Question: The wave function of a many-electron closed-shell atom can expressed as a Slater determinant (Section 10Ab). A useful property of determinants is that interchanging any

The wave function of a many-electron closed-shell atom can expressed as a Slater determinant (Section 10Ab). A useful property of determinants is that interchanging any two rows or columns changes their sign and therefore, if any two rows or columns are identical, then the determinant vanishes. Use this property to show that
(a) The wave function is ant symmetric under particle exchange
(b) No two electrons can occupy the same orbital with the same spin.

Step by Step Solution

★★★★★

3.31 Rating (172 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a The Slater wavefunction 1032 is 123N 123N 1 N2 I N12 123N 1 1 Va1B1 11 2 2 3 3 2B2 Va3B3 2 2 3 3 1... 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

Document Format (1 attachment)

57-C-PC-S (108).docx

120 KBs Word File

Students Have Also Explored These Related Physical Chemistry Questions!

The wave function of a particle is and zero elsewhere.a. You will learn in Chapter 40 that the wave function must be a continuous function. Assuming that to be the case, what can you conclude about...

The ground-state wave function of a hydrogen atom is = (1/xa3)1/2e-r1ao where ao = 53 pm (the Bohr radius). (a) Calculate the probability that the electron will be found somewhere within a small...

The wave function of a particle is where b is a positive constant. Find the probability that the particle is located in the interval -b ?? x ?? b. b (x)= (x2 + b?) IT

11. (30 Points) Please fill in the blanks. a. (2 Points) At maximum, an f-subshell can hold electrons in orbitals. b. (2 Points) The principle quantum number n, specifies the of the orbital. There...

For a closed-shell atom, an anti-symmetric wave function can be represented by a single Slater determinant. For an open-shell atom, more than one determinant is needed. Show that the wave function...

1. (5 Points) Which statement is NOT true? A. The classical mechanics failed when it was applied to particles as amall as electrons. B. Particles cannot have an arbitrarv energy, and the classical...

A hydrogen atom is in a magnetic field and has been excited to the 3s orbital state which has the wave function( ) 2 300 0 32 18 27A e = + where = r/a0. Using this, determine the following prop-...

need help with this Grade 8. Section: Teacher: Content Editor: Score: Subject: General Physics 2 Name: School: LAS Writer: JAN JEFFREY R. CAMIFIA Learning Topic: Photoelectric Effect; Quarter 4-Week...

Explain how the principles of quantum mechanics are able address the issues. The development of quantum mechanical theory stems from several issues that could not be addressed by the principles of...

Final Exam Phy-113-01 Sping-2023 7. In case of charging capacitor in an RC circuit, the charge on the capacitor varies with time by the equation (a) q = CE (1 + e-URC) (b) q = CE e-URC (c) q =CE...

The following CVP income statements are available for ABC Company and XYZ Company. ABC Company XYZ Company CVP I/S for 2020 CVP I/S for 2020 Sales $500,000 300,000 200,000 180,000 $500,000 180,000...

Pottery Children, Inc. specializes in gourmet pottery products for young people and receives all income from sales. Last year, ending payables, receivables, inventory, and cash balance were exactly...

In comparing two investment alternatives the difference between the net present values of the two alternatives obtained using the total cost approach will be the same as the net present value...

(a) Use a double integral in polar coordinates to find the volume of the oblate spheroid 22 =1 (0

a) Briefly explain the 5 common types of EFT found in Namibia. b) Briefly explain polices that should be adopted to establish effective internal control to protect EFT transactions from internal and...

Pina Colada Hotels Ltd. (PCHL)is a small boutique hotel that provides 42 suites that can be rented by the day, week, or month. Food service is available through room service as well. In addition,...

Gulliver Markets In early January 2019, Rini Das was going over the numbers one last time in preparation for a board of directors meeting at Gulliver Markets Ltd, the supermarket chain which she had...

Suppose that the MPC is 0.8 and that $17 trillion of real GDP is currently being demanded. The government wants to increase real GDP demanded to $18 trillion at the given price level. By how much...

Define the terms in and discuss the validity of the expression ln k r =ln AE a /RT.

The equilibrium NH 3 (aq)+H 2 O(l)NH 4 + (aq)+OH (aq) at 25 C is subjected to a temperature jump which slightly increased the concentration of NH 4 + (aq) and OH (aq). The measured relaxation time...

Describe the strategy of a temperature-jump experiment. What parameters of a reaction are accessible from this technique?

5 Design a purely Combinational logic VHDL Model for a Code Converter that receives a four but binary.coded-decimal (BCD) number and returns the four bit Excess-three code for the BCD number. (10...

Assume the random variable X has a binomial distribution with the given probability of obtaining a success. Find the following probability, given the number of trials and the probability of obtaining...

An investor buys shares in a mutual fund for $20. At end of the year the fund distributes a dividend of 0.58. After the distribution net asset value of a share is 24.31. What is the investor's...