculate the relative populations of a linear rotor at 298 K in the levels with J = 0 and J = 5, given that ᷉ B = 2.71 cm−1.
Consider the diatomic molecule AB modeled as a rigid rotor (two masses separated by a fixed distance equal to the bond length of the molecule). The rotational constant of the diatomic AB is 25.5263 cm-1. (a) What is the difference in energy, expressed in wavenumbers, between the energy levels of AB with J = 10 and J = 6? (b) Consider now a diatomic A'B', for which the atomic masses are ma 0.85 mA and mB' 0.85 mB and for its bond length ra'B' = 0.913 rAB. What is the difference in energy, expressed in wavenumbers, between the energy levels of the A'B' molecule with J = 9 and J = 7?
A diatomic molecule has a rotational constant of 8.0 cm-1, and vibrational frequency of 1200 cm 1. What is the energy of the state with v = 1 and j = 6 relative to the lowest energy state, E = E(v=0,j=0)? 0
Calculate the relative populations of a linear rotor in the levels with J = 0 and J = 5, given that B = 2.71 cm-1 and a temperature of 298 K.
Assuming a harmonic potential, the fundamental transition for a diatomic molecule is 1603 cm-1. What is the energy, in wavenumber, of the v=3 level of the molecule?
(c) When a gas is expanded very rapidly, its temperature can fall to a few degrees Kelvin. At these low temperatures, unusual molecules like ArHCl (Argon weakly bonded to HCl) can form on mixing. For the isotopic species Ar H$CI, the following rotational transitions were observed: J (1 → 2): 6714.44 MHz J (2 → 3): 10068.90 MHz Assume the molecule can be treated as a linear diatomic molecule (ArCl). (i) Calculate the rotational constant (B) and centrifugal distortion (D) constant for this molecule.
Develop an expression for the value of J corresponding to the most highly populated rotational energy level of a diatomic rotor at a temperature T remembering that the degeneracy of each level is 2J + 1. Evaluate the expression for ICl (for which ᷉ B = 0.1142 cm−1) at 25 °C. Repeat the problem for the most highly populated level of a spherical rotor, taking note of the fact that each level is (2J + 1)2-fold degenerate. Evaluate the expression for CH4 (for which ᷉ B = 5.24 cm−1) at 25 °C. Hint: To develop the expression, recall that the first derivative of a function is zero when the function reaches either a maximum or minimum value.
The rotational constant of 1H35CI is 317.8 GHz. What is the separation of the lines in its pure rotational spectrum (a) in gigahertz. (b) in reciprocal centimetres?
What is the most highly populated rotational level of Cl2 at (i) 25 °C, (ii) 100 °C? Take ᷉ B = 0.244 cm−1.
Calculate the energies of the first four rotational levels of 1H127I free to rotate in three dimensions; use for its moment of inertia I = μR2, with μ = mHmI/(mH + mI) and R = 160 pm. Use integer relative atomic masses for this estimate.
The spacing between two adjacent lines in the pure rotational spectrum of a diatomic molecule is 20.0 cm ¹. Given KBT = 200 cm-¹ (at a specific temperature), calculate the relative population of the J-6 level O 1.6 O 3.8 O 2.7 O 2.4