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events:2016_summer_school:gpw [2018/05/29 22:09] – [Multigrids] mwatkinsevents:2016_summer_school:gpw [2020/08/21 10:15] (current) – external edit 127.0.0.1
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 \sum_{\alpha \beta} P_{\alpha \beta} \bar{\phi}_{\alpha \beta} (\mathbf{r}) = n(\mathbf{R}) \sum_{\alpha \beta} P_{\alpha \beta} \bar{\phi}_{\alpha \beta} (\mathbf{r}) = n(\mathbf{R})
 $$ $$
-where $n(\mathbf{R})$ is the density at grid points in the cell, and $\bar{\phi}_{\alpha \beta}$ are the products of two basis functions +where $n(\mathbf{R})$ is the density at grid points in the cell, and $\bar{\phi}_{\alpha \beta}$ are the products of two basis functions.
-{{materials/collocate.bmp}}+
  
   * numerical approximation of the gradient $n(\mathbf{R}) \rightarrow \nabla n(\mathbf{R})$   * numerical approximation of the gradient $n(\mathbf{R}) \rightarrow \nabla n(\mathbf{R})$
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 {{http://ars.els-cdn.com/content/image/1-s2.0-S0010465505000615-gr002.gif}} {{http://ars.els-cdn.com/content/image/1-s2.0-S0010465505000615-gr002.gif}}
  
-GTH pseudos have small density at the core - graph of density and $v_{XC}$ through a water molecule. These spikes can cause ripples in the energy as atoms move relative to the grid. +GTH pseudos have small density at the core - graph of density and $v_{XC}$ through a water molecule. These spikes can cause ripples in the energy as atoms move relative to the grid. These can be very problematic when trying to calculate vibrational frequencies.
  
-There are smoothing routines `&XC_GRID / XC_DERIV`, but probably best to stick with the defaults ... whatever you do don't change settings between simulations you want to compare.+ 
 +There are smoothing routines `&XC_GRID / XC_DERIV`, see the exercise [[events:2018_summer_school:converging_cutoff]].
  
 {{http://ars.els-cdn.com/content/image/1-s2.0-S0010465505000615-gr003.gif}} {{http://ars.els-cdn.com/content/image/1-s2.0-S0010465505000615-gr003.gif}}
  
-avoid with higher cutoff, or GAPW methodology.+Avoid ripples with higher cutoff, or GAPW methodology.  
 + 
 +Whatever you do don't change settings between simulations you want to compare.
  
-These can be very problematic when trying to calculate vibrational frequencies. 
  
 ==== Multigrids ==== ==== Multigrids ====
events/2016_summer_school/gpw.txt · Last modified: 2020/08/21 10:15 by 127.0.0.1