Group Theory
46 questions in this chapter.
Study loop for Group Theory
1. Practise the PYQsPrevious-year questions, with answers
Applications To Spectroscopy
ABC26PH1050 · The number of IR active vibrational modes of pyridine is: · JUNE 2011
Character Tables
ABC26PH1043 · Refer to the character table of the point group C3v given above. Find which of the following transition is forbidden · JUNE 2011
ABC26PH0078 · The character table of the C2v point group is given below: The two functions varphi = p1 + 2p2 + 2p3 + p4 and varphi = p1 - 2p2 - 2p3 + p4… · DEC 2011
ABC26PH1048 · Character table of C2v point group is: If the initial and final states belong to A1 and B1 irreducible representation respectively, the… · JUNE 2011
ABC26PH0463 · The point group of ClF3 molecule and its corresponding number of irreducible representation are respectively. · 2005-2021
ABC26PH0079 · Identify the Mulliken notation for the following irreducible representation · JUNE 2013
ABC26PH1057 · The E × E direct product in D3 point group contains the irreducible representations · JUNE 2011
ABC26PH0084 · IR active normal modes of methane belong to the irreducible representation: · JUNE 2015
ABC26PH1064 · IR active normal modes of methane belong to the irreducible representation: · DEC 2015
ABC26PH1066 · The irreducible representations of C2h are Ag, Bg, Au and Bu. The Raman active modes of trans-1,3-butadiene belong to the irreducible… · DEC 2011
ABC26PH1069 · The character table for the D4 point group is provided below: For this point group, the correct statement among the following is: · DEC 2011
ABC26PH1082 · The pi -orbital p1 + p2 - p3 - p4 of cis-butadiene belongs to the irreducible representation · JUNE 2019
ABC26PH0090 · The reducible representation Gamma, in the table is equal to the following superposition of the irreducible representation of C2v point… · DEC 2019
Group Theory – General
ABC26PH0457 · The S2 operation on a molecule with the axis of rotation as the z axis, moves a nucleus at (x, y, z) to · 2005-2021
ABC26PH0466 · Conversion of boron trifluoride to tetrafluoroborate accompanies · 2005-2021
ABC26PH1056 · Number of rotational symmetry axes for triclinic crystal system is · JUNE 2011
ABC26PH1058 · The result of the product C2(x)C2(y) is · JUNE 2011
ABC26PH0082 · The product C2x · sigma xy (C2x is the two-fold rotation axis around the x-axis and sigma xy is the xy mirror plane) is · JUNE 2015
ABC26PH1062 · The product C2x. sigma xy (C2x is the two-fold rotation axis around the x-axis and sigma xy is the xy mirror plane) is · DEC 2015
ABC26PH0083 · A molecular orbital of a diatomic molecule changes sign when it is rotated by 180° around the molecular axis. This orbital is · JUNE 2015
ABC26PH1063 · A molecular orbital of a diatomic molecule changes sign when it is rotated by 180° around the molecular axis. This orbital is · DEC 2015
ABC26PH1071 · The molecule that possesses symmetry S4 element is · DEC 2011
ABC26PH1072 · For H2O molecule, the electronic transition from the ground state to an excited state of B1 symmetry is · DEC 2011
ABC26PH1077 · The molecule with a C2 axis of symmetry among the following is · DEC 2017
ABC26PH0091 · The observed IR spectrum of BCl3 exhibits three bands at 995, 480 and 244 cm-1, while the Raman bands are observed at 995, 471 and 244… · DEC 2019
ABC26PH0092 · Given the matrices for C3 and sigma h below C3 = -1/2 -√(3/2) 0 √(3/2) -1/2 0 0 0 1 sigma h = 1 0 0 0 1 0 0 0 1 the trace of the matrix… · DEC 2019
Reducible Representations
ABC26PH1070 · The character table of C3v point group is provided below, along with an additional reducible representation, Gamma Gamma is given by · DEC 2011
Symmetry Elements Point Groups
ABC26PH0455 · A molecule has a 2-fold axis and a mirror plane perpendicular to that. The point group must have a · 2005-2021
ABC26PH0077 · The symmetry point group of ethane in its staggered conformation is · DEC 2011
ABC26PH0456 · The symmetry elements that are present in BF3 are · 2005-2021
ABC26PH1044 · The symmetry point group of ethane in its staggered conformation is · JUNE 2011
ABC26PH1046 · Among the following, the CORRECT statement is: · JUNE 2011
ABC26PH1047 · A square pyramidal, MX4, molecule belongs to C4v point group. The symmetry operations are: E, 2C4, C2, 2 sigma v and 2 sigma d. The trace… · JUNE 2011
ABC26PH1051 · A molecules contains the following symmetry operations: E, 2C6, 2C3, C2, 3 sigma d, 3 sigma v. The number of classes and order of the… · JUNE 2011
ABC26PH1055 · The symmetry point group of propyne is · JUNE 2011
ABC26PH0081 · The product sigma xy.S4z (S4z is the four fold improper axis of rotation around the z-axis, and sigma xy is the reflection in the xy plane)… · DEC 2014
ABC26PH1061 · The product sigma xy.S4z (S4z is the four fold improper axis of rotation around the z-axis, and sigma xy is the reflection in the xy plane)… · DEC 2014
ABC26PH1065 · The molecule diborane belongs to the symmetry point group · DEC 2011
ABC26PH1067 · The symmetry point group of the most stable geometry of the following molecule Cl(H)C=C=C(H)Cl is · DEC 2011
ABC26PH0085 · The point group obtained by adding symmetry operation sigma h to the point group C4 is · JUNE 2016
ABC26PH1074 · The correct relation involving symmetry operations · DEC 2017
ABC26PH0089 · A cube does not have the symmetry element · DEC 2019
ABC26PH1089 · For every atom that is NOT shifted under C4 and sigma symmetry operations, the characters are respectively. · DEC 2019
ABC26PH1090 · The equivalent symmetry operations for S63 and S36 are, respectively · DEC 2019