Ted YapoYou know you want to make some air-line coax for an impedance reference from brass hobby tubing. But, what sizes to use? I threw together a quick python script to find the characteristic impedance and cutoff frequencies for all the combinations.
The script uses all the available sizes (metric and inch) of K&S brass tubing. Some sizes are also available in copper, and any of them could be silver plated, although this probably isn't necessary for short sections.
I haven't built any coax this way yet, but now I know which sizes to select.
Calculations
The characteristic impedance of coax is given by:
where D is the inner diameter of the outer conductor, and d is the outer diameter of the inner conductor. The diameter units cancel.
Cutoff Frequency
At lower frequencies, waves travel in coax in the so-called transverse electromagnetic mode (TEM), where the electric and magnetic fields are both perpendicular to the direction of travel (i.e. the coax). Above a certain frequency, called the cutoff, higher-order modes can also exist on the cable. These propagate at different speeds, and generally ruin your day.
The cutoff frequency for coax is given by:
with D and d in inches.
In both cases, the code uses Er = 1.00058986, the value for air.
Code
The python code calculates the characteristic impedance and cutoff frequency for all the combinations of K&R tubing sizes:
#!/usr/bin/env python3
import numpy as np
from fractions import Fraction
# (name, OD, ID) inches
US_idx = np.linspace(1, 21, 21)
US_tubing = map(lambda x: (str(Fraction(int(x), 32))+'"',
x/32, x/32 - 0.028), US_idx)
mm_idx1 = [1, 1.5, 2, 3, 3.5, 4, 4.5, 5]
mm_idx2 = [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13]
mm_tubing1 = map(lambda x: (str(x) + '/0.225 mm', x/25.4, (x-2*0.225)/25.4), mm_idx1)
mm_tubing2 = map(lambda x: (str(x) + '/0.45 mm', x/25.4, (x-2*0.45)/25.4), mm_idx2)
tubing = list(US_tubing) + list( mm_tubing1) + list(mm_tubing2)
Er = 1.00058986
table = []
print(' Inner Outer Cutoff Z0')
print(' (GHz) (Ohm)')
print('--------------------------------------------')
for outer in tubing:
for inner in tubing:
if inner[1] >= outer[2]:
continue
Z0 = 138 * np.log10(outer[2]/inner[1])/np.sqrt(Er)
fc = 7.51393 / ((inner[1] + outer[2])*np.sqrt(Er))
table.append((inner[0], outer[0], fc, Z0))
for i in sorted(table, key=lambda x: x[3]):
print('{:>12s} {:>12s} {:5.1f} {:6.2f}'.format(i[0], i[1], i[2], i[3]))
Table
Here are the results. For the really low-Z combinations, although the tubing would fit based on the nominal sizes, it would probably short out due to manufacturing tolerances.
Inner Outer Cutoff Z0
(GHz) (Ohm)
--------------------------------------------
8/0.45 mm 11/32" 11.9 0.15
5/8" 21/32" 6.0 0.31
19/32" 5/8" 6.3 0.33
9/16" 19/32" 6.7 0.35
17/32" 9/16" 7.0 0.37
1/2" 17/32" 7.5 0.39
15/32" 1/2" 8.0 0.41
7/16" 15/32" 8.6 0.44
13/32" 7/16" 9.2 0.48
12/0.45 mm 13/0.45 mm 7.9 0.50
3/8" 13/32" 10.0 0.52
11/0.45 mm 12/0.45 mm 8.6 0.54
11/32" 3/8" 10.9 0.56
10/0.45 mm 11/0.45 mm 9.5 0.60
5/16" 11/32" 12.0 0.62
4.5/0.225 mm 5/0.225 mm 21.1 0.66
9/0.45 mm 10/0.45 mm 10.5 0.66
9/32" 5/16" 13.3 0.69
4/0.225 mm 4.5/0.225 mm 23.7 0.74
4/0.45 mm 4.5/0.225 mm 23.7 0.74
8/0.45 mm 9/0.45 mm 11.9 0.74
4/0.225 mm 3/16" 23.7 0.76
4/0.45 mm 3/16" 23.7 0.76
1/4" 9/32" 14.9 0.77
3.5/0.225 mm 4/0.225 mm 27.1 0.85
7/0.45 mm 8/0.45 mm 13.5 0.85
7/32" 1/4" 17.0 0.88
15/32" 13/0.45 mm 7.9 0.97
3/0.225 mm 3.5/0.225 mm 31.5 0.99
3/0.45 mm 3.5/0.225 mm 31.5 0.99
6/0.45 mm 7/0.45 mm 15.8 0.99
3/16" 7/32" 19.9 1.03
11/0.45 mm 15/32" 8.6 1.05
5/0.225 mm 6/0.45 mm 18.9 1.19
5/0.45 mm 6/0.45 mm 18.9 1.19
5/32" 4.5/0.225 mm 23.8 1.21
5/16" 9/0.45 mm 11.9 1.21
5/32" 3/16" 23.8 1.23
4/0.225 mm 5/0.45 mm 23.6 1.48
4/0.45 mm 5/0.45 mm 23.6 1.48
1/8" 5/32" 29.7 1.54
7/0.45 mm 5/16" 13.4 1.91
5/32" 5/0.45 mm 23.6 1.95
1.5/0.225 mm 2/0.225 mm 62.6 1.96
3/0.225 mm 4/0.45 mm 31.3 1.96
3/0.45 mm 4/0.45 mm 31.3 1.96
3/32" 1/8" 39.4 2.04
10/0.45 mm 7/16" 9.4 2.36
11/32" 10/0.45 mm 10.7 2.48
13/0.45 mm 9/16" 7.2 2.60
1/0.225 mm 1.5/0.225 mm 93.1 2.92
2/0.225 mm 3/0.45 mm 46.5 2.92
2/0.45 mm 3/0.45 mm 46.5 2.92
1/16" 3/32" 58.6 3.04
19/32" 21/32" 6.1 3.38
3/8" 11/0.45 mm 9.7 3.51
9/16" 5/8" 6.5 3.57
17/32" 19/32" 6.8 3.77
12/0.45 mm 17/32" 7.7 3.79
9/0.45 mm 13/32" 10.3 3.91
1/2" 9/16" 7.3 4.00
3/32" 3/0.225 mm 38.7 4.10
3/16" 6/0.45 mm 19.3 4.10
6/0.45 mm 9/32" 15.3 4.17
15/32" 17/32" 7.7 4.26
13/32" 12/0.45 mm 8.9 4.37
4.5/0.225 mm 7/32" 20.4 4.43
7/16" 1/2" 8.3 4.55
13/32" 15/32" 8.9 4.88
3/0.225 mm 5/32" 30.5 4.93
3/0.45 mm 5/32" 30.5 4.93
7/16" 13/0.45 mm 8.2 5.10
11/0.45 mm 1/2" 8.3 5.16
3/8" 7/16" 9.6 5.27
7/32" 7/0.45 mm 16.4 5.59
11/0.45 mm 13/0.45 mm 8.3 5.71
1/0.225 mm 2/0.45 mm 90.9 5.71
11/32" 13/32" 10.4 5.73
8/0.45 mm 3/8" 11.3 5.80
1/32" 1/16" 114.2 5.93
13/0.45 mm 19/32" 7.0 6.00
10/0.45 mm 12/0.45 mm 9.0 6.25
5/16" 3/8" 11.4 6.27
1.5/0.225 mm 3/32" 60.2 6.43
9/16" 21/32" 6.3 6.62
1/8" 4/0.225 mm 28.4 6.69
1/4" 8/0.45 mm 14.2 6.69
10/0.45 mm 15/32" 9.0 6.76
9/0.45 mm 11/0.45 mm 10.0 6.91
9/32" 11/32" 12.6 6.93
17/32" 5/8" 6.7 6.99
5/0.225 mm 1/4" 17.9 7.20
5/0.45 mm 1/4" 17.9 7.20
12/0.45 mm 9/16" 7.5 7.39
1/2" 19/32" 7.0 7.40
4.5/0.225 mm 6/0.45 mm 19.9 7.50
9/32" 9/0.45 mm 12.5 7.53
4/0.225 mm 5/0.225 mm 22.3 7.72
4/0.45 mm 5/0.225 mm 22.3 7.72
8/0.45 mm 10/0.45 mm 11.2 7.72
1/4" 5/16" 14.1 7.75
15/32" 9/16" 7.5 7.86
7/0.45 mm 11/32" 12.7 8.15
5/32" 5/0.225 mm 22.4 8.19
5/16" 10/0.45 mm 11.2 8.19
7/16" 17/32" 8.0 8.39
9/0.45 mm 7/16" 9.8 8.67
11/32" 11/0.45 mm 10.1 8.73
3.5/0.225 mm 4.5/0.225 mm 25.3 8.74
7/0.45 mm 9/0.45 mm 12.6 8.74
3.5/0.225 mm 3/16" 25.3 8.76
7/32" 9/32" 15.9 8.77
13/32" 1/2" 8.6 8.99
11/0.45 mm 17/32" 8.0 9.00
3/8" 12/0.45 mm 9.3 9.17
13/0.45 mm 5/8" 6.8 9.22
3.5/0.225 mm 5/0.45 mm 25.1 9.48
13/32" 13/0.45 mm 8.5 9.54
3/8" 15/32" 9.2 9.68
17/32" 21/32" 6.5 10.05
3/0.225 mm 4/0.225 mm 29.1 10.09
3/0.45 mm 4/0.225 mm 29.1 10.09
6/0.45 mm 8/0.45 mm 14.6 10.09
3/16" 1/4" 18.3 10.12
11/32" 7/16" 10.0 10.49
1/2" 5/8" 6.8 10.62
12/0.45 mm 19/32" 7.2 10.80
10/0.45 mm 1/2" 8.7 10.87
8/0.45 mm 13/32" 10.8 10.97
6/0.45 mm 5/16" 14.4 11.14
15/32" 19/32" 7.3 11.27
10/0.45 mm 13/0.45 mm 8.6 11.42
5/16" 13/32" 10.9 11.44
4/0.225 mm 7/32" 21.6 11.48
4/0.45 mm 7/32" 21.6 11.48
5/0.225 mm 7/0.45 mm 17.2 11.91
5/0.45 mm 7/0.45 mm 17.2 11.91
5/32" 7/32" 21.6 11.95
7/16" 9/16" 7.7 12.00
13/0.45 mm 21/32" 6.6 12.28
2/0.225 mm 1/8" 42.7 12.50
2/0.45 mm 1/8" 42.7 12.50
9/0.45 mm 12/0.45 mm 9.5 12.57
9/32" 3/8" 12.0 12.59
11/0.45 mm 9/16" 7.8 12.61
13/32" 17/32" 8.3 12.83
9/0.45 mm 15/32" 9.4 13.08
4.5/0.225 mm 1/4" 18.8 13.52
1/2" 21/32" 6.7 13.68
3/8" 1/2" 8.9 13.78
7/0.45 mm 3/8" 12.1 13.80
8/0.45 mm 11/0.45 mm 10.5 13.97
1/4" 11/32" 13.3 13.99
12/0.45 mm 5/8" 7.0 14.02
3/8" 13/0.45 mm 8.8 14.34
11/32" 12/0.45 mm 9.6 14.38
5/16" 11/0.45 mm 10.6 14.44
15/32" 5/8" 7.0 14.49
9/32" 10/0.45 mm 11.7 14.50
2/0.225 mm 3/0.225 mm 41.9 14.56
2/0.45 mm 3/0.225 mm 41.9 14.56
4/0.225 mm 6/0.45 mm 21.0 14.56
4/0.45 mm 6/0.45 mm 21.0 14.56
1/8" 4.5/0.225 mm 26.4 14.58
1/4" 9/0.45 mm 13.2 14.58
1/8" 3/16" 26.4 14.60
7/32" 8/0.45 mm 15.1 14.69
10/0.45 mm 17/32" 8.4 14.71
3/32" 3.5/0.225 mm 35.1 14.83
3/16" 7/0.45 mm 17.6 14.83
11/32" 15/32" 9.6 14.89
5/32" 6/0.45 mm 21.0 15.03
5/0.225 mm 9/32" 16.7 15.09
5/0.45 mm 9/32" 16.7 15.09
1/8" 5/0.45 mm 26.2 15.32
7/16" 19/32" 7.5 15.40
3.5/0.225 mm 5/0.225 mm 23.7 15.72
7/0.45 mm 10/0.45 mm 11.9 15.72
8/0.45 mm 7/16" 10.4 15.73
7/32" 5/16" 14.9 15.75
3/32" 4/0.45 mm 34.8 15.80
11/0.45 mm 19/32" 7.5 16.01
5/16" 7/16" 10.4 16.20
13/32" 9/16" 8.0 16.44
1/32" 1.5/0.225 mm 103.5 16.76
1/16" 3/0.45 mm 51.7 16.76
12/0.45 mm 21/32" 6.8 17.08
9/0.45 mm 1/2" 9.1 17.18
6/0.45 mm 11/32" 13.6 17.39
15/32" 21/32" 6.8 17.55
3/8" 17/32" 8.6 17.62
9/0.45 mm 13/0.45 mm 9.0 17.73
9/32" 13/32" 11.4 17.75
3/0.225 mm 4.5/0.225 mm 27.1 17.98
3/0.45 mm 4.5/0.225 mm 27.1 17.98
6/0.45 mm 9/0.45 mm 13.5 17.98
3/0.225 mm 3/16" 27.1 18.00
3/0.45 mm 3/16" 27.1 18.00
3/16" 9/32" 17.0 18.01
4.5/0.225 mm 7/0.45 mm 18.0 18.23
10/0.45 mm 9/16" 8.1 18.32
7/16" 5/8" 7.3 18.62
3/0.225 mm 5/0.45 mm 26.9 18.72
3/0.45 mm 5/0.45 mm 26.9 18.72
3/32" 5/32" 33.8 18.77
7/0.45 mm 13/32" 11.5 18.97
11/32" 1/2" 9.2 19.00
11/0.45 mm 5/8" 7.3 19.23
3.5/0.225 mm 7/32" 22.9 19.48
11/32" 13/0.45 mm 9.2 19.55
1/32" 2/0.45 mm 100.8 19.55
8/0.45 mm 12/0.45 mm 10.0 19.62
1/4" 3/8" 12.6 19.64
13/32" 19/32" 7.7 19.84
5/16" 12/0.45 mm 10.0 20.09
8/0.45 mm 15/32" 9.9 20.13
1.5/0.225 mm 3/0.45 mm 53.0 20.16
4/0.225 mm 1/4" 19.8 20.57
4/0.45 mm 1/4" 19.8 20.57
5/16" 15/32" 10.0 20.60
9/32" 11/0.45 mm 11.1 20.75
5/0.225 mm 8/0.45 mm 15.8 21.01
5/0.45 mm 8/0.45 mm 15.8 21.01
9/0.45 mm 17/32" 8.8 21.02
5/32" 1/4" 19.9 21.04
3/8" 9/16" 8.3 21.23
4.5/0.225 mm 9/32" 17.5 21.41
1/8" 5/0.225 mm 24.7 21.56
1/4" 10/0.45 mm 12.3 21.56
7/16" 21/32" 7.0 21.68
10/0.45 mm 19/32" 7.8 21.72
7/0.45 mm 11/0.45 mm 11.2 21.97
7/32" 11/32" 14.1 21.99
5/0.225 mm 5/16" 15.6 22.07
5/0.45 mm 5/16" 15.6 22.07
11/0.45 mm 21/32" 7.1 22.29
9/32" 7/16" 10.9 22.51
3.5/0.225 mm 6/0.45 mm 22.2 22.56
7/32" 9/0.45 mm 14.0 22.58
11/32" 17/32" 8.9 22.84
6/0.45 mm 3/8" 12.9 23.04
13/32" 5/8" 7.5 23.06
7/0.45 mm 7/16" 11.0 23.73
3/32" 4/0.225 mm 32.2 23.93
3/16" 8/0.45 mm 16.1 23.93
8/0.45 mm 1/2" 9.5 24.24
9/0.45 mm 9/16" 8.5 24.63
3/8" 19/32" 8.0 24.64
5/16" 1/2" 9.6 24.71
8/0.45 mm 13/0.45 mm 9.5 24.79
1/4" 13/32" 12.0 24.81
10/0.45 mm 5/8" 7.6 24.94
3/0.225 mm 5/0.225 mm 25.3 24.96
3/0.45 mm 5/0.225 mm 25.3 24.96
6/0.45 mm 10/0.45 mm 12.6 24.96
3/16" 5/16" 15.9 24.98
5/16" 13/0.45 mm 9.5 25.26
2/0.225 mm 3.5/0.225 mm 37.8 25.28
2/0.45 mm 3.5/0.225 mm 37.8 25.28
4/0.225 mm 7/0.45 mm 18.9 25.28
4/0.45 mm 7/0.45 mm 18.9 25.28
1/8" 7/32" 23.8 25.32
5/32" 7/0.45 mm 18.9 25.75
13/32" 21/32" 7.3 26.12
1/0.225 mm 2/0.225 mm 74.8 26.26
2/0.225 mm 4/0.45 mm 37.4 26.26
2/0.45 mm 4/0.45 mm 37.4 26.26
1/16" 1/8" 47.1 26.34
9/32" 12/0.45 mm 10.5 26.40
11/32" 9/16" 8.6 26.45
9/32" 15/32" 10.4 26.92
4.5/0.225 mm 8/0.45 mm 16.4 27.32
7/0.45 mm 12/0.45 mm 10.5 27.62
7/32" 3/8" 13.3 27.64
1/4" 11/0.45 mm 11.6 27.81
3/8" 5/8" 7.7 27.86
10/0.45 mm 21/32" 7.4 28.00
9/0.45 mm 19/32" 8.2 28.04
8/0.45 mm 17/32" 9.2 28.08
7/0.45 mm 15/32" 10.5 28.13
6/0.45 mm 13/32" 12.2 28.21
5/0.225 mm 11/32" 14.7 28.31
5/0.45 mm 11/32" 14.7 28.31
4.5/0.225 mm 5/16" 16.3 28.38
1/16" 3/0.225 mm 46.1 28.40
1/8" 6/0.45 mm 23.1 28.40
4/0.225 mm 9/32" 18.3 28.46
4/0.45 mm 9/32" 18.3 28.46
5/16" 17/32" 9.2 28.55
3.5/0.225 mm 1/4" 20.9 28.57
3/0.225 mm 7/32" 24.3 28.72
3/0.45 mm 7/32" 24.3 28.72
5/0.225 mm 9/0.45 mm 14.6 28.90
5/0.45 mm 9/0.45 mm 14.6 28.90
5/32" 9/32" 18.3 28.93
2/0.225 mm 5/32" 36.3 29.23
2/0.45 mm 5/32" 36.3 29.23
7/32" 10/0.45 mm 13.0 29.56
1/4" 7/16" 11.4 29.57
1.5/0.225 mm 1/8" 48.1 29.73
11/32" 19/32" 8.3 29.85
1/0.225 mm 3/32" 71.5 30.73
3/8" 21/32" 7.5 30.92
9/32" 1/2" 10.0 31.02
6/0.45 mm 11/0.45 mm 11.9 31.20
3/16" 11/32" 14.9 31.23
9/0.45 mm 5/8" 7.9 31.26
9/32" 13/0.45 mm 9.9 31.57
8/0.45 mm 9/16" 8.8 31.69
1.5/0.225 mm 3/0.225 mm 47.1 31.79
3/0.225 mm 6/0.45 mm 23.6 31.79
3/0.45 mm 6/0.45 mm 23.6 31.79
3/32" 4.5/0.225 mm 29.7 31.82
3/16" 9/0.45 mm 14.8 31.82
3/32" 3/16" 29.7 31.84
5/16" 9/16" 8.9 32.16
7/0.45 mm 1/2" 10.0 32.24
3/32" 5/0.45 mm 29.4 32.56
7/0.45 mm 13/0.45 mm 10.0 32.79
7/32" 13/32" 12.6 32.81
6/0.45 mm 7/16" 11.6 32.96
11/32" 5/8" 8.0 33.07
3.5/0.225 mm 7/0.45 mm 19.9 33.28
1/4" 12/0.45 mm 10.9 33.46
5/0.225 mm 3/8" 13.8 33.96
5/0.45 mm 3/8" 13.8 33.96
1/4" 15/32" 10.9 33.97
9/0.45 mm 21/32" 7.6 34.31
2/0.225 mm 4/0.225 mm 34.4 34.38
2/0.45 mm 4/0.225 mm 34.4 34.38
4/0.225 mm 8/0.45 mm 17.2 34.38
4/0.45 mm 8/0.45 mm 17.2 34.38
1/8" 1/4" 21.6 34.41
4.5/0.225 mm 11/32" 15.2 34.62
5/32" 8/0.45 mm 17.2 34.85
9/32" 17/32" 9.6 34.86
8/0.45 mm 19/32" 8.5 35.09
4.5/0.225 mm 9/0.45 mm 15.1 35.22
4/0.225 mm 5/16" 17.0 35.44
4/0.45 mm 5/16" 17.0 35.44
5/16" 19/32" 8.6 35.56
7/32" 11/0.45 mm 12.2 35.81
5/0.225 mm 10/0.45 mm 13.5 35.88
5/0.45 mm 10/0.45 mm 13.5 35.88
5/32" 5/16" 17.0 35.91
7/0.45 mm 17/32" 9.6 36.08
11/32" 21/32" 7.7 36.13
3.5/0.225 mm 9/32" 19.2 36.46
6/0.45 mm 12/0.45 mm 11.2 36.86
3/16" 3/8" 14.1 36.88
6/0.45 mm 15/32" 11.1 37.37
7/32" 7/16" 12.0 37.57
3/0.225 mm 1/4" 22.1 37.81
3/0.45 mm 1/4" 22.1 37.81
1/4" 1/2" 10.4 38.08
8/0.45 mm 5/8" 8.2 38.31
9/32" 9/16" 9.2 38.47
1/4" 13/0.45 mm 10.3 38.63
5/16" 5/8" 8.3 38.78
3/32" 5/0.225 mm 27.5 38.80
3/16" 10/0.45 mm 13.8 38.80
1/16" 3.5/0.225 mm 41.1 39.12
1/8" 7/0.45 mm 20.6 39.12
5/0.225 mm 13/32" 13.1 39.13
5/0.45 mm 13/32" 13.1 39.13
7/0.45 mm 9/16" 9.3 39.69
1/32" 2/0.225 mm 81.4 40.10
1/16" 4/0.45 mm 40.7 40.10
4.5/0.225 mm 3/8" 14.3 40.28
8/0.45 mm 21/32" 8.0 41.37
7/32" 12/0.45 mm 11.5 41.46
6/0.45 mm 1/2" 10.6 41.47
4/0.225 mm 11/32" 15.9 41.68
4/0.45 mm 11/32" 15.9 41.68
5/16" 21/32" 8.0 41.84
9/32" 19/32" 8.9 41.88
1/4" 17/32" 10.0 41.92
7/32" 15/32" 11.4 41.97
6/0.45 mm 13/0.45 mm 10.5 42.03
3/16" 13/32" 13.3 42.05
5/0.225 mm 11/0.45 mm 12.6 42.13
5/0.45 mm 11/0.45 mm 12.6 42.13
5/32" 11/32" 15.9 42.15
4.5/0.225 mm 10/0.45 mm 14.0 42.19
2/0.225 mm 4.5/0.225 mm 31.5 42.27
2/0.45 mm 4.5/0.225 mm 31.5 42.27
4/0.225 mm 9/0.45 mm 15.8 42.27
4/0.45 mm 9/0.45 mm 15.8 42.27
2/0.225 mm 3/16" 31.5 42.29
2/0.45 mm 3/16" 31.5 42.29
1/8" 9/32" 19.9 42.30
3.5/0.225 mm 8/0.45 mm 18.0 42.38
1.5/0.225 mm 3.5/0.225 mm 41.9 42.52
3/0.225 mm 7/0.45 mm 21.0 42.52
3/0.45 mm 7/0.45 mm 21.0 42.52
3/32" 7/32" 26.4 42.56
5/32" 9/0.45 mm 15.8 42.74
2/0.225 mm 5/0.45 mm 31.3 43.01
2/0.45 mm 5/0.45 mm 31.3 43.01
1/16" 5/32" 39.4 43.07
7/0.45 mm 19/32" 8.9 43.09
3.5/0.225 mm 5/16" 17.8 43.44
1.5/0.225 mm 4/0.45 mm 41.5 43.49
5/0.225 mm 7/16" 12.4 43.89
5/0.45 mm 7/16" 12.4 43.89
1/0.225 mm 3/0.45 mm 61.5 44.45
1/32" 3/32" 77.4 44.57
3/16" 11/0.45 mm 12.8 45.04
9/32" 5/8" 8.6 45.10
6/0.45 mm 17/32" 10.2 45.31
4.5/0.225 mm 13/32" 13.5 45.44
1/4" 9/16" 9.6 45.53
3/32" 6/0.45 mm 25.5 45.63
3/0.225 mm 9/32" 20.2 45.70
3/0.45 mm 9/32" 20.2 45.70
7/32" 1/2" 10.9 46.08
7/0.45 mm 5/8" 8.6 46.31
1.5/0.225 mm 5/32" 40.1 46.46
7/32" 13/0.45 mm 10.8 46.63
3/16" 7/16" 12.6 46.80
4/0.225 mm 3/8" 14.9 47.33
4/0.45 mm 3/8" 14.9 47.33
5/0.225 mm 12/0.45 mm 11.9 47.78
5/0.45 mm 12/0.45 mm 11.9 47.78
5/32" 3/8" 14.9 47.80
9/32" 21/32" 8.3 48.15
1/16" 4/0.225 mm 37.1 48.22
1/8" 8/0.45 mm 18.6 48.22
5/0.225 mm 15/32" 11.8 48.29
5/0.45 mm 15/32" 11.8 48.29
4.5/0.225 mm 11/0.45 mm 13.1 48.44
6/0.45 mm 9/16" 9.7 48.92
1/4" 19/32" 9.2 48.93
2/0.225 mm 5/0.225 mm 29.1 49.25
2/0.45 mm 5/0.225 mm 29.1 49.25
4/0.225 mm 10/0.45 mm 14.6 49.25
4/0.45 mm 10/0.45 mm 14.6 49.25
1/8" 5/16" 18.3 49.28
7/0.45 mm 21/32" 8.3 49.37
3.5/0.225 mm 11/32" 16.6 49.68
5/32" 10/0.45 mm 14.6 49.72
7/32" 17/32" 10.4 49.92
4.5/0.225 mm 7/16" 12.8 50.20
3.5/0.225 mm 9/0.45 mm 16.4 50.27
3/16" 12/0.45 mm 12.0 50.70
3/16" 15/32" 12.0 51.21
1.5/0.225 mm 4/0.225 mm 37.8 51.62
3/0.225 mm 8/0.45 mm 18.9 51.62
3/0.45 mm 8/0.45 mm 18.9 51.62
3/32" 1/4" 23.8 51.65
1/4" 5/8" 8.9 52.15
6/0.45 mm 19/32" 9.4 52.33
5/0.225 mm 1/2" 11.2 52.40
5/0.45 mm 1/2" 11.2 52.40
4/0.225 mm 13/32" 14.0 52.50
4/0.45 mm 13/32" 14.0 52.50
3/0.225 mm 5/16" 18.7 52.67
3/0.45 mm 5/16" 18.7 52.67
5/0.225 mm 13/0.45 mm 11.2 52.95
5/0.45 mm 13/0.45 mm 11.2 52.95
5/32" 13/32" 14.1 52.97
2/0.225 mm 7/32" 27.9 53.01
2/0.45 mm 7/32" 27.9 53.01
7/32" 9/16" 10.0 53.53
1/0.225 mm 1/8" 55.1 54.03
4.5/0.225 mm 12/0.45 mm 12.2 54.10
4.5/0.225 mm 15/32" 12.2 54.61
1/4" 21/32" 8.6 55.21
3/16" 1/2" 11.4 55.31
3.5/0.225 mm 3/8" 15.5 55.33
4/0.225 mm 11/0.45 mm 13.5 55.50
4/0.45 mm 11/0.45 mm 13.5 55.50
1/8" 11/32" 17.0 55.52
6/0.45 mm 5/8" 9.0 55.55
3/16" 13/0.45 mm 11.3 55.87
5/32" 11/0.45 mm 13.6 55.97
1/0.225 mm 3/0.225 mm 53.7 56.09
2/0.225 mm 6/0.45 mm 26.9 56.09
2/0.45 mm 6/0.45 mm 26.9 56.09
1/16" 4.5/0.225 mm 33.8 56.11
1/8" 9/0.45 mm 16.9 56.11
1/16" 3/16" 33.8 56.13
5/0.225 mm 17/32" 10.7 56.24
5/0.45 mm 17/32" 10.7 56.24
3/32" 7/0.45 mm 22.5 56.36
1/16" 5/0.45 mm 33.5 56.85
7/32" 19/32" 9.6 56.93
3.5/0.225 mm 10/0.45 mm 15.1 57.25
4/0.225 mm 7/16" 13.2 57.26
4/0.45 mm 7/16" 13.2 57.26
5/32" 7/16" 13.3 57.73
1/32" 3/0.45 mm 65.9 58.29
6/0.45 mm 21/32" 8.7 58.61
4.5/0.225 mm 1/2" 11.6 58.71
3/0.225 mm 11/32" 17.3 58.92
3/0.45 mm 11/32" 17.3 58.92
3/16" 17/32" 10.9 59.15
4.5/0.225 mm 13/0.45 mm 11.5 59.26
1.5/0.225 mm 4.5/0.225 mm 34.4 59.51
3/0.225 mm 9/0.45 mm 17.2 59.51
3/0.45 mm 9/0.45 mm 17.2 59.51
1.5/0.225 mm 3/16" 34.4 59.53
3/32" 9/32" 21.6 59.54
5/0.225 mm 9/16" 10.3 59.85
5/0.45 mm 9/16" 10.3 59.85
7/32" 5/8" 9.2 60.15
1.5/0.225 mm 5/0.45 mm 34.1 60.25
3.5/0.225 mm 13/32" 14.6 60.50
4/0.225 mm 12/0.45 mm 12.6 61.15
4/0.45 mm 12/0.45 mm 12.6 61.15
1/8" 3/8" 15.9 61.17
5/32" 12/0.45 mm 12.7 61.62
4/0.225 mm 15/32" 12.6 61.66
4/0.45 mm 15/32" 12.6 61.66
2/0.225 mm 1/4" 25.0 62.10
2/0.45 mm 1/4" 25.0 62.10
5/32" 15/32" 12.6 62.13
4.5/0.225 mm 17/32" 11.0 62.55
3/16" 9/16" 10.4 62.76
1/16" 5/0.225 mm 31.1 63.09
1/8" 10/0.45 mm 15.5 63.09
7/32" 21/32" 8.9 63.21
5/0.225 mm 19/32" 9.9 63.25
5/0.45 mm 19/32" 9.9 63.25
3.5/0.225 mm 11/0.45 mm 14.0 63.50
3/0.225 mm 3/8" 16.2 64.57
3/0.45 mm 3/8" 16.2 64.57
3.5/0.225 mm 7/16" 13.7 65.26
3/32" 8/0.45 mm 20.1 65.46
4/0.225 mm 1/2" 11.9 65.77
4/0.45 mm 1/2" 11.9 65.77
4.5/0.225 mm 9/16" 10.6 66.16
3/16" 19/32" 10.0 66.17
5/32" 1/2" 12.0 66.24
4/0.225 mm 13/0.45 mm 11.9 66.32
4/0.45 mm 13/0.45 mm 11.9 66.32
1/8" 13/32" 14.9 66.34
5/0.225 mm 5/8" 9.5 66.47
5/0.45 mm 5/8" 9.5 66.47
1.5/0.225 mm 5/0.225 mm 31.5 66.49
3/0.225 mm 10/0.45 mm 15.8 66.49
3/0.45 mm 10/0.45 mm 15.8 66.49
3/32" 5/16" 19.9 66.51
5/32" 13/0.45 mm 11.9 66.79
1/0.225 mm 3.5/0.225 mm 47.1 66.81
2/0.225 mm 7/0.45 mm 23.6 66.81
2/0.45 mm 7/0.45 mm 23.6 66.81
1/16" 7/32" 29.7 66.85
1/0.225 mm 4/0.45 mm 46.5 67.79
1/32" 1/8" 58.6 67.87
3.5/0.225 mm 12/0.45 mm 13.1 69.15
1/8" 11/0.45 mm 14.4 69.34
3/16" 5/8" 9.6 69.39
5/0.225 mm 21/32" 9.1 69.53
5/0.45 mm 21/32" 9.1 69.53
4.5/0.225 mm 19/32" 10.1 69.57
4/0.225 mm 17/32" 11.4 69.61
4/0.45 mm 17/32" 11.4 69.61
3.5/0.225 mm 15/32" 13.0 69.66
3/0.225 mm 13/32" 15.1 69.74
3/0.45 mm 13/32" 15.1 69.74
1/32" 3/0.225 mm 57.1 69.93
1/16" 6/0.45 mm 28.5 69.93
2/0.225 mm 9/32" 22.6 69.99
2/0.45 mm 9/32" 22.6 69.99
5/32" 17/32" 11.4 70.08
1.5/0.225 mm 7/32" 30.1 70.25
1/0.225 mm 5/32" 44.8 70.76
1/8" 7/16" 14.1 71.10
3/16" 21/32" 9.2 72.45
3/0.225 mm 11/0.45 mm 14.6 72.73
3/0.45 mm 11/0.45 mm 14.6 72.73
3/32" 11/32" 18.3 72.76
4.5/0.225 mm 5/8" 9.7 72.79
4/0.225 mm 9/16" 10.9 73.22
4/0.45 mm 9/16" 10.9 73.22
1.5/0.225 mm 6/0.45 mm 28.9 73.32
3/32" 9/0.45 mm 18.2 73.35
5/32" 9/16" 10.9 73.69
3.5/0.225 mm 1/2" 12.3 73.77
3.5/0.225 mm 13/0.45 mm 12.2 74.32
3/0.225 mm 7/16" 14.2 74.49
3/0.45 mm 7/16" 14.2 74.49
1/8" 12/0.45 mm 13.4 74.99
1/8" 15/32" 13.3 75.50
4.5/0.225 mm 21/32" 9.3 75.84
1/0.225 mm 4/0.225 mm 41.9 75.91
2/0.225 mm 8/0.45 mm 21.0 75.91
2/0.45 mm 8/0.45 mm 21.0 75.91
1/16" 1/4" 26.4 75.94
4/0.225 mm 19/32" 10.4 76.62
4/0.45 mm 19/32" 10.4 76.62
2/0.225 mm 5/16" 20.7 76.97
2/0.45 mm 5/16" 20.7 76.97
5/32" 19/32" 10.4 77.09
3.5/0.225 mm 17/32" 11.7 77.61
3/0.225 mm 12/0.45 mm 13.5 78.39
3/0.45 mm 12/0.45 mm 13.5 78.39
3/32" 3/8" 17.0 78.41
3/0.225 mm 15/32" 13.4 78.90
3/0.45 mm 15/32" 13.4 78.90
1.5/0.225 mm 1/4" 26.7 79.34
1/8" 1/2" 12.6 79.61
4/0.225 mm 5/8" 10.0 79.84
4/0.45 mm 5/8" 10.0 79.84
1/8" 13/0.45 mm 12.5 80.16
5/32" 5/8" 10.0 80.31
3/32" 10/0.45 mm 16.6 80.32
1/32" 3.5/0.225 mm 49.6 80.65
1/16" 7/0.45 mm 24.8 80.65
3.5/0.225 mm 9/16" 11.2 81.22
1/32" 4/0.45 mm 49.0 81.63
4/0.225 mm 21/32" 9.6 82.90
4/0.45 mm 21/32" 9.6 82.90
3/0.225 mm 1/2" 12.7 83.00
3/0.45 mm 1/2" 12.7 83.00
2/0.225 mm 11/32" 19.0 83.21
2/0.45 mm 11/32" 19.0 83.21
5/32" 21/32" 9.6 83.37
1/8" 17/32" 12.0 83.45
3/0.225 mm 13/0.45 mm 12.6 83.56
3/0.45 mm 13/0.45 mm 12.6 83.56
3/32" 13/32" 15.9 83.58
1/0.225 mm 4.5/0.225 mm 37.8 83.80
2/0.225 mm 9/0.45 mm 18.9 83.80
2/0.45 mm 9/0.45 mm 18.9 83.80
1/0.225 mm 3/16" 37.8 83.82
1/16" 9/32" 23.8 83.83
1.5/0.225 mm 7/0.45 mm 25.1 84.05
1/0.225 mm 5/0.45 mm 37.4 84.54
1/32" 5/32" 47.1 84.60
3.5/0.225 mm 19/32" 10.7 84.62
3/32" 11/0.45 mm 15.3 86.57
3/0.225 mm 17/32" 12.1 86.84
3/0.45 mm 17/32" 12.1 86.84
1/8" 9/16" 11.4 87.06
1.5/0.225 mm 9/32" 24.1 87.23
3.5/0.225 mm 5/8" 10.2 87.84
3/32" 7/16" 14.9 88.33
2/0.225 mm 3/8" 17.6 88.86
2/0.45 mm 3/8" 17.6 88.86
1/32" 4/0.225 mm 43.9 89.75
1/16" 8/0.45 mm 22.0 89.75
3/0.225 mm 9/16" 11.5 90.45
3/0.45 mm 9/16" 11.5 90.45
1/8" 19/32" 10.9 90.46
1/0.225 mm 5/0.225 mm 34.4 90.78
2/0.225 mm 10/0.45 mm 17.2 90.78
2/0.45 mm 10/0.45 mm 17.2 90.78
1/16" 5/16" 21.6 90.81
3.5/0.225 mm 21/32" 9.8 90.90
3/32" 12/0.45 mm 14.2 92.23
3/32" 15/32" 14.1 92.74
1.5/0.225 mm 8/0.45 mm 22.2 93.15
1/8" 5/8" 10.4 93.68
3/0.225 mm 19/32" 11.0 93.86
3/0.45 mm 19/32" 11.0 93.86
2/0.225 mm 13/32" 16.4 94.03
2/0.45 mm 13/32" 16.4 94.03
1.5/0.225 mm 5/16" 21.9 94.20
1/0.225 mm 7/32" 32.6 94.54
1/8" 21/32" 10.0 96.74
3/32" 1/2" 13.3 96.84
2/0.225 mm 11/0.45 mm 15.8 97.03
2/0.45 mm 11/0.45 mm 15.8 97.03
1/16" 11/32" 19.9 97.05
3/0.225 mm 5/8" 10.5 97.08
3/0.45 mm 5/8" 10.5 97.08
3/32" 13/0.45 mm 13.2 97.40
1/0.225 mm 6/0.45 mm 31.3 97.62
1/32" 4.5/0.225 mm 39.4 97.64
1/16" 9/0.45 mm 19.7 97.64
1/32" 3/16" 39.4 97.66
1/32" 5/0.45 mm 39.0 98.38
2/0.225 mm 7/16" 15.4 98.79
2/0.45 mm 7/16" 15.4 98.79
3/0.225 mm 21/32" 10.1 100.14
3/0.45 mm 21/32" 10.1 100.14
1.5/0.225 mm 11/32" 20.0 100.45
3/32" 17/32" 12.6 100.68
1.5/0.225 mm 9/0.45 mm 19.9 101.04
2/0.225 mm 12/0.45 mm 14.6 102.68
2/0.45 mm 12/0.45 mm 14.6 102.68
1/16" 3/8" 18.3 102.70
2/0.225 mm 15/32" 14.5 103.19
2/0.45 mm 15/32" 14.5 103.19
1/0.225 mm 1/4" 28.7 103.63
3/32" 9/16" 12.0 104.29
1/32" 5/0.225 mm 35.7 104.62
1/16" 10/0.45 mm 17.9 104.62
1.5/0.225 mm 3/8" 18.5 106.10
2/0.225 mm 1/2" 13.6 107.30
2/0.45 mm 1/2" 13.6 107.30
3/32" 19/32" 11.4 107.70
2/0.225 mm 13/0.45 mm 13.5 107.85
2/0.45 mm 13/0.45 mm 13.5 107.85
1/16" 13/32" 17.0 107.87
1.5/0.225 mm 10/0.45 mm 18.0 108.02
1/0.225 mm 7/0.45 mm 26.9 108.34
1/32" 7/32" 33.8 108.38
1/16" 11/0.45 mm 16.3 110.87
3/32" 5/8" 10.9 110.92
2/0.225 mm 17/32" 12.9 111.14
2/0.45 mm 17/32" 12.9 111.14
1.5/0.225 mm 13/32" 17.2 111.27
1/32" 6/0.45 mm 32.4 111.46
1/0.225 mm 9/32" 25.7 111.52
1/16" 7/16" 15.9 112.63
3/32" 21/32" 10.4 113.98
1.5/0.225 mm 11/0.45 mm 16.4 114.26
2/0.225 mm 9/16" 12.2 114.75
2/0.45 mm 9/16" 12.2 114.75
1.5/0.225 mm 7/16" 16.0 116.02
1/16" 12/0.45 mm 15.0 116.52
1/16" 15/32" 14.9 117.03
1/0.225 mm 8/0.45 mm 23.6 117.44
1/32" 1/4" 29.7 117.47
2/0.225 mm 19/32" 11.7 118.15
2/0.45 mm 19/32" 11.7 118.15
1/0.225 mm 5/16" 23.2 118.50
1.5/0.225 mm 12/0.45 mm 15.1 119.92
1.5/0.225 mm 15/32" 15.0 120.43
1/16" 1/2" 14.1 121.14
2/0.225 mm 5/8" 11.1 121.37
2/0.45 mm 5/8" 11.1 121.37
1/16" 13/0.45 mm 13.9 121.69
1/32" 7/0.45 mm 27.7 122.18
2/0.225 mm 21/32" 10.6 124.43
2/0.45 mm 21/32" 10.6 124.43
1.5/0.225 mm 1/2" 14.1 124.53
1/0.225 mm 11/32" 21.2 124.74
1/16" 17/32" 13.3 124.98
1.5/0.225 mm 13/0.45 mm 14.0 125.09
1/0.225 mm 9/0.45 mm 21.0 125.33
1/32" 9/32" 26.4 125.36
1.5/0.225 mm 17/32" 13.4 128.37
1/16" 9/16" 12.6 128.59
1/0.225 mm 3/8" 19.4 130.39
1/32" 8/0.45 mm 24.2 131.28
1.5/0.225 mm 9/16" 12.7 131.98
1/16" 19/32" 12.0 131.99
1/0.225 mm 10/0.45 mm 18.9 132.31
1/32" 5/16" 23.8 132.34
1/16" 5/8" 11.4 135.21
1.5/0.225 mm 19/32" 12.0 135.39
1/0.225 mm 13/32" 18.0 135.56
1/16" 21/32" 10.9 138.27
1/0.225 mm 11/0.45 mm 17.2 138.56
1/32" 11/32" 21.6 138.58
1.5/0.225 mm 5/8" 11.4 138.61
1/32" 9/0.45 mm 21.5 139.17
1/0.225 mm 7/16" 16.7 140.32
1.5/0.225 mm 21/32" 10.9 141.67
1/0.225 mm 12/0.45 mm 15.8 144.21
1/32" 3/8" 19.9 144.23
1/0.225 mm 15/32" 15.6 144.72
1/32" 10/0.45 mm 19.3 146.15
1/0.225 mm 1/2" 14.7 148.83
1/0.225 mm 13/0.45 mm 14.6 149.38
1/32" 13/32" 18.3 149.40
1/32" 11/0.45 mm 17.5 152.40
1/0.225 mm 17/32" 13.8 152.67
1/32" 7/16" 17.0 154.16
1/0.225 mm 9/16" 13.1 156.28
1/32" 12/0.45 mm 16.0 158.05
1/32" 15/32" 15.9 158.56
1/0.225 mm 19/32" 12.4 159.68
1/32" 1/2" 14.9 162.67
1/0.225 mm 5/8" 11.8 162.90
1/32" 13/0.45 mm 14.8 163.22
1/0.225 mm 21/32" 11.3 165.96
1/32" 17/32" 14.1 166.51
1/32" 9/16" 13.3 170.12
1/32" 19/32" 12.6 173.52
1/32" 5/8" 12.0 176.74
1/32" 21/32" 11.4 179.80
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