(a)
Interpretation:
Whether
Concept introduction:
Vibrational spectroscopy is observed due to vibration of accompanied in a molecule. The molecule possessing vibrational spectrum undergoes a change in its dipole moment for a particular mode of vibration.
(b)
Interpretation:
Whether
Concept introduction:
Vibrational spectroscopy is observed due to vibration of accompanied in a molecule. The molecule possessing vibrational spectrum undergoes a change in its dipole moment for a particular mode of vibration.
(c)
Interpretation:
Whether
Concept introduction:
Vibrational spectroscopy is observed due to vibration of accompanied in a molecule. The molecule possessing vibrational spectrum undergoes a change in its dipole moment for a particular mode of vibration.
(d)
Interpretation:
Whether
Concept introduction:
Vibrational spectroscopy is observed due to vibration of accompanied in a molecule. The molecule possessing vibrational spectrum undergoes a change in its dipole moment for a particular mode of vibration.
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EBK PHYSICAL CHEMISTRY
- Rotational spectra are affected slightly by the fact that different isotopes have different masses. Suppose a sample of the common isotope 1H35Cl is changed to 1H37Cl. (a) By what fraction is the molecule’s rotational inertia different? (The bond length is 0.127 nm in each case.) (b) What is the change in energy of theℓ = 1 to theℓ = 0 transition if the isotope is changed?arrow_forward3. ^14N^16O (the superscripts represent the atomic mass number) (a) NO molecules rotate at an angular velocity of 2.01x10^12 rev/s, at the quantized rotational state with the rotational quantum number J of 3. Calculate the bond length of NO molecules. (b) Can NO molecules rotate under light irradiation? Explain your answer. (c) Calculate the effective force constant of the vibrational mode of NO at a frequency of 5.63x10^13 Hz measured by the infrared absorption spectrum. (d) NO has a bond energy of 6.29 eV. Applying the parabolic approximation to estimate the longest distance in which N and O atoms can be stretched before the dissociation of the molecular bondarrow_forward(hydrogen iodide, the superscripts represent the atomic mass number) (a) How fast will HI molecules rotate at the quantized rotational state with the rotational quantun number J of 2, given the bond length of 0.161 nim? (b) Calculate the effective force constant of the vibrational mode of HI at a wavenumber of 2300 cm' measured by infrared absorption spectrum. (c) HI has the bond energy of 3.06 eV. Applying the parabolic approximation to estimate the longest distance in which H and I atoms can be stretched before the dissociation of the molecular bondarrow_forward
- 9A.2 Write the valence bond wavefunction of the o bond in a C-H group of a molecule.arrow_forwardβ-Carotene (1) is a linear polyene in which 10 sing le and 11 double bonds alternate along a chain of 22 carbon atoms. If the length of each CC bond is taken to be about 140 pm , then the length L of the molecular box in β-carotene is L = 2.94 nm. Estimate the wavelength of the light absorbed bythis molecule when it undergoes a t rans it ion from its ground state to the next higher excited state.arrow_forwardA normal mode of vibration for H₂O is at 3650 cm Calculate the force constant, k, for H₂O. Assuming the force constant to be the same for H₂O and D₂O. Do you expect the corresponding D₂O wave number to be higher or lower? (Given: The atomic masses for H, D and O are 1.0, 2.0 and 16.0 respectively) (ii)arrow_forward
- Consider HCN, which has three features in its IR spectrum: 946, 2380, and -1 3386 cm¹. (a) Sketch the motions of each normal mode and denote any degeneracies. (b) Assign each feature in the IR spectrum to a normal mode of the molecule. (c) Determine the zero-point energy of HCN.arrow_forwardThe frequency of vibration of a chemical bond is a function of which two (2) factors ?arrow_forward4. The vibrational frequency of 'H³°C1 is 8.963 x 1013 Hz. What is the force X constant of the bond in this molecule?arrow_forward
- (a) For C6H6, the number of vibrational modes is ??? (b) For titanium (Z=22), its electron configuration for the ground state is ??? (c) For ³D, (i) the possible values of J are ??? and (ii) the total degeneracy is ???arrow_forwardExplain the importance of the quantization of vibrational, rotational, and translational energy as it relates to the behavior of atoms and molecules.arrow_forwardThe vibrational frequency of the hydrogen chloride HCl diatomic molecule is 8.97 x 1013Hz. chloride atom is 35.5 times more massive than hydrogen atom. (mµ = 1.67 x 0-27kg,c = 3.0 x 10°m/s) a) What is the force constant of the molecular bond between the hydrogen and the chloride atoms? b) What is the energy of the emitted photon when this molecule makes a transition between adjacent vibrational energy levels? c) What is the wavelength of the emitted photon? d) The possible wavelengths of photons emitted with the HCl molecule decays from the 2nd excited state eventually to the ground state(0 state).arrow_forward
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