(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 the 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 the 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 the 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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- (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_forwardP7E.1 If the vibration of a diatomic A-B is modelled using a harmonic oscillator, the vibrational frequency is given by w=(k; /u)", where u is the effective mass, µ=m,m,/(m, +m,). If atom A is substituted by an isotope (for example H substituted for 'H), then to a good approximation the force constant remains the same. Why? (Hint: Is there any change in the number of charged species?) (a) Show that when an isotopic substitution is made for atom A, such that its mass changes from m, to m, the vibrational frequency of A'-B, wAp can be expressed in terms of the vibrational frequency of A-B, @ An as o x=0 A (H/H", where u AB and u, are the effective masses of A-B and A'-B, respectively. (b) The vibrational frequency of 'HCl is 5.63 x 10"s". Calculate the vibrational frequency of (i) 'H*Cl and (ii) 'H"Cl. Use integer relative atomic masses. A'Barrow_forwardThe C-H bond in ethanol vibrates at a frequency of 3000 cm ¹. What frequency (s 1) of light is required to change the vibrational quantum number from v=0 to v=1, assuming that C-H acts as a harmonic oscillator.arrow_forward
- Covalent bonds in a molecule absorb radiation in the IR region and vibrate at characteristic frequencies. (a) The C---O bond absorbs radiation of wavelength 9.6 mm. What frequency (in s-1) corresponds to that wavelength? (b) The H---Cl bond has a frequency of vibration of 8.652x1013 Hz. What wavelength (in mm) corresponds to that frequency?arrow_forward8C.4 (a) the moment of inertia of a CH4 molecule is 5.27 x 10^-47 kg m^2. What is the minimum energy needed to start it rotating? 8C.5 (a) use the data in 8C.4 (a) to calculate the energy needed excite a CH4 molecule from a state with l=1 to a state with l=2arrow_forwardBe sure to answer all parts. Covalent bonds in a molecule absorb radiation in the IR region and vibrate at characteristic frequencies. (a) A molecular vibration absorbs radiation of wavelength 28.3 um. What frequency (in s) corresponds to that wavelength? Enter your answer in scientific notation. x 10 (b) A molecular vibration has a frequency of vibration of 7.574 x 10" Hz. What wavelength (in um) corresponds to that frequency? umarrow_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_forwardC) (A) Which molecule has a chemical formula of C₁0H17CIO OH (C) 4 OH -CI (D) ^ 67. Which bond in this molecule will have a vibrational stretching frequency located at 1,742 cm ¹2 (B) (D) HO H CI OH OH (B) (D)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_forward
- Covalent bonds in a molecule absorb radiation in the IR re-gion and vibrate at characteristic frequencies.(a) The C—O bond absorbs radiation of wavelength 9.6 μm.What frequency (in s⁻¹) corresponds to that wavelength?(b) The H—Cl bond has a frequency of vibration of 8.652x10^13Hz. What wavelength (in μm) corresponds to that frequency?arrow_forwardSound waves, like light waves, can interfere with each other, giving maximum and minimum levels of sound. Suppose a listener standing directly between two loudspeakers hears the same tone being emitted from both. This listener observes that when one of the speakers ismoved 0.16 m farther away, the perceived intensity of thetone decreases from a maximum to a minimum.(a) Calculate the wavelength of the sound.(b) Calculate its frequency, using 343 m s-1as the speedof sound.arrow_forwardDoes the absorption spectrum of the diatomic molecule HCl depend on the isotope of chlorine contained in the molecule? Explain your reasoning.arrow_forward
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