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What does f-stop mean? Is it the same thing when people say "2 stops" for example?

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I'm not able to explain this as well as here: uscoles.com/fstop.htm a great explanation –  radius Jul 16 '10 at 15:15

3 Answers 3

up vote 56 down vote accepted

An f-stop is kind of a combination of two terms. First off, f/N is generally the notation used to indicate the size of the diaphragm opening, or aperture, in a camera. Let me give a little detail about how that notation came about, before I go on to explain the meaning of a stop.

Aperture Values and f/Stops

Aperture openings are measured as fractions of the focal length of a lens. That is what the 'f' stands for in the aperture rating, 'focal length'. Assuming we have the epitome of lenses, the 50mm, with an aperture of f/2.8, we can determine the actual diameter of the aperture opening like so:

50mm / 2.8 = 17.85mm

If we open the aperture up to its maximum of, say, 1.4, we can measure that as well:

50mm / 1.4 = 35.71mm

The difference between an aperture of f/2.8 and an aperture of f/1.4 is a difference of four times as much light...or two stops. We know this because the area of the aperture opening itself is four times as large at f/1.4 (1001.54mm^2) as it is at f/2.8 (250.25mm^2). A stop in photography nomenclature means a difference of one exposure value, which is the doubling, or halving, of the amount of light reaching the sensor. There are a few standard "full stops" that f-numbers are rated in:

1, 1.4, 2, 2.8, 4, 5.6, 8, 11, 16, 22, 32, 45, 64

These aperture settings all differ by one full exposure value, or one full "stop", and create the full f-stop scale. When you close down your 50mm f/1.4 lens from its maximum aperture of f/1.4 to an aperture of f/2.8, you are "stopping down" by two full stops.

It should be noted that most cameras these days offer a two additional f-stop scales beyond the standard full stop scale: a half-stop scale and a third-stop scale. Most cameras default to a fractional scale rather than the full stop scale, so it is important to learn and memorize the full stop scale so that you are making the proper adjustments when you change your aperture setting on your camera.

Half-stop Aperture Value Scale

1, 1.2, 1.4, 1.7, 2, 2.4, 2.8, 3.3, 4, 4.8, 5.6, 6.7, 8, 9.5, 11, 13, 16, 19, 22

Third-stop Aperture Value Scale

1, 1.1, 1.2, 1.4, 1.6, 1.8, 2, 2.2, 2.5, 2.8, 3.2, 3.5, 4, 4.5, 5.0, 5.6, 6.3, 7.1, 8, 9, 10, 11, 13, 14, 16, 18, 20, 22

Relationship with Shutter Speed

An important relationship exists between aperture and shutter speed. Both are rated in stops. While aperture differences are often denoted in 'f/stops', shutter speed changes are usually simply called 'stops', or possibly exposure values.

Back to our example with the 50mm lens. Assuming we are shooting on a bright sunny day, with an ISO of 100. We have the aperture set to f/16, and the shutter speed set to 1/100th. (This is called the "Sunny 16" setting, as photographic theory indicates that an f/16 aperture, with a shutter speed matching the ISO speed, will produce a proper exposure in bright midday sunlight.)

Assuming we need to shoot something that is moving very fast, and we need a higher shutter speed. We can easily calculate the proper aperture value, assuming we know how many stops of additional shutter speed we need. If we increase our shutter speed to 1/200th, that is a difference of one whole stop. Shutter speed and aperture are inverses of each other, so if we increase shutter speed by one stop, we must open the aperture by one f/stop, to f/11. Despite the difference from the original settings, the new settings will produce the same exposure. The same applies if you are using a half- or third-stop scale...any half or third stop adjustment of one setting requires an similar inverse adjustment of the other.

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Excellent explanation! –  stevenvh Sep 18 '10 at 14:58
    
One mistake in the last paragraph: f/16 to f/8 is two stops, not one. –  fejesjoco Sep 3 '13 at 19:13
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f/x.y is troubling me. For the number and decimal, I'd rather go with n.n or N.n or even f/#.# rather than the traditional letters that are used to designate abscissa/ordinate directions or unknowns. –  Stan Sep 5 '13 at 0:14

The "f-stop" is the figure for measuring the aperture, and is measured as a ratio of the focal length (that's the "f").

So, at 100mm focal length, with an f-stop of f/2.8, the aperture is physically about 35mm wide.

Nowadays, most cameras allow the aperture to be adjusted by a third of a stop or half a stop, but "a stop" is either halving the size of the aperture (so f/2.8 to f/4) or doubling it (so f/5.6 to f/4).

Similarly, with shutter speeds, one stop is either halving the time ( 1/60 -> 1/120) or doubling it (1/60 -> 1/30)

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Your answer is mostly correct. Minor adjustments needed though; the next smaller full f-stop after f/2.8 is f/4, not f/5.6 (it comes after f/4). f/4 has an area that is half of that for f/2.8. This means that 1/60 sec at f/2.8 will give the same exposure as 1/30 sec at f/4. –  Fredrik Mörk Jul 16 '10 at 15:37
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Another correction: The f-stop does not measure the physical size of the aperture, it measures how large it looks when viewed from the front lens, i.e. how much light it actually lets in. –  Guffa Jul 16 '10 at 16:20
    
@Guffa: are you really sure? Can you provide a reference (it's the first time I hear about it)? I have always read that it was simply the focal length divided by the aperture diameter. –  Fredrik Mörk Jul 16 '10 at 16:37
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@Frefrik: Yes, it is the focal length divided by the aperture diameter, but it's not the actual aperture diameter, but the effective aperture diameter. chestofbooks.com/arts/photography/… If it was the actual aperture diameter, different lenses would give completely different exposure for the same f-stop setting. –  Guffa Jul 16 '10 at 18:11
    
@Guffa: thanks, tought me something new today :) –  Fredrik Mörk Jul 16 '10 at 19:07

An f-stop is a mechanism for setting the aperture of the lens, or how wide it is opening to let in the light.

There's two parts to it: f and stop. First, the maths.

  • f-number

    An f-number is a number in the form f/2.0 which specifies the size of the aperture opening.

    f refers to the focal length.

    f/2.0 means the diameter of the aperture opening is the focal length divided by 2.0.

    f/4.0 means the diameter of the aperture opening is the focal length divided by 4.0.

    That's why if the number on the right is bigger, the aperture is smaller.

    These both measure effective aperture: that is, in a hypothetical single-element lens, what is the diameter of an equivalent aperture placed right on that lens. In a lens with multiple elements, for engineering reasons, the actual aperture opening may differ in order to match up with this.

  • stop

    It's originally called a "stop" because an old-style aperture ring "stops" at certain settings - that is, it has markings where the ring stops.

    These "stops" are specifically designed such that each "stop" lets either half or double the amount of light in as the stops before and after it.

    The common aperture stops are f/1.4, f/2.0, f/2.8, f/4.0, f/5.6, f/8.0 and so on. The space between two consecutive numbers in this sequence is what is also called a "stop".

    (Note that some aperture rings had half-stop markings in between these too.)

    But wait a minute! You may be wondering why each one of these is the previous one divided by root 2 not 2. Why? Because halving the area of the aperture requires dividing the diameter by root 2. This is because the area of a circle scales with the square of its radius.

    So even though each number is not double or half its neighbours, it still lets in double or half the light of its neighbours.

    Thus, this is why the stops go up in those numbers. Of course, 1.4 isn't exactly root 2. The numbers are simply rounded to only one digit.

    Modern digital cameras don't usually have an aperture ring anymore, and let you set the aperture to any value, or to increment or decrement it by half-stops or third-stops. This is the equivalent to setting an old-style aperture ring to rest in between two whole-stop markers (some rings had detents in half-stops to help this).

Now that you know how f-stops relate to aperture and the amount of light reaching the sensor, you can use the term "stops" as a general term to refer to a doubling or halving of light for any reason.

For example, you may refer to quadrupling the ISO setting as "increasing the ISO by 2 stops".

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