Wavefunctions illustrated: Bloch functions for a 2-D square lattice скачать в хорошем качестве

Wavefunctions illustrated: Bloch functions for a 2-D square lattice

00:18 Bloch functions for 2-D square lattice 02:15 8 x 8 square lattice, with lattice spacing a 02:53 Wavefunction for kx=0 and ky=0 using 1s orbitals as the periodic functions 03:55 Simplified sketch of the orbital phase relationships (all in phase, so all bonding) 04:22 Wavefunction for kx=1 and ky=0 04:53 Simplified sketch of the orbital phase relationships (if same color as neighbor, then bonding; otherwise, antibonding) 05:38 Wavefunction for kx=0 and ky=1 06:08 Simplified sketch of the orbital phase relationships 06:37 Wavefunction for kx=1 and ky=1 07:10 Wavefunction for kx=1 and ky=1, 3-D view 07:38 Simplified sketch of the orbital phase relationships 08:07 Wavefunction for kx=2 and ky=0 08:37 Simplified sketch of the orbital phase relationships 09:09 Wavefunction for kx=2 and ky=0 09:39 Simplified sketch of the orbital phase relationships 10:07 Wavefunction for kx=2 and ky=2 10:41 Simplified sketch of the orbital phase relationships 11:08 Wavefunction for kx=4 and ky=4 11:38 Wavefunction for kx=4 and ky=4, 3-D view 12:07 Simplified sketch of the orbital phase relationships (note all antibonding) The eigenfunctions for the Hamiltonian of the 1s orbitals of the 64 atoms arranged on an 8 x 8 lattice are displayed using Microsoft Excel (R). Additionally, quick sketches of the phase relationships are demonstrated. Don't forget to like, comment, share, and subscribe!