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Geometry Optimisation with CASTEP

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Next: A Variable Cell calculation Up: <strong>Geometry</strong> <strong>Optimisation</strong> <strong>with</strong> <strong>CASTEP</strong> Previous: Other output<br />

files<br />

Checking the absolute convergence of<br />

our Bulk Silicon Calculation<br />

The example calculation <strong>with</strong> bulk silicon does not produce a very accurate answer. Can it be improved?<br />

There are two main sources of error in our calculation;<br />

●<br />

●<br />

Fundamental errors associated <strong>with</strong> the approximations used in the calculation such as the use of<br />

the LDA.<br />

Systematic errors associated <strong>with</strong> inaccuracies in the wavefunctions introduced by using a finite<br />

basis set and wavefunction sampling in reciprocal space.<br />

The latter of these must be reduced to a minimum. To show how this might be done I have repeated the<br />

calculation several times <strong>with</strong> increasing precision in the basis set and <strong>with</strong> various MP grid densities.<br />

Figure 3 below shows the total energy as a function of the basis set size for calculations <strong>with</strong> 1, 10, 28<br />

and 60 K-Points. (See the section on variable cell calculations for a neat trick to efficiently perform many<br />

singlepoint energy calculations at a variety of cutoff energies at a fixed k-point density).

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