a. Explain the terms quantum well, quantum rod (or wire) and quantum dot. Find an example which comes close to a quantum dot.

Physical Chemistry
2nd Edition
ISBN:9781133958437
Author:Ball, David W. (david Warren), BAER, Tomas
Publisher:Ball, David W. (david Warren), BAER, Tomas
Chapter11: Quantum Mechanics: Model Systems And The Hydrogen Atom
Section: Chapter Questions
Problem 11.64E
icon
Related questions
icon
Concept explainers
Question
a. Explain the terms quantum well, quantum rod (or wire) and quantum dot. Find an
example which comes close to a quantum dot.
b. A particle of mass m is confined between two walls, which are a distance a apart.
Between the walls, the potential energy is zero, however outside the walls, the
potential energy rises abruptly to infinite. Write down and solve the Schrödinger
equation for such a system.
c. Assume an electron in a box with a length of a₁ = 1.8 Å and a₂ = 180 Å. Calculate
the first 3 energy states in eV.
d. Now assume a cat (Maine Coon, mcat = 5.8 kg) in a box of length a = 1.5 m.
Calculate the first 3 energy states, as well as the lowest transition energy. Compare
the results to the previous system.
Transcribed Image Text:a. Explain the terms quantum well, quantum rod (or wire) and quantum dot. Find an example which comes close to a quantum dot. b. A particle of mass m is confined between two walls, which are a distance a apart. Between the walls, the potential energy is zero, however outside the walls, the potential energy rises abruptly to infinite. Write down and solve the Schrödinger equation for such a system. c. Assume an electron in a box with a length of a₁ = 1.8 Å and a₂ = 180 Å. Calculate the first 3 energy states in eV. d. Now assume a cat (Maine Coon, mcat = 5.8 kg) in a box of length a = 1.5 m. Calculate the first 3 energy states, as well as the lowest transition energy. Compare the results to the previous system.
Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Ideal and Real Gases
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, chemistry and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Physical Chemistry
Physical Chemistry
Chemistry
ISBN:
9781133958437
Author:
Ball, David W. (david Warren), BAER, Tomas
Publisher:
Wadsworth Cengage Learning,
Principles of Modern Chemistry
Principles of Modern Chemistry
Chemistry
ISBN:
9781305079113
Author:
David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
Publisher:
Cengage Learning
Organic Chemistry: A Guided Inquiry
Organic Chemistry: A Guided Inquiry
Chemistry
ISBN:
9780618974122
Author:
Andrei Straumanis
Publisher:
Cengage Learning
World of Chemistry, 3rd edition
World of Chemistry, 3rd edition
Chemistry
ISBN:
9781133109655
Author:
Steven S. Zumdahl, Susan L. Zumdahl, Donald J. DeCoste
Publisher:
Brooks / Cole / Cengage Learning
Chemistry: Principles and Practice
Chemistry: Principles and Practice
Chemistry
ISBN:
9780534420123
Author:
Daniel L. Reger, Scott R. Goode, David W. Ball, Edward Mercer
Publisher:
Cengage Learning
Chemistry: Matter and Change
Chemistry: Matter and Change
Chemistry
ISBN:
9780078746376
Author:
Dinah Zike, Laurel Dingrando, Nicholas Hainen, Cheryl Wistrom
Publisher:
Glencoe/McGraw-Hill School Pub Co