Symmetry properties Symmetry properties periodic potential space - - PowerPoint PPT Presentation

▶

Nov 29, 2022 321 likes •373 views

Symmetry properties Symmetry properties periodic potential space group crystal symmetry: point group related symmetry with operator Bloch theorem translation with Bloch function pseudo-momentum (quantum number) Symmetry properties

SLIDE 1

Symmetry properties Symmetry properties

Bloch theorem

periodic potential

crystal symmetry:

space group point group related symmetry

perator

with with

translation

Bloch function

pseudo-momentum (quantum number)

SLIDE 2

Symmetry properties Symmetry properties

1st BZ

Bloch states:

with point group translation

G G

SLIDE 3

Symmetry properties Symmetry properties

1st BZ point group translation

G G

star of little group of

subgroup leaving invariant

SLIDE 4

Symmetry properties Symmetry properties

Bloch theorem

periodic potential

crystal symmetry:

space group point group related symmetry

with with

translation

Bloch function

pseudo-momentum (quantum number)

Symmetry properties Symmetry properties

1st BZ

Bloch states:

with point group translation

G G

Symmetry properties Symmetry properties

1st BZ point group translation

G G

star of little group of

subgroup leaving invariant

Symmetry properties Symmetry properties

star of little group of 1st BZ

G G