In quantum mechanics the basis for selection rule is determined by ffinding the value of the transition moment integral
Now
are the wave function of the two states involved in the
transition and
is the transition moment operator. This integral represent the
propagator of the transition between states. Therefore if the value
of this integral is zero then the transition is forbidden. Now for
j=0 to j=0 states the value of this integral is calculated to be
zero. So this transition is forbidden in the selection rule.
Quantum Mechanics : (Selection rule) Discuss the physical basis for the selection rule that a transition...
2C. In quantum mechanics what is the maximum angular momentum of an electron in the n = 4 quantum state of the hydrogen atom? 2D. In quantum mechanics what is the maximum value for the z-component of the angular momentum of the electron in the n = 3 quantum state of the hydrogen atom?
2) (5 points) A hydrogen atom at rest is in a state of quantum number n=6. The electron jumps to a lower state, emitting a photon of energy 1.13 eV. (a) What is the quantum number of the state to which the electron jumped? (b) What is the ratio of the angular momentum of the electron after the emission of the photon? (c) Estimate the recoil speed of the hydrogen atom due to emission of the photon.
A hydrogen atom is in the n = 6 state. Determine, according to quantum mechanics, (a) the total energy (in eV) of the atom, (b) the magnitude of the maximum angular momentum the electron can have in this state, and (c) the maximum value that the z component Lz of the angular momentum can have.
Module 3: Quantum Numbers and Selection Rules Worksheet Concept Map: Designation of quantum states, selection rules for transitions. y The Cppie me teidree s Comp Mar MandChange z . Table 7.2 The Hierarchy of Quantum Numbers for Atomic Orbitals Name, Symbol (Property) Allowed Values Quantum Numbers Positive integer (1,2, 3,. Principal, n (size, energy) Angular momentum, / (shape) 0 to n 1 Magnetic, m - 0, +1 0 (orientation) -1 0+1 0 0 -1 0+1 -2-10+1+2 M hyh op e...
Quantum Mechanics:
(Angular momentum) Write down the Hamiltonian of a rigid body in terms of angular momentum operators and the principal moments of inertia. Discuss the commutation relations for both space-fixed axes and body-fixed axes. Discuss the special case-spherical top, obtain the eigenvalues of the Hamiltonian for the spherical top.
Quantum mechanics.
Consider a quadratic oscillator with time dependent frequency
(1).
Find the rules of selection for transitions between
eigenstates of (2). If at t=0 the system is in the ground state of
H_0, calculate the
probabilities of transition to the different excited
states.
) 2 mwL1+esin (Bt] x H(e)= + 2m H. HCe=0) . 2)
) 2 mwL1+esin (Bt] x H(e)= + 2m H. HCe=0) . 2)
e) Answer the questions using quantum selection rule and transition-types. i. [Mn(OH2)6]** is essentially colorless. Why is this? ii. Besides colorless (Mn(OH2)], the other hexaaqua first-row transition metal complexes are only faintly colored. Why is this? iii. [Cu"(L)4]?* salts are often quite dark in comparison. Why is this? iv. The [Mnacac)3] and [Fe"(bipy)s] - complexes are even darker than all the above complexes. What kind of transitions are responsible?
he physical theories which form the basis for the facts that make up chemistry are... a) Classical mechanics and quantum mechanics b) Statistical mechanics and quantum mechanics c) General relativity and statistical mechanics d) Statistical mechanics and classical mechanics 2. The forward rate of a chemical reaction... a) b) c) d) Decreases from its initial value until the forward rate equals the reverse rate Decreases from its initial value until it is zero Increases from its initial value until its...
State the selection rule that a diatomic molecule must comply with in order to have a microwave spectrum and, with the aid of a diagram, explain the physical basis of this selection rule.
A hydrogen atom undergoes a transition from the 3p state to the
4d state.
1- Write a set of possible quantum number that describes the
initial and final states
2- Calculate the change in energy
3- Calculate the change in angular momentum
A hydrogen atom undergoes a transition from the 3p state to the 4d state. 1. Write a set of possible quantum number that describes the initial and final states 2- Calculate the change in energy 3- Calculate the...