Abbreviations

Abbreviations

Abbreviations 
AConductor,Litz = total conductor cross section of litz wire
Ages,Litz = total cross section of litz wire
ODLitz = outer diameter of litz wire
ODBundle = outer diameter of bundle
nsw = number of single wires
Øsw = nominal diameter of single wire
VF = bunching factor
SL = length of lay (bunching length)
SR = pitch (bunching) direction
RDC = DC resistance
RAC = AC resistance
f = frequency
ρ = specific resistance of conductor
µO = permeability of free space
δ = skin depth
J = current density
UBDV = breakdown voltage
b = width of winding window
h = height of winding window
NW,tot = total number of windings
NL = number of winding layers
NW,L = number windings per layer
FillLitz = copper filling factor of litz wire
FillWin = copper filling factor of winding window
ne = recommended total number of single wires
n1,max = number of single wires of basic bundle in 1st bunching step
k = constant according Ch. R. Sullivan

Smartbond

Smartbond Litz Wire

General

Products for multimedia applications are increasingly equipped with wireless charging devices. ELEKTRISOLA's Smartbond OSP18 has been developed to meet the needs of these specific charging systems. This self-bonding litz wire combines excellent bond strength with good windability, fast soldering, and very good hot air bonding characteristics.

The hot air bonding process is environmentally friendly compared to solvent bonding process, allows faster winding, and has potential for process automation. Very thin coils can be produced with Smartbond`s unique construction giving additional space for designers or to help to achieve miniaturization goals.

Features and benefits of Smartbond litz wires

  • excellent bonding strengths with hot air bonding
  • high winding speed
  • solderable without pre-stripping of insulation
  • environmentally friendly automated process due to elimination of solvents
  • thin walled overcoat allows small coils
  • customized wall thickness possible per customer specification

Technical properties of Smartbond litz wire

Standard Litz Wire Served Litz Wire Selfbonding Litz Wire Smartbond
Stability of coil - good medium good
Flexibility / windability soft more stiff soft soft
Bonding process - solvent hot air hot air
Mechanical protection avg good avg good
Surface and haptic - rough avg smooth
Second adhesion step
without additional adhesion		 no no limited yes

Diameter of litz wire and copper fill factor

Dimensions
Diameter of single wires 0.020 - 0.500 mm
Outer diameter of litz wires 0.500 - 3.500 mm

Applications

  • transmitter coil for wireless charging
  • receiver coil for wireless charging
  • wireless power charger
  • coreless coils in different applications

Spools

Spool and Packaging for Litz Wire

Spool Types

Spool Types Wire Sizes Characteristics
Biconical 37 - 58 AWG 0.010 mm - 0.114 mm Biconical spool for fine and ultrafine wire, superb de-reeling capability, ideal for high speed  winding machines
Cylindrical 31 - 50 AWG 0.050 mm - 0.511 mm Straight barrel spool, solid traditional design
Tapered 24 - 38 AWG 0.102 mm - 0.511 mm Stable winding due to tapered barrel spool for heavier sizes
Container Container for large spools

European Spools

Spool Type d1
[mm]		 d4
[mm]		 I1
[mm]		 I2
[mm]		 Spool weight
[g]		 Filling weight unserved litz wire* [kg] Filling weight served & taped litz wire* [kg] Filling weight extruded litz wire* [kg] Spools per box Spools per pallet max
125K 125 16 125 100 200 2.0 1.3 ** 4/6/9 216
160K 160 22 160 128 350 4.8 3.2 2.0 4 96
200K 200 22 200 160 600 8.9 5.9 3.9 2 42
250K 250 22 200 160 1050 16.6 11.0 7.3 1 36
355K 355 36 200 160 1850 32.4 - ** - 12
VMV630 630 56 475 361 18500 214.0 178.0 ** - 1
VM 710 710 52 250 180 18000 - 81.0 (taped) ** - 4
400/56-275 400 56 275 241 4590 81.0 67.5 (taped) ** - 4

Cylindrical Spool

Dimensions of the spool

d1 ➡ Flange Diameter

d4 ➡ Core diameter

l1 ➡ Overall width

l2 ➡ Traverse

* Approximate values valid for copper, for other metals please inquire.

** The extrusion machines only work with spools bore diameter of 22 mm / 0.87 inch.

Other packages on demand.

American Spools

Spool Type Flange
diameter
d1
[inch] 		Bore
diameter
d4
[inch] 		Overall
width
I1
[inch] 		Traverse
length
I2
[inch] 		Spool weight
[lbs] 		Filling weight
unserved
litz wire*
[lbs] 		Filling weight
served & taped
litz wire*
[lbs] 		Filling weight
extruded
litz wire*
[lbs] 		Spools per box max. Boxes per pallet max.
3x3" 3.15 0.63 3.15 2.52 0.16 1.23 0.82 ** 24 N/A
4x4" 3.94 0.63 3.94 3.15 0.28 2.21 1.43 ** 6 N/A
5x5" 4.92 0.63 4.92 3.94 0.54 4.41 2.87 ** 6 216
6x4" 6.00 0.63 4.33 4.32 0.75 7.06 4.63 ** 6 125
6x6" 6.30 0.87 6.30 5.04 0.8 10.58 7.06 4.85 4 96
8x8" 7.87 0.87 7.87 6.30 1.35 19.62 13.01 8.60 2 42
250K 9.84 3.01 7.80 6.22 3 N/A N/A N/A 1 36
355K 13.98 1.42 7.87 6.30 4 71.44 59.54 ** N/A 12


Spool Type Flange diameter
d1
[mm] 		Bore
diamter
d4
[mm] 		Overall
width
I1
[mm] 		Traverse
length
I2
[mm] 		Spool weight
[kg] 		Filling weight
unserved
litz wire*
[kg] 		Filling weight
served & taped
litz wire*
[kg] 		Filling weight
extruded
litz wire*
[kg] 		Spools per box max. Boxes per pallet max.
3x3" 80 16 80 64 0.07 0.56 0.37 ** 24 N/A
4x4" 100 16 100 80 0.125 1.00 0.65 ** 6 N/A
5x5" 125 16 125 100 0.245 2.00 1.30 ** 6 216
6x4" 152.4 16 110 109.7 0.340 3.20 2.10 ** 6 125
6x6" 160 22 160 128 0.35 4.80 3.20 2.20 4 96
8x8" 200 22 200 160 0.6 8.90 5.90 3.90 2 42
250K 250 76.5 198 158 1.461 N/A N/A N/A 1 36
355K 355 36 200 160 1.85 32.40 27.00 ** N/A 12

Cylindrical Spool

Dimensions of the spool

d1 ➡ Flange Diameter

d4 ➡ Core diameter

l1 ➡ Overall width

l2 ➡ Traverse

* Approximate values valid for copper, for other metals please inquire.

** The extrusion machines only work with spools bore diameter of 22 mm / 0.87 inch.

Other packages on demand.

Asian Spools

Spool Type d1 (mm) d4 (mm) l1 (mm) l2 (mm) d14 (mm) Spool Weight (g) Filling Weight unserved litz wire* (Kg) Spools per box Boxes per pallet max
PT-4 124 22 200 170 140 270 6 4 24
PT-10 160 22 230 200 180 620/420 12 2 30/40
PT-15 180 22 230 200 200 550 18 1 45/36
PT-25 215 32 280 250 230 1000 28 1 24
P-30 300 30 160 130 300 1230 20 1 24
K200C 200 22 200 160 200 625 8 2 24

Cylindrical Spool

Dimensions of the spool

d1 ➡ Flange Diameter

d4 ➡ Core diameter

d14 ➡ Flange diameter

l1 ➡ Overall width

l2 ➡ Traverse

Dimensions

Technical Data by Dimensions

Nominal Diameter No of
strands 		Cross section
of conductor 		Resistance at 20 °C Outer diameter
unserved 		Outer diameter
single served 		Outer diameter
double served 		1 kg HF-Litzwire unserved
        Grade 1 Grade 2 Grade 1 Grade 2 Grade 1 Grade 2 Grade 1 Grade 2
      nom min max min max min max min max min max min max min max Length Length
[mm] # [mm²] [Ohm/m] [Ohm/m] [Ohm/m] [mm] [mm] [mm] [mm] [mm] [mm] [mm] [mm] [mm] [mm] [mm] [mm] [m/kg] [m/kg]
0.020 10 0.0031 5.5500 4.9950 6.1050 0.087 0.095 0.099 0.107 0.112 0.135 0.124 0.147 0.137 0.175 0.149 0.187 33,344.48 31,689.48
0.020 12 0.0038 4.6550 4.1625 5.0875 0.095 0.104 0.108 0.177 0.120 0.144 0.133 0.157 0.145 0.184 0.158 0.197 22,787.07 26,407.90
0.020 16 0.0050 3.4688 3.1219 3.8156 0.111 0.121 0.126 0.138 0.136 0.161 0.151 0.176 0.163 0.201 0.176 0.216 20,840.30 19,805.93
0.020 20 0.0063 2.7750 2.4975 3.0525 0.125 0.136 0.142 0.153 0.150 0.176 0.176 0.193 0.175 0.216 0.192 0.233 16,672.24 15,844.74
0.020 30 0.0094 1.8500 1.6650 2.0350 0.154 0.168 0.175 0.189 0.179 0.208 0.200 0.229 0.204 0.248 0.225 0.269 11,114.83 10,583.16
0.020 60 0.0188 0.9434 0.8488 1.0375 0.218 0.238 0.248 0.268 0.243 0.278 0.273 0.308 0.268 0.318 0.298 0.348 5557.41 5281.58
0.020 120 0.0377 0.4716 0.4244 0.5187 0.308 0.337 0.351 0.379 0.333 0.377 0.376 0.419 0.358 0.417 0.401 0.459 2778.71 2640.79
0.020 180 0.0565 0.3204 0.2884 0.3525 0.378 0.412 0.429 0.464 0.403 0.452 0.454 0.504 0.428 0.492 0.479 0.544 1852.47 1760.53
0.020 200 0.0628 0.2829 0.2546 0.3112 0.398 0.434 0.453 0.489 0.423 0.474 0.478 0.529 0.448 0.514 0.503 0.569 1667.22 1584.47
0.020 270 0.0848 0.2136 0.1923 0.2350 0.463 0.505 0.526 0.568 0.488 0.545 0.551 0.608 0.513 0.585 0.576 0.648 1234.98 1173.68
0.020 600 0.1885 0.0961 0.0865 0.1057 0.690 0.752 0.784 0.847 0.715 0.792 0.809 0.887 0.740 0.832 0.834 0.927 555.74 528.16
0.020 800 0.2513 0.0721 0.0649 0.0793 0.796 0.869 0.905 0.978 0.821 0.909 0.930 1.018 0.846 0.949 0.955 1.058 416.81 396.12
0.020 1000 0.3142 0.0577 0.0519 0.0634 0.890 0.971 1.012 1.093 0.915 1.011 1.037 1.133 0.940 1.051 1.062 1.173 333.44 316.89
0.030 10 0.0071 2.4667 2.2200 2.7133 0.130 0.146 0.150 0.162 0.155 0.186 0.175 0.202 0.180 0.226 0.200 0.242 14,738.90 14,001.74
0.030 12 0.0085 2.0556 1.8500 2.2611 0.143 0.160 0.165 0.178 0.168 0.200 0.190 0.218 0.193 0.240 0.215 0.258 12,282.41 11,668.12
0.030 16 0.0113 1.5417 1.3875 1.6958 0.168 0.186 0.192 0.207 0.191 0.226 0.217 0.247 0.216 0.266 0.242 0.287 9211.81 8751.09
0.030 20 0.0141 1.2333 1.1100 1.3567 0.187 0.210 0.216 0.233 0.212 0.250 0.241 0.273 0.237 0.290 0.266 0.313 7369.45 7000.87
0.030 30 0.0212 0.8222 0.7400 0.9044 0.231 0.259 0.266 0.287 0.256 0.299 0.291 0.327 0.281 0.339 0.316 0.367 4912.97 4667.25
0.030 60 0.0424 0.4192 0.3773 0.4611 0.327 0.367 0.377 0.407 0.352 0.407 0.402 0.447 0.377 0.447 0.427 0.487 2456.48 2333.62
0.030 90 0.0636 0.2794 0.2515 0.3074 0.401 0.449 0.461 0.498 0.426 0.489 0.486 0.538 0.451 0.529 0.511 0.578 1637.66 1555.75
0.030 120 0.0848 0.2096 0.1886 0.2305 0.463 0.519 0.533 0.575 0.488 0.559 0.558 0.615 0.513 0.599 0.583 0.655 1228.24 1166.81
0.030 180 0.1272 0.1424 0.1282 0.1567 0.567 0.635 0.653 0.704 0.592 0.675 0.678 0.744 0.617 0.715 0.703 0.784 818.83 777.87
0.030 200 0.1414 0.1258 0.1132 0.1383 0.597 0.670 0.688 0.742 0.622 0.710 0.713 0.782 0.647 0.750 0.738 0.822 736.94 700.09
0.030 270 0.1909 0.0949 0.0854 0.1044 0.694 0.778 0.799 0.862 0.719 0.818 0.824 0.902 0.744 0.858 0.849 0.942 545.89 518.58
0.030 600 0.4241 0.0427 0.0385 0.0470 1.035 1.160 1.191 1.285 1.060 1.200 1.216 1.325 1.085 1.240 1.241 1.365 245.65 233.36
0.030 800 0.5655 0.0320 0.0288 0.0352 1.195 1.340 1.376 1.484 1.220 1.380 1.401 1.524 1.245 1.420 1.426 1.564 184.24 175.02
0.030 1000 0.7069 0.0256 0.0231 0.0282 1.336 1.498 1.538 1.660 1.361 1.538 1.563 1.700 1.386 1.578 1.588 1.740 147.39 140.02
0.040 4 0.0050 3.4688 3.1322 3.8051 0.110 0.123 0.125 0.135 0.135 0.163 0.150 0.175 0.160 0.203 0.175 0.215 20,755.04 19,805.93
0.040 8 0.0101 1.7344 1.5661 1.9026 0.156 0.173 0.177 0.191 0.181 0.213 0.202 0.231 0.206 0.253 0.227 0.271 10,377.52 9902.96
0.040 10 0.0126 1.3875 1.2529 1.5220 0.174 0.194 0.198 0.213 0.199 0.234 0.223 0.253 0.224 0.274 0.248 0.293 8302.02 7922.37
0.040 15 0.0188 0.9250 0.8352 1.0147 0.215 0.239 0.244 0.264 0.240 0.279 0.269 0.304 0.265 0.319 0.294 0.344 5534.68 5281.58
0.040 20 0.0251 0.6938 0.6264 0.7610 0.250 0.279 0.284 0.307 0.275 0.318 0.309 0.347 0.300 0.358 0.334 0.387 4151.01 3961.19
0.040 25 0.0314 0.5550 0.5011 0.6088 0.282 0.314 0.320 0.346 0.307 0.354 0.345 0.386 0.332 0.394 0.370 0.426 3320.81 3168.95
0.040 30 0.0377 0.4625 0.4176 0.5073 0.308 0.344 0.351 0.379 0.333 0.384 0.376 0.419 0.358 0.424 0.401 0.459 2767.34 2640.79
0.040 35 0.0440 0.3964 0.3580 0.4349 0.333 0.371 0.379 0.409 0.358 0.411 0.404 0.449 0.383 0.451 0.429 0.489 2372.00 2263.53
0.040 45 0.0565 0.3083 0.2784 0.3382 0.378 0.421 0.429 0.464 0.403 0.461 0.454 0.504 0.428 0.501 0.479 0.544 1844.89 1760.53
0.040 60 0.0754 0.2358 0.2129 0.2586 0.436 0.486 0.496 0.535 0.461 0.526 0.521 0.575 0.486 0.566 0.546 0.615 1383.67 1320.40
0.040 75 0.0942 0.1886 0.1703 0.2069 0.488 0.543 0.554 0.599 0.513 0.583 0.579 0.639 0.538 0.623 0.604 0.679 1106.94 1056.32
0.040 90 0.1131 0.1572 0.1419 0.1724 0.534 0.595 0.607 0.656 0.559 0.635 0.632 0.696 0.584 0.675 0.657 0.736 922.45 880.26
0.040 105 0.1319 0.1347 0.1217 0.1478 0.577 0.643 0.656 0.708 0.602 0.683 0.681 0.748 0.627 0.723 0.706 0.788 790.67 754.51
0.040 180 0.2262 0.0801 0.0723 0.0879 0.756 0.841 0.859 0.927 0.781 0.881 0.884 0.967 0.806 0.921 0.909 1.007 461.22 440.13
0.040 225 0.2827 0.0641 0.0579 0.0703 0.845 0.941 0.960 1.037 0.870 0.981 0.985 1.077 0.895 1.021 1.010 1.117 368.98 352.11
0.040 270 0.3393 0.0534 0.0482 0.0586 0.925 1.031 1.052 1.136 0.950 1.071 1.077 1.176 0.975 1.111 1.102 1.216 307.48 293.42
0.040 600 0.7540 0.0240 0.0217 0.0264 1.380 1.536 1.568 1.693 1.405 1.576 1.593 1.733 1.430 1.616 1.618 1.773 138.37 132.04
0.040 800 1.0053 0.0180 0.0163 0.0198 1.593 1.774 1.810 1.955 1.618 1.814 1.835 1.995 1.643 1.854 1.860 2.035 103.78 99.03
0.040 1000 1.2566 0.0144 0.0130 0.0158 1.781 1.983 2.024 2.186 1.806 2.023 2.049 2.226 1.831 2.063 2.074 2.266 83.02 79.22
0.050 4 0.0079 2.2200 2.0202 2.4198 0.138 0.150 0.153 0.165 0.163 0.190 0.178 0.205 0.188 0.230 0.203 0.245 13,337.79 12,809.17
0.050 8 0.0157 1.1100 1.0101 1.2099 0.194 0.212 0.216 0.233 0.219 0.252 0.241 0.273 0.244 0.292 0.266 0.313 6668.90 6404.59
0.050 10 0.0196 0.8880 0.8081 0.9679 0.217 0.237 0.241 0.261 0.242 0.277 0.266 0.301 0.267 0.317 0.291 0.341 5335.12 5123.67
0.050 15 0.0295 0.5920 0.5387 0.6453 0.268 0.293 0.298 0.322 0.293 0.333 0.323 0.362 0.318 0.373 0.348 0.402 3556.74 3415.78
0.050 20 0.0393 0.4440 0.4040 0.4840 0.312 0.341 0.346 0.375 0.337 0.381 0.371 0.415 0.362 0.421 0.396 0.455 2667.56 2561.83
0.050 25 0.0491 0.3552 0.3232 0.3872 0.352 0.384 0.390 0.422 0.377 0.424 0.415 0.462 0.402 0.464 0.440 0.502 2134.05 2049.47
0.050 30 0.0589 0.2960 0.2694 0.3226 0.386 0.421 0.428 0.463 0.411 0.461 0.453 0.503 0.436 0.501 0.478 0.543 1778.37 1707.89
0.050 35 0.0687 0.2537 0.2309 0.2765 0.416 0.454 0.462 0.500 0.441 0.494 0.487 0.540 0.466 0.534 0.512 0.580 1524.32 1463.91
0.050 45 0.0884 0.1973 0.1796 0.2151 0.472 0.515 0.524 0.567 0.497 0.555 0.549 0.607 0.522 0.595 0.574 0.647 1185.58 1138.59
0.050 60 0.1178 0.1509 0.1373 0.1645 0.545 0.595 0.605 0.654 0.570 0.635 0.630 0.694 0.595 0.675 0.655 0.734 889.19 853.94
0.050 75 0.1473 0.1207 0.1099 0.1316 0.610 0.665 0.676 0.732 0.635 0.705 0.701 0.772 0.660 0.745 0.726 0.812 711.35 683.16
0.050 90 0.1767 0.1006 0.0915 0.1097 0.668 0.729 0.741 0.801 0.693 0.769 0.766 0.841 0.718 0.809 0.791 0.881 592.79 569.30
0.050 105 0.2062 0.0862 0.0785 0.0940 0.721 0.787 0.800 0.866 0.746 0.827 0.825 0.906 0.771 0.867 0.850 0.946 508.11 487.97
0.050 180 0.3534 0.0513 0.0467 0.0559 0.945 1.030 1.048 1.133 0.970 1.070 1.073 1.173 0.995 1.110 1.098 1.213 296.40 284.65
0.050 225 0.4418 0.0410 0.0373 0.0447 1.056 1.152 1.171 1.267 1.081 1.192 1.196 1.307 1.106 1.232 1.221 1.347 237.12 227.72
0.050 270 0.5301 0.0342 0.0311 0.0373 1.157 1.262 1.283 1.388 1.182 1.302 1.308 1.428 1.207 1.342 1.333 1.468 197.60 189.77
0.050 600 1.1781 0.0154 0.0140 0.0168 1.724 1.881 1.913 2.069 1.749 1.921 1.938 2.109 1.774 1.961 1.963 2.149 88.92 85.39
0.050 800 1.5708 0.0115 0.0105 0.0126 1.991 2.172 2.208 2.389 2.016 2.212 2.233 2.429 2.041 2.252 2.258 2.469 66.69 64.05
0.050 1000 1.9635 0.0092 0.0084 0.0101 2.226 2.429 2.469 2.671 2.251 2.469 2.494 2.711 2.276 2.509 2.519 2.751 53.35 51.24
0.071 4 0.0158 1.1010 1.0049 1.2106 0.195 0.210 0.213 0.228 0.220 0.250 0.238 0.268 0.245 0.290 0.263 0.308 6634.43 6419.69
0.071 8 0.0317 0.5505 0.5025 0.6053 0.276 0.297 0.301 0.322 0.301 0.337 0.326 0.362 0.326 0.377 0.351 0.402 3317.21 3209.85
0.071 10 0.0396 0.4404 0.4020 0.4842 0.308 0.332 0.336 0.360 0.333 0.372 0.361 0.400 0.358 0.412 0.386 0.440 2653.77 2567.88
0.071 15 0.0594 0.2936 0.2680 0.3228 0.381 0.410 0.415 0.444 0.406 0.450 0.440 0.484 0.431 0.490 0.465 0.524 1769.18 1711.92
0.071 20 0.0792 0.2202 0.2010 0.2421 0.443 0.477 0.483 0.517 0.468 0.517 0.508 0.567 0.493 0.557 0.533 0.597 1326.89 1283.94
0.071 25 0.0990 0.1762 0.1608 0.1937 0.499 0.538 0.544 0.582 0.524 0.578 0.569 0.622 0.549 0.618 0.594 0.662 1061.51 1027.15
0.071 30 0.1188 0.1468 0.1340 0.1614 0.547 0.589 0.596 0.638 0.572 0.629 0.621 0.678 0.597 0.669 0.646 0.718 884.59 855.96
0.071 35 0.1386 0.1258 0.1148 0.1384 0.591 0.636 0.644 0.689 0.616 0.676 0.669 0.729 0.641 0.716 0.694 0.769 758.22 733.68
0.071 45 0.1782 0.0979 0.0893 0.1076 0.670 0.721 0.730 0.781 0.695 0.761 0.755 0.821 0.720 0.801 0.780 0.861 589.73 570.64
0.071 60 0.2376 0.0748 0.0683 0.0823 0.773 0.833 0.843 0.902 0.798 0.873 0.868 0.942 0.823 0.913 0.893 0.982 442.30 427.98
0.071 75 0.2969 0.0699 0.0546 0.0658 0.865 0.931 0.942 1.009 0.890 0.971 0.967 1.049 0.915 1.011 0.992 1.089 353.84 342.38
0.071 90 0.3563 0.0499 0.0455 0.0549 0.947 1.020 1.032 1.105 0.972 1.060 1.057 1.145 0.997 1.100 1.082 1.185 294.86 285.32
0.071 105 0.4157 0.0428 0.0390 0.0470 1.023 1.102 1.115 1.194 1.048 1.142 1.140 1.234 1.073 1.182 1.165 1.274 252.74 244.56
0.071 135 0.5345 0.0333 0.0304 0.0366 1.160 1.249 1.264 1.353 1.185 1.289 1.289 1.393 1.210 1.329 1.314 1.433 196.58 190.21
0.071 180 0.7127 0.0254 0.0232 0.0280 1.339 1.443 1.460 1.563 1.364 1.483 1.485 1.603 1.389 1.523 1.510 1.643 147.43 142.66
0.071 225 0.8908 0.0203 0.0186 0.0224 1.498 1.613 1.632 1.747 1.523 1.653 1.657 1.787 1.548 1.693 1.682 1.827 117.95 114.13
0.071 270 1.0690 0.0170 0.0155 0.0186 1.641 1.767 1.788 1.914 1.666 1.807 1.813 1.954 1.691 1.847 1.838 1.994 98.29 95.11
0.071 600 2.3755 0.0076 0.0070 0.0084 2.446 2.634 2.665 2.853 2.471 2.674 2.690 2.893 2.496 2.714 2.715 2.933 44.23 42.80
0.071 800 3.1674 0.0057 0.0052 0.0063 2.824 3.041 3.077 3.295 2.849 3.081 3.102 3.335 2.874 3.121 3.127 3.375 33.17 32.10
0.071 1000 3.9592 0.0046 0.0042 0.0050 3.157 3.400 3.441 3.683 3.182 3.440 3.466 3.723 3.207 3.480 3.491 3.763 26.54 25.68
0.080 4 0.0201 0.8672 0.7988 0.9441 0.218 0.235 0.238 0.253 0.243 0.275 0.263 0.293 0.268 0.315 0.288 0.333 5241.94 5081.45
0.080 8 0.0402 0.4336 0.3994 0.4721 0.308 0.332 0.336 0.357 0.333 0.372 0.361 0.397 0.358 0.412 0.386 0.437 2620.97 2540.72
0.080 10 0.0503 0.3469 0.3195 0.3777 0.344 0.372 0.376 0.399 0.369 0.412 0.401 0.439 0.394 0.452 0.426 0.479 2096.78 2032.58
0.080 15 0.0754 0.2312 0.2130 0.2518 0.425 0.459 0.464 0.493 0.450 0.499 0.489 0.533 0.475 0.539 0.514 0.573 1397.85 1355.05
0.080 20 0.1005 0.1734 0.1598 0.1888 0.494 0.534 0.540 0.574 0.519 0.574 0.565 0.614 0.544 0.614 0.590 0.654 1048.39 1016.29
0.080 25 0.1257 0.1387 0.1278 0.1511 0.557 0.602 0.608 0.646 0.582 0.642 0.633 0.686 0.607 0.682 0.658 0.726 838.71 813.03
0.080 30 0.1508 0.1156 0.1065 0.1259 0.610 0.659 0.666 0.708 0.635 0.699 0.691 0.748 0.660 0.739 0.716 0.788 698.93 677.53
0.080 35 0.1759 0.0991 0.0913 0.1079 0.659 0.712 0.719 0.765 0.684 0.752 0.744 0.805 0.709 0.792 0.769 0.845 599.08 580.74
0.080 45 0.2262 0.0771 0.0710 0.0839 0.747 0.807 0.816 0.867 0.772 0.847 0.841 0.907 0.797 0.887 0.866 0.947 465.95 451.68
0.080 60 0.3016 0.0589 0.0543 0.0642 0.863 0.932 0.942 1.001 0.888 0.972 0.967 1.041 0.913 1.012 0.992 1.081 349.46 338.78
0.080 75 0.3770 0.0472 0.0434 0.0513 0.964 1.042 1.053 1.120 0.989 1.082 1.078 1.160 1.014 1.122 1.103 1.200 279.57 271.01
0.080 90 0.4524 0.0393 0.0362 0.0428 1.056 1.141 1.154 1.226 1.081 1.181 1.179 1.266 1.106 1.221 1.204 1.306 232.98 225.84
0.080 105 0.5278 0.0337 0.0310 0.0367 1.141 1.233 1.246 1.325 1.166 1.273 1.271 1.365 1.191 1.313 1.296 1.405 199.69 193.58
0.080 180 0.9048 0.0200 0.0184 0.0218 1.494 1.614 1.631 1.734 1.519 1.654 1.656 1.774 1.544 1.694 1.681 1.814 116.49 112.92
0.080 225 1.1310 0.0160 0.0148 0.0174 1.670 1.805 1.824 1.939 1.695 1.845 1.849 1.979 1.720 1.885 1.874 2.019 93.19 90.34
0.080 270 1.3572 0.0134 0.0123 0.0145 1.830 1.977 1.998 2.124 1.855 2.017 2.023 2.164 1.880 2.057 2.048 2.204 77.66 75.28
0.080 600 3.0159 0.0060 0.0055 0.0065 2.728 2.947 2.979 3.167 2.753 2.987 3.004 3.207 2.778 3.027 3.029 3.247 34.95 33.88
0.080 800 4.0212 0.0045 0.0042 0.0049 3.150 3.403 3.439 3.657 3.175 3.443 3.464 3.697 3.200 3.483 3.489 3.737 26.21 25.41
0.080 1000 5.0265 0.0036 0.0033 0.0039 3.522 3.805 3.845 4.088 3.547 3.845 3.870 4.128 3.572 3.885 3.895 4.168 20.97 20.33
0.100 4 0.0314 0.5550 0.5187 0.5949 0.270 0.293 0.295 0.313 0.295 0.333 0.320 0.353 0.320 0.373 0.345 0.393 3361.62 3263.16
0.100 8 0.0628 0.2775 0.2594 0.2975 0.382 0.414 0.417 0.442 0.407 0.454 0.442 0.482 0.432 0.494 0.467 0.522 1680.81 1631.58
0.100 10 0.0785 0.2220 0.2075 0.2380 0.427 0.462 0.466 0.494 0.452 0.502 0.491 0.534 0.477 0.542 0.516 0.574 1344.65 1305.26
0.100 15 0.1178 0.1480 0.1383 0.1587 0.527 0.571 0.576 0.610 0.552 0.611 0.601 0.650 0.577 0.651 0.626 0.690 896.43 870.18
0.100 20 0.1571 0.1110 0.1037 0.1190 0.613 0.665 0.670 0.710 0.638 0.705 0.695 0.750 0.663 0.745 0.720 0.790 672.32 652.63
0.100 25 0.1963 0.0888 0.0830 0.0952 0.691 0.749 0.755 0.800 0.716 0.789 0.780 0.840 0.741 0.829 0.805 0.880 537.86 522.11
0.100 30 0.2356 0.0740 0.0692 0.0793 0.757 0.820 0.827 0.876 0.782 0.860 0.852 0.916 0.807 0.900 0.877 0.956 448.22 435.09
0.100 35 0.2749 0.0634 0.0593 0.0680 0.818 0.886 0.894 0.947 0.843 0.926 0.919 0.987 0.868 0.966 0.944 1.027 384.18 372.93
0.100 40 0.3142 0.0555 0.0519 0.0595 0.874 0.947 0.955 1.012 0.899 0.987 0.980 1.052 0.924 1.027 1.005 1.092 336.16 326.32
0.100 45 0.3534 0.0493 0.0461 0.0529 0.927 1.005 1.013 1.073 0.952 1.045 1.038 1.113 0.977 1.085 1.063 1.153 298.81 290.06
0.100 60 0.4712 0.0377 0.0353 0.0404 1.071 1.160 1.170 1.239 1.096 1.200 1.195 1.279 1.121 1.240 1.220 1.319 224.11 217.54
0.100 75 0.5890 0.0302 0.0282 0.0324 1.197 1.297 1.308 1.386 1.222 1.337 1.333 1.426 1.247 1.377 1.358 1.466 179.29 174.04
0.100 90 0.7069 0.0252 0.0235 0.0270 1.311 1.421 1.433 1.518 1.336 1.461 1.458 1.558 1.361 1.501 1.483 1.598 149.41 145.03
0.100 105 0.8247 0.0216 0.0201 0.0231 1.417 1.535 1.548 1.640 1.442 1.575 1.573 1.680 1.467 1.615 1.598 1.720 128.06 124.31
0.100 120 0.9425 0.0189 0.0176 0.0202 1.514 1.641 1.655 1.753 1.539 1.681 1.680 1.793 1.564 1.721 1.705 1.833 112.05 108.77
0.100 160 1.2566 0.0141 0.0132 0.0152 1.749 1.894 1.911 2.024 1.774 1.934 1.936 2.064 1.799 1.974 1.961 2.104 84.04 81.58
0.100 180 1.4137 0.0126 0.0118 0.0135 1.855 2.009 2.026 2.147 1.880 2.049 2.051 2.187 1.905 2.089 2.076 2.227 74.70 72.51
0.100 200 1.5708 0.0113 0.0106 0.0121 1.955 2.118 2.136 2.263 1.980 2.158 2.161 2.303 2.005 2.198 2.186 2.343 67.23 65.26
0.100 225 1.7671 0.0103 0.0096 0.0110 2.074 2.246 2.266 2.400 2.099 2.286 2.291 2.440 2.124 2.326 2.316 2.480 59.76 58.01
0.100 270 2.1206 0.0085 0.0080 0.0092 2.272 2.461 2.482 2.629 2.297 2.501 2.507 2.669 2.322 2.541 2.532 2.709 49.80 48.34
0.100 600 4.7124 0.0038 0.0036 0.0041 3.386 3.668 3.700 3.919 3.411 3.708 3.725 3.959 3.436 3.748 3.750 3.999 22.41 21.75
0.100 800 6.2832 0.0029 0.0027 0.0031 3.910 4.236 4.272 4.525 3.935 4.276 4.297 4.565 3.960 4.316 4.322 4.605 16.81 16.32
0.120 4 0.0452 0.3853 0.3636 0.4090 0.325 0.345 0.348 0.370 0.350 0.385 0.373 0.410 0.375 0.425 0.398 0.450 2340.72 2280.74
0.120 8 0.0905 0.1927 0.1818 0.2045 0.460 0.488 0.491 0.523 0.485 0.528 0.516 0.563 0.510 0.568 0.541 0.603 1170.36 1140.37
0.120 10 0.1131 0.1541 0.1455 0.1636 0.514 0.545 0.549 0.585 0.539 0.585 0.574 0.625 0.564 0.625 0.599 0.665 936.29 912.30
0.120 15 0.1696 0.1027 0.0970 0.1091 0.634 0.673 0.678 0.722 0.659 0.713 0.703 0.762 0.684 0.753 0.728 0.802 624.19 608.20
0.120 20 0.2262 0.0771 0.0727 0.0818 0.738 0.784 0.789 0.841 0.763 0.824 0.814 0.881 0.788 0.864 0.839 0.921 468.14 456.15
0.120 25 0.2827 0.0616 0.0582 0.0654 0.832 0.883 0.890 0.947 0.857 0.923 0.915 0.987 0.882 0.963 0.940 1.027 374.52 364.92
0.120 30 0.3393 0.0514 0.0485 0.0545 0.911 0.967 0.975 1.038 0.936 1.007 1.000 1.078 0.961 1.047 1.025 1.118 312.10 304.10
0.120 35 0.3958 0.0440 0.0416 0.0467 0.984 1.045 1.053 1.121 1.009 1.085 1.078 1.161 1.034 1.125 1.103 1.201 267.51 260.66
0.120 45 0.5089 0.0342 0.0323 0.0364 1.116 1.185 1.194 1.271 1.141 1.225 1.219 1.311 1.166 1.265 1.244 1.351 208.06 202.73
0.120 60 0.6786 0.0262 0.0247 0.0278 1.289 1.368 1.378 1.467 1.314 1.408 1.403 1.507 1.339 1.448 1.428 1.547 156.05 152.05
0.120 75 0.8482 0.0210 0.0198 0.0222 1.441 1.530 1.541 1.641 1.466 1.570 1.566 1.681 1.491 1.610 1.591 1.721 124.84 121.64
0.120 90 1.0179 0.0175 0.0165 0.0185 1.579 1.676 1.688 1.797 1.604 1.716 1.713 1.837 1.629 1.756 1.738 1.877 104.03 101.37
0.120 105 1.1875 0.0150 0.0141 0.0159 1.705 1.810 1.823 1.941 1.730 1.850 1.848 1.981 1.755 1.890 1.873 2.021 89.17 86.89
0.120 180 2.0358 0.0087 0.0082 0.0093 2.232 2.370 2.387 2.542 2.257 2.410 2.412 2.582 2.282 2.450 2.437 2.622 52.02 50.68
0.120 225 2.5447 0.0071 0.0067 0.0076 2.496 2.650 2.669 2.842 2.521 2.690 2.694 2.882 2.546 2.730 2.719 2.922 41.61 40.55
0.120 270 3.0536 0.0059 0.0056 0.0063 2.734 2.902 2.924 3.113 2.759 2.942 2.949 3.153 2.784 2.982 2.974 3.193 34.68 33.79
0.120 600 6.7858 0.0027 0.0025 0.0028 4.076 4.327 4.358 4.640 4.101 4.367 4.383 4.680 4.126 4.407 4.408 4.720 15.60 15.20
0.140 4 0.0616 0.2832 0.2691 0.2982 0.378 0.400 0.403 0.428 0.403 0.440 0.428 0.468 0.428 0.480 0.453 0.508 1723.00 1681.32
0.140 10 0.1539 0.1133 0.1076 0.1193 0.597 0.632 0.636 0.676 0.622 0.672 0.661 0.716 0.647 0.712 0.686 0.756 689.20 672.53
0.140 20 0.3079 0.0566 0.0538 0.0596 0.858 0.909 0.914 0.971 0.883 0.949 0.939 1.011 0.908 0.989 0.964 1.051 344.60 336.26
0.140 30 0.4618 0.0378 0.0359 0.0398 1.059 1.122 1.129 1.199 1.084 1.162 1.154 1.239 1.109 1.202 1.179 1.279 229.73 224.18
0.140 45 0.6927 0.0252 0.0239 0.0265 1.297 1.374 1.382 1.468 1.322 1.414 1.407 1.508 1.347 1.454 1.432 1.548 153.16 149.45
0.140 60 0.9236 0.0192 0.0183 0.0203 1.497 1.586 1.596 1.695 1.522 1.626 1.621 1.735 1.547 1.666 1.646 1.775 114.87 112.09
0.140 75 1.1545 0.0154 0.0146 0.0162 1.674 1.774 1.785 1.896 1.699 1.814 1.810 1.936 1.724 1.854 1.835 1.976 91.89 89.67
0.140 90 1.3854 0.0128 0.0122 0.0135 1.834 1.943 1.955 2.076 1.859 1.983 1.980 2.116 1.884 2.023 2.005 2.156 76.58 74.73
0.140 100 1.5394 0.0115 0.0110 0.0122 1.933 2.048 2.061 2.189 1.958 2.088 2.086 2.229 1.983 2.128 2.111 2.269 68.92 67.25
0.140 120 1.8473 0.0096 0.0091 0.0101 2.117 2.243 2.257 2.398 2.142 2.283 2.282 2.438 2.167 2.323 2.307 2.478 57.43 56.04
0.140 150 2.3091 0.0077 0.0073 0.0081 2.367 2.508 2.524 2.681 2.392 2.548 2.549 2.721 2.417 2.588 2.574 2.761 45.95 44.84
0.140 200 3.0788 0.0058 0.0055 0.0061 2.733 2.896 2.914 3.095 2.758 2.936 2.939 3.135 2.783 2.976 2.964 3.175 34.46 33.63
0.140 225 3.4636 0.0052 0.0050 0.0055 2.899 3.072 3.091 3.283 2.924 3.112 3.116 3.323 2.949 3.152 3.141 3.363 30.63 29.89
0.140 270 4.1563 0.0044 0.0041 0.0046 3.176 3.365 3.386 3.597 3.201 3.405 3.411 3.637 3.226 3.445 3.436 3.677 25.53 24.91
0.150 4 0.0707 0.2467 0.2351 0.2591 0.405 0.428 0.430 0.455 0.430 0.468 0.455 0.495 0.455 0.508 0.480 0.535 1501.26 1467.40
0.150 10 0.1767 0.0987 0.0940 0.1036 0.640 0.676 0.680 0.719 0.665 0.716 0.705 0.759 0.690 0.756 0.730 0.799 600.51 586.96
0.150 20 0.3534 0.0493 0.0470 0.0518 0.920 0.971 0.977 1.034 0.945 1.011 1.002 1.074 0.970 1.051 1.027 1.114 300.25 293.48
0.150 30 0.5301 0.0329 0.0313 0.0345 1.136 1.199 1.206 1.276 1.161 1.239 1.231 1.316 1.186 1.279 1.256 1.356 200.17 195.65
0.150 45 0.7952 0.0219 0.0209 0.0230 1.391 1.468 1.477 1.563 1.416 1.508 1.502 1.603 1.441 1.548 1.527 1.643 133.45 130.44
0.150 60 1.0603 0.0168 0.0160 0.0176 1.606 1.695 1.705 1.805 1.631 1.735 1.730 1.845 1.656 1.775 1.755 1.885 100.08 97.83
0.150 75 1.3254 0.0134 0.0128 0.0141 1.796 1.896 1.907 2.017 1.821 1.936 1.932 2.057 1.846 1.976 1.957 2.097 80.07 78.26
0.150 90 1.5904 0.0112 0.0107 0.0117 1.967 2.076 2.089 2.210 1.992 2.116 2.114 2.250 2.017 2.156 2.139 2.290 66.72 65.22
0.150 100 1.7671 0.0101 0.0096 0.0106 2.074 2.189 2.202 2.330 2.099 2.229 2.227 2.370 2.124 2.269 2.252 2.410 60.05 58.70
0.150 120 2.1206 0.0084 0.0080 0.0088 2.272 2.398 2.412 2.552 2.297 2.438 2.437 2.592 2.322 2.478 2.462 2.632 50.04 48.91
0.150 150 2.6507 0.0067 0.0064 0.0070 2.540 2.681 2.696 2.853 2.565 2.721 2.721 2.893 2.590 2.761 2.746 2.933 40.03 39.13
0.150 200 3.5343 0.0050 0.0048 0.0053 2.933 3.095 3.114 3.295 2.958 3.135 3.139 3.335 2.983 3.175 3.164 3.375 30.03 29.35
0.150 225 3.9761 0.0046 0.0043 0.0048 3.110 3.283 3.302 3.494 3.135 3.323 3.327 3.534 3.160 3.363 3.352 3.574 26.69 26.09
0.150 270 4.7713 0.0038 0.0036 0.0040 3.407 3.597 3.618 3.828 3.432 3.637 3.643 3.868 3.457 3.677 3.668 3.908 22.24 21.74
0.160 4 0.0804 0.2168 0.2071 0.2271 0.430 0.455 0.458 0.485 0.455 0.495 0.483 0.525 0.480 0.535 0.508 0.565 1321.05 1290.51
0.160 10 0.2011 0.0867 0.0828 0.0908 0.680 0.719 0.723 0.767 0.705 0.759 0.748 0.807 0.730 0.799 0.773 0.847 528.42 516.20
0.160 20 0.4021 0.0434 0.0414 0.0454 0.977 1.034 1.039 1.102 1.002 1.074 1.064 1.142 1.027 1.114 1.089 1.182 264.21 258.10
0.160 30 0.6032 0.0289 0.0276 0.0303 1.206 1.276 1.283 1.360 1.231 1.316 1.308 1.400 1.256 1.356 1.333 1.440 176.14 172.07
0.160 45 0.9048 0.0193 0.0184 0.0202 1.477 1.563 1.571 1.666 1.502 1.603 1.596 1.706 1.527 1.643 1.621 1.746 117.43 114.71
0.160 60 1.2064 0.0147 0.0141 0.0154 1.705 1.805 1.814 1.923 1.730 1.845 1.839 1.963 1.755 1.885 1.864 2.003 88.07 86.03
0.160 75 1.5080 0.0118 0.0113 0.0123 1.907 2.017 2.029 2.151 1.932 2.057 2.054 2.191 1.957 2.097 2.079 2.231 70.46 68.83
0.160 90 1.8096 0.0098 0.0094 0.0103 2.089 2.210 2.222 2.356 2.114 2.250 2.247 2.396 2.139 2.290 2.272 2.436 58.71 57.36
0.160 100 2.0106 0.0088 0.0084 0.0093 2.202 2.330 2.342 2.483 2.227 2.370 2.367 2.523 2.252 2.410 2.392 2.563 52.84 51.62
0.160 120 2.4127 0.0074 0.0070 0.0077 2.412 2.552 2.2566 2.720 2.437 2.592 2.591 2.760 2.462 2.632 2.616 2.800 44.04 43.02
0.160 150 3.0159 0.0059 0.0056 0.0062 2.696 2.853 2.869 3.041 2.721 2.893 2.894 3.081 2.746 2.933 2.919 3.121 35.23 34.41
0.160 200 4.0212 0.0044 0.0042 0.0046 3.114 3.295 3.313 3.512 3.139 3.335 3.338 3.552 3.164 3.375 3.363 3.592 26.42 25.81
0.160 225 4.5239 0.0040 0.0038 0.0042 3.302 3.494 3.514 3.725 3.327 3.534 3.539 3.765 3.352 3.574 3.564 3.805 23.49 22.94
0.160 270 5.4287 0.0033 0.0032 0.0035 3.618 3.828 3.849 4.080 3.643 3.868 3.874 4.120 3.668 3.908 3.899 4.160 19.57 19.12
0.180 4 0.1018 0.1713 0.1643 0.1787 0.483 0.510 0.513 0.543 0.508 0.550 0.538 0.583 0.533 0.590 0.563 0.623 1044.95 1021.66
0.180 5 0.1272 0.1370 0.1315 0.1429 0.539 0.570 0.573 0.607 0.564 0.610 0.598 0.647 0.589 0.650 0.623 0.687 835.96 817.33
0.180 10 0.2545 0.0685 0.0657 0.0715 0.763 0.806 0.810 0.858 0.788 0.846 0.835 0.898 0.813 0.886 0.860 0.938 417.98 408.33
0.180 20 0.5089 0.0343 0.0329 0.0357 1.096 1.159 1.164 1.232 1.121 1.199 1.189 1.272 1.146 1.239 1.214 1.312 208.99 204.33
0.180 30 0.7634 0.0228 0.0219 0.0238 1.353 1.430 1.437 1.521 1.378 1.470 1.462 1.561 1.403 1.510 1.487 1.601 139.33 136.22
0.180 45 1.1451 0.0152 0.0146 0.0159 1.657 1.752 1.760 1.863 1.682 1.792 1.785 1.903 1.707 1.832 1.810 1.943 92.88 90.81
0.180 60 1.5268 0.0116 0.0112 0.0121 1.914 2.023 2.033 2.152 1.939 2.063 2.058 2.192 1.964 2.103 2.083 2.232 69.66 68.11
0.180 75 1.9085 0.0093 0.0089 0.0097 2.139 2.261 2.272 2.405 2.164 2.301 2.297 2.445 2.189 2.341 2.322 2.485 55.73 54.49
0.180 90 2.2902 0.0078 0.0074 0.0081 0.344 2.477 2.489 2.635 2.369 2.517 2.514 2.675 2.394 2.557 2.539 2.715 46.44 45.41
0.180 100 2.5447 0.0070 0.0067 0.0073 2.470 2.611 2.624 2.778 2.495 2.651 2.649 2.818 2.520 2.691 2.674 2.858 41.80 40.87
0.180 120 3.0536 0.0058 0.0056 0.0061 2.706 2.860 2.874 3.043 2.731 2.2900 2.899 3.083 2.756 2.940 2.2924 3.123 34.83 34.06
0.180 150 3.8170 0.0047 0.0045 0.0049 3.026 3.198 3.214 3.402 3.051 3.238 3.239 3.442 3.076 3.278 3.264 3.482 27.87 27.24
0.180 200 5.0894 0.0035 0.0034 0.0036 3.494 3.693 3.711 3.928 3.519 3.733 3.736 3.968 3.544 3.773 3.761 4.008 20.90 20.43
0.180 270 6.8707 0.0026 0.0025 0.0028 4.059 4.291 4.312 4.564 4.084 4.331 4.337 4.604 4.109 4.371 4.362 4.644 15.48 15.14
0.200 4 0.1257 0.1387 0.1335 0.1443 0.535 0.565 0.568 0.598 0.560 0.605 0.593 0.638 0.585 0.645 0.618 0.678 847.16 829.52
0.200 10 0.3142 0.0555 0.0534 0.0577 0.846 0.893 0.897 0.945 0.871 0.933 0.922 0.985 0.896 0.973 0.947 1.025 338.86 331.81
0.200 15 0.4712 0.0370 0.0356 0.0385 1.044 1.103 1.108 1.166 1.069 1.143 1.133 1.206 1.094 1.183 1.158 1.246 225.91 221.20
0.200 20 0.6283 0.0277 0.0267 0.0289 1.215 1.284 1.289 1.357 1.240 1.324 1.314 1.397 1.265 1.364 1.339 1.437 169.43 165.90
0.200 25 0.7854 0.222 0.0214 0.0231 1.370 1.446 1.453 1.530 1.395 1.486 1.478 1.570 1.420 1.526 1.503 1.610 135.54 132.72
0.200 30 0.9425 0.0185 0.0178 0.0192 1.500 1.584 1.591 1.676 1.525 1.624 1.616 1.716 1.550 1.664 1.641 1.756 112.95 110.60
0.200 45 1.4137 0.0123 0.0119 0.0128 1.838 1.941 1.949 2.052 1.863 1.981 1.974 2.092 1.888 2.021 1.999 2.132 75.30 73.73
0.200 60 1.8850 0.0094 0.0091 0.0098 2.122 2.241 2.251 2.370 2.147 2.281 2.276 2.410 2.172 2.321 2.301 2.450 56.48 55.30
0.200 75 2.3562 0.0075 0.0073 0.0078 2.372 2.505 2.516 2.649 2.397 2.545 2.541 2.689 2.422 2.585 2.566 2.729 45.18 44.24
0.200 90 2.8274 0.0063 0.0061 0.0065 2.599 2.744 2.756 2.902 2.624 2.784 2.781 2.942 2.649 2.824 2.806 2.982 37.65 36.87
0.200 100 3.1416 0.0057 0.0054 0.0059 2.739 2.893 2.906 3.059 2.764 2.933 2.931 3.099 2.789 2.973 2.956 3.139 33.89 33.18
0.200 120 3.7699 0.0047 0.0045 0.0049 3.001 3.169 3.183 3.351 3.026 3.209 3.208 3.391 3.051 3.249 3.233 3.431 28.24 27.65
0.200 150 4.7124 0.0038 0.0036 0.0039 3.355 3.543 3.559 3.747 3.380 3.583 3.584 3.787 3.405 3.623 3.609 3.827 22.59 22.12
0.200 200 6.2832 0.0028 0.0027 0.0029 3.874 4.091 4.109 4.326 3.899 4.131 4.134 4.366 3.924 4.171 4.159 4.406 16.94 16.59
0.250 2 0.0982 0.1776 0.1706 0.1850 0.472 0.497 0.499 0.525 0.497 0.537 0.524 0.565 0.522 0.577 0.549 0.605 1085.74 1064.23
0.250 4 0.1963 0.0888 0.0853 0.0925 0.668 0.703 0.705 0.743 0.693 0.743 0.730 0.783 0.718 0.783 0.755 0.823 542.87 532.12
0.250 10 0.4909 0.0355 0.0341 0.0370 1.055 1.111 1.115 1.174 1.080 1.151 1.140 1.214 1.105 1.191 1.165 1.254 217.15 212.85
0.250 15 0.7363 0.0237 0.0227 0.0247 1.303 1.371 1.376 1.449 1.328 1.411 1.401 1.489 1.353 1.451 1.426 1.529 144.76 141.90
0.250 20 0.9817 0.0178 0.0171 0.0185 1.516 1.596 1.602 1.687 1.541 1.636 1.627 1.727 1.566 1.676 1.652 1.767 108.57 106.42
0.250 30 1.4726 0.0118 0.0114 0.0123 1.872 1.970 1.977 2.082 1.897 2.010 2.002 2.122 1.922 2.050 2.027 2.162 72.38 70.95
0.250 45 2.2089 0.0079 0.0076 0.0082 2.293 2.413 2.421 2.550 2.318 2.453 2.446 2.590 2.343 2.493 2.471 2.630 48.25 47.30
0.250 60 2.9452 0.0060 0.0058 0.0063 2.647 2.786 2.796 2.945 2.672 2.826 2.821 2.985 2.697 2.866 2.846 3.025 36.19 35.47
0.250 75 3.6816 0.0048 0.0046 0.0050 2.960 3.115 3.126 3.292 2.985 3.155 3.151 3.332 3.010 3.195 3.176 3.372 28.95 28.38
0.250 90 4.4179 0.0040 0.0039 0.0042 3.242 3.412 3.424 3.607 3.267 3.452 3.449 3.647 3.292 3.492 3.474 3.687 24.13 23.65
0.300 2 0.1414 0.1233 0.1191 0.1278 0.564 0.590 0.592 0.622 0.589 0.630 0.617 0.662 0.614 0.670 0.642 0.702 755.81 742.20
0.300 10 0.7069 0.0247 0.0238 0.0256 1.261 1.320 1.324 1.391 1.286 1.360 1.349 1.431 1.311 1.400 1.374 1.471 151.16 148.44
0.300 15 1.0603 0.0164 0.0159 0.0170 1.1557 1.630 1.635 1.718 1.582 1.670 1.660 1.758 1.607 1.710 1.685 1.798 100.78 98.96
0.300 20 1.4137 0.0123 0.0119 0.0128 1.812 1.897 1.903 1.999 1.837 1.937 1.928 2.039 1.862 1.977 1.953 2.079 75.58 74.22
0.300 30 2.1206 0.0082 0.0079 0.0085 2.236 2.342 2.349 2.468 2.261 2.382 2.374 2.508 2.286 2.422 2.399 2.548 50.39 49.48
0.300 45 3.1809 0.0055 0.0053 0.0057 2.739 2.868 2.876 3.022 2.764 2.908 2.901 3.062 2.789 2.948 2.926 3.102 33.59 32.99
0.300 60 4.2412 0.0042 0.0040 0.0043 3.163 3.312 3.321 3.490 3.188 3.352 3.346 3.530 3.213 3.392 3.371 3.570 25.19 24.74
0.300 75 5.3014 0.0034 0.0032 0.0035 3.536 3.702 3.714 3.902 3.561 3.742 3.739 3.942 3.586 3.782 3.764 3.982 20.16 19.79
0.300 90 6.3617 0.0028 0.0027 0.0029 3.874 4.056 4.068 4.274 3.899 4.096 4.093 4.314 3.924 4.136 4.118 4.354 16.80 16.49
0.355 4 0.3959 0.0440 0.0427 0.0454 0.938 0.980 0.983 1.028 0.963 1.020 1.008 1.068 0.988 1.060 1.033 1.108 270.56 266.11
0.355 6 0.5939 0.0294 0.0285 0.0303 1.148 1.200 1.203 1.258 1.173 1.240 1.228 1.298 1.198 1.280 1.253 1.338 180.38 177.40
0.355 10 0.9898 0.0176 0.0171 0.0182 1.482 1.550 1.553 1.625 1.507 1.590 1.578 1.665 1.532 1.630 1.603 1.705 108.23 106.44
0.355 15 1.4847 0.0117 0.0114 0.0121 1.830 1.913 1.918 2.006 1.855 1.953 1.943 2.046 1.880 1.993 1.968 2.086 72.15 70.96
0.355 20 1.9796 0.0088 0.0085 0.0091 2.130 2.226 2.232 2.334 2.155 2.266 2.257 2.374 2.180 2.306 2.282 2.414 54.11 53.22
0.355 30 2.9694 0.0059 0.0057 0.0061 2.629 2.748 2.755 2.881 2.654 2.788 2.780 2.921 2.679 2.828 2.805 2.961 36.08 35.48
0.355 45 4.4541 0.0039 0.0038 0.0040 3.220 3.366 3.374 3.529 3.245 3.406 3.399 3.569 3.270 3.446 3.424 3.609 24.05 23.65
0.355 60 5.9388 0.0030 0.0029 0.0031 3.718 3.887 3.897 4.075 3.743 3.927 3.922 4.115 3.768 3.967 3.947 4.155 18.04 17.74
0.400 4 0.5027 0.0347 0.0336 0.0359 1.053 1.098 1.100 1.148 1.078 1.138 1.125 1.188 1.103 1.178 1.150 1.228 213.47 210.19
0.400 6 0.7540 0.0231 0.0224 0.0239 1.289 1.344 1.347 1.405 1.314 1.384 1.372 1.445 1.339 1.424 1.397 1.485 142.31 140.12
0.400 10 1.2566 0.0139 0.0134 0.0144 1.664 1.735 1.739 1.814 1.689 1.775 1.764 1.854 1.714 1.815 1.789 1.894 85.39 84.07
0.400 15 1.8850 0.0092 0.0089 0.0096 2.054 2.142 2.147 2.240 2.079 2.182 2.172 2.280 2.104 2.222 2.197 2.230 56.92 56.05
0.400 20 2.5133 0.0069 0.0067 0.0072 2.391 2.493 2.499 2.607 2.416 2.533 2.524 2.647 2.441 2.573 2.549 2.687 42.69 42.04
0.400 30 3.7699 0.0046 0.0045 0.0048 2.952 3.078 3.085 3.218 2.977 3.118 3.110 3.258 3.002 3.158 3.135 3.298 28.46 28.02
0.400 35 4.3982 0.0040 0.0038 0.0041 3.188 3.324 3.332 3.476 3.213 3.364 3.357 3.516 3.238 3.404 3.382 3.556 24.40 24.02
0.500 4 0.7854 0.0222 0.0216 0.0228 1.310 1.360 1.363 1.415 1.335 1.400 1.388 1.455 1.360 1.440 1.413 1.495 136.92 135.07
0.500 6 1.1781 0.0148 0.0144 0.0152 1.604 1.666 1.669 1.733 1.629 1.706 1.694 1.773 1.654 1.746 1.719 1.813 91.28 90.05
0.500 10 1.9635 0.0089 0.0086 0.0091 2.071 2.150 2.154 2.237 2.096 2.190 2.179 2.277 2.121 2.230 2.204 2.317 54.77 54.03
0.500 15 2.9452 0.0059 0.0058 0.0061 2.557 2.655 2.660 2.762 2.582 2.695 2.685 2.802 2.607 2.735 2.710 2.842 36.51 36.00
0.500 20 3.9270 0.0044 0.0043 0.0046 2.976 3.090 3.095 3.215 3.001 3.130 3.120 3.255 3.026 3.170 3.145 3.295 27.38 27.01
0.500 30 5.8905 0.0030 0.0029 0.0030 3.674 3.814 3.821 3.968 3.699 3.854 3.846 4.008 3.724 3.894 3.871 4.048 18.26 18.01
0.500 35 6.8722 0.0025 0.0025 0.0026 3.968 4.119 4.127 4.286 3.993 4.159 4.152 4.326 4.018 4.199 4.177 4.366 15.65 15.44

Other dimensions and constructions on request.  All data are based on EN 60317-11.


EFOLIT®

EFOLIT® - Taped Reinforced Insulated High Frequency Litz Wires

General

The EFOLIT product family represents a triple insulated taped litz wire design with VDE-certification for reinforced insulation, which is necessary to certify products for high voltage applications. Litz wire diameters up to about 5.0 mm with temperature class 1) F/155°C and H/180°C cover a wide range of operating temperatures for various power applications.

According to specification:

DIN EN 61558, annex K
DIN EN 62368, annex J
DIN EN 60601, annex L

1) temperature class on basis of Heat-Shock Test

Features and benefits of EFOLIT® - litz wires

VDE-certified and tripple insulated EFOLIT-litz wires with self adhesive sPET, sPEN and sPI tape material allow very high break down voltages as well as high copper filling factor and flexibility 2). The requested long term high working voltage resistivity requires a very precise taping process assuring very small tolerances within one spool, one lot and different shipments. EFOLIT®-winding wires are optimized for high safety demands of coil constructions without or with reduced intermediate tape insulation, usually used for transformer designs aiming at simplified winding processes and reduction of dimension, weight and material.

2) customised designs with UL-approval on demand

Technical properties of EFOLIT® - litz wires

Operating range

Winding wires for reinforced insulation
Max. rated and peak voltage 1000 Vrms
1414 Vpeak
Max. frequency 500 kHz
Temperature class 1) F / 155 °C
H / 180 °C

Technical data of taping material

Self-adhesive tape sPET sPEN sPI
Description Polyester Polyethylene Naphtalate Polyimide
Permittivity (JIS C 2318) 3.2 2.9  
Tape - UL file no. 3) E 515235 E 515235 E 515235
Processing fusible fusible mechanical stripping

3) under reserve of changes and usage of optional materials

Product identification (coding)

Validated standards Code Temperature class Tape material
DIN EN IEC 61558, 62368, 60601
VDE-Reg. no. E078
(nom. test voltage: 5.5 kV)		 EFOLIT 11F class F - 155°C / 311°F sPET
EFOLIT 31F class F - 155°C / 311°F sPI
EFOLIT 22H class H - 180°C / 356°F sPEN
EFOLIT 32H class H - 180°C / 356°F sPI
DIN EN IEC 62368
VDE-Reg. no. E450 4)
(nom. test voltage: 3.0 kV)		 EFOLIT 13F class F - 155°C / 311°F sPET
EFOLIT 33F class F - 155°C / 311°F sPI
EFOLIT 24H class H - 180°C / 356°F sPEN
EFOLIT 34H class H - 180°C / 356°F sPI

4) also certified as basic insulation acc. DIN EN IEC 61558, annex K

Dimensional range

Winding wires for reinforced insulation
Diameter single conductor 0.020 - 0.300 mm
52 - 28 AWG
Outer diameter litz wire (approx.) 1.500 - 5.000 mm
21 - 7.5 AWG
Total copper cross section 0.41 - 9.42 mm2
Tape insulation (min.) 3 layers

Applications

  • Electric Vehicles (EV)
  • On-Board Charger (OBC)
  • DC/DC converter
  • Wireless charging (WPC)
  • Charging piles
  • Switch Mode Power Supplies (SMPS)
  • HF transformers
  • HF transducers
  • HF chokes

With Strain Relief

Litz Wire with Strain Relief

General

Some of the ultrafine litz wires are impacted by high mechanical forces during further processing and over their lifetime. Litz wire constructions starting from an available single conductor diameter of 0.01 mm (AWG 58) can be designed implementing strain reliefs to improve the resistivity of the litz wire against tensile stress. It is typically used in applications where litz wire is used not wound in a coil, but used like a cable.

Features and benefits of litz wires with strain

  • Excellent increase of tensile strength and flex life performance
  • Different strain relief materials can be selected for individual applications
  • Protection of super fine litz wires against mechanical stress
  • Strain reliefs can be used in all other litz wire constructions

Properties of litz wires with strain relief

Comparison of properties with a typical litz wire

Technical values of strain relief materials

Materials Polyester
PES		 Polymer
LCP		 Polyamide
Aramide
from
Gram per 10,000 m dtex 30 110 110
Tensile strength N 1.5 29.6 26.7
Elongation % 9.8 3.3 3.9
to
Gram per 10,000 m dtex 450 440 420
Tensile strength N 29.4 99.2 49.7
Elongation % 12.4 3.4 4.2

Dimensions of litz wire with strain relief

Dimensions
Diameter of single wire 0.020 - 0.500 mm
Number of single wires 2 - 5,000 pcs
Outer diameter of litz wire 0.020 - 2.5 mm

Served

Served Litz Wire

General

High frequency litz wire served with natural silk, polyester, or nylon is characterized by increased dimensional stability and mechanical protection. The optimized serving tension ensures high flexibility and splicing- or spring up prevention during the process of cutting the litz wire. This splicing effect can cause handing and contacting of the wire ends more difficult in post processing.

Features and benefits of served litz wires

  • Additional protection against mechanical stress
  • Excellent dimensional and physical stability
  • High flexibility
  • Splicing prevention
  • Good solderability above temperatures of 410 °C
  • Improved impregnation
  • Optimization of winding capacity
  • Serving material allows optimization of insulation distances

Technical properties of served litz wires

Technical values of serving material

Serving materials1) Silk Nylon Polyester*
Thermal properties
Recommended permanent use temperature 110 120 120 °C
Melting temperature - 250 - 260 250 - 260 °C
Elektrical properties
Dielektric constant ℇr 1.4 3.4 3.2
Mechanical properties
Elongation at break (dry) 13 - 25 25 - 46 20 %
Moisture absorption (65% rel. humidity, 21°C) 9 2.5 - 4 0.2 - 0.5 %
Other
Color white, green white white

Dimensions

Serving materials1) Silk Nylon Polyester*
Diameter of single wires2) 0.020 - 0.300 0.020 - 0.300 0.020 - 0.300 mm
Number of single wires3) 2 - 25,000 2 - 25,000 2 - 25,000 pcs
outer diameter of litz wires 0.071 - 4.0 0.071 - 10.0 0.071 - 4.0 mm
Number of layers (typ.) 1 - 2 1 - 2 1 - 2

* Available in Asia only
1) customized solution on demand (thermo adhesive yarns)
2) other diameters on demand
3) depending on number of single wires

Applications

  • HF transformers
  • HF in-/converters
  • HF transceivers
  • HF chokes
  • Inductive charger

Profiled

Profiled Litz Wire

General

Profiled (mechanically shaped) litz wires allow optimal utilization of available winding space due to the superior filling factor of  rectangular or square litz wire cross sections. In comparison to a standard round cross section construction, profiled litz wire can increase the filling factor up to 20%.

The design advantages of profiled litz wire can only be fully realized using products with consistent and precise dimensions. This dimensional stability is only possible with exact control of each process step.

Features and benefits of profiled litz wires

  • Increased filling factor of up to 20 %
  • Constant winding performance requiring tight dimensional tolerance and good flexibility
  • Profiled dimensions to customer specification
  • Profiling also possible with outer insulation

Technical properties of profiled litz wires

Increasing filling factor by profiling

Available insulation materials of profiled litz wires

For served litz wire:

Nylon

For taped litz wire:

Polyester (PET)

Polyethylene Naphthalate (PEN)

Polyimide (PI)

Dimensions
Smallest sizes (width x height) 1.2 x 1.2 mm
Biggest sizes 15.0 x 15.0 mm
Ratio (width x height) 1:1.7 mm
Tolerance (±) 0.1 mm
Diameter of single wires 0.050 - 0.500 mm

Other dimensions and materials on demand.

Applications

  • Wireless charging
  • Induction cooking hobs
  • HF transformers
  • HF transducers
  • E-motors

Extruded

Extruded Litz Wires

General

Extruded coatings applied to high frequency litz wires support increased flexibility, mechanical robustness, resistance to chemical substances, as well as electrical insulation. The flex life performance of extruded litz wire is improved considerably in comparison to standard constructions. Extrusion materials, wall thickness tolerance, and litz wire construction details can be selected and combined for optimal performance in a wide range of applications.


Features and benefits of extruded litz wires

  • High resistance to mechanical stress
  • Excellent flexibility
  • Good resistance against oil and grease
  • High dielectric strength
  • Solderable above 410°C

Technical properties of extruded litz wires

Extrusion materials

PA-F PA-M PA-T PB-A PB-B TPE-E TPE-F TPE-S
mod.
Polyamide		 mod.
Polyamide		 mod.
Polyamide		 Polyether
Block
Amide		 Polyether
Block
Amide		 Polyester-
Elastomer		 Polyester-
Elastomer,
flame
retardant		 Polyester-
Elastomer
Melting temperature, °C 170 - 180 175 - 185 170 - 180 155 - 165 165 - 175 205 - 230 205 - 230 125
Max. usage temperature, °C 90 90 115 100 120 140 140 90
Min. breakdown voltage, kV * 4 3 3 3 3 3,5 3 3
Color transparent transparent transparent transparent transparent transparent white white
* at wall thickness of 0.2mm

Dimensions
Diameter of sigle wires 0.032 - 0.50 mm
Outer diameter of litz wire 0.5 - 3.5 mm

Applications

  • Resistance wires for heating applications
  • Smart Textiles
  • Hearing Aids

Taped

Taped Litz Wires

General

Taped high frequency litz wire constructions are mainly suitable for applications requiring high break down voltage. Taping improves the capability to withstand flexing and mechanical stress. Adhesive taped litz wire can be achieved by using thermally sealed or self adhesive tape. This ensures protection against re-opening during and after manufacturing processes and thus secures the compliance with defined creepage distance. 

Some tapes can be thermally sealed when used in conjunction with certain wire enamel types.

Excellent adhesion and bonding characteristics to the individual wires are possible. A wide range of thermally sealable tapes can be selected for special applications all promoting various degrees of flexibility and mechanical protection for the litz wire construction.

Features and benefits of taped litz wires

Variants Dielectric strength Flexibility Splicing Contacting
Standard high very good good very good
Thermally Sealed elevated medium very good very good
Self-Adhesive very high good very good good

Technical data sheet of different tapes

Taping materials PET PEN PI
Description Polyester Polyethylene Naphtalate Polyimide
Color transparent transparent brown
Standard PET PEN PI
Insulation class (UL) °C 105 (A) 180 (H) 200 (C)
Insulation class (VDE) °C 130 (B) - 200 (C)
Dielectric constant ℇr 3.3
(VDE 0345)		 2.8
(JIS C 2318)		 3.4
(ASTM D 150-92)
Flammability 400
(VDE 0345)		 VT-M
(UL 94)		 V-0
(IEC 60695-11-10, UL 94)
UL-file no., tapes E53895 E206562 E39505
Processing fusible fusible mechanical stripping
Thermally Sealed
Insulation class (UL) °C 13 - 25 - 20
Insulation class (VDE) °C 9 - 0.2 - 0.5
Dielectric constant ℇr 3.25
(ASTM D 150-81)		 - 3.4
(ASTM D 150-92)
Flammability n.a. - V-0
(IEC 60695-11-10, UL 94)
UL-file no., tapes E93687 - E39505
Processing fusible fusible mechanical stripping
Self Adhesive
Insulation class (UL) °C 130 (B) 180 (H) 180 (H)
Dielectric constant ℇr 3.2
(JIS C 2318)		 2.8
(JIS C 2318)		 3.3
(JIS C 2318)
Flammability - flame retardant
(internal test acc. UL 510)		 flame retardant
(internal test acc. UL 510)
UL-file no., tapes E515235 E515235 E515235
Processing fusible fusible mechanical stripping
Custom materials can be arranged

Degree of overlapping

The degree of overlapping of two adjacent tape windings is defined by the gradient angle between tape and litz wire during the taping process. The overlapping determines the number of tape layers located on top of each other and thus the thickness of the insulation.


Dimensions
Diameter of single wires 0.040 - 0.700 mm
Outer diameter of litz wire 0.5 - 20.0 mm
Overlapping (typical) 50 or 67 %
Number of tapes (typical) 1 - 2

Applications

  • EV (Electric Vehicles)
  • OBC (Onboard charger)
  • DC/DC converter
  • Wireless charging
  • Charging piles
  • SMPS (Switch Mode Power Supplies)
  • HF transformers
  • HF transducers
  • HF chokes

Special constructions with VDE-approval for high voltage applications available:

GotoEFOLIT®-product family

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