华巨电子是专业的热敏电阻厂家，3D打印是目前比较热门的产品，从普通消费品到航空航天，再到人体生命，3D打印几乎无所不能，但是3D打印机的挤出头确实3D打印机的关键部位，如何能保护好3D打印机的挤出头不被高温损坏，这里就要求有一个高可靠性的温度传感器，华巨电子在这一方面是同行业领先的，华巨电子生产的用于3D打印机挤出头的热敏电阻在3D打印机中有着广泛的应用，得到客户的好评，其高温稳定性和测温精度都是同行中做好的，华巨电子生产的3D打印机NTC温度传感器测温范围可达（-50~350℃）,3D打印机通常用NTC的热敏电阻, 且因為喷嘴工作温度大约在200℃左右, （华巨电子生产的3D打印机用热敏电阻工作温度范围是（-50~350℃）远远超过3D打印机挤出头的温度）所以所用的热敏电阻至少要耐温到250℃左右。
市面上很多温度传感器达不到250度, 往往会, 装上去时温度好像是对的, 可是到了150℃左右温度显示却上不去, 喷嘴都热到冒泡了, 也出现了焦味(热敏电阻被烤焦了), 显示温度是错的!
另一个重要的参数是B值, 它表示热敏电阻随温度变化的程℃, 公式如下:
R(t) = R0 * Exp(B*((1/t) - (1/t0)))
其中R0表示在温度t0时的阻值, 一般常见如25℃下100K或10K等等不同的阻值。
R(t)则表示在温度t时的阻值, 其中 t 和 t0 都要用凯氏温度表示, 所以等於是273.13加上摄氏温度。
知道 t0, R0, 和 B 值, 将公式输入Excel就可以由 R(t) 算出 t 值。
在3D打印机里面, 这个热敏电阻会串一个pull-high电阻, 通常是4.7K ohm, 然后由ADC读出分压即可算出阻值; 知道阻值就等於知道了温度。
例如若采用100K, B值為3950的热敏电阻, 则在100℃时可算出R(t)=6.97K ohm, 再和4.7K ohm做分压, 由10bit ADC读出值為611。
基本上这就是打印机感应喷嘴上温度的方式, 这部份会直接对应到firmware的原始码中。了解了这样, 万一找不到和原来一模一样规格的热敏电阻, 自己改firmware也是可以的。
基本理论知道了, 接下来就是实作。
先看一下我找到的热敏电阻, 长这样, 是玻璃封装的。
它的资料如下:
资料：负温度系数（NTC）热敏电阻
型号：MF51-104F3950FA-1.25
R @ 25：K100K 1％
B25/50：K3950 1％
元素：单端玻封热敏电阻
特性
1）电气特性
A：电阻值：R（25°C）= 100K±1％
B：B值：B=3950±1％（在25℃和50℃的电阻值计算出）
C：绝缘电阻50MΩ或以上DC500V兆欧表（玻璃和引线之间）
2）热时间常数（τ）：τ≤6S（在静止空气中）
3）热耗散系数（δ）：δ=1.1~1.6MW/°C（在静止空气中）
4）工作温度范围：-50~ 350°C
换电阻只要两个焊点, 其实也非常简单。要注意的是要用铁氟龙套管把电阻两端做好绝缘, 并做好固定。
固定的材料当然也是要选择耐热的, 原来的设计是用石绵(应该是吧)衬垫夹住热敏电阻, 但那个衬垫在我拆装几次后就已经破烂到无法使用了。在这个步骤我花了很多时间, 最后还是用铁氟龙胶带从旁边固定, 让热敏电阻直接靠在加热片上。
把热敏电阻固定好, 喷嘴装回去, 硬体部份就大功告成了。注意装的时候喷嘴要锁紧, 否则材料会溢出直接在加热片上加热!
1、Specifications
MF51-104F3950FA-1.25 | |||||
NTC Thermistor | Resistance value | B value | |||
100kΩ | ±1% | 3950 | ±1% | B25/50 | |
4、Electrical characteristics电性能
Item 项目 | Symbol符号 | Test Condition 测试条件 | Min. 最小值 | Nor. 正常值 | Max. 最大值 | Unit 单位 | |
a | Resistance at 25°C 25°C电阻值 | R25 | 25±0.05°C | 99 | 100 | 101 | kΩ |
b | Bvalue B值 | B25/50 |
| 3910 | 3950 | 3990 | k |
c | Insulation resistance 绝缘电阻 | / | 500VDC | 50 | / | / | MΩ |
d | Thermal time constant 热时间常数 | τ | in still air 静止空气中 | / | / | 6 | sec |
e | Thermal dissipation constant 热耗散系数 | δ | in still air 静止空气中 | 1.0 | / | / | mw/°C |
f | Operating temperature range 使用温度范围 | / | / | -50 | / | 350 | °C |
5、Reliability可靠性
Item 项目 | Specification 技术说明 | Method of Examination 测试条件及方法 | |
5.1 | high Temp. storage高温存放 | *ΔR25/ R25≤±2% | After storeage at 250°C for 1000hrs 250°C环境中放置1000小时 |
5.2 | Low Temp. storage 低温存放 | After storeage at -40°C for 1000hrs -40°C环境中放置1000小时 | |
5.3 | High temperature and humidity 耐湿热 | After storeage at 60°C 95%RH for 1000hrs 60°C 95%RH存放1000小时 | |
5.4 | Thermal shock 耐温度冲击 | *ΔR25/ R25≤±2%
| 100 cycles of following sequence -40°C 10min.---5min. room temp. ---200°C 10min.---5 min. room temp. 经历如下温度循环100次 -40°C10分钟---常温5分钟---200°C10分钟---常温5分钟 |
5.5 | Vibration 振动 | * no visible damage 无损伤 *ΔR25/ R25≤±2% | After vibrate test , Frequence 10-500Hz 15min.max amplitude 1.5mm ,in X and Y directions 振幅1.5mm频率10Hz到500Hz 元件受振动试验X、Y方向各15分钟 |
5.6 | Pulling 引线强度 | * no visible damage 无损伤 *ΔR25/ R25≤±2% | After applling a force of 2.0N in the axial direction of thermistor, and maintain the force for 10sec. 引线方向施加2.0N拉力，并持续10秒 |
5.7 | Fall down 跌落 | * no visible damage 无损伤 *ΔR25/ R25≤±2% | After dropped freely onto wood floor from 1 meter height for 10 times 从1米高度自由落下10次在规定的木板上 |
阻温特性表
TEMPERATURE VS RESISTANCE TABLE
Resistance 100k Ohms at 25deg. C
Resistance Tolerance + / - 1 %
B Value 3950K at 25/50 deg. C
B Value Tolerance + / - 1 %
Temp. (deg. C) | Rmax (k Ohms) | Rnor (k Ohms) | Rmin (k Ohms) |
-30 | 1858.6927 | 1787.9797 | 1719.7849 |
-29 | 1744.9370 | 1679.6017 | 1616.5510 |
-28 | 1638.8912 | 1578.5061 | 1520.1940 |
-27 | 1539.9847 | 1484.1584 | 1430.2129 |
-26 | 1447.6929 | 1396.0662 | 1346.1459 |
-25 | 1361.5315 | 1313.7754 | 1267.5675 |
-24 | 1281.0560 | 1236.8685 | 1194.0856 |
-23 | 1205.8561 | 1164.9598 | 1125.3381 |
-22 | 1135.5532 | 1097.6941 | 1060.9911 |
-21 | 1069.7992 | 1034.7432 | 1000.7358 |
-20 | 1008.2715 | 975.8038 | 944.2871 |
-19 | 950.6732 | 920.5962 | 891.3817 |
-18 | 896.7294 | 868.8615 | 841.7754 |
-17 | 846.1864 | 820.3603 | 795.2428 |
-16 | 798.8093 | 774.8710 | 751.5750 |
-15 | 754.3810 | 732.1889 | 710.5786 |
-14 | 712.7005 | 692.1238 | 672.0741 |
-13 | 673.5814 | 654.4999 | 635.8954 |
-12 | 636.8513 | 619.1540 | 601.8883 |
-11 | 602.3502 | 585.9346 | 569.9095 |
-10 | 569.9298 | 554.7016 | 539.8262 |
-9 | 539.4526 | 525.3245 | 511.5153 |
-8 | 510.7906 | 497.6821 | 484.8615 |
-7 | 483.8254 | 471.6621 | 459.7586 |
-6 | 458.4467 | 447.1599 | 436.1073 |
-5 | 434.5519 | 424.0781 | 413.8153 |
-4 | 412.0460 | 402.3264 | 392.7968 |
-3 | 390.8401 | 381.8204 | 372.9716 |
-2 | 370.8519 | 362.4818 | 354.2653 |
-1 | 352.0045 | 344.2375 | 336.6083 |
0 | 334.2264 | 327.0195 | 319.9360 |
1 | 317.4508 | 310.7640 | 304.1877 |
2 | 301.6157 | 295.4121 | 289.3072 |
3 | 286.6631 | 280.9084 | 275.2418 |
4 | 272.5389 | 267.2014 | 261.9423 |
5 | 259.1926 | 254.2428 | 249.3626 |
6 | 246.5770 | 241.9877 | 237.4601 |
7 | 234.6482 | 230.3940 | 226.1943 |
8 | 223.3650 | 219.4224 | 215.5278 |
9 | 212.6890 | 209.0361 | 205.4255 |
10 | 202.5840 | 199.2007 | 195.8544 |
11 | 193.0167 | 189.8841 | 186.7836 |
12 | 183.9552 | 181.0559 | 178.1844 |
13 | 175.3704 | 172.6881 | 170.0298 |
14 | 167.2345 | 164.7540 | 162.2942 |
15 | 159.5216 | 157.2290 | 154.9539 |
16 | 152.2075 | 150.0898 | 147.9867 |
17 | 145.2694 | 143.3144 | 141.3716 |
18 | 138.6861 | 136.8825 | 135.0889 |
19 | 132.4375 | 130.7749 | 129.1202 |
20 | 126.5049 | 124.9734 | 123.4482 |
21 | 120.8705 | 119.4612 | 118.0564 |
22 | 115.5180 | 114.2223 | 112.9298 |
23 | 110.4316 | 109.2417 | 108.0537 |
24 | 105.5969 | 104.5053 | 103.4147 |
25 | 101.0000 | 100.0000 | 99.0000 |
26 | 96.7127 | 95.7132 | 94.7146 |
27 | 92.6306 | 91.6333 | 90.6378 |
28 | 88.7426 | 87.7492 | 86.7583 |
29 | 85.0386 | 84.0505 | 83.0655 |
30 | 81.5090 | 80.5274 | 79.5497 |
31 | 78.1446 | 77.1707 | 76.2012 |
32 | 74.9370 | 73.9717 | 73.0115 |
33 | 71.8779 | 70.9222 | 69.9721 |
34 | 68.9598 | 68.0144 | 67.0752 |
35 | 66.1755 | 65.2411 | 64.3134 |
36 | 63.5182 | 62.5954 | 61.6798 |
37 | 60.9814 | 60.0707 | 59.1677 |
38 | 58.5591 | 57.6610 | 56.7710 |
39 | 56.2456 | 55.3604 | 54.4837 |
40 | 54.0355 | 53.1635 | 52.3004 |
41 | 51.9235 | 51.0651 | 50.2158 |
42 | 49.9049 | 49.0602 | 48.2250 |
43 | 47.9752 | 47.1443 | 46.3232 |
44 | 46.1298 | 45.3130 | 44.5062 |
45 | 44.3649 | 43.5621 | 42.7696 |
46 | 42.6764 | 41.8878 | 41.1096 |
47 | 41.0607 | 40.2862 | 39.5224 |
48 | 39.5143 | 38.7539 | 38.0044 |
49 | 38.0339 | 37.2876 | 36.5524 |
50 | 36.6163 | 35.8842 | 35.1631 |
51 | 35.2587 | 34.5405 | 33.8335 |
52 | 33.9582 | 33.2538 | 32.5608 |
53 | 32.7121 | 32.0214 | 31.3423 |
54 | 31.5178 | 30.8408 | 30.1754 |
55 | 30.3731 | 29.7096 | 29.0576 |
56 | 29.2755 | 28.6253 | 27.9868 |
57 | 28.2230 | 27.5860 | 26.9607 |
58 | 27.2135 | 26.5895 | 25.9772 |
59 | 26.2450 | 25.6338 | 25.0343 |
60 | 25.3156 | 24.7171 | 24.1303 |
61 | 24.4237 | 23.8376 | 23.2633 |
62 | 23.5675 | 22.9937 | 22.4315 |
63 | 22.7454 | 22.1836 | 21.6336 |
64 | 21.9560 | 21.4061 | 20.8678 |
65 | 21.1977 | 20.6594 | 20.1328 |
66 | 20.4692 | 19.9424 | 19.4272 |
67 | 19.7693 | 19.2537 | 18.7497 |
68 | 19.0966 | 18.5920 | 18.0990 |
69 | 18.4499 | 17.9562 | 17.4740 |
70 | 17.8282 | 17.3452 | 16.8735 |
71 | 17.2304 | 16.7578 | 16.2965 |
72 | 16.6554 | 16.1930 | 15.7419 |
73 | 16.1023 | 15.6499 | 15.2087 |
74 | 15.5702 | 15.1276 | 14.6961 |
75 | 15.0581 | 14.6251 | 14.2032 |
76 | 14.5652 | 14.1417 | 13.7291 |
77 | 14.0907 | 13.6764 | 13.2729 |
78 | 13.6339 | 13.2286 | 12.8341 |
79 | 13.1940 | 12.7976 | 12.4118 |
80 | 12.7703 | 12.3825 | 12.0053 |
81 | 12.3622 | 11.9828 | 11.6139 |
82 | 11.9689 | 11.5978 | 11.2372 |
83 | 11.5900 | 11.2270 | 10.8743 |
84 | 11.2247 | 10.8697 | 10.5248 |
85 | 10.8727 | 10.5254 | 10.1881 |
86 | 10.5332 | 10.1935 | 9.8637 |
87 | 10.2059 | 9.8736 | 9.5511 |
88 | 9.8902 | 9.5652 | 9.2499 |
89 | 9.5858 | 9.2678 | 8.9594 |
90 | 9.2920 | 8.9809 | 8.6794 |
91 | 9.0085 | 8.7042 | 8.4094 |
92 | 8.7350 | 8.4373 | 8.1489 |
93 | 8.4710 | 8.1797 | 7.8977 |
94 | 8.2161 | 7.9312 | 7.6554 |
95 | 7.9700 | 7.6912 | 7.4215 |
96 | 7.7324 | 7.4596 | 7.1958 |
97 | 7.5029 | 7.2360 | 6.9780 |
98 | 7.2812 | 7.0201 | 6.7677 |
99 | 7.0670 | 6.8115 | 6.5647 |
100 | 6.8601 | 6.6101 | 6.3686 |
101 | 6.6601 | 6.4155 | 6.1793 |
102 | 6.4668 | 6.2274 | 5.9964 |
103 | 6.2799 | 6.0457 | 5.8197 |
104 | 6.0993 | 5.8701 | 5.6489 |
105 | 5.9246 | 5.7003 | 5.4839 |
106 | 5.7557 | 5.5362 | 5.3245 |
107 | 5.5923 | 5.3775 | 5.1703 |
108 | 5.4343 | 5.2240 | 5.0213 |
109 | 5.2814 | 5.0755 | 4.8772 |
110 | 5.1334 | 4.9319 | 4.7379 |
111 | 4.9903 | 4.7930 | 4.6031 |
112 | 4.8517 | 4.6586 | 4.4727 |
113 | 4.7175 | 4.5285 | 4.3466 |
114 | 4.5877 | 4.4026 | 4.2245 |
115 | 4.4619 | 4.2807 | 4.1064 |
116 | 4.3401 | 4.1627 | 3.9921 |
117 | 4.2222 | 4.0484 | 3.8815 |
118 | 4.1079 | 3.9378 | 3.7743 |
119 | 3.9972 | 3.8306 | 3.6706 |
120 | 3.8900 | 3.7268 | 3.5702 |
121 | 3.7861 | 3.6263 | 3.4729 |
122 | 3.6854 | 3.5289 | 3.3787 |
123 | 3.5877 | 3.4345 | 3.2874 |
124 | 3.4931 | 3.3430 | 3.1990 |
125 | 3.4014 | 3.2543 | 3.1133 |
126 | 3.3124 | 3.1683 | 3.0302 |
127 | 3.2261 | 3.0850 | 2.9497 |
128 | 3.1424 | 3.0042 | 2.8717 |
129 | 3.0613 | 2.9258 | 2.7960 |
130 | 2.9825 | 2.8498 | 2.7227 |
131 | 2.9061 | 2.7761 | 2.6515 |
132 | 2.8320 | 2.7045 | 2.5826 |
133 | 2.7601 | 2.6352 | 2.5157 |
134 | 2.6902 | 2.5678 | 2.4507 |
135 | 2.6225 | 2.5025 | 2.3878 |
136 | 2.5567 | 2.4391 | 2.3267 |
137 | 2.4928 | 2.3775 | 2.2674 |
138 | 2.4308 | 2.3178 | 2.2098 |
139 | 2.3705 | 2.2598 | 2.1540 |
140 | 2.3120 | 2.2034 | 2.0997 |
141 | 2.2552 | 2.1487 | 2.0471 |
142 | 2.2000 | 2.0956 | 1.9960 |
143 | 2.1463 | 2.0440 | 1.9463 |
144 | 2.0942 | 1.9939 | 1.8981 |
145 | 2.0436 | 1.9452 | 1.8513 |
146 | 1.9943 | 1.8978 | 1.8058 |
147 | 1.9465 | 1.8518 | 1.7616 |
148 | 1.9000 | 1.8071 | 1.7187 |
149 | 1.8547 | 1.7637 | 1.6770 |
150 | 1.8108 | 1.7215 | 1.6364 |
151 | 1.7680 | 1.6804 | 1.5970 |
152 | 1.7264 | 1.6405 | 1.5587 |
153 | 1.6860 | 1.6017 | 1.5215 |
154 | 1.6467 | 1.5640 | 1.4853 |
155 | 1.6084 | 1.5273 | 1.4501 |
156 | 1.5712 | 1.4915 | 1.4158 |
157 | 1.5349 | 1.4568 | 1.3825 |
158 | 1.4997 | 1.4230 | 1.3501 |
159 | 1.4654 | 1.3901 | 1.3186 |
160 | 1.4320 | 1.3582 | 1.2880 |
161 | 1.3995 | 1.3270 | 1.2582 |
162 | 1.3678 | 1.2967 | 1.2292 |
163 | 1.3370 | 1.2672 | 1.2009 |
164 | 1.3070 | 1.2385 | 1.1734 |
165 | 1.2778 | 1.2106 | 1.1467 |
166 | 1.2494 | 1.1833 | 1.1207 |
167 | 1.2217 | 1.1568 | 1.0953 |
168 | 1.1947 | 1.1310 | 1.0706 |
169 | 1.1684 | 1.1059 | 1.0466 |
170 | 1.1428 | 1.0814 | 1.0232 |
171 | 1.1179 | 1.0576 | 1.0004 |
172 | 1.0935 | 1.0343 | 0.9782 |
173 | 1.0698 | 1.0117 | 0.9566 |
174 | 1.0467 | 0.9896 | 0.9355 |
175 | 1.0242 | 0.9681 | 0.9150 |
176 | 1.0023 | 0.9472 | 0.8950 |
177 | 0.9809 | 0.9268 | 0.8756 |
178 | 0.9601 | 0.9069 | 0.8566 |
179 | 0.9397 | 0.8875 | 0.8381 |
180 | 0.9199 | 0.8686 | 0.8200 |
181 | 0.9006 | 0.8501 | 0.8024 |
182 | 0.8817 | 0.8321 | 0.7853 |
183 | 0.8633 | 0.8146 | 0.7686 |
184 | 0.8454 | 0.7975 | 0.7523 |
185 | 0.8279 | 0.7808 | 0.7364 |
186 | 0.8108 | 0.7646 | 0.7209 |
187 | 0.7941 | 0.7487 | 0.7058 |
188 | 0.7779 | 0.7332 | 0.6911 |
189 | 0.7620 | 0.7181 | 0.6767 |
190 | 0.7465 | 0.7034 | 0.6627 |
191 | 0.7314 | 0.6890 | 0.6490 |
192 | 0.7166 | 0.6749 | 0.6356 |
193 | 0.7022 | 0.6612 | 0.6226 |
194 | 0.6882 | 0.6479 | 0.6099 |
195 | 0.6744 | 0.6348 | 0.5975 |
196 | 0.6610 | 0.6221 | 0.5853 |
197 | 0.6479 | 0.6096 | 0.5735 |
198 | 0.6351 | 0.5975 | 0.5620 |
199 | 0.6227 | 0.5856 | 0.5507 |
200 | 0.6105 | 0.5740 | 0.5397 |
201 | 0.5985 | 0.5627 | 0.5290 |
202 | 0.5869 | 0.5517 | 0.5185 |
203 | 0.5755 | 0.5409 | 0.5082 |
204 | 0.5644 | 0.5303 | 0.4982 |
205 | 0.5536 | 0.5200 | 0.4884 |
206 | 0.5430 | 0.5099 | 0.4789 |
207 | 0.5326 | 0.5001 | 0.4696 |
208 | 0.5225 | 0.4905 | 0.4604 |
209 | 0.5126 | 0.4811 | 0.4515 |
210 | 0.5029 | 0.4719 | 0.4428 |
211 | 0.4934 | 0.4630 | 0.4343 |
212 | 0.4842 | 0.4542 | 0.4260 |
213 | 0.4751 | 0.4456 | 0.4179 |
214 | 0.4663 | 0.4372 | 0.4100 |
215 | 0.4576 | 0.4290 | 0.4022 |
216 | 0.4492 | 0.4210 | 0.3946 |
217 | 0.4409 | 0.4132 | 0.3872 |
218 | 0.4328 | 0.4055 | 0.3800 |
219 | 0.4249 | 0.3980 | 0.3729 |
220 | 0.4171 | 0.3907 | 0.3660 |
221 | 0.4096 | 0.3836 | 0.3592 |
222 | 0.4021 | 0.3765 | 0.3525 |
223 | 0.3949 | 0.3697 | 0.3461 |
224 | 0.3878 | 0.3630 | 0.3397 |
225 | 0.3809 | 0.3564 | 0.3335 |
226 | 0.3741 | 0.3500 | 0.3274 |
227 | 0.3674 | 0.3437 | 0.3215 |
228 | 0.3609 | 0.3376 | 0.3157 |
229 | 0.3545 | 0.3315 | 0.3100 |
230 | 0.3483 | 0.3257 | 0.3045 |
231 | 0.3422 | 0.3199 | 0.2990 |
232 | 0.3362 | 0.3142 | 0.2937 |
233 | 0.3304 | 0.3087 | 0.2885 |
234 | 0.3246 | 0.3033 | 0.2834 |
235 | 0.3190 | 0.2980 | 0.2784 |
236 | 0.3135 | 0.2928 | 0.2735 |
237 | 0.3081 | 0.2878 | 0.2687 |
238 | 0.3029 | 0.2828 | 0.2640 |
239 | 0.2977 | 0.2779 | 0.2594 |
240 | 0.2927 | 0.2732 | 0.2549 |
241 | 0.2877 | 0.2685 | 0.2505 |
242 | 0.2829 | 0.2639 | 0.2462 |
243 | 0.2781 | 0.2594 | 0.2420 |
244 | 0.2734 | 0.2550 | 0.2379 |
245 | 0.2689 | 0.2507 | 0.2338 |
246 | 0.2644 | 0.2465 | 0.2298 |
247 | 0.2600 | 0.2424 | 0.2259 |
248 | 0.2557 | 0.2384 | 0.2221 |
249 | 0.2515 | 0.2344 | 0.2184 |
250 | 0.2474 | 0.2305 | 0.2148 |
251 | 0.2433 | 0.2267 | 0.2112 |
252 | 0.2394 | 0.2230 | 0.2077 |
253 | 0.2355 | 0.2193 | 0.2042 |
254 | 0.2317 | 0.2157 | 0.2009 |
255 | 0.2279 | 0.2122 | 0.1976 |
256 | 0.2243 | 0.2088 | 0.1943 |
257 | 0.2207 | 0.2054 | 0.1911 |
258 | 0.2172 | 0.2021 | 0.1880 |
259 | 0.2137 | 0.1988 | 0.1850 |
260 | 0.2103 | 0.1957 | 0.1820 |
261 | 0.2070 | 0.1925 | 0.1791 |
262 | 0.2037 | 0.1895 | 0.1762 |
263 | 0.2005 | 0.1865 | 0.1734 |
264 | 0.1974 | 0.1835 | 0.1706 |
265 | 0.1943 | 0.1806 | 0.1679 |
266 | 0.1913 | 0.1778 | 0.1652 |
267 | 0.1884 | 0.1750 | 0.1626 |
268 | 0.1855 | 0.1723 | 0.1601 |
269 | 0.1826 | 0.1696 | 0.1575 |
270 | 0.1798 | 0.1670 | 0.1551 |
271 | 0.1771 | 0.1644 | 0.1527 |
272 | 0.1744 | 0.1619 | 0.1503 |
273 | 0.1717 | 0.1594 | 0.1480 |
274 | 0.1691 | 0.1570 | 0.1457 |
275 | 0.1666 | 0.1546 | 0.1435 |
276 | 0.1641 | 0.1522 | 0.1413 |
277 | 0.1616 | 0.1499 | 0.1391 |
278 | 0.1592 | 0.1477 | 0.1370 |
279 | 0.1568 | 0.1455 | 0.1349 |
280 | 0.1545 | 0.1433 | 0.1329 |
281 | 0.1522 | 0.1412 | 0.1309 |
282 | 0.1500 | 0.1391 | 0.1289 |
283 | 0.1478 | 0.1370 | 0.1270 |
284 | 0.1456 | 0.1350 | 0.1251 |
285 | 0.1435 | 0.1330 | 0.1232 |
286 | 0.1414 | 0.1310 | 0.1214 |
287 | 0.1394 | 0.1291 | 0.1196 |
288 | 0.1374 | 0.1272 | 0.1179 |
289 | 0.1354 | 0.1254 | 0.1161 |
290 | 0.1335 | 0.1236 | 0.1144 |
291 | 0.1316 | 0.1218 | 0.1128 |
292 | 0.1297 | 0.1201 | 0.1111 |
293 | 0.1279 | 0.1183 | 0.1095 |
294 | 0.1260 | 0.1166 | 0.1079 |
295 | 0.1243 | 0.1150 | 0.1064 |
296 | 0.1225 | 0.1134 | 0.1049 |
297 | 0.1208 | 0.1118 | 0.1034 |
298 | 0.1191 | 0.1102 | 0.1019 |
299 | 0.1175 | 0.1086 | 0.1005 |
300 | 0.1158 | 0.1071 | 0.0990 |
301 | 0.1142 | 0.1056 | 0.0976 |
302 | 0.1127 | 0.1042 | 0.0963 |
303 | 0.1111 | 0.1027 | 0.0949 |
304 | 0.1096 | 0.1013 | 0.0936 |
305 | 0.1081 | 0.0999 | 0.0923 |
306 | 0.1067 | 0.0985 | 0.0910 |
307 | 0.1052 | 0.0972 | 0.0898 |
308 | 0.1038 | 0.0959 | 0.0885 |
309 | 0.1024 | 0.0946 | 0.0873 |
310 | 0.1010 | 0.0933 | 0.0861 |
311 | 0.0997 | 0.0920 | 0.0850 |
312 | 0.0983 | 0.0908 | 0.0838 |
313 | 0.0970 | 0.0896 | 0.0827 |
314 | 0.0958 | 0.0884 | 0.0816 |
315 | 0.0945 | 0.0872 | 0.0805 |
316 | 0.0933 | 0.0860 | 0.0794 |
317 | 0.0920 | 0.0849 | 0.0783 |
318 | 0.0908 | 0.0838 | 0.0773 |
319 | 0.0897 | 0.0827 | 0.0763 |
320 | 0.0885 | 0.0816 | 0.0752 |
321 | 0.0874 | 0.0805 | 0.0743 |
322 | 0.0862 | 0.0795 | 0.0733 |
323 | 0.0851 | 0.0785 | 0.0723 |
324 | 0.0840 | 0.0775 | 0.0714 |
325 | 0.0830 | 0.0765 | 0.0704 |
326 | 0.0819 | 0.0755 | 0.0695 |
327 | 0.0809 | 0.0745 | 0.0686 |
328 | 0.0799 | 0.0736 | 0.0678 |
329 | 0.0788 | 0.0726 | 0.0669 |
330 | 0.0779 | 0.0717 | 0.0660 |
331 | 0.0769 | 0.0708 | 0.0652 |
332 | 0.0759 | 0.0699 | 0.0644 |
333 | 0.0750 | 0.0690 | 0.0635 |
334 | 0.0741 | 0.0682 | 0.0627 |
335 | 0.0731 | 0.0673 | 0.0620 |
336 | 0.0722 | 0.0665 | 0.0612 |
337 | 0.0714 | 0.0657 | 0.0604 |
338 | 0.0705 | 0.0649 | 0.0597 |
339 | 0.0696 | 0.0641 | 0.0589 |
340 | 0.0688 | 0.0633 | 0.0582 |
341 | 0.0680 | 0.0625 | 0.0575 |
342 | 0.0671 | 0.0617 | 0.0568 |
343 | 0.0663 | 0.0610 | 0.0561 |
344 | 0.0655 | 0.0603 | 0.0554 |
345 | 0.0648 | 0.0595 | 0.0547 |
346 | 0.0640 | 0.0588 | 0.0541 |
347 | 0.0632 | 0.0581 | 0.0534 |
348 | 0.0625 | 0.0574 | 0.0528 |
349 | 0.0618 | 0.0567 | 0.0521 |
350 | 0.0610 | 0.0561 | 0.0515 |
