Which Eyepiece Gives Which View: Focal Length, Magnification and True Field on Your Telescope
An eyepiece has no magnification of its own. Magnification is telescope focal length divided by eyepiece focal length, so a 9mm gives 72x on a 650mm scope and 167x on a 1500mm one. True field is apparent field divided by magnification, and it is hard-capped by the focuser barrel — 1.25 inches cannot exceed a 27mm field stop no matter which eyepiece you buy.
Two divisions produce every number on this page. Magnification is the telescope's focal length divided by the eyepiece's focal length. True field of view is the eyepiece's apparent field divided by that magnification.
Which means the eyepiece marked 9mm is not a 100x eyepiece. It is 72x on a 650mm scope, 100x on a 900mm one, 133x on a 1200mm one and 167x on a 1500mm one. Four different views from one piece of glass, and the same set of eyepieces produces a completely different ladder on a short refractor than on a long Maksutov.
The grid below runs both divisions for seven common focal lengths against four common telescope focal lengths, at the three apparent fields you can actually buy. The calculator above does the same for any pair you type in.
The grid
Each block assumes a real telescope so the magnification ceiling can be flagged: 650mm is a 130mm f/5 Newtonian (ceiling 260x), 900mm is a 90mm f/10 refractor (ceiling 180x), 1200mm is a 150mm f/8 Newtonian (ceiling 300x), and 1500mm is a 127mm Maksutov (ceiling 254x).
True fields here use apparent field ÷ magnification, which is close enough for planning. The field-stop method in the next section is the accurate one.
Eyepiece Scope focal length Magnification True field at 52° True field at 68° True field at 82° Barrel needed for 82° Best fit 4mm 650mm (130mm f/5) 163x 0.32° 0.42° 0.50° 1.25″ Planets, tight doubles 6mm 650mm (130mm f/5) 108x 0.48° 0.63° 0.76° 1.25″ Planets, lunar detail 9mm 650mm (130mm f/5) 72x 0.72° 0.94° 1.14° 1.25″ Globulars, planetary nebulae 12mm 650mm (130mm f/5) 54x 0.96° 1.26° 1.52° 1.25″ Bright galaxies, whole Moon 17mm 650mm (130mm f/5) 38x 1.37° 1.79° 2.16° 1.25″ (at the limit) M42, larger open clusters 25mm 650mm (130mm f/5) 26x 2.00° 2.62° 3.15° 2″ only M31, Double Cluster, sweeping 32mm 650mm (130mm f/5) 20x 2.56° 3.35° 4.05° 2″ only Widest field this scope can give 4mm 900mm (90mm f/10) 225x 0.23° 0.30° 0.36° 1.25″ OVER CEILING — 225x on 180x max 6mm 900mm (90mm f/10) 150x 0.35° 0.45° 0.55° 1.25″ Planets, at this scope's practical top 9mm 900mm (90mm f/10) 100x 0.52° 0.68° 0.82° 1.25″ Lunar detail, Saturn 12mm 900mm (90mm f/10) 75x 0.69° 0.91° 1.09° 1.25″ Globulars, double stars 17mm 900mm (90mm f/10) 53x 0.98° 1.28° 1.55° 1.25″ (at the limit) Whole Moon with room, M13 25mm 900mm (90mm f/10) 36x 1.44° 1.89° 2.28° 2″ only M42, Pleiades if the focuser allows 32mm 900mm (90mm f/10) 28x 1.85° 2.42° 2.93° 2″ only Widest field, finding power 4mm 1200mm (150mm f/8) 300x 0.17° 0.23° 0.27° 1.25″ At the ceiling exactly — best nights only 6mm 1200mm (150mm f/8) 200x 0.26° 0.34° 0.41° 1.25″ Jupiter, Mars, Cassini Division 9mm 1200mm (150mm f/8) 133x 0.39° 0.51° 0.62° 1.25″ Resolving M13, planetary nebulae 12mm 1200mm (150mm f/8) 100x 0.52° 0.68° 0.82° 1.25″ Galaxies, general workhorse 17mm 1200mm (150mm f/8) 71x 0.74° 0.96° 1.16° 1.25″ (at the limit) M42 core, brighter clusters 25mm 1200mm (150mm f/8) 48x 1.08° 1.42° 1.71° 2″ only Finding, whole Moon, M13 field 32mm 1200mm (150mm f/8) 38x 1.39° 1.81° 2.19° 2″ only Widest available — needs a 2″ focuser 4mm 1500mm (127mm Mak) 375x 0.14° 0.18° 0.22° 1.25″ OVER CEILING — 375x on 254x max 6mm 1500mm (127mm Mak) 250x 0.21° 0.27° 0.33° 1.25″ At the ceiling — planets on steady air 9mm 1500mm (127mm Mak) 167x 0.31° 0.41° 0.49° 1.25″ Jupiter, Saturn, lunar detail 12mm 1500mm (127mm Mak) 125x 0.42° 0.54° 0.66° 1.25″ Globulars, doubles, workhorse 17mm 1500mm (127mm Mak) 88x 0.59° 0.77° 0.93° 1.25″ (at the limit) Brighter deep sky, whole Moon 25mm 1500mm (127mm Mak) 60x 0.87° 1.13° 1.37° 2″ only Finding eyepiece 32mm 1500mm (127mm Mak) 47x 1.11° 1.45° 1.75° 2″ only Widest possible, and it is not wide Find your telescope's focal length, then read the magnification and true field each eyepiece delivers. Rows marked OVER CEILING give magnification the aperture cannot support — skip those focal lengths when buying. Notice what happens at the long end. A 1500mm Maksutov with a 32mm eyepiece still only manages 1.45° at 68° apparent field, and it needs a 2-inch focuser to get there — which most 127mm Maks do not have. That instrument is physically incapable of framing the Pleiades or the Andromeda galaxy. No eyepiece purchase changes it.
And notice the 4mm. On the 900mm and 1500mm scopes it is dead weight. Those two focal lengths appear in boxed sets constantly, which is how a beginner ends up owning an eyepiece their telescope can never use.
Apparent field is what you pay for; the barrel decides what you get
True field has a hard mechanical ceiling that has nothing to do with the eyepiece design. The field stop — the aperture inside the eyepiece that defines the edge of the view — has to physically fit down the barrel. A 1.25-inch barrel tops out around a 27mm field stop. A 2-inch barrel reaches about 46mm.
The accurate true-field formula uses that directly: true field in degrees = 57.3 × field stop in mm ÷ telescope focal length in mm. It beats the apparent-field-divided-by-magnification shortcut because it does not depend on the manufacturer's apparent field claim, which is frequently rounded up.
Run it and the maximum field any telescope can deliver falls out of focal length alone.
Telescope focal length Max true field with 1.25″ (27mm stop) Max true field with 2″ (46mm stop) Fits the full Moon (0.5°)? Fits the Double Cluster (1°)? Fits M31 (3°)? 650mm 2.38° 4.05° Yes, easily Yes Only with a 2″ focuser, and barely 750mm 2.06° 3.51° Yes, easily Yes Only with a 2″ focuser 900mm 1.72° 2.93° Yes Yes No 1000mm 1.55° 2.64° Yes Yes No 1200mm 1.29° 2.20° Yes Yes, tightly No 1500mm 1.03° 1.76° Yes Tight in 1.25″, fine in 2″ No 2000mm 0.77° 1.32° Yes, with little margin No in 1.25″, tightly in 2″ No Check this before buying a wide-field eyepiece. If the row says your scope cannot frame the object, the eyepiece will not fix it — the focuser is the limit. This is also why a 32mm eyepiece with a 68° apparent field does not exist in 1.25 inches. It would need a 38mm field stop, and the barrel is 31.75mm across. The widest genuine 1.25-inch options land around 24mm at 68°, or 32mm at roughly 50°. Anything claiming more in that barrel is either measuring apparent field generously or vignetting the edge.
The eyepieces in a boxed set your scope can never use
Kits are assembled to a price and a page count, not to a telescope. Three failure modes recur.
Focal lengths below the aperture's ceiling. On any scope under 100mm, a 4mm eyepiece is usually past the useful limit, as the grid shows for the 90mm f/10. On a 60mm it is hopeless.
Duplicated steps. A set containing 6, 9, 12, 17, 25 and 32mm gives magnifications on a 1200mm scope of 200x, 133x, 100x, 71x, 48x and 38x. The gaps between 48x and 38x, and between 71x and 48x, are barely perceptible in use. Three well-spaced eyepieces beat six clustered ones.
A 2x or 3x Barlow that duplicates half the set. Barlow the 12mm at 2x and you have recreated the 6mm, with two extra air-glass surfaces in the path. That is fine if you bought the Barlow instead of the 6mm. It is pure redundancy if you bought both.
- Check every focal length in a set against your aperture's ceiling before buying — 2x magnification per millimetre of aperture is the line
- Aim for roughly 1.5x steps between magnifications; anything tighter is indistinguishable at the eyepiece
- A 32mm in a 1.25-inch focuser is close to pointless on a long scope — the field stop caps you before the focal length does
- Eye relief under about 12mm is uncomfortable for spectacle wearers, and short simple eyepieces are usually the worst offenders
- On fast optics (f/5 and below), cheap eyepiece designs show noticeable edge aberration; the money is better spent on two good ones than six mediocre ones
Angular sizes, so you can check what fits
Framing is the half of eyepiece choice that magnification tables ignore. An object needs roughly twice its own diameter of field to look composed rather than crammed against the edge.
Here are the targets people most often try to frame, with what they actually subtend.
Target Apparent size True field to frame it comfortably Magnification band that suits it Eyepiece on a 1200mm scope Full Moon 0.5° 1.0° 40-100x 17mm at 68° gives 0.96° — near perfect Jupiter with moons 45″ disc, moons out to ~10′ 0.5° 100-250x 6-9mm Saturn with rings 45″ ring span 0.3° 150-250x 6mm M42 Orion Nebula About 1° at its full extent 1.5-2° 40-80x 25mm at 68°, and it will still be tight M31 Andromeda 3° long axis 4°+ 20-40x Will not fit — needs a short focal length scope M13 globular 20′ (0.33°) 0.7° 120-250x 9-12mm M45 Pleiades 2° 3° 15-30x Will not fit at 1200mm Double Cluster 1° for the pair 1.5-2° 30-60x 25mm at 68° gives 1.42° — just fits Veil Nebula 3° overall 3-4° 20-40x Will not fit; observe the arcs individually M57 Ring Nebula 1.4′ 0.3° or less 150-250x 6-9mm Compare the third column against the maximum-true-field table above. Where your scope's ceiling is smaller than the field required, that object is out of reach for framing at any eyepiece. Barlows, used honestly
A Barlow multiplies magnification and divides true field by the same factor. A 2x Barlow with a 12mm on a 1200mm scope gives 200x and the field of a 6mm — identical arithmetic to owning a 6mm.
The genuine argument for one: it preserves the longer eyepiece's eye relief. A 6mm simple eyepiece has punishing eye relief; a 12mm behind a 2x Barlow gives the same magnification with the 12mm's comfort. For spectacle wearers that is decisive.
The genuine argument against: every extra glass surface costs a little transmission and adds a little scatter. On a well-coated modern Barlow the loss is small and mostly theoretical. On a plastic-bodied 3x that came free in a kit, it is visible as soft, low-contrast images, and that Barlow is the reason many beginners conclude their telescope is bad.
Skip 3x Barlows entirely unless you have a specific reason. They almost always push past the aperture ceiling, which is precisely how the 525x box claims get assembled.
A three-eyepiece kit that actually covers a telescope
Work backwards from the aperture ceiling, then place three magnifications roughly a factor of two apart.
For a 150mm f/8 (1200mm, ceiling 300x): a 25mm for finding and wide fields at 48x, a 12mm as the workhorse at 100x, and a 6mm for planets at 200x. Add a 4mm later if the site regularly gives steady air.
For a 130mm f/5 (650mm, ceiling 260x): a 25mm at 26x, a 12mm at 54x and a 6mm at 108x, with room to add a 4mm at 163x. The fast focal ratio makes eyepiece quality matter more here — a mediocre design at f/5 shows bloated stars across the outer third of the field.
For a 127mm Maksutov (1500mm, ceiling 254x): a 25mm at 60x is your widest realistic view, a 12mm at 125x is the workhorse, a 6mm at 250x is the ceiling. Do not buy the 4mm.
Two habits pay for themselves. Buy the widest apparent field you can afford at the long end, where framing matters most, and buy comfort over apparent field at the short end, where you will be at the eyepiece for twenty minutes chasing a moment of steady seeing.
Every figure on this page is reproducible with two divisions and a field-stop lookup. Run your own focal length and aperture through the calculator before ordering anything — the arithmetic will tell you which half of a boxed set you are about to waste money on.