In condensed matter physics, the dynamic structure factor (or dynamical structure factor) is a mathematical function that contains information about inter-particle correlations and their time evolution. It is a generalization of the structure factor that considers correlations in both space and time. Experimentally, it can be accessed most directly by inelastic neutron scattering or X-ray Raman scattering. The dynamic structure is exactly what is probed in coherent inelastic neutron scattering. The differential cross section is : where is the scattering length.
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| - Dynamic structure factor (en)
- 動的構造因子 (ja)
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| - 散乱理論における動的構造因子とは、粒子の運動の時間相関および空間相関を特徴づける量である。 動的構造因子は二体相関関数 の空間および時間についてのフーリエ変換で定義される。 ここでは原子密度の空間的変動を記述する演算子である。この二体相関関数は,時刻0の時にある位置にいた粒子と,時刻tの時に位置にある粒子との相関を表す。 また動的構造因子のエネルギー積分のことを静的構造因子と呼ぶ。 (ja)
- In condensed matter physics, the dynamic structure factor (or dynamical structure factor) is a mathematical function that contains information about inter-particle correlations and their time evolution. It is a generalization of the structure factor that considers correlations in both space and time. Experimentally, it can be accessed most directly by inelastic neutron scattering or X-ray Raman scattering. The dynamic structure is exactly what is probed in coherent inelastic neutron scattering. The differential cross section is : where is the scattering length. (en)
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| - In condensed matter physics, the dynamic structure factor (or dynamical structure factor) is a mathematical function that contains information about inter-particle correlations and their time evolution. It is a generalization of the structure factor that considers correlations in both space and time. Experimentally, it can be accessed most directly by inelastic neutron scattering or X-ray Raman scattering. The dynamic structure factor is most often denoted , where (sometimes ) is a wave vector (or wave number for isotropic materials), and a frequency (sometimes stated as energy, ). It is defined as: Here , is called the intermediate scattering function and can be measured by neutron spin echo spectroscopy. The intermediate scattering function is the spatial Fourier transform of the van Hove function : Thus we see that the dynamical structure factor is the spatial and temporal Fourier transform of van Hove's time-dependent pair correlation function. It can be shown (see below), that the intermediate scattering function is the correlation function of the Fourier components of the density : The dynamic structure is exactly what is probed in coherent inelastic neutron scattering. The differential cross section is : where is the scattering length. (en)
- 散乱理論における動的構造因子とは、粒子の運動の時間相関および空間相関を特徴づける量である。 動的構造因子は二体相関関数 の空間および時間についてのフーリエ変換で定義される。 ここでは原子密度の空間的変動を記述する演算子である。この二体相関関数は,時刻0の時にある位置にいた粒子と,時刻tの時に位置にある粒子との相関を表す。 また動的構造因子のエネルギー積分のことを静的構造因子と呼ぶ。 (ja)
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