Density of orbitals in one and two dimensions. (a) Show that the density of orbitals of a
Question:
(a) Show that the density of orbitals of a free electron in one dimension is
D1(ε) = (L/π) (2m/h2ε)τ 2,
where L is the length of the line.
(b) Show that in two dimensions, for a square of area A,
Dz(ε) = Am/πh2,
Independent of ε.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 75% (16 reviews)
a In one dimension x A sin nxL analogously to 358 Here n is an integer The number of electrons tha...View the full answer
Answered By
David Muchemi
I am a professional academic writer with considerable experience in writing business and economic related papers. I have been writing for my clients who reach out to me personally after being recommended to me by satisfied clients.
I have the English language prowess, no grammatical and spelling errors can be found in my work. I double-check for such mistakes before submitting my papers.
I deliver finished work within the stipulated time and without fail. I am a good researcher on any topic especially those perceived to be tough.
I am ready to work on your papers and ensure you receive the highest quality you are looking for. Please hire me to offer my readily available quality service.
Best regards,
4.60+
27+ Reviews
61+ Question Solved
Related Book For
Question Posted:
Students also viewed these Solid State questions
-
A cantilever beam of length L = 2m supports a load P = 8.0kN (see figure). The beam is made of wood with cross-sectional dimensions 120mm x 200mm. Calculate the shear stresses due to the load at...
-
A square wood column with side dimensions b (see figure) is constructed of a structural grade of Douglas fir for which Fc = 1,700 psi and E = 1,400,000 psi. An axial force P = 40 k acts on the...
-
Two square conducting plates with sides of length L are separated. By a distance D. A dielectric slab with constant K with dimensions L X L X D is inserted a distance x into the space between the...
-
The average of 4 consecutive odd positive integers is 16. The product of the smallest and largest positive odd integer is 1. 210 2. 247 3. 294 4. 320 None of the above 5.
-
Butler International Limited is evaluating a project in Erewhon. The project will create the following cash flows: Year .....................Cash Flow 0..........................$855,000...
-
What are the Digital Data Genesis and Digital Data Streaming? explain it.
-
Understanding whether agreed-upon procedures relate to a specified element, account, or item of a financial statement or to a nonfinancial statement assertion is important because the professional...
-
A firm in the third year of depreciating its only asset, which originally cost $180,000 and has a 5-year MACRS recovery period, has gathered the following data relative to the current years...
-
Write a FORTRAN program to evaluate the polynomial expression aix-1+azx-2+ + an for given values of n. a, az... using various values of x which are read in. Let the program terminate when a zero...
-
Procter & Gamble has been the leading soap manufacturer in the United States since 1879, when it introduced Ivory soap. However, late in 1991, its major rival, Lever Bros. (Unilever), overtook it by...
-
A diesel engine is an internal combustion engine in which fuel is sprayed into the cylinders after the air charge has been so highly compressed that it has attained a temperature sufficient to ignite...
-
For electrons with an energy >> mc2, where m is the rest mass of the election, the energy is given by pc, where p is the momentum. For electrons in a cube of volume V = L3 the momentum is of the...
-
Identify the important interests that must be balanced in relocation disputes.
-
If the 10-year Hong Kong government bond rate is 4.5 percent, the inflation premium is 2.3 percent, and the maturity-risk premium on the 10-year Hong Kong government bonds is 0.15 percent, assuming...
-
An 800-kg car moving at \(108 \mathrm{~km} / \mathrm{hr}\) hits and gets entangled with a large truck of inertia \(10,000 \mathrm{~kg}\) initially at rest. What is the kinetic energy of the wreckage?...
-
A \(2000-\mathrm{kg}\) car burns gasoline with \(25 \%\) efficiency. Accelerating from rest, how fast would this car go upon burning \(0.040 \mathrm{~L}\) of gasoline if \(1.0 \mathrm{~L}\) of...
-
Imagine that you take a metal spring, compress it to its most compact length, and tie some string around it to keep it compressed. There is now potential energy stored in the compressed spring. You...
-
Explain the liquidity preference theory.
-
Rewrite each logarithmic expression as an equivalent exponential expression. Rewrite each exponential expression as an equivalent logarithmic expression. (a) log a 12 = 5 (b) log 10 x = 2 (c) 4 y =...
-
Graph the following conic sections, labeling vertices, foci, directrices, and asymptotes (if they exist). Give the eccentricity of the curve. Use a graphing utility to check your work. 10 5 + 2 cos 0
-
This case illustrates leadership failure in public service organizations. In August 2014 an independent report into child sexual abuse in Rotherham, England, revealed that 1,400 children had been...
-
Convert the following to equivalent temperatures on the Celsius and Kelvin scales: (a) The normal human body temperature, 98.6F; (b) The air temperature on a cold day, -5.00F.
-
The temperature difference between the inside and the outside of an automobile engine is 450C. Express this temperature difference on (a) The Fahrenheit scale and (b) The Kelvin scale.
-
On a Strange temperature scale, the freezing point of water is -15.0S and the boiling point is + 60.0S. Develop a linear conversion equation between this temperature scale and the Celsius scale.
-
Instructions: Sun Sports Inc. has several kiosks in large and medium-sized shopping centers that They sell various styles of sports hats for men and women, all at the same price. In addition to the...
-
solve log(230x) - log(25) = log(212)
-
Kade and Danae are siblings with part-time jobs. Kade's bank account had a starting balance of $0. She deposits $290 into the account every 2 weeks. The table shows Danae's account balance after...
Study smarter with the SolutionInn App