Question: Using perturbation theory, derive the following expression for the matrix element pertinent to radiationless relaxation. How does this result compare to the vibronic coupling responsible

Using perturbation theory, derive the following expression for the matrix element pertinent to radiationless relaxation. $(v.20.) We 8 aQk \a\ el aQk E(Q)-E(Q) Y8 We$

How does this result compare to the vibronic coupling responsible for activation of nominally forbidden electronic transitions? Does this problem explain how the neglect of the matrix element

might be justified?

(v.20.) We 8 aQk \a\ el aQk E(Q)-E(Q) Y8 We

Step by Step Solution

★★★★★

3.29 Rating (161 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

The equations youve provided relate to the quantum mechanical treatment of molecular vibrations and electronic transitions using perturbation theory H... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Molecular Spectroscopy Questions!

This problem asks you to analyze the ISLM model algebraically. Suppose consumption is a linear function of disposable income: C(Y T) = a + b(Y T), where a > 0 and 0

The results of a national survey showed that on average, adults sleep 6.9 hours per night. Suppose that the standard deviation is 1.2 hours. a. Use Chebyshevs theorem to calculate the percentage of...

To a good approximation, w hat is the molar volume of ethanol vapor at 480(C and 6,000 kPa? How does this result compare with the ideal-gas value?

Perturbation theory comprises mathematical methods for finding an approximate solution to a problem, by starting from the exact solution of a related, simpler problem. A critical feature of the...

Q. Consider the wavefunction of an electron defined by the following ID Hamiltonian: H(x) = _ d 2maz tax + Be " Cos[xx] Outline how you could solve for the energy of the ground state wavefunction for...

Just C, D and E please! Consider a particle in a box Hamiltonian with a slightly slanted bottom, attributed to the presence of a uniform electric field across the length of the box. The Hamiltonian...

A two-level system with states a and , whose energy levels differ by Eb - Ea = hwo, is initially in the state a. It is then exposed to two short pulses, V'(t) = Vo[8(t) + 8(t - T)], (3) where T> 0 is...

Calculate the first-order correction to the energy of a harmonic oscillator, E v (1) , using the perturbation operator H' = bq 2 + dq 4 as defined. Compare your result to that obtained using...

Consider the equation of motion \[\frac{d^{2} u}{d \varphi^{2}}+u-\frac{1}{p}=3 \lambda u^{2}\] where $p$ and $\lambda$ are constants. Find the solution using perturbation theory to first order...

A circular cylinder is fitted with two surface - mounted pressure sensors , to measure p a at = 1 8 0 and p b at = 1 0 5 . The intention is to use the cylinder as a stream velocimeter. Using inviscid...

Chau, Hui, and Lu are considering buying a bond. Bond A has face value $2,000, matures in 5 years, pays a coupon of 4% and costs $1914.70. Bond B has face value $1,000, matures in 10 years, pays a...

Gene is a new staff-level auditor on the audit of CalPower, a publicly traded energy and utility company. On his first day, his senior informs him that the engagement team is scheduled to have lunch...

11. Discuss the basic accounting problem that arises in handling each of the following situations. a. Assets purchased by issuance of ordinary shares. b. Acquisition of plant assets by grant. c....

The random variable Y is normally distributed with mean and standard deviation Y and Y, respectively. The dependent random variable Y is defined as Y = ln(X) Show that the probability density...

For each of the following cases use the information given to determine whether or not the equilibrium will favor products over reactants: (a) A reaction with K eq = 1.2 (b) A reaction with K eq = 0.2...

Propose a mechanism for the following transformation: CI HCI

Identify the relationship between the following two compounds.

Guy Wood performed carpenter services for $2,500. He received cash of $1,000 and gave credit of $1,500. Describe how Guy would record this transaction in the accounting equation given below: Assets =...

John Johnson, Swifty & Johnson Fabricators' production manager, has just received the company's sales budget for the first quarter. Budgeted units sold Budgeted sales price Budgeted revenue January...

The Evangeline Company makes two products, X and Y, from a common input, Z. In March, Evangeline used 30,000 pounds of Z to make 20,000 pounds of X and 10,000 pounds of Y. The cost of Z was $1.00 per...