Mathematica Asked by Dema SD on May 28, 2021
I’ve edited a code written for cubic lattice to make it for a tertagonal lattice, but the planes are wrong. They should reach the boundary of the shape, so I need a correction for this code:
Manipulate[
Show[
LatticeData[ Which[Type == "SimpleTetragonal", "SimpleTetragonal"],
"Image"],
Table[ ContourPlot3D[ h*x + k*y + l*z - r == 0,
{x, -1, 1}, {y, -1, 1}, {z, -1, 1},
ColorFunction -> Function[{x, y, z, f}, {Blue, Opacity[Op]}],
Mesh -> False, BoundaryStyle -> Black], {r, -(h + k + l),
h + k + l - 2, 2}],
Graphics3D[{Thick,
Red, Arrow[{{-1.01, -1.01, -1.01}, {1.6, -1.01, -1.01}}],
Blue, Arrow[{{-1.01, -1.01, -1.01}, {-1.01, 1.6, -1.01}}],
Darker@Green, Arrow[{{-1.01, -1.01, -1.01}, {-1.01, -1.01, 1.6}}]
}],
SphericalRegion -> True, ImageSize -> 1.1 {500, 400}
],
{{Type, "SimpleTetragonal", "lattice"}, {"SimpleTetragonal"}},
Row[{"Miller indices", Spacer[20],
Control[{{h, 1, Style["h", Italic]}, Range[0, 10, 1]}], Spacer[20],
Control[{{k, 1, Style["k", Italic]}, Range[0, 10, 1]}], Spacer[20],
Control[{{l, 1, Style["l", Italic]}, Range[0, 10, 1]}]}],
{{Op, 0.5, "plane opacity"}, 0, 1}]
Original code from : https://demonstrations.wolfram.com/CrystallographicPlanesForCubicLattices/
You need to change the variable ranges in ContourPlot3D
to match the ranges from LatticeData
, which are wider for this lattice than for the one you were using before:
PlotRange@
LatticeData["SimpleTetragonal", "Image"]
(* Out: {{-1.06, 1.06}, {-1.06, 1.06}, {-1.06, 1.56}} *)
So change your ContourPlot3D
call to:
ContourPlot3D[
h*x + k*y + l*z - r == 0,
{x, -1.06, 1.06},
{y, -1.06, 1.06},
{z, -1.06, 1.56},
ColorFunction -> Function[{x, y, z, f}, {Blue, Opacity[Op]}],
Mesh -> False, BoundaryStyle -> Black
]
Answered by MarcoB on May 28, 2021
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