Can I Use a 2/3" CCTV Lens on a 1/3" Camera?

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i have a camera with 1/3 " format. I have a cctv lens in front of it with a focal length of 50mm. In order to improve my FOV i intend to use a cctv lens of a smaller focal length, and the vendor is providing me a smaller focal length for a 2/3 " format. i want to know if a cctv of say 25mm focal length, 2/3" format would work equally for a 1/3" format?

I also wish to know the relation that exists b/w the diagonal length of the image pick up device and the terminology that is used to represent the size of the image pick up device i.e the format.
 
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It's not clear what you mean by 'improve'. "Increase"?

I'm also a bit confused by your second question- the CCD spec (1/4", 1/3", 2/3") refers to the diagonal dimension of the chip, which loosely correlates with the number of pixels.
 
yes, I intend to increase the FOV

And as far as the second question goes, I wish to know what that exact relation is .
 
You need information about the chip- pixel size and spacing, color filter (if present) to answer that, if I understand what you are asking.

A lens designed for a 2/3" chip will work just fine on a 1/3" chip- maybe even better, because the 1/3" chip will only pick up a central portion of the image plane, and aberrations are usually much less on-axis.