Diamagnetic susceptibility of atomic hydrogen the wave function of the hydrogen atom in its ground state (Is) is (a 3 0 ) 1 2 exp ( r a 0 ), where a 0 , h 2 me 2 0 529 x 10 8 cm The charge density is p(x, y, z) e 2 , according to the statistical interpretation of the wave function Show that for this state (r 2 ) 3a 0 2 , and calculate the molar diamagnetic susceptibility of atomic hydrogen (2 36 x 10 6 cm 3 mole)

Question: Diamagnetic susceptibility of atomic hydrogen the wave function of the hydrogen atom in its ground state (Is) is = (a 3 0 ) -1/2

Diamagnetic susceptibility of atomic hydrogen the wave function of the hydrogen atom in its ground state (Is) is ψ = (πa³₀)^-1/2 exp (– r/a₀), where a₀, = h²/me² = 0.529 x 10^-8 cm. The charge density is p(x, y, z) = – e|ψ|², according to the statistical interpretation of the wave function. Show that for this state (r²) = 3a₀², and calculate the molar diamagnetic susceptibility of atomic hydrogen (–2.36 x 10^-6 cm³/mole).

Step by Step Solution

★★★★★

3.53 Rating (167 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

From Eq 10 1 3 Here 47... 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)

14-P-S-S-G-P (75).docx

120 KBs Word File

Students Have Also Explored These Related Solid State Questions!

The wave function for a hydrogen atom in the 2s state is(a) Verify that this function is normalized.(b) In the Bohr model, the distance between the electron and the nucleus in the n = 2 state is...

For a helium atom in its ground state, what are quantum numbers ((n, l, ml, ms) for the? (a) spin-up electron (b) spin-down electron

Diamagnetic susceptibility of atomic hydrogen. The wave function of the hydrogen atom in its ground state (1s) is = ( )-1/2exp (-r/ao), where h2 4 me? = 0.52910-8cm. The charge density is (x, y,...

For the He wave function, use with Z eff = 2 - 5/16, as obtained by the variational method. The measured value of the diamagnetic susceptibility is 1.88 x 10 -6 cm 3 /mole. Using the Hamiltonian for...

1. (80 pts) At the turn of the 19th and 20th centuries saw several groundbreaking progresses in physics. Quantum mechanics is one of the physical theories developed in this period, which have since...

1. State what physical property is associated with each of the following quantum numbers in a one-electron atom and give the value of this physical property in terms of the quantum number: a) I b) m:...

What are the mechanical properties of a hydrogen atom? To answer this question we need to introduce some new concepts. First, we need to evaluate how the energy of the electron changes when we change...

The decision to shift Home Run Inn Pizza's focus from restaurants to becoming a manufacturing entity is best described as an example of which of these strategies for achieving competitive advantage?...

9) Calculate the kinetic energy (in eV) of a nonrelativistic neutron that has a de Broglie wavelength of 9.9 x 10-12 m. (h = 6.626 x 10-34 J . s, or h = 4.136 x 10-15 ev - 5, Mneutron = 1.675 x 10-27...

Excluding job benefit coverage, approximately 49% of adults have purchased life insurance. The likelihood that those aged 18 to 24 without life insurance will purchase life insurance in the next year...

Make the definition of the ellipse by writing the relevant relations and drawing its shape. Prove that B1F1 = B1F2 = a for the ellipse drawn in the figure below.

Find the nth term, an , of the sequence. ( Your formula should work for n = 1 , 2 , . . . . ) 4 / 5 , 5 / 6 , 6 / 7 , 7 / 8 , . . .

a) Find the value of k if the intersection of the following volumes gives a surface in R* = -k*y + () z -t+ b, 16y = -x + 4z - k?t + b2 b) Determine the value of k if the intersection is a volume c)...

a) Find the value of k if the intersection of the following volumes gives a surface in R* = -ky + () z-t+ b,, 16y = -x + 4z k?t + bz b) Determine the value of k if the intersection is a volume c)...

a) Find the value of k if the intersection of the following volumes gives a surface in R* =-ky + () z-t + b, 16y = -x + 4z - k?t + b2 (10pts). b) Determine the value of k if the intersection is a...

Why strategic management is required in production and operations?

A truck covers 40.0 m in 8.50 s while smoothly slowing down to a final speed of 2.80 m/s. (a) Find its original speed. (b) Find its acceleration.

An object moving with uniform acceleration has a velocity of 12.0 cm/s in the positive x direction when its x coordinate is 3.00 cm. If its x coordinate 2.00 s later is -5.00 cm, what is its...

A 745i BMW car can brake to a stop in a distance of 121 ft. from a speed of 60.0 mi/h. To brake to a stop from a speed of 80.0 mi/h requires a stopping distance of 211 ft. What is the average braking...

Calculate the fair value of the following contracts with 50 trading days (t = 50/250 = 0.20 years) to expiration and a continuously compounded annual risk-free rate of 1.5%. Need to find answer for...

An engineer has designed a valve that will regulate water pressure on an automobile engine. The valve was tested on 180 engines and the mean pressure was 5.7 pounds/square inch (psi). Assume the...

Changes in stockholders' equity Listed are the equity sections of balance sheets for years 2014 and 2015 as reported by Mountain Air Ski Resorts, Inc. The overall value of stockholders' equity has...