semiconductors fundamentals.pdf
semiconductors fundamentals.pdf
semiconductors fundamentals.pdf
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有 效 質 量 (effective mass)<br />
• In vacuum E = ћ 2 k 2 /2m and m is independent of E.<br />
• In a lattice E=E(k).<br />
• E(k)= ћω(k), and v g =dω/dk /dk v g =(1/ ћ) dE/dk<br />
• a=d v g /dt=(1/ ћ) d 2 E/dkdt=(1/ ћ) d 2 E/dk 2 (dk/dt)<br />
• p= ћk, F=dp/dt= ћ dk/dt dk/dt= (1/ ћ) F<br />
• a=(1/ ћ 2 )F d 2 E/dk 2<br />
• m* - 1 = (1/ ћ 2 ) d 2 E/dk 2<br />
• m*<br />
-1 ij = (1/ ћ 2 ) ∂ 2 E/ ∂k i ∂k j