Group Theory · Physical Chemistry

80 questions in this chapter.

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 C3 V 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 =p1+2p2+2p3+p4 and =p1-2p2-2p3+p4 (where pk is the p-orbital… · DEC 2011
ABC26PH1045 · The character table of the C2 v point group is given below: 1 atom of cis-butadiene and is the molecular plane) belong to · JUNE 2011
ABC26PH0459 · The number of irreducible representations of the point group of the molecule is: · 2005-2021
ABC26PH1048 · Character table of C2 V point group is: If the initial and final states belong to A1 and B1 irreducible representation respectively, the… · JUNE 2011
ABC26PH0462 · The Td point group has 24 elements and 5 classes. Given that it has two 3 - dimensional irreducible representa tion, the number of one… · 2005-2021
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
ABC26PH1052 · Identify the Mulliken notation for the following irreducible representation 2 · JUNE 2011
ABC26PH1054 · The transition that is allowed by x-polarized light in trans-butadiene is (The character table for C2h is given below) · JUNE 2011
ABC26PH1057 · The E E direct product in D3 point group contains the irreducible representations · JUNE 2011
ABC26PH1060 · The character table of C2 v point group is given below. In cis-butadiene molecule the vibrational modes belonging to A2 irreducible… · DEC 2014
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 C2 h are Ag, Bg, Au and Bu. The Raman active modes of trans- 1, 3 butadiene belong to the irreducible… · DEC 2011
ABC26PH0086 · The character table for the D4 point group is provided below: For this point group, the correct statement among the following is: · JUNE 2016
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
ABC26PH1075 · For a point group, an incomplete character table is given below with one irreducible representation missing The Mulliken symbol and… · DEC 2017
ABC26PH1076 · Given below is a specific vibrational mode of BCl3 with ⊕ and ⊖ denoting movements of the respective atoms above and below the plane of the… · DEC 2017
ABC26PH1078 · A part of the character table of a point group (of order 4) is given below The four characters of 4 are, respectively · DEC 2017
ABC26PH0088 · The -orbital of ethylene, when placed in the xy-plane with the C=C bond aligned to the x-axis, transforms according to the irreducible… · DEC 2018 self-practice
ABC26PH1080 · The -orbital of ethylene, when placed in the xy -plane with the C=C bond aligned to the x -axis, transforms according to the irreducible… · DEC 2017
ABC26PH1082 · The pi -orbital p1+p2-p3-p4 of cis-butadiene belongs to the irreducible representation · JUNE 2019
ABC26PH0090 · The reducible representation , in the table is equal to the following superposition of the irreducible representation of C2v point group. · DEC 2019
ABC26PH1085 · The reducible representation , in the table is equal to the following superposition of the irreducible representation of C2v point group. · DEC 2019
ABC26PH1086 · The following is the character table for the C2 v point group There are two functions f1 and f2 belonging to A2 and B1 representations… · 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
ABC26PH0467 · The number of C2 axes in CCl4 is ____ · 2005-2021 self-practice
ABC26PH1056 · Number of rotational symmetry axes for triclinic crystal system is · JUNE 2011
ABC26PH0469 · The mirror image of the above text about the x -axis is · 2005-2021 self-practice
ABC26PH1058 · The result of the product C2(x) C2(y) is · JUNE 2011
ABC26PH0082 · The product C2x ( C2x is the two-fold rotation axis around the x-axis and is the xy mirror plane) is · JUNE 2015
ABC26PH1062 · The product C2x ( C2x is the two-fold rotation axis around the x-axis and 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 C 2 axis of symmetry among the following is · DEC 2017
ABC26PH1081 · The b_1 u b 2 g transition in ethylene is (Use Table 1) · 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… · DEC 2019
ABC26PH1087 · 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… · DEC 2019
ABC26PH0092 · Given the matrices for C3 and below C3=pmatrix -1/2 & -√(3)2 & 0 \\ √(3)2 & -1/2 & 0 \\ 0 & 0 & 1 pmatrix =pmatrix 1 & 0 & 0 \\ 0 & 1 & 0… · DEC 2019
ABC26PH1088 · Given the matrices for C3 and below C3=bmatrix -1/2 & -√(3)2 & 0 \\ √(3)2 & -1/2 & 0 \\ 0 & 0 & 1 bmatrix =bmatrix 1 & 0 & 0 \\ 0 & 1 & 0… · DEC 2019

Reducible Representations

ABC26PH1042 · Given the character table of the point group C3 V Consider the reducible representation, Its irreducible components are · JUNE 2011
ABC26PH0468 · The character table for a pyramidal AB3 molecule of C3 v point group is given below: The reducible representation of pyramidal AB3 is The… · 2005-2021 self-practice
ABC26PH1070 · The character table of C3 v point group is provided below, along with an additional reducible representation, 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