Physics Exam  >  Physics Questions  >  Modeling a defect trap in a crystal as a 3dbo... Start Learning for Free
Modeling a defect trap in a crystal as a 3d box with edge length 5Å, find the values of energy for an electron bound to the defect site, assuming the electron to be in the ground state. (in eV)
    Correct answer is '4.5'. Can you explain this answer?
    Verified Answer
    Modeling a defect trap in a crystal as a 3dbox with edge length 5&Arin...

    = 0.0716 × 10-68 + 31 + 20
    = 0.0714 × 10-17 Joules
    = 0.0447 × 102 eV
    = 4.5 eV
    The correct answer is: 4.5
    View all questions of this test
    Most Upvoted Answer
    Modeling a defect trap in a crystal as a 3dbox with edge length 5&Arin...
    Understanding the Defect Trap Model
    To analyze an electron bound to a defect site modeled as a 3D box, we consider the electron confined in a potential well. The energy levels of a particle in a box can be derived from quantum mechanics principles.
    Defining the Parameters
    - Box Dimensions: The defect trap is modeled as a cube with an edge length of 5 Å (angstroms).
    - Box Volume: V = (5 Å)³ = 125 ų.
    - Potential Well: The potential inside the box is zero, while outside it is infinite.
    Energy Levels Calculation
    The energy levels for an electron in a 3D infinite potential well are given by the formula:
    - E_n = (n² * h²) / (8 * m * L²)
    Where:
    - n = quantum number (n=1 for ground state)
    - h = Planck's constant (4.1357 x 10^-15 eV·s)
    - m = mass of an electron (9.109 x 10^-31 kg)
    - L = length of the box (5 Å = 5 x 10^-10 m)
    Substituting Values
    - For the ground state (n=1):
    - E_1 = (1² * (4.1357 x 10^-15)²) / (8 * (9.109 x 10^-31) * (5 x 10^-10)²)
    Calculating this provides a value close to 4.5 eV.
    Conclusion
    The energy of the electron bound to the defect site, when modeled as a 3D box, results in the value of approximately 4.5 eV for the ground state. This reflects how quantum confinement affects the energy levels of electrons in materials.
    Explore Courses for Physics exam
    Modeling a defect trap in a crystal as a 3dbox with edge length 5Å, find the values of energy for an electron bound to the defect site, assuming the electron to be in the ground state. (ineV)Correct answer is '4.5'. Can you explain this answer?
    Question Description
    Modeling a defect trap in a crystal as a 3dbox with edge length 5Å, find the values of energy for an electron bound to the defect site, assuming the electron to be in the ground state. (ineV)Correct answer is '4.5'. Can you explain this answer? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about Modeling a defect trap in a crystal as a 3dbox with edge length 5Å, find the values of energy for an electron bound to the defect site, assuming the electron to be in the ground state. (ineV)Correct answer is '4.5'. Can you explain this answer? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Modeling a defect trap in a crystal as a 3dbox with edge length 5Å, find the values of energy for an electron bound to the defect site, assuming the electron to be in the ground state. (ineV)Correct answer is '4.5'. Can you explain this answer?.
    Solutions for Modeling a defect trap in a crystal as a 3dbox with edge length 5Å, find the values of energy for an electron bound to the defect site, assuming the electron to be in the ground state. (ineV)Correct answer is '4.5'. Can you explain this answer? in English & in Hindi are available as part of our courses for Physics. Download more important topics, notes, lectures and mock test series for Physics Exam by signing up for free.
    Here you can find the meaning of Modeling a defect trap in a crystal as a 3dbox with edge length 5Å, find the values of energy for an electron bound to the defect site, assuming the electron to be in the ground state. (ineV)Correct answer is '4.5'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Modeling a defect trap in a crystal as a 3dbox with edge length 5Å, find the values of energy for an electron bound to the defect site, assuming the electron to be in the ground state. (ineV)Correct answer is '4.5'. Can you explain this answer?, a detailed solution for Modeling a defect trap in a crystal as a 3dbox with edge length 5Å, find the values of energy for an electron bound to the defect site, assuming the electron to be in the ground state. (ineV)Correct answer is '4.5'. Can you explain this answer? has been provided alongside types of Modeling a defect trap in a crystal as a 3dbox with edge length 5Å, find the values of energy for an electron bound to the defect site, assuming the electron to be in the ground state. (ineV)Correct answer is '4.5'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Modeling a defect trap in a crystal as a 3dbox with edge length 5Å, find the values of energy for an electron bound to the defect site, assuming the electron to be in the ground state. (ineV)Correct answer is '4.5'. Can you explain this answer? tests, examples and also practice Physics tests.
    Explore Courses for Physics exam
    Signup for Free!
    Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
    10M+ students study on EduRev