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Atoms are arranged in a one-dimensional chain with lattice spacing a. Each atom is represented by the potential V(x) = . The energy gaps between the bands, assuming that the nearly free electron approximation holds good, is
  • a)
    V0
  • b)
    2V0
  • c)
    V0/2
  • d)
    4V0
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Atoms are arranged in a one-dimensional chain with lattice spacing a. ...
The energy gaps one determined by the fourier components of lattice potential. For the dirac-delta potentially. Tlie matrix elements are

Independent of n.
So, energy gap, 
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Atoms are arranged in a one-dimensional chain with lattice spacing a. Each atom is represented by the potential V(x) = . The energy gaps between the bands, assuming that the nearly free electron approximation holds good, isa)V0b)2V0c)V0/2d)4V0Correct answer is option 'B'. Can you explain this answer?
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Atoms are arranged in a one-dimensional chain with lattice spacing a. Each atom is represented by the potential V(x) = . The energy gaps between the bands, assuming that the nearly free electron approximation holds good, isa)V0b)2V0c)V0/2d)4V0Correct answer is option 'B'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about Atoms are arranged in a one-dimensional chain with lattice spacing a. Each atom is represented by the potential V(x) = . The energy gaps between the bands, assuming that the nearly free electron approximation holds good, isa)V0b)2V0c)V0/2d)4V0Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Atoms are arranged in a one-dimensional chain with lattice spacing a. Each atom is represented by the potential V(x) = . The energy gaps between the bands, assuming that the nearly free electron approximation holds good, isa)V0b)2V0c)V0/2d)4V0Correct answer is option 'B'. Can you explain this answer?.
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