What exact color does ozone gas have?












5












$begingroup$


This answer to a now closed question says that ozone gas has a "slight blue" color. But there are lots of blue colors: sky blue, ultramarine, phthalo blue, many others — what is closer to the color of ozone?



This page shows photos of ozone solutions in water, like the one below, but this may not be representative of the color of the gas.



pure water vs ozone>100ppm (source)



So, what exactly color does ozone gas have? Is it a single hue, or does it change depending on concentration/amount of ozone?










share|improve this question











$endgroup$

















    5












    $begingroup$


    This answer to a now closed question says that ozone gas has a "slight blue" color. But there are lots of blue colors: sky blue, ultramarine, phthalo blue, many others — what is closer to the color of ozone?



    This page shows photos of ozone solutions in water, like the one below, but this may not be representative of the color of the gas.



    pure water vs ozone>100ppm (source)



    So, what exactly color does ozone gas have? Is it a single hue, or does it change depending on concentration/amount of ozone?










    share|improve this question











    $endgroup$















      5












      5








      5


      1



      $begingroup$


      This answer to a now closed question says that ozone gas has a "slight blue" color. But there are lots of blue colors: sky blue, ultramarine, phthalo blue, many others — what is closer to the color of ozone?



      This page shows photos of ozone solutions in water, like the one below, but this may not be representative of the color of the gas.



      pure water vs ozone>100ppm (source)



      So, what exactly color does ozone gas have? Is it a single hue, or does it change depending on concentration/amount of ozone?










      share|improve this question











      $endgroup$




      This answer to a now closed question says that ozone gas has a "slight blue" color. But there are lots of blue colors: sky blue, ultramarine, phthalo blue, many others — what is closer to the color of ozone?



      This page shows photos of ozone solutions in water, like the one below, but this may not be representative of the color of the gas.



      pure water vs ozone>100ppm (source)



      So, what exactly color does ozone gas have? Is it a single hue, or does it change depending on concentration/amount of ozone?







      inorganic-chemistry color






      share|improve this question















      share|improve this question













      share|improve this question




      share|improve this question








      edited 7 mins ago









      MackTuesday

      22519




      22519










      asked 3 hours ago









      RuslanRuslan

      401113




      401113






















          1 Answer
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          9












          $begingroup$

          Due to Chappuis absorption, ozone does have a bluish color. To determine exactly what kind of blue it is, let's first look at the spectrum of absorption in the Chappuis band. The following plot was done using these data for 293K.



          Chappuis band spectrum



          This is spectral cross-section of absorption. To determine color from this spectrum, we need to choose some parameters:




          1. Number density of ozone molecules,

          2. Thickness of ozone layer we're trying to visualize,

          3. Illuminant.


          If we denote spectral radiance of our illuminant as $L(lambda)$, thickness of ozone layer as $d$, ozone molecule number density as $rho$, and absorption cross-section as $sigma(lambda)$, then we'll get the following expression for spectral radiance transmitted through the layer:



          $$L_T(lambda)=L(lambda)expbig(-sigma(lambda)rho dbig).$$



          The most sensible illuminant to choose for showing color of a material on the web is the CIE illuminant D65, whose color is the white point of the sRGB color space. Its spectrum can be found e.g. here.



          We can find the color in XYZ space using CIE 1931 color matching functions (can be found e.g. here). The expression is



          $$c_X=int_{300}^{830}L_T(lambda)bar x(lambda),mathrm dlambda,$$



          and similarly for $Y$ and $Z$ coordinates. Then these can be transformed to sRGB using linear transformation matrix $mathrm{XYZ}tomathrm{sRGB}$ given e.g. here and gamma-correcting to $gamma=1/2.2$ to yield final sRGB values.



          Then, for ozone molecule number density $rho=10^{25} frac{mathrm{molecule}}{mathrm{m}^3}$ we'll get the following colors for different layer thicknesses:



          colors of ozone at different layer thickness values



          For comparison, typical ozone column in the atmospheric ozone layer is about 300 Dobson units, which is equivalent to $2.687times10^{20}frac{mathrm{molecule}}{mathrm m^2}$; with our $rho$ chosen above this corresponds to $d=8,mathrm{mm}$. So for daylight, ozone column has negligible effect on the sky color (unlike the evening — see the history of Chappuis absorption!).



          As can be seen in the above plot, hue does change with increasing layer thickness. If we normalize the RGB values to see the hues of the thick layers (this would correspond to increasing illuminant power to compensate for absorption), we'll get the following hues:



          hues of ozone at different layer thickness values



          Note that the violet hues in the above plot aren't accurate: they can't be accurately represented on sRGB monitors, so the plot only approximates them. They should be more saturated. Here's how the chromaticity changes from the white point to the most violet with increasing layer thickness (dashed triangle denotes the sRGB gamut):



          chromaticity xy coordinates of ozone layers of different thickness






          share|improve this answer











          $endgroup$













          • $begingroup$
            Nice answer, but why did you ask the question? ;-)
            $endgroup$
            – Karl
            2 hours ago






          • 1




            $begingroup$
            @Karl Own Q-A duets are perfectly fine :)
            $endgroup$
            – andselisk
            1 hour ago






          • 2




            $begingroup$
            @Karl because the other question where I could have posted the answer is closed, and unlikely to be reopened given how long ago it happened. But since I think the question is still relevant (in the form "what color" instead of "does it have a color"), not easily (if at all) answered by googling, and interesting, I made this Q&A.
            $endgroup$
            – Ruslan
            1 hour ago













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          active

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          9












          $begingroup$

          Due to Chappuis absorption, ozone does have a bluish color. To determine exactly what kind of blue it is, let's first look at the spectrum of absorption in the Chappuis band. The following plot was done using these data for 293K.



          Chappuis band spectrum



          This is spectral cross-section of absorption. To determine color from this spectrum, we need to choose some parameters:




          1. Number density of ozone molecules,

          2. Thickness of ozone layer we're trying to visualize,

          3. Illuminant.


          If we denote spectral radiance of our illuminant as $L(lambda)$, thickness of ozone layer as $d$, ozone molecule number density as $rho$, and absorption cross-section as $sigma(lambda)$, then we'll get the following expression for spectral radiance transmitted through the layer:



          $$L_T(lambda)=L(lambda)expbig(-sigma(lambda)rho dbig).$$



          The most sensible illuminant to choose for showing color of a material on the web is the CIE illuminant D65, whose color is the white point of the sRGB color space. Its spectrum can be found e.g. here.



          We can find the color in XYZ space using CIE 1931 color matching functions (can be found e.g. here). The expression is



          $$c_X=int_{300}^{830}L_T(lambda)bar x(lambda),mathrm dlambda,$$



          and similarly for $Y$ and $Z$ coordinates. Then these can be transformed to sRGB using linear transformation matrix $mathrm{XYZ}tomathrm{sRGB}$ given e.g. here and gamma-correcting to $gamma=1/2.2$ to yield final sRGB values.



          Then, for ozone molecule number density $rho=10^{25} frac{mathrm{molecule}}{mathrm{m}^3}$ we'll get the following colors for different layer thicknesses:



          colors of ozone at different layer thickness values



          For comparison, typical ozone column in the atmospheric ozone layer is about 300 Dobson units, which is equivalent to $2.687times10^{20}frac{mathrm{molecule}}{mathrm m^2}$; with our $rho$ chosen above this corresponds to $d=8,mathrm{mm}$. So for daylight, ozone column has negligible effect on the sky color (unlike the evening — see the history of Chappuis absorption!).



          As can be seen in the above plot, hue does change with increasing layer thickness. If we normalize the RGB values to see the hues of the thick layers (this would correspond to increasing illuminant power to compensate for absorption), we'll get the following hues:



          hues of ozone at different layer thickness values



          Note that the violet hues in the above plot aren't accurate: they can't be accurately represented on sRGB monitors, so the plot only approximates them. They should be more saturated. Here's how the chromaticity changes from the white point to the most violet with increasing layer thickness (dashed triangle denotes the sRGB gamut):



          chromaticity xy coordinates of ozone layers of different thickness






          share|improve this answer











          $endgroup$













          • $begingroup$
            Nice answer, but why did you ask the question? ;-)
            $endgroup$
            – Karl
            2 hours ago






          • 1




            $begingroup$
            @Karl Own Q-A duets are perfectly fine :)
            $endgroup$
            – andselisk
            1 hour ago






          • 2




            $begingroup$
            @Karl because the other question where I could have posted the answer is closed, and unlikely to be reopened given how long ago it happened. But since I think the question is still relevant (in the form "what color" instead of "does it have a color"), not easily (if at all) answered by googling, and interesting, I made this Q&A.
            $endgroup$
            – Ruslan
            1 hour ago


















          9












          $begingroup$

          Due to Chappuis absorption, ozone does have a bluish color. To determine exactly what kind of blue it is, let's first look at the spectrum of absorption in the Chappuis band. The following plot was done using these data for 293K.



          Chappuis band spectrum



          This is spectral cross-section of absorption. To determine color from this spectrum, we need to choose some parameters:




          1. Number density of ozone molecules,

          2. Thickness of ozone layer we're trying to visualize,

          3. Illuminant.


          If we denote spectral radiance of our illuminant as $L(lambda)$, thickness of ozone layer as $d$, ozone molecule number density as $rho$, and absorption cross-section as $sigma(lambda)$, then we'll get the following expression for spectral radiance transmitted through the layer:



          $$L_T(lambda)=L(lambda)expbig(-sigma(lambda)rho dbig).$$



          The most sensible illuminant to choose for showing color of a material on the web is the CIE illuminant D65, whose color is the white point of the sRGB color space. Its spectrum can be found e.g. here.



          We can find the color in XYZ space using CIE 1931 color matching functions (can be found e.g. here). The expression is



          $$c_X=int_{300}^{830}L_T(lambda)bar x(lambda),mathrm dlambda,$$



          and similarly for $Y$ and $Z$ coordinates. Then these can be transformed to sRGB using linear transformation matrix $mathrm{XYZ}tomathrm{sRGB}$ given e.g. here and gamma-correcting to $gamma=1/2.2$ to yield final sRGB values.



          Then, for ozone molecule number density $rho=10^{25} frac{mathrm{molecule}}{mathrm{m}^3}$ we'll get the following colors for different layer thicknesses:



          colors of ozone at different layer thickness values



          For comparison, typical ozone column in the atmospheric ozone layer is about 300 Dobson units, which is equivalent to $2.687times10^{20}frac{mathrm{molecule}}{mathrm m^2}$; with our $rho$ chosen above this corresponds to $d=8,mathrm{mm}$. So for daylight, ozone column has negligible effect on the sky color (unlike the evening — see the history of Chappuis absorption!).



          As can be seen in the above plot, hue does change with increasing layer thickness. If we normalize the RGB values to see the hues of the thick layers (this would correspond to increasing illuminant power to compensate for absorption), we'll get the following hues:



          hues of ozone at different layer thickness values



          Note that the violet hues in the above plot aren't accurate: they can't be accurately represented on sRGB monitors, so the plot only approximates them. They should be more saturated. Here's how the chromaticity changes from the white point to the most violet with increasing layer thickness (dashed triangle denotes the sRGB gamut):



          chromaticity xy coordinates of ozone layers of different thickness






          share|improve this answer











          $endgroup$













          • $begingroup$
            Nice answer, but why did you ask the question? ;-)
            $endgroup$
            – Karl
            2 hours ago






          • 1




            $begingroup$
            @Karl Own Q-A duets are perfectly fine :)
            $endgroup$
            – andselisk
            1 hour ago






          • 2




            $begingroup$
            @Karl because the other question where I could have posted the answer is closed, and unlikely to be reopened given how long ago it happened. But since I think the question is still relevant (in the form "what color" instead of "does it have a color"), not easily (if at all) answered by googling, and interesting, I made this Q&A.
            $endgroup$
            – Ruslan
            1 hour ago
















          9












          9








          9





          $begingroup$

          Due to Chappuis absorption, ozone does have a bluish color. To determine exactly what kind of blue it is, let's first look at the spectrum of absorption in the Chappuis band. The following plot was done using these data for 293K.



          Chappuis band spectrum



          This is spectral cross-section of absorption. To determine color from this spectrum, we need to choose some parameters:




          1. Number density of ozone molecules,

          2. Thickness of ozone layer we're trying to visualize,

          3. Illuminant.


          If we denote spectral radiance of our illuminant as $L(lambda)$, thickness of ozone layer as $d$, ozone molecule number density as $rho$, and absorption cross-section as $sigma(lambda)$, then we'll get the following expression for spectral radiance transmitted through the layer:



          $$L_T(lambda)=L(lambda)expbig(-sigma(lambda)rho dbig).$$



          The most sensible illuminant to choose for showing color of a material on the web is the CIE illuminant D65, whose color is the white point of the sRGB color space. Its spectrum can be found e.g. here.



          We can find the color in XYZ space using CIE 1931 color matching functions (can be found e.g. here). The expression is



          $$c_X=int_{300}^{830}L_T(lambda)bar x(lambda),mathrm dlambda,$$



          and similarly for $Y$ and $Z$ coordinates. Then these can be transformed to sRGB using linear transformation matrix $mathrm{XYZ}tomathrm{sRGB}$ given e.g. here and gamma-correcting to $gamma=1/2.2$ to yield final sRGB values.



          Then, for ozone molecule number density $rho=10^{25} frac{mathrm{molecule}}{mathrm{m}^3}$ we'll get the following colors for different layer thicknesses:



          colors of ozone at different layer thickness values



          For comparison, typical ozone column in the atmospheric ozone layer is about 300 Dobson units, which is equivalent to $2.687times10^{20}frac{mathrm{molecule}}{mathrm m^2}$; with our $rho$ chosen above this corresponds to $d=8,mathrm{mm}$. So for daylight, ozone column has negligible effect on the sky color (unlike the evening — see the history of Chappuis absorption!).



          As can be seen in the above plot, hue does change with increasing layer thickness. If we normalize the RGB values to see the hues of the thick layers (this would correspond to increasing illuminant power to compensate for absorption), we'll get the following hues:



          hues of ozone at different layer thickness values



          Note that the violet hues in the above plot aren't accurate: they can't be accurately represented on sRGB monitors, so the plot only approximates them. They should be more saturated. Here's how the chromaticity changes from the white point to the most violet with increasing layer thickness (dashed triangle denotes the sRGB gamut):



          chromaticity xy coordinates of ozone layers of different thickness






          share|improve this answer











          $endgroup$



          Due to Chappuis absorption, ozone does have a bluish color. To determine exactly what kind of blue it is, let's first look at the spectrum of absorption in the Chappuis band. The following plot was done using these data for 293K.



          Chappuis band spectrum



          This is spectral cross-section of absorption. To determine color from this spectrum, we need to choose some parameters:




          1. Number density of ozone molecules,

          2. Thickness of ozone layer we're trying to visualize,

          3. Illuminant.


          If we denote spectral radiance of our illuminant as $L(lambda)$, thickness of ozone layer as $d$, ozone molecule number density as $rho$, and absorption cross-section as $sigma(lambda)$, then we'll get the following expression for spectral radiance transmitted through the layer:



          $$L_T(lambda)=L(lambda)expbig(-sigma(lambda)rho dbig).$$



          The most sensible illuminant to choose for showing color of a material on the web is the CIE illuminant D65, whose color is the white point of the sRGB color space. Its spectrum can be found e.g. here.



          We can find the color in XYZ space using CIE 1931 color matching functions (can be found e.g. here). The expression is



          $$c_X=int_{300}^{830}L_T(lambda)bar x(lambda),mathrm dlambda,$$



          and similarly for $Y$ and $Z$ coordinates. Then these can be transformed to sRGB using linear transformation matrix $mathrm{XYZ}tomathrm{sRGB}$ given e.g. here and gamma-correcting to $gamma=1/2.2$ to yield final sRGB values.



          Then, for ozone molecule number density $rho=10^{25} frac{mathrm{molecule}}{mathrm{m}^3}$ we'll get the following colors for different layer thicknesses:



          colors of ozone at different layer thickness values



          For comparison, typical ozone column in the atmospheric ozone layer is about 300 Dobson units, which is equivalent to $2.687times10^{20}frac{mathrm{molecule}}{mathrm m^2}$; with our $rho$ chosen above this corresponds to $d=8,mathrm{mm}$. So for daylight, ozone column has negligible effect on the sky color (unlike the evening — see the history of Chappuis absorption!).



          As can be seen in the above plot, hue does change with increasing layer thickness. If we normalize the RGB values to see the hues of the thick layers (this would correspond to increasing illuminant power to compensate for absorption), we'll get the following hues:



          hues of ozone at different layer thickness values



          Note that the violet hues in the above plot aren't accurate: they can't be accurately represented on sRGB monitors, so the plot only approximates them. They should be more saturated. Here's how the chromaticity changes from the white point to the most violet with increasing layer thickness (dashed triangle denotes the sRGB gamut):



          chromaticity xy coordinates of ozone layers of different thickness







          share|improve this answer














          share|improve this answer



          share|improve this answer








          edited 1 hour ago

























          answered 3 hours ago









          RuslanRuslan

          401113




          401113












          • $begingroup$
            Nice answer, but why did you ask the question? ;-)
            $endgroup$
            – Karl
            2 hours ago






          • 1




            $begingroup$
            @Karl Own Q-A duets are perfectly fine :)
            $endgroup$
            – andselisk
            1 hour ago






          • 2




            $begingroup$
            @Karl because the other question where I could have posted the answer is closed, and unlikely to be reopened given how long ago it happened. But since I think the question is still relevant (in the form "what color" instead of "does it have a color"), not easily (if at all) answered by googling, and interesting, I made this Q&A.
            $endgroup$
            – Ruslan
            1 hour ago




















          • $begingroup$
            Nice answer, but why did you ask the question? ;-)
            $endgroup$
            – Karl
            2 hours ago






          • 1




            $begingroup$
            @Karl Own Q-A duets are perfectly fine :)
            $endgroup$
            – andselisk
            1 hour ago






          • 2




            $begingroup$
            @Karl because the other question where I could have posted the answer is closed, and unlikely to be reopened given how long ago it happened. But since I think the question is still relevant (in the form "what color" instead of "does it have a color"), not easily (if at all) answered by googling, and interesting, I made this Q&A.
            $endgroup$
            – Ruslan
            1 hour ago


















          $begingroup$
          Nice answer, but why did you ask the question? ;-)
          $endgroup$
          – Karl
          2 hours ago




          $begingroup$
          Nice answer, but why did you ask the question? ;-)
          $endgroup$
          – Karl
          2 hours ago




          1




          1




          $begingroup$
          @Karl Own Q-A duets are perfectly fine :)
          $endgroup$
          – andselisk
          1 hour ago




          $begingroup$
          @Karl Own Q-A duets are perfectly fine :)
          $endgroup$
          – andselisk
          1 hour ago




          2




          2




          $begingroup$
          @Karl because the other question where I could have posted the answer is closed, and unlikely to be reopened given how long ago it happened. But since I think the question is still relevant (in the form "what color" instead of "does it have a color"), not easily (if at all) answered by googling, and interesting, I made this Q&A.
          $endgroup$
          – Ruslan
          1 hour ago






          $begingroup$
          @Karl because the other question where I could have posted the answer is closed, and unlikely to be reopened given how long ago it happened. But since I think the question is still relevant (in the form "what color" instead of "does it have a color"), not easily (if at all) answered by googling, and interesting, I made this Q&A.
          $endgroup$
          – Ruslan
          1 hour ago




















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