(a)
Interpretation:
The inverse symmetry operation of the given symmetry operation is to be predicted.
Concept introduction:
A symmetry operation is defined as an action on an object to reproduce an arrangement that is identical to its original spatial arrangement. The spatial arrangement of the object remains identical after a symmetry operation. The point of reference through which a symmetry operation takes place is termed as a symmetry element.
(b)
Interpretation:
The inverse symmetry operation of the given symmetry operation is to be predicted.
Concept introduction:
A symmetry operation is defined as an action on an object to reproduce an arrangement that is identical to its original spatial arrangement. The spatial arrangement of the object remains identical after a symmetry operation. The point of reference through which a symmetry operation takes place is termed as a symmetry element.
(c)
Interpretation:
The inverse symmetry operation of the given symmetry operation is to be predicted.
Concept introduction:
A symmetry operation is defined as an action on an object to reproduce an arrangement that is identical to its original spatial arrangement. The spatial arrangement of the object remains identical after a symmetry operation. The point of reference through which a symmetry operation takes place is termed as a symmetry element.
(d)
Interpretation:
The inverse symmetry operation of the given symmetry operation is to be predicted.
Concept introduction:
A symmetry operation is defined as an action on an object to reproduce an arrangement that is identical to its original spatial arrangement. The spatial arrangement of the object remains identical after a symmetry operation. The point of reference through which a symmetry operation takes place is termed as a symmetry element.
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Physical Chemistry
- 1. List the symmetry elements of the molecules. A C D CH 3 H₂N en H H₂N HC HC C1 Co Br C1 Co CI H CH 3 H NH3 CH (assume CH 3 spherical) + CH NH3 (assume NH3 spherical) enarrow_forward6- What is the difference between the symmetry operators and point groups of NF3 and NF2CIarrow_forward(a) Show that all reciprocal lattice vectors of the form G= hA+ kB+IC are perpendicular to the planes of the same indices (h, k, l) in real space.arrow_forward
- P10C.8 Consider the molecule F2C=CF2 (point group D2h), and take it as lying in the xy-plane, with x directed along the C–C bond. (a) Consider a basis formed from the four 2pz orbitals from the fluorine atoms: show that the basis spans B1u, B2g, B3g, and Au. (b) By applying the projection formula to one of the 2pz orbitals, generate the SALCs with the indicated symmetries. (c) Repeat the process for a basis formed from four 2px orbitals (the symmetry species will be different from those for 2pz).arrow_forwardWhat are the symmetry elements of C4H8 assuming CH3 is spherical?arrow_forwardPCl3 belong to C3V point group ? (b) Write down the totally symmetric representation of the point group of PCl3. (c) What is a symmetry-adapted linear combination of atomic orbitals? (d) Construct a linear-combination of 3s(Cl) atomic orbitals, ?1, such that ?1 belongs to the totally symmetric representation of the point group of PCl3. (e) Construct a linear-combination of 3p(Cl) atomic orbitals, ?2, such that ?2 belongs to the totally symmetric representation of the point group of PCl3.arrow_forward
- Since we use wavefunctions to describe the motion of the electron around the nucleus, the reference point is the origin (0,0,0) in Cartesian or spherical coordinates. Describe the following wave functions as symmetric (even), antisymmetric (odd), or neither (unsymmetric or asymmetric) with reference to the orgin: A sketch will assist you in your determination of the symmetry a. (a) Y (0) = cos (0) Type equation here. b. (b) Y (0) = cos (0 )sin(0); c. (c) Y (x) = Ae*, where A is a constant; d. (d) Y (x)=x", where n is odd; and e. (e). (x)=x+x².arrow_forward9A.2 Write the valence bond wavefunction of the o bond in a C-H group of a molecule.arrow_forwardFor the point group D3h, confirm that the irreducible representation E′ is orthogonal (in the sense defined by eqn 10B.7) to the irreducible representations A′1, A′2 , and E″.arrow_forward
- Consider the molecule CH3Cl. (a) To what point group does the molecule belong? (b) How many normal modes of vibration does the molecule have? (c) What are the symmetry species of the normal modes of vibration of this molecule? (d) Which of the vibrational modes of this molecule are infrared active? (e) Which of the vibrational modes of this molecule are Raman active?arrow_forwardWhich of the following transitions are electric-dipole allowed?(i) 1Σg+ ↔ 1Σu+, (ii) 3Σg+ ↔ 3Σu+, (iii) π* ↔ n.arrow_forward(a) Draw a Lewis diagram for formaldehyde (H,CO), and decide the hybridization of the central carbon atom. (b) Formulate the molecular orbitals for the molecule. (c) A strong absorption is observed in the ultraviolet region of the spectrum and is attributed to a → T* transition. Another, weaker transition is observed atarrow_forward
- Chemistry: The Molecular ScienceChemistryISBN:9781285199047Author:John W. Moore, Conrad L. StanitskiPublisher:Cengage Learning