ブリルアン帯

Brillouin zone

[目次：理論(電子の散乱／回折／結像)]

波数空間（逆空間）で原点から引いた逆格子ベクトルの垂直二等分面で囲まれる領域のこと。領域の境界ではブラッグ反射が起きるので、エネルギー一定の入射電子はその波数に分散が起き分散面ができる。結晶の周期性によって、分散面も周期的になるので、動力学的回折による波数の変化（分散面）はブリルアン帯の中だけで計算すればよい。

"Brillouin zone" is defined in the wave number space (reciprocal space) as a region separated by perpendicular bisector planes of reciprocal lattice vectors drawn from the point of origin. Bragg reflections take place on the boundaries of the Brillouin zones, and the incident electron with a constant energy undergoes dispersion in their wave numbers, thus dispersion surfaces are produced. Since the dispersion surfaces exhibit the periodicity of the crystal lattice, the change of wave numbers (dispersion surfaces) due to dynamical diffraction is enough to be calculated only in a Brillouin zone.

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