Color Picker won't change the color properly?

Question

Hi guys,
I have a weird issue with the color. When I changed the color from dark green to bright lime green on Color Picker. The Color Picker show the specific color I want and then I click "OK". It did not change the dark green to bright lime green... instead it show the dull green color. It is really bugging me because I can't figured it what wrong with it. I checked the Color Mode (RGB mode) and Color Setting... everything seems to be right to me.
Here is the quick screenshot:
I also tested with other color, it still have the same problem. They won't show the bright color, it show the dull color instead.
I hope you guys can help me out!
Thanks,
Christie

Answer 1

OK, a few more thought on this.
Here's what I did and everyone can check for themselves. I made a screen capture of the Color picker and paste it in a RGB and also a CMYK document as shown on the images below. In the CMYK document this converts the RGB color values of the screen capture into the CMYK color space of the document and the colors in the palette are displayed within the document's gamut. If you take the eyedropper and click on any color of the palette on the image you will never get out of gamut colors and this is how they should be displayed in the real Color Picker. The Color picker can still display in a little box out of gamut color if they are selected numerically using the RGB or HSB models but the point is that the display of the palette should be converted to a CMYK color space.
In the RGB document on the second image, like in the real picker, clicking on the palette with the eyedropper will give a lot of out of gamut colors.
Now thinking about out of gamut colors. Illustrator decides what is out of gamut colors by comparing the color space of a CMYK document to the working RGB  color space set in the Color Settings and for an RGB document to the  working CMYK space in the Color Settings. But this is not practical all the time because it is one way only from RGB to CMYK and can not be set from CMYK to RGB, RGB to RGB, and CMYK to CMYK.
CMYK to RGB example: you may have a  document with U.S Web Coated (SWOP) v2 color space and one of its destinations is an sRGB color space. Because you can't set CMYK to RGB for out of gamut consideration, Illustrator will consider out of gamut all sRGB colors that are outside the U.S Web Coated (SWOP) v2 color space. But in this case your destination is sRGB and all colors from the sRGB color space should be presented in gamut and there is actually a small part of the U.S Web Coated (SWOP) v2 colors that are outside of the sRGB color space and only these colors should be shown as out of gamut.
RGB to RGB example: your document is set in Adobe RGB color space because it will be eventually printed to several RGB printers some of which may have narrower gamut than the document. Then you want to set Illustrator to display out of gamut only the colors in the Adobe RGB color space that the RGB printer can't print, but unfortunately this is not possible even if you have the color profile of the printer.
CMYK to CMYK example: you may have a  document with U.S Web Coated (SWOP) v2 color space but one of its destinations is U.S Web Uncoated v2, or US Newsprint, again not possible.
So, in all these examples, the out of gamut colors Illustrator gives in the Color picker and panel are completely useless. Of course the major tool for these tasks remains the soft proofing which is working properly but why not make the out of gamut colors in the Color picker and panel work better and make more sense.