Calculate the ratio A/B for transitions with the following characteristics: (i) 500 MHz radiofrequency radiation, (ii) 3.0 cm microwave radiation.

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: The J = 2 → 3 pure-rotational transition for the ground vibrational state of 3ºK³7C1 occurs at 22410…

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Q: Discuss the physical origins of the gross selection rules for microwave spectroscopy and rotational…

A: The gross selection rules give the knowledge about the allowed spectroscopic transitions. For…

Q: Define wavelength and fwhm (peak width at half the maximum height) of visible absorption.

A: A propagating disturbance in space is called wave. They generally travel in straight line through a…

Q: If the transverse relaxation time, T2, is 50 ms, after what time will the envelope of the free…

A: Given: The Transverse relaxation time (T2) is 50 ms

Q: A molecule in a liquid undergoes about 1.0 × 1013 collisions in each second. Suppose that (i) every…

A: The expression which relates linewidth and lifetime of vibrational transitions is as follows,…

Q: Estimate the absorption frequency of butadiene if the sum of the bond lengths is 0.424nm

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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…

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Q: Consider the vibrational mode that corresponds to the boat-like bending of a benzene ring. Is it (i)…

A: Rule of mutual exclusion : According to this rule , for centrocymmetric ( point of inversion present…

Q: What information can be obtained from IR and Raman spectra and how this can be applied in COSMETIC…

A: IR active molecules are Raman inactive and vice-versa.

Q: List the 3 types of EMR scattering and give the relationship between the particle size and…

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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: (a) Calculate the moment of inertia of (i) 1H2, (ii) 2H2, (iii) 12C16O2, (iv) 13CO2 . (b) Calculate…

A: (a)

Q: If the force constant of the C=N bond is 1.0 X103 N/m, calculate the vibrational frequency and…

A: Given: Force constant = 1.0 × 103 N/m.

Q: Explain the difference of an operational principle between flame atomic absorption spectroscopy…

A: Flame atomic absorption spectroscopy  Flame atomic emission spectroscopy  Amount of light absorbed…

Q: i) Discuss the differences between the AES and XPS in terms of principle and information obtained…

A: X-ray Photoelectron Spectroscopy (XPS) also known as Electron Spectroscopy for Chemical Analysis…

Q: Why is IR spectroscopy an ineffective method for vibrational studies of homo-nuclear diatomic…

A: IR Spectroscopy detects frequencies of infrared light that are absorbed by a molecule.Molecules…

Q: Consider the diatomic molecule AB modeled as a rigid rotor (two masses separated by a fixed distance…

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Q: Estimate the centrifugal distortion constant for 1H127I, for which ᷉  B = 6.511 cm−1 and ᷉v = 2308…

A: 1) B = 6.511 cm−1  2) v = 2308 cm−1 3) Substitution si done for 1H.

Q: .5 Sketch potential energy curves for the following states of CdH, Brz and CH, given their…

A: The covalent excited states and ground state of the Br2 molecule has been investigated by…

Q: 2/ Please explain the answer in detail The J = 0 to j = 1 transition for carbon monoxide (12C160)…

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Q: Calculate the frequency and wavenumber of the J = 3 ← 2 transition in the pure rotational spectrum…

A: The relation for energy for pure rotational spectroscopy is shown below:      EJ=BJJ+1For n=3…

Q: Is the transition A1g → E2u forbidden for electric dipole transitions in a D6h molecule?

A: The selection rule for electric transition states that the transition between gerade (g) to ungerade…

Q: for the following molecules determine the number of IR and Raman vibration   [Cr(H2O)6] 3+

A: The ligand is a species that has an unshared electron pair such as an anion or a lone pair, and it…

Q: The rotational constant of 12C16O is 57.65 GHz. Calculate the value of J for the most populated…

A: Rational constant , B = 57.65 GHz                                   = 57.65 X 109 Hz…

Q: Explain briefly what Single molecule Surface-Enhanced Raman Spectroscopy is.

A: Surface-enhanced Raman spectroscopy (SERS) SERS is an acronym for Surface-enhanced Raman…

Q: The vibrational wavenumber of the oxygen molecule in its electronic ground state is 1580 cm−1,…

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

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Q: For 14N2, Δ ᷉  G values for the transitions v = 1 ← 0, 2 ← 0, and 3 ← 0 are, respectively, 2345.15,…

A: Given, ∆G(ν=1←0) = v--2v-xe∆G(ν=1←0) =2345.15 cm-1 ΔG values for the transitions v = 1 ← 0, 2 ← 0,…

Q: The rotational constant of 1H35CI is 317.8 GHz. What is the separation of the lines in its pure…

A: Given data contains, The value of rotational constant (B) for 1H35CI is 317.8 GHz. (a) The…

Q: Calculate the separation between the two lowest levels for an O2 molecule in a one-dimensional…

A: Given: 1) Temperature (T) = 300 K 2) The planks constanct 'h' = 6.626× 10-34 J s   3) E=n2h28mL2…

Q: 5. Calculate the frequency and wavenumber of the J = 3 € 2 transition in the pure rotational…

A: Please find the file attached for explanation

Q: The pure rotational microwave spectrum (Topic 11B) of HCl has absorption lines at the following…

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Q: Given that the maximum molar absorption coefficient of a molecule containing a carbonyl group is 30…

A: Let, the initial intensity of sample  be =I∘ current intensity of sample  be =I   FOR PART (i) At…

Q: 5. What is the basis of vibrational spectroscopy. Derive the expression for natural frequency for…

A: We will discuss the basis of Vibrational spectroscopy. It is also called as IR Spectroscopy.

Q: Estimate the lifetime of a state that gives rise to a line of width (i) 200 MHz, (ii) 2.45 cm−1.

A: (i) The lifetime of a state is calculated using the Heisenberg Uncertainty principle. The lifetime…

Q: Calculate the percentage difference in the fundamental vibrational wavenumbers of 1H35Cl and 2H37Cl…

A: By Hooke's law: Wavenumber = 12πku k= force constant (Same) u= reduced mass u= m1 m2m1 +m2 m1= mass…

Q: Which process in the diagram below shows fluorescence? Singlet excited states 2 Triplet excitod…

A: Furoscenece: The emission of light by a substance that has absorbed light or other electromagnetic…

Q: The rotational Raman spectrum of 35Cl2 shows a series of Stokes lines separated by 0.9752 cm−1 and a…

A: Mass of a 35Cl atom is 34.9688 u. First calculate the reduced mass (μ) of 35Cl2 . Here m1 is the…

Q: For 'H³C1 molecule, (N¡/No) ratio at 300 K is 6.091 x 10² . Calculate the wavenumber ( in cm') for…

A: We know for rotational transition, EJ= BJ(J+1) cm-1 ; where B is rotational constant. From this…

Q: The wavenumbers of the first 5 absorption lines in the microwave spectrum of the ¹²C¹6O molecule,…

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Q: Functional groups such as anhydride, carboxylate (but not carboxylic acid), nitro, primary amino…

A: The principle of IR spectroscopy resides in measuring the electromagnetic radiation in the infra-red…

Q: Calculate the separation between the two lowest energy levels for an N2 molecule in a one-…

A: Given,  mass of N2, m = 28 amu                             = 28x1.6605x10-27 kg Length = 2 cm =…

Q: Estimate the lifetime of a state that gives rise to a line of width (i) 0.20 cm−1, (ii) 2.0 cm−1.

A: (a) lifetime of a state =h2πdE   with,   dE = hc x l l = line width h = planck's constant c = 3.0 x…

Q: If the vibrational frequency of 1802 is 1764 cm-1, what is the spring constant a.1560 N/m b.1620 N/m…

A: Vibrational Frequency of 18O2 = 1764 cm-1  Reduced Mass Of 18O2 is  μ18O2 = m18O2 * m18O2  m18O2  +…

Q: A molecule in a liqu id undergoes about 1.0 x 1013 collisions in each second. Suppose that every col…

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