# Gauge (firearms)

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

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

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, same with a 16-gauge, it would take 16 balls of lead the same size as a 16 gauge shotgun's inner diameter of its bore to weigh one 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, called "elephant guns", were intended for use primarily in Africa and Asia for hunting large dangerous 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 the bore is then measured. This is essential information for understanding gauges.[2]

1 Pound / gauge = weight of lead sphere Diameter of bore is then measured
gauge pounds mm inches
0.25 4 67.34 2.651
0.5 2 53.45 2.103
0.75 1+1/3 46.70 1.838
1 1 42.42 1.669
1.5 2/3 37.05 1.459
2 1/2 33.67 1.326
3 1/3 29.41 1.158
4 1/4 26.72 1.052
5 1/5 24.80 0.976
6 1/6 23.35 0.919
6.278 1/6.278 23.00 0.906
7 1/7 22.18 0.873
8 1/8 21.21 0.835
9 1/9 20.39 0.803
10 1/10 19.69 0.775
11 1/11 19.07 0.751
12 1/12 18.53 0.729
13 1/13 18.04 0.710
14 1/14 17.60 0.693
15 1/15 17.21 0.677
16 1/16 16.83 0.663
17 1/17 16.50 0.650
18 1/18 16.19 0.637
19 1/19 15.90 0.626
20 1/20 15.63 0.615
21 1/21 15.37 0.605
22 1/22 15.13 0.596
23 1/23 14.91 0.587
24 1/24 14.70 0.579
25 1/25 14.50 0.571
26 1/26 14.31 0.564
27 1/27 14.12 0.556
28 1/28 13.97 0.550
29 1/29 13.79 0.543
30 1/30 13.64 0.537
31 1/31 13.49 0.531
32 1/32 13.36 0.526
33 1/33 13.20 0.520
34 1/34 13.08 0.515
35 1/35 12.95 0.510
36 1/36 12.85 0.506
37 1/37 12.73 0.501
38 1/38 12.62 0.497
39 1/39 12.50 0.492
40 1/40 12.40 0.488
67.62 1/67.62 10.41 0.410

## Bore sizing

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 backward 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.

## Gauges in use

The six most common shotgun gauges, in descending order of size, are the 10 gauge, 12 gauge, 16 gauge, 20 gauge, 28 gauge, and .410 bore.[3] By far the most popular is the 12 gauge,[3] particularly in the United States.[4] 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 the 28 gauge and the .410 bore. Both the 10 gauge and the 16 gauge, while less common, are still available.[citation needed]

Shotguns and shells exceeding 10 gauge, such as the 8 gauge, 6 gauge, and 4 gauge, are historically important in the United Kingdom and elsewhere in mainland Europe. Today, they are rarely manufactured. Shells are usually black powder paper cartridges, as opposed to the modern use of plastic or wax cartridges and smokeless gunpowder.

The 18, 15, 11, 6, 3, and 2-gauge shells are the rarest of all;[5] 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+916-inch (65 mm) hull is still made in France.[5] 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.[6][7]

### 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 the smaller, 2+34-inch (70 mm), 12-gauge shells as well. However, the 3.5 in (89 mm) 12-gauge shell, with its higher SAAMI pressure rating compared to standard 12-gauge guns, began 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.[8] However, laboratory research indicates that tungsten alloys can actually be quite toxic internally.[9]

### Sizes found in use in the United Kingdom

Legend: left side is the bore size, right side is the case length.

• 4 bore: 4 in (100 mm)
• 6 bore
• 8 bore: 3+14 in (83 mm)
• 10 bore: 2+582+783+12 in (67, 73, 89 mm)
• 12 bore: 1+34, 2, 2+142+122+34, 3, 3+12 in (44, 51, 57, 64, 70, 76, 89 mm)
• 14 bore: 2+12 in (64 mm)
• 16 bore: 2+122+582+34 in (64, 67, 70 mm)
• 20 bore: 2+122+34, 3 in (64, 70, 76 mm)
• 24 bore: 2+12 in (64 mm)
• 28 bore: 2+122+34, 3 in (64, 70, 76 mm)
• 32 bore: 2+12 in (64 mm)
• .410 bore: 2, 2+12, 3 in (51, 64, 76 mm)
• .360 bore: 1+34 in (44 mm)
• 9 mm (No. 3 bore) rimfire [0.5 in], 9 mm (No. 3 bore) long rimfire [1.4 in]
• 7 mm (No. 2 bore) rimfire
• 6 mm (No. 1 bore) short rimfire, 6 mm (No. 1 bore) long rimfire

## Conversion guide

The table below lists various gauge sizes with weights. The bores marked * are found in punt guns, obsolete, or rare weapons only. However, 4 gauge were sometimes found used in blunderbuss guns made for coach defense and protection against piracy. The .410 and 23 mm 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)
Diameter Weight of unalloyed (pure) lead ball
(mm) (in) grams ounces grains
AA* 101.60 4.000 6,225.52 219.6 96,080
* 76.20 3.000 2,626.39 92.64 40,530
0.25* 67.34 2.651 1,814.36 64.000 28,000
0.5* 53.45 2.103 907.18 32.000 14,000
A* 50.80 2.000 778.19 27.45 12,010
0.75* 46.70 1.838 604.80 21.336 9,328
1* 42.42 1.669 453.59 16.000 7,000
* 38.10 1.500 328.3 11.58 5,066
1.5* 37.05 1.459 302.39 10.667 4,667
2* 33.67 1.326 226.80 8.000 3,500
3* 29.41 1.158 151.20 5.333 2,333
4* 26.72 1.052 113.40 4.000 1,750
B* 25.40 1.000 97.27 3.43 1,501
5* 24.80 0.976 90.72 3.200 1,400
6* 23.35 0.919 75.60 2.667 1,166
6.278* 23.00 0.906 72.26 2.549 1,114
7* 22.18 0.873 64.80 2.286 1,000
8* 21.21 0.835 56.70 2.000 875
9* 20.39 0.803 50.40 1.778 778
10 19.69 0.775 45.36 1.600 700
11* 19.07 0.751 41.24 1.454 636
12 18.53 0.729 37.80 1.333 583
13* 18.04 0.710 34.89 1.231 538
14* 17.60 0.693 32.40 1.143 500
15* 17.21 0.677 30.24 1.067 467
16 16.83 0.663 28.35 1.000 438
17* 16.50 0.650 26.68 0.941 412
18* 16.19 0.637 25.20 0.889 389
20 15.63 0.615 22.68 0.800 350
22* 15.13 0.596 20.62 0.728 319
24 14.70 0.579 18.90 0.667 292
26* 14.31 0.564 17.44 0.615 269
28 13.97 0.550 16.20 0.571 250
32 13.36 0.526 14.17 0.500 219
36* 12.85 0.506 12.59 0.444 194
40* 12.40 0.488 11.34 0.400 175
67.62 10.41 0.410 6.71 0.237 104

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; 129.60 g) bullet, or sometimes slightly heavier, rather than using a 4-ounce (110 g) round lead ball. (Round balls give progressively much worse external ballistic performance than conical bullets at ranges greater than about 75 yards or 69 metres) In contrast, a 4-bore express rifle often used a 1,500-grain (3.43 oz; 97.20 g) 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.

## References

1. ^ Barnes, Frank C.; Woodard, W. Todd (2016). Cartridges of the world : a complete and illustrated reference for more than 1500 cartridges (15th ed.). Krause Publications. p. 629. ISBN 978-1440246425. OCLC 934886116.
2. ^ Fourten Shotgun Resources. (n.d.). http://www.fourten.org.uk/shotgunbores.html
3. ^ a b Krause, Angel. "What Shotgun Gauge Should I Use for Hunting?". Outly. Retrieved 27 November 2021.
4. ^ Carter, Greg Lee (2002). Guns in American Society: An Encyclopedia. Santa Barbara, Calif.; Oxford: ABC-CLIO. p. 361. ISBN 978-1-57607-268-4.
5. ^ a b Frank C. Barnes (2009). Layne Simpson (ed.). Cartridges of the World (12th ed.).
6. ^ Clair Rees (March 2000). "Marlin's 'Garden Gun'—Model 25MG". Guns Magazine. Archived from the original on 2008-04-29. Retrieved 2008-05-08.
7. ^ Frank C. Barnes (2003). Stan Skinner (ed.). Cartridges of the World (10th ed.). Krause Publications. ISBN 0-87349-605-1.
8. ^ Randy Wakeman (2007). "Why the 10 Gauge Shotgun Is Obsolete". chuckhawks.com. Archived from the original on 2006-05-13.
9. ^ John Kalinich; et al. (2005). "Embedded weapons-grade tungsten alloy shrapnel rapidly induces metastatic high-grade rhabdomyosarcomas in F344 rats". Environmental Health Perspectives. 113 (6): 729–34. doi:10.1289/ehp.7791. PMC 1257598. PMID 15929896.