Homework%2005

Homework%2005 - EEE 539Spring 2008 Homework 5 3.5 Plot the...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: EEE 539Spring 2008 Homework 5 3.5 Plot the function f( a)=9sin( a)/ a+cos( a) a 6 . Also, given the function f( a)=cos(ka), indicate the allowed values of a which will satisfy this equation. -2 2 4 6 8 10 5 10 15 20 f( a) a Allowed regions-2 2 4 6 8 10 5 10 15 20 f( a) a Allowed regions 3.7 Using equation (3.24), show that dE/dk=0 at k=n /a, where n=0,1,2,. Equation (3.24) is given as ka a a a P cos cos sin = + , and (3.5) relates the energy to . m E 2 2 2 h = Now, let us take the derivative of (3.24) with respect to , as ka a k a a a a a P sin sin sin cos 2 = . When k = n /a (n an integer), the right-hand side is zero. Since, in general, the term in the brackets is non-zero, we must have = k in order to satisfy the equation. Then, . = = k E dk dE 3.14 Two possible valence bands are shown in the E versus k diagram given in Fig. Two possible valence bands are shown in the E versus k diagram given in Fig....
View Full Document

Page1 / 3

Homework%2005 - EEE 539Spring 2008 Homework 5 3.5 Plot the...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online