A one-dimensional lattice of spacing ‘a’ has potential distribution of the type as considered in the Kronig-Penney model. The value of the potential is –V at each lattice point and abruptly changes to zero at a distance of 0.1a on either side of the lattice point. Determine the width of the first energy gap in the electron energy spectrum. (b) A one-dimensional lattice of spacing 'a' has potential distribution of the type as considered in theKronig-Penney model. The value of the potential is –V at each lattice point and abruptly changes to zero at adistance of 0.1a on either side of the lattice point. Determine the width of the first energy gap in the electronenergy spectrum.[Ans. 0.37 V]

For a periodic crystal lattice, particle when in that 1 D lattice pose a question of quantum…

A one-dimensional lattice of spacing ‘a’ has potential distribution of the type as considered in the Kronig-Penney model. The value of the potential is –V at each lattice point and abruptly changes to zero at a distance of 0.1a on either side of the lattice point. Determine the width of the first energy gap in the electron energy spectrum.

A one-dimensional lattice of spacing ‘a’ has potential distribution of the type as considered in the Kronig-Penney model. The value of the potential is –V at each lattice point and abruptly changes to zero at a distance of 0.1a on either side of the lattice point. Determine the width of the first energy gap in the electron energy spectrum.