(a)
Interpretation:
The symmetry and the number of IR-active vibrations for
Concept introduction:
The number of vibrations or degree of freedom of linear molecule is
(b)
Interpretation:
The symmetry and the number of IR-active vibrations for
Concept introduction:
The number of vibrations or degree of freedom of linear molecule is
(c)
Interpretation:
The symmetry and the number of IR-active vibrations for
Concept introduction:
The number of vibrations or degree of freedom of linear molecule is
(d)
Interpretation:
The symmetry and the number of IR-active vibrations for formaldehyde
Concept introduction:
The number of vibrations or degree of freedom of linear molecule is
(e)
Interpretation:
The symmetry and the number of IR-active vibrations for
Concept introduction:
The number of vibrations or degree of freedom of linear molecule is
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Physical Chemistry
- Determine the number of total degrees of freedom and the number of vibrational degrees of freedom for the following species. a Hydrogen sulfide, H2S b Carbonyl sulfide, OCS c The sulfate ion, SO42 d Phosgene, COCl2 e Elemental chlorine, Cl2 f A linear molecule having 20 atoms g A nonlinear molecule having 20 atomsarrow_forwardHow many normal modes of vibration are there for the following molecules and, in each case, briefly explain why this is so: (i) C6H6, (ii) C6H5CH3, and (iii) HC≡C−C≡CH?arrow_forwardWhat are the symmetry species of the vibrations of a) SF6, b) BF3 that are both IR and Raman active?arrow_forward
- What is the most highly populated rotational level of Cl2 at (i) 25 °C, (ii) 100 °C? Take ᷉ B = 0.244 cm−1.arrow_forwardHow many vibrational modes does an SO3 molecule have a) in the plane of the nuclei, b) perpendicular to the molecular plane? c) Classify them by their symmetry type.arrow_forwardCalculate the rotational energy of CO at J=2 given a bond length of 1.0 Å. unit in eV.arrow_forward
- The rotational constant for CO is 1.9314 cm−1 and 1.6116 cm−1 in the ground and first excited vibrational states, respectively. By how much does the internuclear distance change as a result of this transition?arrow_forwardUse symmetry properties to determine whether or not the integral ∫pxzpzdτ is necessarily zero in a molecule with symmetry D3h.arrow_forwardThe cesium iodide (CsI) molecule has an atomic separationof 0.127 nm. (a) Determine the energy of thesecond excited rotational state, with J = 2. (b) Find thefrequency of the photon absorbed in the J =1 to J = 2transition.arrow_forward
- Is the transition A1g → E2u forbidden for electric dipole transitions in a D6h molecule?arrow_forwardThe J = 0 to J = 1 rotational transition of the CO molecule occurs at a frequency of 1.15 x 1011 Hz.(A) Use this information to calculate the moment of inertia of the molecule. (B) Calculate the bond length of the molecule.arrow_forwardExplain the occurrence of P and R branches in the rotational fine structure of a vibrational transition of a diatomic molecule such as HCl or CO.arrow_forward
- Physical ChemistryChemistryISBN:9781133958437Author:Ball, David W. (david Warren), BAER, TomasPublisher:Wadsworth Cengage Learning,Principles of Modern ChemistryChemistryISBN:9781305079113Author:David W. Oxtoby, H. Pat Gillis, Laurie J. ButlerPublisher:Cengage Learning