IGNOU MCH-020 Atomic and Molecular Spectroscopy | SOLVED ASSIGNMENT 2026-27

IGNOU MCH-020 Atomic and Molecular Spectroscopy · 2026–27 Session

MCH-020 introduces students to the fundamental principles and applications of Atomic and Molecular Spectroscopy. The course explores how electromagnetic radiation interacts with matter and how spectroscopic techniques are used to study the structure, composition, and properties of atoms and molecules.

IGNOU MCH-020 Atomic and Molecular Spectroscopy | SOLVED ASSIGNMENT

The course helps students understand important spectroscopic methods, including rotational, vibrational, electronic, and magnetic resonance spectroscopy, along with their applications in chemical analysis, structural determination, and scientific research.

Course Code

Applicable Session

Maximum Marks

Assignment Code

MCH-020

2026–27 Session

100

MCH-020/TMA/2026-27

Key Areas of Study in MCH-020:

1.    Fundamentals of Spectroscopy – Understand the interaction of electromagnetic radiation with matter, energy levels, and the basic principles of spectroscopy.

2.    Rotational and Vibrational Spectroscopy – Study rotational and vibrational transitions and understand their applications in determining molecular structure.

3.    Electronic Spectroscopy – Understand electronic transitions in atoms and molecules, UV-Visible spectroscopy, and the factors affecting electronic spectra.

4.    Atomic Spectroscopy – Study atomic absorption, atomic emission, and related spectroscopic techniques used for elemental analysis.

5.    Magnetic Resonance Spectroscopy – Understand the basic principles of Nuclear Magnetic Resonance (NMR) and Electron Spin Resonance (ESR/EPR) spectroscopy.

6.    Applications of Spectroscopy – Explore the use of spectroscopic techniques in structural analysis, qualitative and quantitative analysis, chemical identification, and scientific research.

IGNOU MCH-020 Atomic and Molecular Spectroscopy | SOLVED ASSIGNMENT 2026-27

Note: Answer all the questions given below.

You may use the following whenever required:

ℎ =6.626×10-34 𝐽𝑠; 𝑚𝑒 = 9.11×10−31 𝐾𝑔; 𝑐 = 3.0×108 𝑚𝑠−1

Q1. a) A photon of violet light has a wavelength of 500 nm. Calculate its energy.

b) State the Lambert’s Law and translate it into a mathematical expression.

Q2. a) Explain the vector nature of orbital angular momentum. Predict the values of magnetic quantum number. With the help of a suitable diagram explain the concept of total angular momentum.

b) What is Stark Effect? In which condition do we get linear stark effect and quadratic stark effect?

Q3. a) Following spectra gives the relative positioning and intensity of the 2s peaks? Which of the following statements explain it best?

i) Be has a greater nuclear charge than Li and more electrons in the 2s orbital.

ii) Be electrons experience greater electron-electron repulsions than Li electrons.

iii) Li has a greater nuclear attraction on the 2s electrons, so it is harder to remove those

iv) Li has greater electron shielding by the 1s orbital, so the 2s electrons can be easily removed.

b) With the help of suitable diagrams explain the rotation of BF3 molecule as an example of an oblate symmetric top molecule.

Q4. a) The first line in the rotational spectrum of HF molecule is observed to be at 60.22 cm-1. Calculate the location of the band in DF molecule obtained by isotopic substitution of H atom in HF by D. Assume that there is no change in the bond length of the molecule.

b) The oscillation frequency of 1H35Cl is determined to be 3660 cm-1. (Given: Atomic mass of Hydrogen: 1.008 u; atomic mass of 35Cl=34.969 u)

Q5. a) What is meant by anharmonic oscillator? Apart from mechanical anharmonicity may arise? Why does it arise? With the help of a diagram show the allowed absorption transitions for an anharmonic oscillator according to the selection rule.

b) What is meant by Fermi resonance? When are hot bands observed in transitions? Derive the expression for the frequency of a hot band under anharmonic conditions.

Q6. a) The Raman line for a substance was observed at 546.4 nm on irradiating with 322.4 nm radiation. Calculate the wave numbers of Stokes and anti-Stokes lines for the substance if the exciting line has a wavelength of 328.5 nm.
b) Explain the coherent anti-Stokes Raman Spectroscopy (CARS) technique. Give suitable illustrations.

Q7. a) Illustrate the general procedure for determining the term symbols for (sg)1 and (pu)3.

b) The vibrational frequency and anharmonicity constant of HF molecule in an excited electronic state are found to be 3456.25 cm-1 and 0.030 respectively. Calculate the dissociation energies, (De) and (D0) of the HF molecule in this excited state.

Q8. a) Explain the different mechanisms in fluorescence quenching.

b) (i) Describe the Nuclear Overhauser Effect (NOE) and its significance in structural elucidation using NMR.

(ii) Predict the number of signals in 13C-NMR spectrum in the following compounds.

I. 2,3-Dimethylbuta-1,3-diene

II. Cyclohexanol

III. p-Xylene

IV. Ethylbenzene

V. But-1-ene

VI. Pyrrole

Q9. a) (i) Free Mössbauer nucleus ¹¹⁹Sn emits a γ-radiation of frequency 5.76 × 10¹⁸ Hz. Calculate therecoil velocity and energy of the nucleus. [Given: Avogadro number = 6.02 × 10²³ mol⁻¹].

(ii) For a system with an axially symmetric electric field gradient, derive the energy level scheme and determine the resulting quadrupole splitting for a transition from a ground state with spin 𝑰𝒈𝒓 = 𝟑/𝟐 to an excited state with spin I𝒆𝒙 = 𝟓/𝟐.

b) (i) The ESR spectrum of an organic radical containing two carbon atoms consisted of 12 lines having relative intensities of 1,2,3,1,6,3,3,6,1,3,2 and 1. Identify the radical.

(ii) Why does the g value in ESR spectroscopy become anisotropic in solid samples or molecules with low symmetry?

Q10. a) What is Nuclear Overhauser Effect (NOE)? How does it arise.

b) In the ESR spectrum of K3Mo (CN)8, 25% isotopes of Mo show in spin I= 5/2. Predict the pattern of lines around a central line from 75% non-magnetic isotope.

Frequently Asked Questions

Question 1. What is MCH-020?

Answer: MCH-020 is an IGNOU course titled Atomic and Molecular Spectroscopy. It focuses on the principles, techniques, and applications of spectroscopy for studying the structure and properties of atoms and molecules.

Question 2. What is the assignment code for MCH-020?

Answer: The assignment code for the 2026–27 Session is MCH-020/TMA/2026-27.

Question 3. How many marks is the MCH-020 assignment worth?

Answer: The MCH-020 Tutor Marked Assignment carries a maximum of 100 marks.

Question 4. Which topics should students focus on for MCH-020?

Answer: Students should focus on the Fundamentals of Spectroscopy, Electromagnetic Radiation, Rotational Spectroscopy, Vibrational Spectroscopy, Electronic Spectroscopy, Atomic Spectroscopy, UV-Visible Spectroscopy, NMR, ESR/EPR, and Spectroscopic Applications.

Question 5. Why is MCH-020 important?

Answer: MCH-020 helps students understand how spectroscopic techniques are used to investigate atomic and molecular structures. It provides essential knowledge for chemical identification, structural determination, qualitative and quantitative analysis, and scientific research.

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