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CASINO manual - Theory of Condensed Matter

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Origin(s) for each potential (au)<br />

0.0 0.0 0.0<br />

Potential<br />

... insert potential specification <strong>of</strong> appropriate type (see below)<br />

END SET 1<br />

... insert as many sets as required, consistently with ‘Number <strong>of</strong> sets’ above<br />

END EXPOT<br />

START EXPOT_WFN<br />

Title<br />

title<br />

Number <strong>of</strong> sets<br />

1<br />

START SET 1<br />

Periodicity [APERIODIC/PERIODIC]<br />

PERIODIC<br />

Type <strong>of</strong> orbitals<br />

FOURIER<br />

Direction [ISOTROPIC/A1/A2/A3/X/Y/Z/CUSTOM]<br />

Z<br />

[If CUSTOM then add direction vector after keyword e.g. CUSTOM 1.0 1.0 0.0]<br />

Origin <strong>of</strong> orbitals<br />

0.d0 0.d0 0.d0<br />

Orbitals<br />

... insert orbital specification <strong>of</strong> appropriate type (see below)<br />

END SET 1<br />

... insert as many sets as required, consistently with ‘Number <strong>of</strong> sets’ above<br />

END EXPOT_WFN<br />

Notes:<br />

1. The Type <strong>of</strong> representation may take the following values for APERIODIC potentials (the<br />

form <strong>of</strong> the corresponding Potential section is also given):<br />

‘SQUARE’ Square well/barrier potentials centred at specified points. ‘Height’ can be set to<br />

INF or -INF for generating infinite barriers or wells, respectively.<br />

Potential<br />

Width (au)<br />

1.d0<br />

Height (au)<br />

-2.d0<br />

‘LINEAR’ Linear potential corresponding to constant electric field E (= −dV/dx) passing<br />

through 0 at specified point. Note that (i) it is assumed that the particles have charge −1<br />

and (ii) the electrostatic energy <strong>of</strong> the nuclei is not calculated.<br />

Potential<br />

Electric Field (au)<br />

1.d0<br />

‘ANALYTIC’ Analytic aperiodic functions (for example, Gaussians, harmonic wells) centred<br />

at specified points. Type <strong>of</strong> function to be specified in the Potential section:<br />

Potential<br />

Function type and defining parameters [(choose one; extra types definable)]<br />

GAUSSIAN 1.d0 2.d0 0.d0 ! c,a,b in c*exp(-a*r^2)+b<br />

HARMONIC 2.d0 0.d0 ! a,b in ar^2+b<br />

SLAB 20.0 2.0<br />

! Slab width, 2D r_s param.<br />

‘GAUSSIAN’ Aperiodic Gaussian expansion.<br />

Potential<br />

Number <strong>of</strong> Gaussians<br />

2<br />

Coefficients and exponents<br />

1.d0 6.d0<br />

1.d0 2.d0<br />

‘NUMERICAL’ Numerical representation on a grid.<br />

88

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