DETERMINE THE DISPERSION RELATION OF PHONONS IN A ONE-DIMENSIONAL CRYSTAL WITH ONE ATOM PER PRIMITIVE CELL ALSO PLOT THE RELATION. SHOW THAT FOR SMALL K THE PHONONS ARE NON-DISPERSIVE AND CALCULATE THE SOUND VELOCITY. GIVE THE EQUATION OF MOTION FOR ATOM S AS A RESULT OF ITS INTERACTIONS WITH ATOMS S -1 AND S+1.
DETERMINE THE DISPERSION RELATION OF PHONONS IN A ONE-DIMENSIONAL CRYSTAL WITH ONE ATOM PER PRIMITIVE CELL ALSO PLOT THE RELATION. SHOW THAT FOR SMALL K THE PHONONS ARE NON-DISPERSIVE AND CALCULATE THE SOUND VELOCITY. GIVE THE EQUATION OF MOTION FOR ATOM S AS A RESULT OF ITS INTERACTIONS WITH ATOMS S -1 AND S+1.
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Transcribed Image Text:DETERMINE THE DISPERSION RELATION OF PHONONS IN A ONE-DIMENSIONAL CRYSTAL WITH ONE ATOM PER
PRIMITIVE CELL. ALSO PLOT THE RELATION.
SHOW THAT FOR SMALL K THE PHONONS ARE NON-DISPERSIVE AND CALCULATE THE SOUND VELOCITY.
• GIVE THE EQUATION OF MOTION FOR ATOM S AS A RESULT OF ITS INTERACTIONS WITH ATOMS S - 1 AND
S+1.
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