Proton mobilities, quasielastic broadenings, and changes in low-frequency inelastic intensities characterise the evolution of the peptide energy landscape as a function of momentum transfer and temperature.
Once q c (t) is explicitly known, we can easily find the complementary function for momentum from p c ( t ) = f ( t ) [ q ̇ c ( t ) − 2 g ( t ) q c ( t ) ]. Open image in new window (6).
The detailed picture of the plasmon wave function in momentum space C pq γ ′ γ, showing the distribution of contributions of intraband C pq + + 2 or interband C pq + - 2 + C pq - + 2 electron-hole pairs into wave function of plasmon with given momentum q is presented in Figure 3.
This provided neutron reflectivity data as a function of momentum transfer normal to the interface, q, where q = (4π/λ) sin θ.
The scattering intensity was measured as a function of momentum transfer vector q=4π (sinθ)/λ, where λ is the radiation wavelength and 2 θ is the scattering angle.
The scattered X-rays are detected with a two-dimensional multiwire area detector and afterwards converted to one-dimensional scattering by radial averaging and represented as a function of momentum transfer vector Q similar to the SANS experiments.
The final reflectivity profile is presented as a function of momentum transfer, Q, as defined by where θ is the angle of incidence, and λ is the neutron wavelength.
The latter two are constructed from the two point function in momentum space (5) G ˜ P (k ) = 1 V ∑ n, m 〈 tr P n P m 〉 conn exp (2 π i L (n − m ) ⋅ k ) with P n = z n z n †.
The data are plotted as the ratio of reflected to incident intensity as a function of momentum transfer qz = (4π/λ) sinθ, where θ is the angle of incidence with respect to the plane of the film and λ is the wavelength [ 42].
The method uses a spectral decomposition into L2 Rd) basis functions in momentum-space to obtain a system of first-order advection reaction equations.
