As a first approximation to the description of the rotation of a 1 H127I molecule, we...
As a first approximation to the description of the rotation of a 1 H127I molecule, we can imagine an 1 H atom orbiting a heavy, stationary 127I atom at a distance r = 160 pm, the equilibrium bond distance. Calculate the following: a. The first four rotational energy levels (l = 0, l = 1, l = 2, l = 3).
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to convert the energy term in joule multiply with hc value put c=3*1010 cm/sec
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As a first approximation to the description of the rotation of a 1 H127I molecule, we...
3.1) Consider the rotation of the H atom in a HI molecule confined to rotate in...
3.1) Consider the rotation of the H atom in a HI molecule confined to rotate in a plane (a restriction that will be removed in a subsequent problem). Since the I atom is so much more massive than the H atom, it can be viewed as stationary. The radius of gyration will be taken as the bond length (approximately 160 pm). What wavelengtho radiation is needed to undergo a transition from the ground-state to the first excited state if a)...
4. Rotational levels of 1602 Calculate the moment of inertia of the 1"02 molecule given that its ...
Give details.
4. Rotational levels of 1602 Calculate the moment of inertia of the 1"02 molecule given that its bond length is 120.8 pm and that the atomic mass of 160 is 15.9949 g/mol. a. b. Calculate the rotational constant B in cm and the energy of the first 3 rotational states in cm Infer the wavenumber of the first two rotational lines c. Sketch the rotational spectrum of 1602
4. Rotational levels of 1602 Calculate the moment of inertia...
Vibration and Rotation Exercise 4 Part E ReviewI Constants Periodic Table Assume that for H5Cl mo...
Vibration and Rotation Exercise 4 Part E ReviewI Constants Periodic Table Assume that for H5Cl molecule the rotational quantum number J is 9 and vibrational quantum number n0. The isotopic mass of H atom is 1.0078 amu and the isotopic mass of 35CI atom is 34.9688 amu, k 516 N m-1, and Ze = 127.5 pm. Calculate the period for vibration. Express your answer in seconds to three significant figures. Tvibrastional Submit tAn ▼ Part F Calculate the period for...
1 Vibrational states of a diatomic molecule 1. Use Taylor expansion to get a harmonic approximation...
1 Vibrational states of a diatomic molecule 1. Use Taylor expansion to get a harmonic approximation Vharmonic( 0.5k(r Ro2 of the following potential 2. Find the expressions for the equilibrium distance Ro and for the harmonic 3. Calculate the zero point energy in terms of the parameters of the given 4. Calculate the energy of a photon emitted upon a transition between ad- force constant k potential (a, ro and D jacent levels in terms of the parameters of the...
Q10M.9 Consider an HCl molecule. The hydrogen atom irn this molecule has a mass we can look up (s...
Q10M.9 Consider an HCl molecule. The hydrogen atom irn this molecule has a mass we can look up (see the inside front cover), and the chlorine mass is enough larger that we can (to a first degree of approximation) consider it to be fixed. The bond between these atoms has a local minimum .13 nm, and for "small oscillations" around that minimum, the bond's potential energy can be modeled as a harmonic oscillator potential energy function. Suppose we find that...
Calculate the energies of the first four rotational levels of 1 H127I free to rotate in...
Calculate the energies of the first four rotational levels of 1 H127I free to rotate in three dimensions, using for its moment of inertia I=µR2 , with µ=mHmI /(mH+mI ) and R=160 pm.
The equilibrium internuclear distance in H35Cl molecule is 127.5 pm. (a) Calculate the reduced mass and...
The equilibrium internuclear distance in H35Cl molecule is 127.5 pm. (a) Calculate the reduced mass and moment of inertia of the molecule. (b) Determine the values of angular momentum L, projection of angular momentum Lz, energy E for the rotational quantum state with J=1.
Compute the interatomic distance between two atoms inside a diatomic molecule given spectroscopic data (the rotational t...
Compute the interatomic distance between two atoms inside a diatomic molecule given spectroscopic data (the rotational temperature) Θ r o t This problem has two questions. The first is for a real molecule . The second is a hypothetical molecule (made up atomic masses and Θ r o t ) 1) compute the internuclear separation for 35Cl2 in picometers (pm). For consistent mass data use values from: 2) Consider a hypothetical diatomic molecule where the mass of atom 1 =...
We study the vibrations in a diatomic molecule with the reduced mass m. Let x =...
We study the vibrations in a diatomic molecule with the reduced mass m. Let x = R − Re, which is the bonding distance deviation from equilibrium distance. Hamiltonian operator consist of two parts: H = H(0) + H(1), where H(0) is the Hamiltonian operator to a harmonic oscillator with force constant k, and H(1) = λx3 (λ is a constant < 0). * Calculate the first order correction to the energy state v.
Solve the LAST ONE INCLUDE ALL THE STEPS The force constant for the carbon monoxide molecule is 1,908 N m At 1,000 K what is the probability that the molecule will be found in the lowest excited state...
Solve the LAST ONE INCLUDE ALL
THE STEPS
The force constant for the carbon monoxide molecule is 1,908 N m At 1,000 K what is the probability that the molecule will be found in the lowest excited state? At a given temperature the rotational states of molecules are distributed according to the Boltzmann distribution. Of the hydrogen molecules in the ground state estimate the ratio of the number in the ground rotational state to the number in the first excited...
3.1) Consider the rotation of the H atom in a HI molecule confined to rotate in a plane (a restriction that will be removed in a subsequent problem). Since the I atom is so much more massive than the H atom, it can be viewed as stationary. The radius of gyration will be taken as the bond length (approximately 160 pm). What wavelengtho radiation is needed to undergo a transition from the ground-state to the first excited state if a)...
Give details.
4. Rotational levels of 1602 Calculate the moment of inertia of the 1"02 molecule given that its bond length is 120.8 pm and that the atomic mass of 160 is 15.9949 g/mol. a. b. Calculate the rotational constant B in cm and the energy of the first 3 rotational states in cm Infer the wavenumber of the first two rotational lines c. Sketch the rotational spectrum of 1602
4. Rotational levels of 1602 Calculate the moment of inertia...
Vibration and Rotation Exercise 4 Part E ReviewI Constants Periodic Table Assume that for H5Cl molecule the rotational quantum number J is 9 and vibrational quantum number n0. The isotopic mass of H atom is 1.0078 amu and the isotopic mass of 35CI atom is 34.9688 amu, k 516 N m-1, and Ze = 127.5 pm. Calculate the period for vibration. Express your answer in seconds to three significant figures. Tvibrastional Submit tAn ▼ Part F Calculate the period for...
1 Vibrational states of a diatomic molecule 1. Use Taylor expansion to get a harmonic approximation Vharmonic( 0.5k(r Ro2 of the following potential 2. Find the expressions for the equilibrium distance Ro and for the harmonic 3. Calculate the zero point energy in terms of the parameters of the given 4. Calculate the energy of a photon emitted upon a transition between ad- force constant k potential (a, ro and D jacent levels in terms of the parameters of the...
Q10M.9 Consider an HCl molecule. The hydrogen atom irn this molecule has a mass we can look up (see the inside front cover), and the chlorine mass is enough larger that we can (to a first degree of approximation) consider it to be fixed. The bond between these atoms has a local minimum .13 nm, and for "small oscillations" around that minimum, the bond's potential energy can be modeled as a harmonic oscillator potential energy function. Suppose we find that...
Solve the LAST ONE INCLUDE ALL
THE STEPS
The force constant for the carbon monoxide molecule is 1,908 N m At 1,000 K what is the probability that the molecule will be found in the lowest excited state? At a given temperature the rotational states of molecules are distributed according to the Boltzmann distribution. Of the hydrogen molecules in the ground state estimate the ratio of the number in the ground rotational state to the number in the first excited...
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