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A longitudinal phonon traveling along a linear chain of atoms of spacing (a) with a wave vector of k1= pi/2a interacts and combines with another phonon of k2= 3pi/4a traveling in the same direction. Show that such scattering should be umklapped and discuss the significance of the result. (pi=3.14)

A longitudinal phonon traveling along a linear chain of atoms of spacing (a) with a wave vector of k1= pi/2a interacts and combines with another phonon of k2= 3pi/4a traveling in the same direction. Show that such scattering should be umklapped and discuss the significance of the result. (pi=3.14)

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A longitudinal phonon traveling along a linear chain of atoms of spacing (a) with a wave vector of k1= pi/2a interacts and combines with another phonon of k2= 3pi/4a traveling in the same direction. Show that such scattering should be umklapped and discuss the significance of the result. (pi=3.14)
Transcribed Image Text:A longitudinal phonon traveling along a linear chain of atoms of spacing (a) with a wave vector of k1= pi/2a interacts and combines with another phonon of k2= 3pi/4a traveling in the same direction. Show that such scattering should be umklapped and discuss the significance of the result. (pi=3.14)
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