Objective Lens Diameter: Factors to decide how large the diameter should be
Some time ago this question boggle my mind as I was making a decision on a new scope that was going to cost me more than the gun. How large of an objective lens diameter do I really need – since I don’t want to spend more than necessary.
So, here are some considerations that I gathered from the forums (Thanks for all the help!). If you have any additions or corrections, let me know, I’m still learning....!
Advantages of a larger objective diameter
● #1 Brighter Scope Image
The larger the diameter the more light enters the scope and therefore the larger the exit pupil, resulting in a brighter scope image (all things like glass quality etc. being equal).
However, consider that the human pupil can only open up (dilate) from about 4mm to 8mm (with 8mm after 30min in the darkness, with young, near perfect eyes). People in their 40s and 50s can only get to about 5mm to 6mm. Therefore, more exit pupil than what the human pupil can open up to does not give more light to the eye.
Note also that a lower quality scope with a large diameter can(!) be less bright than a much higher quality scope with a smaller objective. The best is to compare them side by side at your local gun shop or gun range.
Now, there is another reason that favors a larger objective diameter:
● #2 More tolerant as to WHERE the shooter’s eye needs to be
The smaller the diameter and the larger the magnification, the smaller the eye box, i.e., the area where the shooter’s eye has to be in order to see the full scope image. If it is smaller, it will take more time and patience by the shooter to find the eye box and maintain the eye inside of it until the shot is fired.
When doing unhurried shooting (e.g., benchrest) the shooter has the time and can patiently adjust his eye position to find and maintain it inside the eye box. But this time (or patience) might be lacking when doing hurried shooting – read hunting or shooting in certain competitions.
Explanation: The eye box or eye relief tolerance depends on the size of the exit pupil. Simple math calculation: objective lens diameter / magnification = exit pupil. Cf. chart below. The exit pupil should not be too small. Bob Sterne recommends 3mm, with 2mm being marginal. [edited]
Table for recommended exit pupil size
The table as PDF file is here:

Disadvantages of a larger objective diameter
● #1 More expensive scope
Bigger lenses are usually more expensive, but then, I want the performance, so maybe “Buy once, cry once” is not a bad slogan.
● #2 Heavier scope
Now, if I’m already lugging around an 9-pound rifle, is 0.2 pounds more going to make such a big difference?
For example, the 4-12x Hawke Panorama comes with 40mm (19.1oz) and 50mm (22.6oz) objectives. That’s a difference of 0.2 pounds for the 50mm objective.... – Just one can of Coke already weighs 13.9 oz – that’s four times as much....
● #3 Taller scope
A taller scope must clear the barrel, and sometimes that requires higher scope mounts. Before buying measure or ask the seller or on the forums for advice.
Factors that influence the scope magnification or the “power” of the scope
How much magnification a scope should have is a related but different issue. It very much depends on the type of shooting that one wants to do.
Some of these issues I discuss in the following thread:
https://www.airgunnation.com/topic/scope-model-comparison-with-specifications-3-16x-300-500/
You find the factors influencing the magnification not in the thread itself but in the PDF document linked at the end of that post.
Happy shooting!
Matthias