ii) Calculate the value of the HOMO and the LUMO wavefunctions at x= 0.300L and at x= 0.500L. %3!
ii) Calculate the value of the HOMO and the LUMO wavefunctions at x= 0.300L and at x= 0.500L. %3!
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Question
![The "particle-in-a-box" problem consists of a particle of mass, m, contained
within a one-dimensional well potential of length, L, for which the potential
energy is zero for 0 < x< L, and infinite elsewhere. The allowed
wavefunctions and energy levels of such a particle are given by the
expressions:
h? n?n?
; En
2
2/, sin ();
L
2m L2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff4034ead-a81c-474d-bc26-2bb6a2dec46f%2F85cf023f-9940-47d1-846b-d6d4ccb6fc6e%2Fop6peu_processed.png&w=3840&q=75)
Transcribed Image Text:The "particle-in-a-box" problem consists of a particle of mass, m, contained
within a one-dimensional well potential of length, L, for which the potential
energy is zero for 0 < x< L, and infinite elsewhere. The allowed
wavefunctions and energy levels of such a particle are given by the
expressions:
h? n?n?
; En
2
2/, sin ();
L
2m L2
![ii)
Calculate the value of the HOMO and the LUMO wavefunctions at
x= 0.300L and at x= 0.500L.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff4034ead-a81c-474d-bc26-2bb6a2dec46f%2F85cf023f-9940-47d1-846b-d6d4ccb6fc6e%2Fqe1h0dj_processed.png&w=3840&q=75)
Transcribed Image Text:ii)
Calculate the value of the HOMO and the LUMO wavefunctions at
x= 0.300L and at x= 0.500L.
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