The first line in the pure rotational spectrum of 1H35Cl appears at 21.18 cm-1. Find the value of the rotational constant for 2D35Cl given the atomic mass of D is 2.015 amu. Assume that bond length in DCI is the same as that in HCl i.e. 1.27 x 10-10 m.

Q: Explain microwave spectra of rigid and non rigid rotors.

A: Microwave spectra mainly depends upon the transition of the rotational energy levels of the…

Q: Vibration-rotation transitions in the infrared spectrum of 1H19F were observed at 2886.50, 2908.51,…

A: a) Wavenumber originated for the absorption line in the P branch is given, Wavenumber originated…

Q: Suppose that a hydrogen atom (mass attached to the surface of a solid by a bond having a force 1.67…

A: Given data: Mass of hydrogen = 1.67 x 10-27 kg Force constant = 5 N/m Formula used: f=12πkm Where, f…

Q: Briefly explain the effect of isotopic substitution in the rotational spectrum of diatomic molecules…

A: Molecular spectroscopy and isotopic substitution. Molecular spectroscopy is a branch of science that…

Q: √(J + 1 ← J) = 2 B (J + 1) - 4 Ďƒ (J + 1)³. Microwave spectroscopy finds the following energies (in…

A: The equation provided is a modified version of the energy levels for a rotating diatomic molecule,…

Q: Draw the Raman spectrum of a linear rotor 19F2 and remember to label Stokes, anti-Stokes branches,…

A: The Stokes and anti-Stokes branches would be the two main branches that one would expect to detect…

Q: Which term accurately quantifies the ratio of the relative population of the J = 4 rotational state…

A: Determining the population of each rotational state of a molecule is useful in microwave…

Q: 5. Another unit that is used quite frequently in microwave spectroscopy is GHz (Gigahertz, 1x 10°…

A:

Q: Q10. Coulomb interactions in an atom with 8 electrons is obtained by adding contributions from pairs…

A: Dear student as all questions are not relatable so I can solve only 1 question according to bartleby…

Q: Which of the following transitions are allowed by selection rules?  please in each case explain the…

A: The selection rules for electronic transition are: 1. The total spin cannot change, ΔS=0;2. The…

Q: What is the fine structure, draw the fine structure of n=2 and n=3 shells of hydrogen and the…

A: In spectroscopy, when the main spectral lines of an atom splits into two or more components then…

Q: Describe the basic differences between fundamental vibrations and overtones in IR spectroscopy.

A: Fundamental Vibration : Fundamental vibration occur when a vibrational mode is excited from v=0 to…

Q: The vibrational wave number of CO2 molecules are w1=1330 cm¯1, w2=667 cm¯1, and w3=2349 cm¯1. Find…

A: Given that,  The vibrational wave number of CO2 molecules are : ω1=1330 cm-1, ω2=667 cm-1, ω3=2349…

Q: The moments of inertia for CH3CH3 is Ia=1.1 x 10-46 Kg.m2 and Ib=4.2 x 10-46 kg.m2 First Classify…

A: The rotational constants A and B are related to the moment of inertia as follows: B(or A)=h8π2Ic…

Q: The energy levels (in cm-1) of diatomic anharmonic oscillator are described by the following…

A: Introduction: Energy level in case of anharmonic oscillator is given as: Ev = (v+1/2)we-…

Q: For CO2 gas, only the C - O symmetric stretching vibration energy is Raman active and has a value of…

A: The objective of the question is to calculate the wavelength of the Raman scattering Stokes line and…

Q: 11.2 The microwave spectrum of ¹H1271 consists of a series of lines separated by 384 GHz. (a)…

A: To calculate the bond length (r) from the rotational constant (B), we can use the formula:r = √(h² /…

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

A:

Q: Calculate the frequency of the 3-7-6 transition in the pure rotational spectrum of 12C150. Assume…

A: The expression for the frequency of a pure rotational energy state is:where v is the frequency J is…

Q: 1. The lowest energy transition (J=0 --> J=1) in teh pure rotational spectrum of 12C16O occures ar…

A:

Q: If B = 1.9982 cm1 for 14N2, what is the approximate rotational constant for 15N2?

A: Given- B for 14N2=1.9982 cm-1  B for 15N2 =?

Q: (c) Identify which of the following electronic transitions would be visible in aUV/vis spectrum. (i)…

A: HOMO is the Highest occupied molecular orbital whereas LUMO is the lowest unoccupied molecular…

Q: The lowest energy transition (J=0 --> J=1) in teh pure rotational spectrum of 12C16O occures ar…

A:

Q: olecule in a gas undergoes 2e+09 collisions in each second. Suppose that every collision is…

A:

Q: Calculate the threshold frequency of Potassium with 3.2x10^-19 J Work Function.

A: Given : Work function = 3.2 × 10-19 J

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: 1. The lowest energy transition (J=0 --> J=1) in teh pure rotational spectrum of 12C16O occures ar…

A: In the given question we have to calculate the rotational constant, and the bond length,We know that…

Q: 1. The lowest energy transition (J=0 --> J=1) in teh pure rotational spectrum of 12C16O occures…

A: The objective of the question is to calculate the rotational constant, bond length and the energy of…

Q: The fundamental vibration frequency of H^35Cl is 2989 cm^-1. What is the value of the liaison force…

A:

Q: The absorption associated with a certain transition begins at 167 nm, peaks sharply at 200 nm, and…

A: In this exercise, we have absorption that is associated with particular transition. It begins at a…

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: Using the Boltzmann’s law, show that, for a spin-1/2 nucleus at thermal equilibrium at temperature T…

A: Solution is given as:

Q: three conservative lines in the rotational spectrum of HI are observed at 44.4768,51.9592 and…

A: The transitions occur from J→J+1 and the frequency of transition is given by: vJ=2B(J+1)-4D(J+1)3…

Q: 4. (1) Calculate the translation energy (ɛ, ) for O, molecule with quantum states n̟=1, n=1n=1 in a…

A:

Q: The force constants for ¹H₂ and 79Br2 are 575 and 246 N-m¹, respectively. The atomic masses for ¹H₂…

A: Given,The force constant of H2= 575 N/mThe force constant of Br2 =246 N/mTo find the vibrational…

Q: In the language of Problem 12C.5, show that if G(t) = (a cos ω1t + b cos ω2t)e−t/τ, then the…

A: The spectrum consists of two lines with intensities proportional to a and b located at ω = ω1 and…

Q: 4 For the 1S 2P (Lyman a) transition in the hydrogen atom, evaluate the total integrated absorption…

A:

Q: a) Show that the 3D –> 2P transition of the He'(Z=2) ion will split into three lines due to the fine…

A: According to the question, first we have to show that the 3D ---> 2P transition of the He+ ion.…

Q: Please don't provide handwritten solution ...

A: The objective of the question is to calculate the frequency of the J=2+1 transition in the pure…

Q: Calculate the wavenumbers of the two highest energy vibrational transitions for the ¹271³5C|…

A:

Q: Explain how by plotting the J values against the Energies allows us to determine the constants?

A: Plotting J values (coupling constants) against Energies allows us to determine specific constants…

Q: Q1) Calculate the energy of photon required to exite CO molecule from v=0 to v=1, the wavenumber…

A: