For a closed-subshell configuration, (a) Show that the double sum in (11.80) equals Where the Coulomb and

Question:

For a closed-subshell configuration,
(a) Show that the double sum in (11.80) equals

Where the Coulomb and exchange integrals are defined in terms of the n/2 different spatial orbitals Ï†;
(b) Use (11.84) and the result of part (a) to derive (11.83)

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Quantum Chemistry

ISBN: 978-0321803450

7th edition

Authors: Ira N. Levine

See More Books

Question Posted: May 26, 2016 06:30 AM

See More Questions

(a) Use a diagram like (11.48) to show that the lowest term of a single half-filled-subshell configuration has L = 0. (b) How many levels arise from a term with L = 0? Explain why no rule is needed...
Verify that the Coulomb and exchange integrals Jij and Kij can be written in terms of the Coulomb and exchange operators of Section 14.3 as J = (4,(1)|,(1)l4(1)). Ki = (6(1)|R,(1)|4(1)) %3!
Force on a surface of arbitrary orientation? (Figure 1D.2) Consider the material within an element of volume OABC that is in a state of equilibrium, so that the sum of the forces acting on the...
How does unemployment behave over the business cycle?
The equivalent annual worth of an existing machine at American Semiconductor is estimated to be $-70,000 per year over its remaining useful life of 3 years. It can be replaced now or later with a...
Multiple Choice Questions a. A material departure from generally accepted accounting principles will result in auditor consideration of: (1) Whether to issue an adverse opinion rather than a...
From calculus, one obtains the following formula (Leibnitz rule) for the time derivative of an integral that contains time in both the integrand and the limits of the integration: \[ \frac{d}{d t}...
Topez Company was started on January 1, 2014. During 2014, the company experienced the following three accounting events: (1) earned cash revenues of $14,500, (2) paid cash expenses of $9,200, and...
1.In theory, what should happen to the plot of your range ( y ) vs. launch angle ( x ) as the launch speed is increased? (a).Clearly state which specific points should change, and which should remain...
A manufacturing firm produces diesel engines in four citiesPhoenix, Seattle, St. Louis, and Detroit. The company is able to produce the following numbers of engines per month: Plant .. Production 1....
Use Eq. (11.74) to calculate the energy separation between the MJ = 1/2 and MJ = -1/2 states of the 2p2P1/2 hydrogen-atom level, if a magnetic field of 0.200 T is applied. Eg = ggBM, %3D
Use the Condon-Slater rules to prove the orthonormality of two n-electron Slater determinants of orthonormal spin-orbitals.
The monthly exchange rate of U.S. dollars to one Australian dollar was recorded from 1971 to 2016. Draw a graph that shows how the exchange rate has varied over the past 41 years.
What effect does an antagonist drug have over the receptors ?
a. If Canace Company, with a break-even point at $398,400 of sales, has actual sales of $480,000, what is the margin of safety expressed (1) in dollars and (2) as a percentage of sales? Round the...
Desserts by Jacki's variable overhead cost information for pies last quarter was as follows Actual production in pies 18,000 pies Standard variable overhead cost per pie 3/4 hour $5 per hour Actual...
In 2022 Lucia gave a relative, Matias 425 shares of School Products Incorporated., common stock. Lucia paid $9,350 for the stock in 2016. At the date of the gift, the FMV of the stock was $6,800....
Why is glucose considered the preferred energy source for cellular respiration ? Explain
The following values are from an independent-measures study comparing three treatment conditions. a. Compute the variance for each sample. b. Compute MS within , which would be the denominator of the...
Write a paper about medication error system 2016.
A shopper in a supermarket pushes a cart with a force of 35.0 N directed at an angle of 25.0 downward from the horizontal. Find the work done by the shopper on the cart as he moves down an aisle 50.0...
Batman whose mass is 80.0 kg, is dangling on the free end of a 12.0-m rope, the other end of which is fixed to a tree limb above. He is able to get the rope in motion as only Batman knows how...
A raindrop of mass 3.35 x 105 kg falls vertically at constant speed under the influence of gravity and air resistance. Model the drop as a particle. As it falls 100 m, what is the work done on the...
Jun. 3 Purchased inventory on account with credit terms of 4/10, n/EOM, $2,100. 9 Returned 30% of the inventory purchased on June 3. It was defective. 12 Sold goods for cash, $940 (cost, $564). 15...
Jorge and Anita, married taxpayers, earn $151,600 in taxable income and $40,400 in interest from an investment in City of Heflin bonds. Using the U.S. tax rate schedule for married filing jointly,...
How does the design of change interventions account for contextual factors such as organizational culture, leadership style, and readiness for change, as they tailor intervention strategies,...

For a closed-subshell configuration, (a) Show that the double sum in (11.80) equals Where the Coulomb and

Question:

n 2 n/2 J - Ki Jij = jji, K; - K,

Step by Step Answer:

a For a closedsubshell configuration 1 2 1 3 4 2 n 1 n n2 Consider the Coulomb integrals in 1180 tha...View the full answer

Quantum Chemistry

Students also viewed these Mechanics questions