(a)
Interpretation:
The individual lines detected for
Concept introduction:
The shifting and splitting of spectra lines of atoms and molecules when the molecule is subjected under external electric field is known as Stark-effect. The emission and absorption lines are observed in Stark-effect.
(b)
Interpretation:
The individual lines detected for
Concept introduction:
The shifting and splitting of spectra lines of atoms and molecules when the molecule is subjected under external electric field is known as Stark-effect. The emission and absorption lines are observed in Stark-effect.
(c)
Interpretation:
The individual lines detected for
Concept introduction:
The shifting and splitting of spectra lines of atoms and molecules when the molecule is subjected under external electric field is known as Stark-effect. The emission and absorption lines are observed in Stark-effect.
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Physical Chemistry
- What is the physical explanation of the difference between a particle having the 3-D rotational wavefunction 3,2 and an identical particle having the wavefunction 3,2?arrow_forwardAssume that the states of the π electrons of a conjugated molecule can be approximated by the wavefunctions of a particle in a one-dimensional box, and that the magnitude of the dipole moment can be related to the displacement along this length by μ = −ex. Show that the transition probability for the transition n = 1 → n = 2 is non-zero, whereas that for n = 1 → n = 3 is zero. Hints: The following relation will be useful: sin x sin y = 1/2cos(x − y) − 1/2cos(x + y). Relevant integrals are given in the Resource section.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_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_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_forward3 The rotation motion of HCl molecules can be analyzed by treating each molecule as a rigid rotational constant B= 2.07x10^-22 Joules. a) what frequency of radiation will excite the transition from the J=1 energy level to the J=2 level in this case? b) what is the relative probability of observing an HCl molecule at the J=2 energy level, as compared to teh J=1 level, at 25.00 degrees C?arrow_forward
- Which of the following transitions are electric-dipole allowed?(i) 1Σg+ ↔ 1Σu+, (ii) 3Σg+ ↔ 3Σu+, (iii) π* ↔ n.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_forwardThe ground-state wavefunction for a particle confined to a one dimensional box of length L is Ψ =(2/L)½ sin (πx/L) Suppose the box 10.0 nm long. Calculate the probability that the particle is: (a) between x = 4.95 nm and 5.05 nm (b) between 1.95 nm and 2.05 nm, (c) between x = 9.90 and 10.00 nm, (d) in the right half of the box and (e) in the central third of the box.arrow_forward
- Q/ The bond length of the C0O molecule is 112.8 pm. Calculate the following (a) The reduced mass. (b) The rotational constant of CO when moment of inertia (I) is 1.4486 x 1046 kg.m² (c) Calculate the wavelength of the photon absorbed when a CO molecule initially in the J=2 level. makes a transition to the J=3 level.arrow_forwardA rotating methane molecule is described by the quantum numbers J, MJ, and K. (a) For methane, how many rotational states have an energy equal to hBJ(J + 1) with J= 8? (b) Now consider chloromethane. How many rotationalstates have an energy equal to hBJ(J + 1) with J = 8?arrow_forwardA diatomic molecule containing 35Cl and another atom has a rotational transition from J=0 to J=1 corresponding to a frequency of 7.70×109 Hz. The bond length is 267 pm. Use this information to calculate the reduced mass of the molecule, then find the atomic mass number of the other atom.arrow_forward
- Physical ChemistryChemistryISBN:9781133958437Author:Ball, David W. (david Warren), BAER, TomasPublisher:Wadsworth Cengage Learning,