Darwin-Howie-Whelan Equation for an Unstrained Crystal (Q6674128)

simuating TEM images of an unstrained crystal by numerically solving the Darwin–Howie–Whelan equation describing the electron propagation

Language	Label	Description	Also known as
English	Darwin-Howie-Whelan Equation for an Unstrained Crystal	simuating TEM images of an unstrained crystal by numerically solving the Darwin–Howie–Whelan equation describing the electron propagation

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\begin{aligned} \frac{d}{d z} ψ_{𝐠} (z) & = 2 i π s_{𝐠} ψ_{𝐠} (z) + \frac{i π}{ρ_{𝐠}} \sum_{𝐡 \in Λ_{m}^{*}} U_{𝐠 - 𝐡} ψ_{𝐡} (z) \\ s_{g} & = - \frac{g \cdot (2 k_{0} + g)}{2 n \cdot (k_{0} + g)} \end{aligned}

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U_{g}

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Λ_{m}^{*}

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ψ_{g}

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g

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k_{0}

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n

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s_{g}

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