# Gauge (firearms)

The gauge (or commonly bore in British English) of a firearm is a unit of measurement used to express the inner diameter (bore diameter) of the barrel.

Gauge
From left to right; a .45 ACP, a .410 bore shotshell, a 20 gauge shotshell, and a 12 gauge shotshell
TypeShotgun
Place of originVarious

Gauge is determined from the weight of a solid sphere of lead that will fit the bore of the firearm and is expressed as the multiplicative inverse of the sphere's weight as a fraction of a pound, e.g., a one-twelfth pound lead ball fits a 12-gauge bore. Thus there are twelve 12-gauge balls per pound, etc.[1] The term is related to the measurement of cannon, which were also measured by the weight of their iron round shot; an 8-pounder would fire an 8 lb (3.6 kg) ball.

Gauge is commonly used today in reference to shotguns, though historically it was also used in large double rifles, which were made in sizes up to 2 bore during their heyday in the 1880s, being originally loaded with black powder cartridges. These very large rifles, sometimes called "elephant guns", were intended for use in Africa and Asia for hunting game.

Gauge is abbreviated "ga.", "ga", or "G".

## Calculating gauge

An n-gauge diameter means that a ball of lead (density 11.34 g/cm3 or 0.4097 lb/in3) with that diameter has a mass equal to 1/n part of the mass of the international avoirdupois pound (approx. 454 grams), that is, that n such lead balls could be cast from a pound weight of lead. Therefore, an n-gauge shotgun or n-bore rifle has a bore diameter (in inches) of approximately

${\displaystyle d_{n}=2{\sqrt[{3}]{{\frac {3}{4\pi }}{\frac {1\mathrm {~lb} /n}{0.4097\mathrm {~lb/in^{3}} }}}}}$

Explanation:

• Divide 1 pound by n to find the mass of each one of the balls
• Divide it by 0.4097 lb/in3 (density of lead) to find the volume of each ball
• Multiply it by 3/4 and divide it by pi, then find its cube root (rearranged from the volume of a sphere equation) to find the radius of each ball
• Multiply it by 2 to change from radius to diameter

This simplifies to the following formula for the internal diameter of the barrel of an n-gauge shotgun:

${\displaystyle d_{n}=1.67/{\sqrt[{3}]{n}}}$ (in inches), or ${\displaystyle d_{n}=42.4/{\sqrt[{3}]{n}}}$ (in millimeters).

Likewise, given the diameter in inches, the gauge is

${\displaystyle n=4.66/d_{n}^{3}}$

The gauge of firearms is determined by. 1 pound / gauge = weight of lead sphere. Caliber of lead sphere is then measured. This is essential information for understanding gauges.

1 Pound / gauge = weight of lead sphereCaliber of lead sphere is then measured
gaugepoundsmminches
0.25467.342.651
0.5253.452.103
0.751+1/346.701.838
1142.421.669
1.52/337.051.459
21/233.671.326
31/329.411.158
41/426.721.052
51/524.800.976
61/623.350.919
6.2781/6.27823.000.906
71/722.180.873
81/821.210.835
91/920.390.803
101/1019.690.775
111/1119.070.751
121/1218.530.729
131/1318.040.710
141/1417.600.693
151/1517.210.677
161/1616.830.663
171/1716.500.650
181/1816.190.637
201/2015.630.615
221/2215.130.596
241/2414.700.579
261/2614.310.564
281/2813.970.550
321/3213.360.526
361/3612.850.506
401/4012.400.488
67.621/67.6210.410.410

## Gauges in use

Since shotguns were not originally intended to fire solid projectiles, but rather a compressible mass of shot, the actual diameter of the bore can vary. The fact that most shotgun bores are not cylindrical also causes deviations from the ideal bore diameter.

The chamber of the gun is larger, to accommodate the thickness of the shotshell walls, and a "forcing cone" in front of the chamber reduces the diameter down to the bore diameter. The forcing cone can be as short as a fraction of an inch, or as long as a few inches on some guns. At the muzzle end of the barrel, the choke can constrict the bore even further, so measuring the bore diameter of a shotgun is not a simple process, as it must be done away from either end.

Shotgun bores are commonly "overbored" or "backbored", meaning that most of the bore (from the forcing cone to the choke) is slightly larger than the value given by the formula. This is claimed to reduce felt recoil and improve patterning. The recoil reduction is due to the larger bore producing a slower acceleration of the shot, and the patterning improvements are due to the larger muzzle diameter for the same choke constriction, which results in less shot deformation. A 12-gauge shotgun, nominally 18.5 mm (0.73 in), can range from a tight 18 mm (0.71 in) to an extreme overbore of 20 mm (0.79 in). Some also claim an increased velocity with the overbored barrels, up to 15 m/s (49 ft/s), which is due to the larger swept volume of the overbored barrel. Once only found in expensive custom shotguns, overbored barrels are now becoming common in mass-marketed guns. Aftermarket backboring is also commonly done to reduce the weight of the barrel, and move the center of mass backwards for a better balance. Factory overbored barrels generally are made with a larger outside diameter, and will not have this reduction in weight—though the factory barrels will be tougher, since they have a normal barrel wall thickness.

Firing slugs from overbored barrels can result in very inconsistent accuracy, as the slug may be incapable of obturating to fill the oversized bore.

## Sizes in use

The most common size is 12 gauge,[2] with up to 50% of the overall shotgun market in the United States. The 20 gauge shotgun is the next most popular size being favored by shooters uncomfortable with the weight and recoil of a 12 gauge gun, and is popular for upland game hunting. The next most popular sizes are 28 gauge and .410 bore. Both the 10 gauge and 16 gauge, while less commonplace, are still available in the United States.

Shotguns and shells exceeding 10 gauge, such as the 8 and 4 gauge, are rather rarely manufactured and only a few makers of the otherwise large market of shotgun, rifle and ammo makers across the United States still produce them. Shells are usually black powder paper cartridges as opposed to the plastic or wax cartridge and smokeless powder of today.

The 11, 15, 18, 2, and 3 gauge shells are rarest of all;[3] owners of these types of rare shotguns will usually have their ammunition custom loaded by a specialist in rare and custom bores. The 14 gauge has not been loaded in the United States since the early 1900s, although the 2+9/16 inch hull is still made in France.[3] The very small 24 and 32 gauges are still produced and used in some European and South American countries. Punt guns are rarely encountered.

Also seen in limited numbers are smoothbore firearms in calibers smaller than .360 such as .22 Long Rifle (UK No.1 bore) and 9mm Flobert rimfire (UK No.3 bore), designed for short range pest control and garden guns. The No.2 bore (7 mm) has long been obsolete. All three of these rimfires are available in shot and BB-cap.[4][5]

### Gauge and shot type

The 10 gauge narrowly escaped obsolescence when steel and other nontoxic shot became required for waterfowl hunting, since the larger shell could hold the much larger sizes of low-density steel shot needed to reach the ranges necessary for waterfowl hunting. The move to steel shot reduced the use of 16 and 20 gauges for waterfowl hunting, and smaller 2¾″ (70mm) 12 gauge shells as well. However, the advent of the 3.5 in (89 mm) 12 gauge shell, with its higher SAAMI pressure rating compared to standard 12 gauge guns, begin to approach the performance of the 10 gauge loads. Newer nontoxic shots, such as bismuth and tungsten-nickel-iron alloys, and even tungsten-polymer blends, regain much or all of the performance loss, but are much more expensive than steel or lead shot.[6] However, laboratory research indicates that tungsten alloys can actually be quite toxic internally.[7]

### Sizes found in the UK

4 bore 4" (100mm)
8 bore 3¼" (83mm)
10 bore 2⅝" (67mm), 2⅞" (73mm), 3½" (89mm)
12 bore 1¾" (45mm), 2" (51mm), 2¼" (57mm), 2½" (63mm), 2¾" (70mm), 3" (76mm), 3½" (89mm)
14 bore 2½" (63mm)
16 bore 2½" (63mm), 2¾" (70mm)
20 bore 2½" (63mm), 2¾" (70mm), 3" (76mm)
24 bore 2½" (63mm)
28 bore 2½" (63mm), 2¾" (70mm)
32 bore 2½" (63mm)
.410 bore 2" (51mm), 2½" (63mm), 3" (76mm)
.360 bore 1¾" (9 x 45mm)
9mm (No.3 bore) rimfire [0.5"], 9mm (No.3 bore) long rimfire [1.4"]
7mm (No.2 bore) rimfire
6mm (No.1 bore) short rimfire, 6mm (No.1 bore) long rimfire

## Conversion guide

The below table lists various gauge sizes with weights. The bores marked * are found in punt guns and rare weapons only. However, 4 gauge were sometimes found used in blunderbuss guns made for coach defense and protection against piracy. The .410 bore and 23mm caliber are exceptions; they are actual bore sizes, not gauges. If the .410 and 23 mm were measured traditionally, they would be 67.62 gauge and 6.278 gauge, respectively.

Gauge
(bore)
DiameterWeight of unalloyed (pure) lead ball
(mm)(in)gramsouncesgrains
AA*101.604.0006225.52219.696,080
*76.203.0002626.3992.6440,530
0.25*67.342.6511814.3664.00028,000
0.5*53.452.103907.1832.00014,000
A*50.802.000778.1927.4512,010
0.75*46.701.838604.8021.3369328
1*42.421.669453.5916.0007000
*38.101.500328.311.585066
1.5*37.051.459302.3910.6674667
2*33.671.326226.808.0003500
3*29.411.158151.205.3332333
426.721.052113.404.0001750
B*25.401.00097.273.431501
5*24.800.97690.723.2001400
6*23.350.91975.602.6671166
6.27823.000.90672.262.5491114
7*22.180.87364.802.2861000
821.210.83556.702.000875
9*20.390.80350.401.778778
1019.690.77545.361.600700
11*19.070.75141.241.454636
1218.530.72937.801.333583
13*18.040.71034.891.231538
1417.600.69332.401.143500
15*17.210.67730.241.067467
1616.830.66328.351.000438
17*16.500.65026.680.941412
18*16.190.63725.200.889389
2015.630.61522.680.800350
22*15.130.59620.620.728319
2414.700.57918.900.667292
26*14.310.56417.440.615269
2813.970.55016.200.571250
3213.360.52614.170.500219
3612.850.50612.590.444194
4012.400.48811.340.400175
67.6210.410.4106.710.237104

Note: Use of this table for estimating bullet masses for historical large-bore rifles is limited, as this table assumes the use of round ball, rather than conical bullets; for example, a typical 4 bore rifle from circa 1880 used a 2,000-grain (4.57 oz) bullet, or sometimes slightly heavier, rather than using a 4-ounce round lead ball. (Round balls give progressively much worse external ballistic performance than conical bullets at ranges greater than about 75 yards.) In contrast, a 4-bore express rifle often used a 1,500-grain (3.43 oz) bullet wrapped in paper to keep lead buildup to a minimum in the barrel. In either case, assuming a 4-ounce mass for a 4-bore rifle bullet from this table would be inaccurate, although indicative.