How can I replace x-axis labels with pre-determined symbols?












2












$begingroup$


I want to take a simple plot and change the x-axis so it appears to be measured in terms of certain symbols that are used in the physics literature. See the image below for an example.



Example band structure which illustrates the axis convention.



I will rephrase this as follows: I have some set of numerical coordinates which trace out the curves in my plot. For equal spacings on the x-axis (say once every 100 points), I want to label the line $x=100,n$ with a symbol.



I don't know how to do this. The documentation provided by Mathematica didn't help me. This doesn't seem like something done by just changing the ticks settings.










share|improve this question











$endgroup$












  • $begingroup$
    Provide sample data to work with
    $endgroup$
    – MarcoB
    7 hours ago










  • $begingroup$
    The curves can be anything. You can just plot a simple function if you like. This is just an illustration of how I want to format the axis, not real data.
    $endgroup$
    – miggle
    7 hours ago
















2












$begingroup$


I want to take a simple plot and change the x-axis so it appears to be measured in terms of certain symbols that are used in the physics literature. See the image below for an example.



Example band structure which illustrates the axis convention.



I will rephrase this as follows: I have some set of numerical coordinates which trace out the curves in my plot. For equal spacings on the x-axis (say once every 100 points), I want to label the line $x=100,n$ with a symbol.



I don't know how to do this. The documentation provided by Mathematica didn't help me. This doesn't seem like something done by just changing the ticks settings.










share|improve this question











$endgroup$












  • $begingroup$
    Provide sample data to work with
    $endgroup$
    – MarcoB
    7 hours ago










  • $begingroup$
    The curves can be anything. You can just plot a simple function if you like. This is just an illustration of how I want to format the axis, not real data.
    $endgroup$
    – miggle
    7 hours ago














2












2








2





$begingroup$


I want to take a simple plot and change the x-axis so it appears to be measured in terms of certain symbols that are used in the physics literature. See the image below for an example.



Example band structure which illustrates the axis convention.



I will rephrase this as follows: I have some set of numerical coordinates which trace out the curves in my plot. For equal spacings on the x-axis (say once every 100 points), I want to label the line $x=100,n$ with a symbol.



I don't know how to do this. The documentation provided by Mathematica didn't help me. This doesn't seem like something done by just changing the ticks settings.










share|improve this question











$endgroup$




I want to take a simple plot and change the x-axis so it appears to be measured in terms of certain symbols that are used in the physics literature. See the image below for an example.



Example band structure which illustrates the axis convention.



I will rephrase this as follows: I have some set of numerical coordinates which trace out the curves in my plot. For equal spacings on the x-axis (say once every 100 points), I want to label the line $x=100,n$ with a symbol.



I don't know how to do this. The documentation provided by Mathematica didn't help me. This doesn't seem like something done by just changing the ticks settings.







plotting labeling






share|improve this question















share|improve this question













share|improve this question




share|improve this question








edited 34 mins ago









m_goldberg

88k872199




88k872199










asked 8 hours ago









migglemiggle

3006




3006












  • $begingroup$
    Provide sample data to work with
    $endgroup$
    – MarcoB
    7 hours ago










  • $begingroup$
    The curves can be anything. You can just plot a simple function if you like. This is just an illustration of how I want to format the axis, not real data.
    $endgroup$
    – miggle
    7 hours ago


















  • $begingroup$
    Provide sample data to work with
    $endgroup$
    – MarcoB
    7 hours ago










  • $begingroup$
    The curves can be anything. You can just plot a simple function if you like. This is just an illustration of how I want to format the axis, not real data.
    $endgroup$
    – miggle
    7 hours ago
















$begingroup$
Provide sample data to work with
$endgroup$
– MarcoB
7 hours ago




$begingroup$
Provide sample data to work with
$endgroup$
– MarcoB
7 hours ago












$begingroup$
The curves can be anything. You can just plot a simple function if you like. This is just an illustration of how I want to format the axis, not real data.
$endgroup$
– miggle
7 hours ago




$begingroup$
The curves can be anything. You can just plot a simple function if you like. This is just an illustration of how I want to format the axis, not real data.
$endgroup$
– miggle
7 hours ago










1 Answer
1






active

oldest

votes


















7












$begingroup$

This can be done using either Ticks if you're using axes or FrameTicks if you're using a frame on your plot. I made up a plot since I'm not sure the exact data matters.



Most of the code below is flair to make the graph look a bit nicer. The important bit is FrameTicks. I've told MMA to use its best judgement for 3 of the 4 sides of the graph. For plots, the order is usually {{left, right}, {bottom, top}}, though for certain things you can get away with only 2 arguments {x-argument, y-argument}.



For each side of the frame, FrameTicks is expecting a list of ticks and the label to put on those ticks, so in place of bottom from the above list, I would put something like {{x-value1, "x-label1"}, {x-value2, "x-label2"}, ...}. It is also possible to specify the lengths of the ticks in this way: {{x-value1, "x-label1", {insidelength1, outsidelength1}}, {x-value2, "x-label2", {insidelength2, outsidelength2}}, ...}.



Plot[
Piecewise[
{{-(x - 5)^2 + 50, 0 <= x <= 10},
{-(x - 10)^2 + 25, 10 < x < 15}}],
{x, 0, 15},
Axes -> False,
Frame -> {{True, False}, {True, False}},
FrameLabel -> {{"E (eV)", None}, {"k-space", None}},
FrameStyle -> Directive[16, Black],
FrameTicks ->
{{Automatic, Automatic}, {{{0, "K"}, {5, "Γ"}, {10, "M"}, {15, "K"}}, Automatic}},
ImageSize -> 500,
Epilog -> {
Dashing[{0.001, 0.01}],
Line[{{0, -1}, {0, 25}}],
Line[{{5, -1}, {5, 50}}],
Line[{{10, -1}, {10, 25}}],
Line[{{15, -1}, {15, 0}}]
}
]


Kspace plot of random function.






share|improve this answer











$endgroup$













  • $begingroup$
    Beautiful, thanks a lot! Much easier to understand in the context of using a frame.
    $endgroup$
    – miggle
    6 hours ago












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1 Answer
1






active

oldest

votes








1 Answer
1






active

oldest

votes









active

oldest

votes






active

oldest

votes









7












$begingroup$

This can be done using either Ticks if you're using axes or FrameTicks if you're using a frame on your plot. I made up a plot since I'm not sure the exact data matters.



Most of the code below is flair to make the graph look a bit nicer. The important bit is FrameTicks. I've told MMA to use its best judgement for 3 of the 4 sides of the graph. For plots, the order is usually {{left, right}, {bottom, top}}, though for certain things you can get away with only 2 arguments {x-argument, y-argument}.



For each side of the frame, FrameTicks is expecting a list of ticks and the label to put on those ticks, so in place of bottom from the above list, I would put something like {{x-value1, "x-label1"}, {x-value2, "x-label2"}, ...}. It is also possible to specify the lengths of the ticks in this way: {{x-value1, "x-label1", {insidelength1, outsidelength1}}, {x-value2, "x-label2", {insidelength2, outsidelength2}}, ...}.



Plot[
Piecewise[
{{-(x - 5)^2 + 50, 0 <= x <= 10},
{-(x - 10)^2 + 25, 10 < x < 15}}],
{x, 0, 15},
Axes -> False,
Frame -> {{True, False}, {True, False}},
FrameLabel -> {{"E (eV)", None}, {"k-space", None}},
FrameStyle -> Directive[16, Black],
FrameTicks ->
{{Automatic, Automatic}, {{{0, "K"}, {5, "Γ"}, {10, "M"}, {15, "K"}}, Automatic}},
ImageSize -> 500,
Epilog -> {
Dashing[{0.001, 0.01}],
Line[{{0, -1}, {0, 25}}],
Line[{{5, -1}, {5, 50}}],
Line[{{10, -1}, {10, 25}}],
Line[{{15, -1}, {15, 0}}]
}
]


Kspace plot of random function.






share|improve this answer











$endgroup$













  • $begingroup$
    Beautiful, thanks a lot! Much easier to understand in the context of using a frame.
    $endgroup$
    – miggle
    6 hours ago
















7












$begingroup$

This can be done using either Ticks if you're using axes or FrameTicks if you're using a frame on your plot. I made up a plot since I'm not sure the exact data matters.



Most of the code below is flair to make the graph look a bit nicer. The important bit is FrameTicks. I've told MMA to use its best judgement for 3 of the 4 sides of the graph. For plots, the order is usually {{left, right}, {bottom, top}}, though for certain things you can get away with only 2 arguments {x-argument, y-argument}.



For each side of the frame, FrameTicks is expecting a list of ticks and the label to put on those ticks, so in place of bottom from the above list, I would put something like {{x-value1, "x-label1"}, {x-value2, "x-label2"}, ...}. It is also possible to specify the lengths of the ticks in this way: {{x-value1, "x-label1", {insidelength1, outsidelength1}}, {x-value2, "x-label2", {insidelength2, outsidelength2}}, ...}.



Plot[
Piecewise[
{{-(x - 5)^2 + 50, 0 <= x <= 10},
{-(x - 10)^2 + 25, 10 < x < 15}}],
{x, 0, 15},
Axes -> False,
Frame -> {{True, False}, {True, False}},
FrameLabel -> {{"E (eV)", None}, {"k-space", None}},
FrameStyle -> Directive[16, Black],
FrameTicks ->
{{Automatic, Automatic}, {{{0, "K"}, {5, "Γ"}, {10, "M"}, {15, "K"}}, Automatic}},
ImageSize -> 500,
Epilog -> {
Dashing[{0.001, 0.01}],
Line[{{0, -1}, {0, 25}}],
Line[{{5, -1}, {5, 50}}],
Line[{{10, -1}, {10, 25}}],
Line[{{15, -1}, {15, 0}}]
}
]


Kspace plot of random function.






share|improve this answer











$endgroup$













  • $begingroup$
    Beautiful, thanks a lot! Much easier to understand in the context of using a frame.
    $endgroup$
    – miggle
    6 hours ago














7












7








7





$begingroup$

This can be done using either Ticks if you're using axes or FrameTicks if you're using a frame on your plot. I made up a plot since I'm not sure the exact data matters.



Most of the code below is flair to make the graph look a bit nicer. The important bit is FrameTicks. I've told MMA to use its best judgement for 3 of the 4 sides of the graph. For plots, the order is usually {{left, right}, {bottom, top}}, though for certain things you can get away with only 2 arguments {x-argument, y-argument}.



For each side of the frame, FrameTicks is expecting a list of ticks and the label to put on those ticks, so in place of bottom from the above list, I would put something like {{x-value1, "x-label1"}, {x-value2, "x-label2"}, ...}. It is also possible to specify the lengths of the ticks in this way: {{x-value1, "x-label1", {insidelength1, outsidelength1}}, {x-value2, "x-label2", {insidelength2, outsidelength2}}, ...}.



Plot[
Piecewise[
{{-(x - 5)^2 + 50, 0 <= x <= 10},
{-(x - 10)^2 + 25, 10 < x < 15}}],
{x, 0, 15},
Axes -> False,
Frame -> {{True, False}, {True, False}},
FrameLabel -> {{"E (eV)", None}, {"k-space", None}},
FrameStyle -> Directive[16, Black],
FrameTicks ->
{{Automatic, Automatic}, {{{0, "K"}, {5, "Γ"}, {10, "M"}, {15, "K"}}, Automatic}},
ImageSize -> 500,
Epilog -> {
Dashing[{0.001, 0.01}],
Line[{{0, -1}, {0, 25}}],
Line[{{5, -1}, {5, 50}}],
Line[{{10, -1}, {10, 25}}],
Line[{{15, -1}, {15, 0}}]
}
]


Kspace plot of random function.






share|improve this answer











$endgroup$



This can be done using either Ticks if you're using axes or FrameTicks if you're using a frame on your plot. I made up a plot since I'm not sure the exact data matters.



Most of the code below is flair to make the graph look a bit nicer. The important bit is FrameTicks. I've told MMA to use its best judgement for 3 of the 4 sides of the graph. For plots, the order is usually {{left, right}, {bottom, top}}, though for certain things you can get away with only 2 arguments {x-argument, y-argument}.



For each side of the frame, FrameTicks is expecting a list of ticks and the label to put on those ticks, so in place of bottom from the above list, I would put something like {{x-value1, "x-label1"}, {x-value2, "x-label2"}, ...}. It is also possible to specify the lengths of the ticks in this way: {{x-value1, "x-label1", {insidelength1, outsidelength1}}, {x-value2, "x-label2", {insidelength2, outsidelength2}}, ...}.



Plot[
Piecewise[
{{-(x - 5)^2 + 50, 0 <= x <= 10},
{-(x - 10)^2 + 25, 10 < x < 15}}],
{x, 0, 15},
Axes -> False,
Frame -> {{True, False}, {True, False}},
FrameLabel -> {{"E (eV)", None}, {"k-space", None}},
FrameStyle -> Directive[16, Black],
FrameTicks ->
{{Automatic, Automatic}, {{{0, "K"}, {5, "Γ"}, {10, "M"}, {15, "K"}}, Automatic}},
ImageSize -> 500,
Epilog -> {
Dashing[{0.001, 0.01}],
Line[{{0, -1}, {0, 25}}],
Line[{{5, -1}, {5, 50}}],
Line[{{10, -1}, {10, 25}}],
Line[{{15, -1}, {15, 0}}]
}
]


Kspace plot of random function.







share|improve this answer














share|improve this answer



share|improve this answer








edited 47 mins ago









m_goldberg

88k872199




88k872199










answered 7 hours ago









MassDefectMassDefect

2,135311




2,135311












  • $begingroup$
    Beautiful, thanks a lot! Much easier to understand in the context of using a frame.
    $endgroup$
    – miggle
    6 hours ago


















  • $begingroup$
    Beautiful, thanks a lot! Much easier to understand in the context of using a frame.
    $endgroup$
    – miggle
    6 hours ago
















$begingroup$
Beautiful, thanks a lot! Much easier to understand in the context of using a frame.
$endgroup$
– miggle
6 hours ago




$begingroup$
Beautiful, thanks a lot! Much easier to understand in the context of using a frame.
$endgroup$
– miggle
6 hours ago


















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