Table I
ℛλ =c 1 λ−5 (e c 2 /λT −1)−1 ;
ℛ
0
-
λ
=
∫
0
λ
ℛ
λ
d
λ
;
N
λ
=
2
π
c
λ
-
4
(
e
c
2
/
λ
T
-
1
)
-
1
;
N
0
-
λ
=
∫
0
λ
N
λ
d
λ .*
λT in cm K°
ℛ
0
-
λ
ℛ
0
-
∞
=
F
×
10
-
p
ℛ
λ
ℛ
λ
max
=
f
×
10
-
q
N
0
-
λ
N
0
-
∞
=
G
×
10
-
p
N
λ
N
λ
max
=
g
×
10
-
q
F p f q Δf δ 2 f G p g q Δg δ 2 g
0.050 1.3652 9 3.1018 7 1.8320 0.6398 1.2379 10 4.7906 8 2.9818 1.0815 .051 2.2642 9 4.9339 7 2.7606 0.9286 2.0924 10 7.7724 8 4.5866 1.6048 .052 3.6788 9 7.6945 7 4.0844 1.3238 3.4638 10 1.2359 7 0.6924 0.2338 .053 5.8629 9 1.1779 6 0.5939 0.1855 5.6220 10 1.9283 7 1.0271 0.3346 .054 9.1749 9 1.7718 6 0.8497 0.2558 8.9571 10 2.9554 7 1.4983 0.4712 .055 1.4113 8 2.6216 6 1.1971 0.3474 1.4022 9 4.4537 7 2.1517 0.6534 .056 2.1358 8 3.8187 6 1.6623 0.4652 2.1590 9 6.6054 7 3.0447 0.8929 .057 3.1829 8 5.4810 6 2.2767 0.6144 3.2723 9 9.6501 7 4.2482 1.2035 .058 4.6745 8 7.7577 6 3.0781 0.8013 4.8865 9 1.3898 6 0.5849 0.1601 .059 6.7710 8 1.0836 5 0.4111 0.1033 7.1944 9 1.9747 6 0.7953 0.2104 .060 9.6798 8 1.4946 5 0.5426 0.1315 1.0451 8 2.7700 6 1.0685 0.2732 .061 1.3667 7 2.0372 5 0.7083 0.1657 1.4990 8 3.8385 6 1.4194 0.3509 .062 1.9069 7 2.7455 5 0.9150 0.2067 2.1242 8 5.2580 6 1.8654 0.4460 .063 2.6307 7 3.6606 5 1.1703 0.2553 2.9755 8 7.1234 6 2.4266 0.5612 .064 3.5907 7 4.8309 5 1.4827 0.3124 4.1225 8 9.5500 6 3.1261 0.6995 .065 4.8510 7 6.3135 5 1.8615 0.3789 5.6521 8 1.2676 5 0.3990 0.0864 .066 6.4902 7 8.1751 5 2.3172 0.4557 7.6722 8 1.6666 5 0.5048 0.1058 .067 8.6028 7 1.0492 4 0.2861 0.0544 1.0316 7 2.1714 5 0.6333 0.1285 .068 1.1302 6 1.3353 4 0.3505 0.0644 1.3744 7 2.8047 5 0.7882 0.1549 .069 1.4723 6 1.6858 4 0.4261 0.0757 1.8153 7 3.5929 5 0.9734 0.1853 .070 1.9025 6 2.1119 4 0.5145 0.0883 2.3778 7 4.5664 5 1.1935 0.2200 .071 2.4393 6 2.6264 4 0.6169 0.1024 3.0899 7 5.7599 5 1.4531 0.2596 .072 3.1045 6 3.2433 4 0.7349 0.1180 3.9847 7 7.2129 5 1.7573 0.3042 .073 3.9230 6 3.9782 4 0.8701 0.1352 5.1011 7 8.9703 5 2.1117 0.3544 .074 4.9236 6 4.8483 4 1.0240 0.1539 6.4848 7 1.1082 4 0.2522 0.0410 .075 6.1392 6 5.8723 4 1.1983 0.1743 8.1886 7 1.3604 4 0.2995 0.0472 .076 7.6070 6 7.0706 4 1.3947 0.1963 1.0274 6 1.6599 4 0.3536 0.0541 .077 9.3692 6 8.4653 4 1.6147 0.2200 1.2810 6 2.0134 4 0.4152 0.0616 .078 1.1473 5 1.0080 3 0.1860 0.0245 1.5877 6 2.4286 4 0.4850 0.0698 .079 1.3971 5 1.1940 3 0.2132 0.0272 1.9567 6 2.9136 4 0.5638 0.0788 .080 1.6923 5 1.4072 3 0.2433 0.0301 2.3981 6 3.4774 4 0.6523 0.0885 .081 2.0393 5 1.6506 3 0.2764 0.0331 2.9236 6 4.1297 4 0.7512 0.0989 .082 2.4453 5 1.9270 3 0.3127 0.0363 3.5462 6 4.8809 4 0.8613 0.1101 .083 2.9183 5 2.2397 3 0.3523 0.0396 4.2802 6 5.7421 4 0.9833 0.1220 .084 3.4668 5 2.5920 3 0.3953 0.0430 5.1418 6 6.7254 4 1.1180 0.1347 .085 4.1002 5 2.9874 3 0.4419 0.0466 6.1487 6 7.8434 4 1.2662 0.1482 .086 4.8287 5 3.4293 3 0.4922 0.0503 7.3204 6 9.1097 4 1.4287 0.1624 .087 5.6633 5 3.9215 3 0.5463 0.0541 8.6786 6 1.0538 3 0.1606 0.0177 .088 6.6159 5 4.4678 3 0.6043 0.0580 1.0247 5 1.2144 3 0.1799 0.0193 .089 7.6993 5 5.0721 3 0.6662 0.0619 1.2050 5 1.3944 3 0.2009 0.0210 .090 8.9269 5 5.7383 3 0.7322 0.0660 1.4117 5 1.5952 3 0.2235 0.0227 .091 1.0314 4 6.4705 3 0.8022 0.0700 1.6478 5 1.8188 3 0.2479 0.0244 .092 1.1874 4 7.2727 3 0.8764 0.0742 1.9165 5 2.0667 3 0.2742 0.0263 .093 1.3626 4 8.1491 3 0.9547 0.0783 2.2213 5 2.3410 3 0.3024 0.0282 .094 1.5586 4 9.1039 3 1.0372 0.0825 2.5660 5 2.6433 3 0.3325 0.0301 .095 1.7772 4 1.0141 2 0.1124 0.0087 2.9546 5 2.9758 3 0.3646 0.0321 .096 2.0204 4 1.1265 2 0.1215 0.0091 3.3914 5 3.3404 3 0.3987 0.0341 .097 2.2901 4 1.2480 2 0.1309 0.0095 3.8811 5 3.7391 3 0.4349 0.0362 .098 2.5885 4 1.3789 2 0.1408 0.0099 4.4284 5 4.1740 3 0.4733 0.0383 .099 2.9179 4 1.5197 2 0.1511 0.0103 5.0386 5 4.6473 3 0.5137 0.0404 .100 3.2804 4 1.6709 2 0.1618 0.0107 5.7171 5 5.1610 3 0.5564 0.0426 0.100 3.2804 4 1.6709 2 0.9231 0.2664 5.7171 5 5.1610 3 3.2520 1.0668 .105 5.6770 4 2.5940 2 1.2336 0.3105 1.0346 4 8.4131 3 4.5922 1.3402 .110 9.2957 4 3.8276 2 1.5787 0.3451 1.7674 4 1.3005 2 0.6199 0.1607 .115 1.4510 3 5.4063 2 1.9464 0.3677 2.8722 4 1.9204 2 0.8049 0.1850 .120 2.1727 3 7.3527 2 2.3231 0.3767 4.4689 4 2.7254 2 1.0105 0.2056 .125 3.1370 3 9.6758 2 2.6954 0.3723 6.6929 4 3.7359 2 1.2318 0.2213 .130 4.3866 3 1.2371 1 0.3051 0.0355 9.6923 4 4.9677 2 1.4632 0.2314 .135 5.9631 3 1.5422 1 0.3378 0.0327 1.3624 3 6.4309 2 1.6990 0.2358 .140 7.9053 3 1.8800 1 0.3668 0.0290 1.8650 3 8.1299 2 1.9334 0.2344 .145 1.0248 2 2.2469 1 0.3915 0.0247 2.4934 3 1.0063 1 0.2161 0.0228 .150 1.3023 2 2.6384 1 0.4114 0.0199 3.2635 3 1.2224 1 0.2377 0.0216 .155 1.6254 2 3.0497 1 0.4262 0.0148 4.1908 3 1.4601 1 0.2577 0.0200 .160 1.9962 2 3.4759 1 0.4359 0.0098 5.2897 3 1.7179 1 0.2759 0.0181 .165 2.4161 2 3.9118 1 0.4407 0.0048 6.5733 3 1.9937 1 0.2918 0.0160 .170 2.8858 2 4.3526 1 0.4408 0.0001 8.0536 3 2.2856 1 0.3055 0.0137 .175 3.4056 2 4.7933 1 0.4365 −0.0043 9.7408 3 2.5910 1 0.3167 0.0112 .180 3.9754 2 5.2298 1 0.4282 −0.0083 1.1643 2 2.9078 1 0.3255 0.0088 .185 4.5944 2 5.6581 1 0.4165 −0.0118 1.3769 2 3.2332 1 0.3318 0.0063 .190 5.2613 2 6.0745 1 0.4017 −0.0148 1.6121 2 3.5650 1 0.3357 0.0039 .195 5.9749 2 6.4762 1 0.3843 −0.0174 1.8705 2 3.9008 1 0.3374 0.0017 .200 6.7331 2 6.8605 1 0.3648 −0.0195 2.1522 2 4.2382 1 0.3369 −0.0005 .205 7.5339 2 7.2252 1 0.3436 −0.0212 2.4573 2 4.5751 1 0.3345 −0.0025 .210 8.3750 2 7.5688 1 0.3212 −0.0224 2.7856 2 4.9096 1 0.3302 −0.0043 .215 9.2538 2 7.8900 1 0.2979 −0.0233 3.1369 2 5.2398 1 0.3243 −0.0059 .220 1.0168 1 8.1879 1 0.2740 −0.0239 3.5109 2 5.5640 1 0.3169 −0.0074 .225 1.1114 1 8.4619 1 0.2499 −0.0241 3.9071 2 5.8809 1 0.3082 −0.0087 .230 1.2091 1 8.7117 1 0.2258 −0.0241 4.3249 2 6.1891 1 0.2984 −0.0098 .235 1.3094 1 8.9375 1 0.2019 −0.0239 4.7637 2 6.4876 1 0.2877 −0.0107 .240 1.4122 1 9.1394 1 0.1785 −0.0234 5.2228 2 6.7753 1 0.2762 −0.0115 .245 1.5171 1 9.3179 1 0.1556 −0.0228 5.7015 2 7.0515 1 0.2641 −0.0121 .250 1.6239 1 9.4735 1 0.1335 −0.0221 6.1988 2 7.3156 1 0.2515 −0.0126 .255 1.7324 1 9.6071 1 0.1123 −0.0213 6.7140 2 7.5671 1 0.2385 −0.0130 .260 1.8423 1 9.7193 1 0.0919 −0.0204 7.2462 2 7.8056 1 0.2253 −0.0132 .265 1.9533 1 9.8112 1 0.0725 −0.0194 7.7944 2 8.0309 1 0.2120 −0.0134 .270 2.0653 1 9.8837 1 0.0541 −0.0184 8.3577 2 8.2429 1 0.1986 −0.0134 .275 2.1780 1 9.9377 1 0.0367 −0.0174 8.9353 2 8.4415 1 0.1852 −0.0134 .280 2.2911 1 9.9744 1 0.0204 −0.0163 9.5261 2 8.6267 1 0.1720 −0.0132 .285 2.4047 1 9.9948 1 0.0051 −0.0153 1.0129 1 8.7986 1 0.1589 −0.0131 .290 2.5183 1 9.9998 1 −0.0092 −0.0143 1.0744 1 8.9575 1 0.1461 −0.0128 .295 2.6320 1 9.9906 1 −0.0225 −0.0133 1.1369 1 9.1036 1 0.1335 −0.0126 .300 2.7454 1 9.9682 1 −0.0347 −0.0123 1.2004 1 9.2371 1 0.1212 −0.0123 .305 2.8585 1 9.9334 1 −0.0460 −0.0113 1.2648 1 9.3583 1 0.1093 −0.0119 .310 2.9712 1 9.8874 1 −0.0564 −0.0104 1.3299 1 9.4676 1 0.0978 −0.0115 .315 3.0833 1 9.8310 1 −0.0659 −0.0095 1.3958 1 9.5654 1 0.0867 −0.0111 .320 3.1947 1 9.7650 1 −0.0746 −0.0087 1.4623 1 9.6521 1 0.0759 −0.0107 .325 3.3053 1 9.6904 1 −0.0825 −0.0079 1.5294 1 9.7280 1 0.0656 −0.0103 .330 3.4150 1 9.6080 1 −0.0896 −0.0071 1.5970 1 9.7936 1 0.0557 −0.0099 .335 3.5237 1 9.5184 1 −0.0959 −0.0064 1.6650 1 9.8493 1 0.0463 −0.0095 .340 3.6314 1 9.4225 1 −0.1016 −0.0057 1.7333 1 9.8956 1 0.0372 −0.0090 .345 3.7379 1 9.3208 1 −0.1067 −0.0051 1.8020 1 9.9328 1 0.0286 −0.0086 .350 3.8432 1 9.2142 1 −0.1112 −0.0045 1.8708 1 9.9614 1 0.0204 −0.0082 .355 3.9474 1 9.1030 1 −0.1151 −0.0039 1.9399 1 9.9818 1 0.0127 −0.0078 .360 4.0502 1 8.9880 1 −0.1184 −0.0034 2.0090 1 9.9945 1 0.0053 −0.0074 .365 4.1517 1 8.8695 1 −0.1213 −0.0029 2.0782 1 9.9998 1 −0.0017 −0.0070 .370 4.2518 1 8.7482 1 −0.1238 −0.0025 2.1474 1 9.9981 1 −0.0082 −0.0066 0.375 4.3506 1 8.6244 1 −0.1258 −0.0020 2.2166 1 9.9899 1 −0.0144 −0.0062 .380 4.4479 1 8.4987 1 −0.1274 −0.0016 2.2857 1 9.9754 1 −0.0203 −0.0058 .385 4.5438 1 8.3712 1 −0.1287 −0.0013 2.3547 1 9.9551 1 −0.0257 −0.0055 .390 4.6382 1 8.2425 1 −0.1296 −0.0010 2.4236 1 9.9294 1 −0.0309 −0.0051 .395 4.7312 1 8.1129 1 −0.1303 −0.0006 2.4922 1 9.8985 1 −0.0357 −0.0048 .400 4.8227 1 7.9826 1 −0.1307 −0.0004 2.5606 1 9.8628 1 −0.0402 −0.0045 .400 4.8227 1 7.9826 1 −0.2614 −0.0015 2.5606 1 9.8628 1 −0.0845 −0.0180 .410 5.0012 1 7.7211 1 −0.2610 +0.0004 2.6966 1 9.7783 1 −0.1001 −0.0156 .420 5.1738 1 7.4601 1 −0.2590 0.0020 2.8313 1 9.6781 1 −0.1136 −0.0134 .430 5.3404 1 7.2011 1 −0.2556 0.0033 2.9645 1 9.5646 1 −0.1250 −0.0115 .440 5.5012 1 6.9455 1 −0.2512 0.0044 3.0961 1 9.4396 1 −0.1347 −0.0097 .450 5.6563 1 6.6942 1 −0.2460 0.0053 3.2258 1 9.3049 1 −0.1427 −0.0080 .460 5.8057 1 6.4483 1 −0.2401 0.0059 3.3537 1 9.1622 1 −0.1493 −0.0066 .470 5.9495 1 6.2082 1 −0.2336 0.0064 3.4795 1 9.0128 1 −0.1546 −0.0053 .480 6.0880 1 5.9746 1 −0.2268 0.0068 3.6032 1 8.8582 1 −0.1588 −0.0042 .490 6.2212 1 5.7477 1 −0.2198 0.0070 3.7248 1 8.6994 1 −0.1619 −0.0031 .500 6.3494 1 5.5279 1 −0.2126 0.0072 3.8441 1 8.5374 1 −0.1642 −0.0022 .510 6.4727 1 5.3153 1 −0.2053 0.0073 3.9611 1 8.3733 1 −0.1656 −0.0014 .520 6.5912 1 5.1100 1 −0.1980 0.0073 4.0759 1 8.2077 1 −0.1663 −0.0007 .530 6.7051 1 4.9120 1 −0.1908 0.0073 4.1884 1 8.0414 1 −0.1665 −0.0001 .540 6.8146 1 4.7212 1 −0.1836 0.0072 4.2986 1 7.8749 1 −0.1660 +0.0004 .550 6.9198 1 4.5376 1 −0.1765 0.0071 4.4065 1 7.7089 1 −0.1652 0.0009 .560 7.0209 1 4.3611 1 −0.1696 0.0069 4.5120 1 7.5437 1 −0.1639 0.0013 .570 7.1182 1 4.1915 1 −0.1629 0.0067 4.6153 1 7.3798 1 −0.1623 0.0016 .580 7.2116 1 4.0287 1 −0.1563 0.0066 4.7164 1 7.2175 1 −0.1604 0.0019 .590 7.3014 1 3.8724 1 −0.1499 0.0064 4.8152 1 7.0571 1 −0.1582 0.0022 .600 7.3877 1 3.7225 1 −0.1437 0.0062 4.9118 1 6.8989 1 −0.1558 0.0024 .600 7.3877 1 3.7225 1 −0.2815 0.0247 4.9118 1 6.8989 1 −0.3092 0.0094 .620 7.5505 1 3.4409 1 −0.2586 0.0230 5.0985 1 6.5897 1 −0.2986 0.0107 .640 7.7010 1 3.1824 1 −0.2373 0.0213 5.2768 1 6.2911 1 −0.2871 0.0115 .660 7.8402 1 2.9451 1 −0.2176 0.0196 5.4470 1 6.0040 1 −0.2752 0.0119 .680 7.9691 1 2.7275 1 −0.1996 0.0180 5.6094 1 5.7288 1 −0.2631 0.0121 .700 8.0885 1 2.5278 1 −0.1831 0.0165 5.7644 1 5.4657 1 −0.2510 0.0121 .720 8.1993 1 2.3448 1 −0.1680 0.0151 5.9122 1 5.2147 1 −0.2391 0.0119 .740 8.3020 1 2.1768 1 −0.1541 0.0138 6.0533 1 4.9756 1 −0.2274 0.0117 .760 8.3974 1 2.0226 1 −0.1415 0.0126 6.1879 1 4.7482 1 −0.2161 0.0113 .780 8.4861 1 1.8811 1 −0.1301 0.0115 6.3164 1 4.5322 1 −0.2052 0.0109 .800 8.5687 1 1.7511 1 −0.1196 0.0105 6.4390 1 4.3270 1 −0.1947 0.0105 .820 8.6455 1 1.6315 1 −0.1100 0.0096 6.5561 1 4.1323 1 −0.1846 0.0100 .840 8.7172 1 1.5215 1 −0.1013 0.0087 6.6679 1 3.9477 1 −0.1751 0.0096 .860 8.7840 1 1.4202 1 −0.0933 0.0079 6.7748 1 3.7726 1 −0.1660 0.0091 .880 8.8465 1 1.3268 1 −0.0861 0.0073 6.8769 1 3.6066 1 −0.1574 0.0086 .900 8.9048 1 1.2407 1 −0.0795 0.0066 6.9746 1 3.4492 1 −0.1491 0.0082 .920 8.9594 1 1.1613 1 −0.0734 0.0060 7.0680 1 3.3001 1 −0.1414 0.0077 .940 9.0105 1 1.0879 1 −0.0679 0.0055 7.1574 1 3.1586 1 −0.1341 0.0073 .960 9.0584 1 1.0200 1 −0.0628 0.0051 7.2430 1 3.0245 1 −0.1272 0.0069 .980 9.1033 1 9.5715 2 −0.5820 0.0463 7.3250 1 2.8974 1 −0.1206 0.0065 1.000 9.1455 1 8.9895 2 −0.5396 0.0424 7.4035 1 2.7767 1 −0.1144 0.0062 1.00 9.1455 1 8.9895 2 −1.2771 0.2660 7.4035 1 2.7767 1 −0.2754 0.0386 1.05 9.2402 1 7.7124 2 −1.0628 0.2143 7.5860 1 2.5013 1 −0.2420 0.0334 1.10 9.3217 1 6.6496 2 −0.8892 0.1736 7.7506 1 2.2594 1 −0.2132 0.0288 1.15 9.3921 1 5.7604 2 −0.7478 0.1414 7.8995 1 2.0462 1 −0.1882 0.0249 1.20 9.4532 1 5.0126 2 −0.6321 0.1157 8.0345 1 1.8580 1 −0.1666 0.0216 1.25 9.5065 1 4.3806 2 −0.5368 0.0952 8.1572 1 1.6914 1 −0.1479 0.0187 1.30 9.5531 1 3.8438 2 −0.4580 0.0788 8.2691 1 1.5435 1 −0.1316 0.0163 1.35 9.5942 1 3.3857 2 −0.3925 0.0655 8.3713 1 1.4118 1 −0.1175 0.0142 1.40 9.6304 1 2.9932 2 −0.3378 0.0547 8.4649 1 1.2944 1 −0.1051 0.0124 1.45 9.6624 1 2.6554 2 −0.2919 0.0459 8.5508 1 1.1893 1 −0.0942 0.0108 1.50 9.6909 1 2.3634 2 −0.2532 0.0387 8.6298 1 1.0951 1 −0.0847 0.0095 1.55 9.7163 1 2.1102 2 −0.2205 0.0328 8.7026 1 1.0103 1 −0.0764 0.0084 1.60 9.7390 1 1.8897 2 −0.1926 0.0278 8.7698 1 9.3394 2 −0.6899 0.0738 1.65 9.7594 1 1.6971 2 −0.1689 0.0238 8.8321 1 8.6496 2 −0.6246 0.0653 1.70 9.7777 1 1.5283 2 −0.1485 0.0204 8.8897 1 8.0249 2 −0.5667 0.0579 1.75 9.7942 1 1.3797 2 −0.1310 0.0175 8.9433 1 7.4582 2 −0.5153 0.0514 1.80 9.8091 1 1.2487 2 −0.1159 0.0151 8.9931 1 6.9429 2 −0.4695 0.0458 1.85 9.8226 1 1.1328 2 −0.1028 0.0131 9.0395 1 6.4734 2 −0.4286 0.0409 1.90 9.8349 1 1.0300 2 −0.0915 0.0114 9.0828 1 6.0448 2 −0.3920 0.0366 1.95 9.8461 1 9.3850 3 −0.8160 0.0989 9.1233 1 5.6528 2 −0.3591 0.0328 2.00 9.8563 1 8.5690 3 −0.7296 0.0864 9.1612 1 5.2937 2 −0.3297 0.0295
* N
ote : Δ
f ×10
− q and
δ 2 f ×10
− q are the first difference and the second central difference, respectively, of
f ×10
− q . Similar relations hold between Δ
g ×10
− q ,
δ 2 g ×10
− q and
g ×10
− q .
Table II
ℛλ =c 1 λ−5 (e c 2 /λT −1)−1 ;
ℛ
0
-
λ
=
∫
0
λ
ℛ
λ
d
λ
;
N
λ
=
2
π
c
λ
-
4
(
e
c
2
/
λ
T
-
1
)
-
1
;
N
0
-
λ
=
∫
0
λ
N
λ
d
λ ; T =1000 °K .*
λ in microns ℛ0−λ =Y ×10p ergs cm −2 sec .−1 ℛλ =y ×10q ergs cm −2 sec .−1 micron −1 N 0−λ =Z ×10p photons cm−2 sec.−1 N λ =z ×10q photons cm−2 sec .−1 micron −1
Y p y q Δy δ 2 y Z p z q Δz δ 2 z
0.50 7.7811 −2 4.0193 0 2.3739 0.8290 1.8931 10 1.0143 12 0.6313 0.2290 0.51 1.2904 −1 6.3932 0 3.5772 1.2033 3.1999 10 1.6456 12 0.9711 0.3398 0.52 2.0967 −1 9.9705 0 5.2925 1.7153 5.2970 10 2.6167 12 1.4660 0.4949 0.53 3.3415 −1 1.5263 1 0.7696 0.2404 8.5976 10 4.0827 12 2.1745 0.7085 0.54 5.2292 −1 2.2959 1 1.1011 0.3315 1.3698 11 6.2573 12 3.1723 0.9977 0.55 8.0435 −1 3.3970 1 1.5512 − 0.4502 2.1444 11 9.4296 12 4.5558 1.3835 0.56 1.2173 0 4.9482 1 2.1540 0.6027 3.3017 11 1.3985 13 0.6446 0.1891 0.57 1.8140 0 7.1022 1 2.9502 0.7962 5.0043 11 2.0432 13 0.8994 0.2548 0.58 2.6642 0 1.0052 2 0.3989 0.1038 7.4727 11 2.9426 13 1.2384 0.3390 0.59 3.8591 0 1.4041 2 0.5326 0.1338 1.1002 12 4.1810 13 1.6838 0.4454 0.60 5.5169 0 1.9367 2 0.7031 0.1704 1.5983 12 5.8649 13 2.2623 0.5785 0.61 7.7893 0 2.6398 2 0.9178 0.2148 2.2924 12 8.1271 13 3.0053 0.7430 0.62 1.0868 1 3.5576 2 1.1857 0.2678 3.2485 12 1.1132 14 0.3950 0.0944 0.63 1.4994 1 4.7433 2 1.5165 0.3308 4.5504 12 1.5082 14 0.5138 0.1188 0.64 2.0465 1 6.2598 2 1.9212 0.4048 6.3044 12 2.0220 14 0.6619 0.1481 0.65 2.7648 1 8.1810 2 2.4122 0.4909 8.6436 12 2.6838 14 0.8448 0.1829 0.66 3.6990 1 1.0593 3 0.3003 0.0590 1.1733 13 3.5286 14 1.0688 0.2240 0.67 4.9031 1 1.3596 3 0.3707 0.0704 1.5775 13 4.5974 14 1.3409 0.2721 0.68 6.4417 1 1.7303 3 0.4541 0.0834 2.1018 13 5.9383 14 1.6688 0.3279 0.69 8.3915 1 2.1844 3 0.5522 0.0980 2.7761 13 7.6071 14 2.0610 0.3922 0.70 1.0843 2 2.7366 3 0.6666 0.1145 3.6363 13 9.6682 14 2.5269 0.4659 0.71 1.3903 2 3.4032 3 0.7994 0.1327 4.7253 13 1.2195 15 0.3077 0.0550 0.72 1.7694 2 4.2026 3 0.9523 0.1529 6.0937 13 1.5272 15 0.3721 0.0644 0.73 2.2359 2 5.1549 3 1.1275 0.1752 7.8011 13 1.8992 15 0.4471 0.0750 0.74 2.8062 2 6.2824 3 1.3269 0.1994 9.9171 13 2.3463 15 0.5340 0.0869 0.75 3.4990 2 7.6093 3 1.5528 0.2259 1.2523 14 2.8803 15 0.6340 0.1000 0.76 4.3356 2 9.1621 3 1.8072 0.2544 1.5711 14 3.5143 15 0.7486 0.1145 0.77 5.3399 2 1.0969 4 0.2092 0.0285 1.9589 14 4.2629 15 0.8790 0.1305 0.78 6.5389 2 1.3062 4 0.2410 0.0318 2.4280 14 5.1419 15 1.0269 0.1479 0.79 7.9628 2 1.5472 4 0.2763 0.0353 2.9923 14 6.1688 15 1.1937 0.1668 0.80 9.6451 2 1.8235 4 0.3153 0.0390 3.6674 14 7.3626 15 1.3811 0.1873 0.81 1.1623 3 2.1388 4 0.3582 0.0429 4.4710 14 8.7436 15 1.5904 0.2094 0.82 1.3937 3 2.4970 4 0.4052 0.0470 5.4231 14 1.0334 16 0.1823 0.0233 0.83 1.6633 3 2.9022 4 0.4565 0.0513 6.5456 14 1.2158 16 0.2082 0.0258 0.84 1.9759 3 3.3587 4 0.5123 0.0558 7.8632 14 1.4239 16 0.2367 0.0285 0.85 2.3369 3 3.8710 4 0.5727 0.0604 9.4030 14 1.6607 16 0.2681 0.0314 0.86 2.7521 3 4.4437 4 0.6378 0.0652 1.1195 15 1.9287 16 0.3025 0.0344 0.87 3.2278 3 5.0815 4 0.7079 0.0701 1.3272 15 2.2312 16 0.3400 0.0376 0.88 3.7707 3 5.7894 4 0.7830 0.0751 1.5670 15 2.5713 16 0.3809 0.0409 0.89 4.3881 3 6.5724 4 0.8633 0.0803 1.8428 15 2.9522 16 0.4253 0.0444 0.90 5.0879 3 7.4357 4 0.9488 0.0855 2.1589 15 3.3775 16 0.4733 0.0480 0.91 5.8781 3 8.3844 4 1.0395 0.0908 2.5199 15 3.8508 16 0.5250 0.0517 0.92 6.7678 3 9.4239 4 1.1356 0.0961 2.9308 15 4.3758 16 0.5806 0.0556 0.93 7.7661 3 1.0560 5 0.1237 0.0101 3.3969 15 4.9564 16 0.6402 0.0596 0.94 8.8831 3 1.1797 5 0.1344 0.0107 3.9241 15 5.5966 16 0.7040 0.0637 0.95 1.0129 4 1.3141 5 0.1456 0.0112 4.5184 15 6.3006 16 0.7719 0.0680 0.96 1.1515 4 1.4597 5 0.1574 0.0118 5.1864 15 7.0725 16 0.8442 0.0723 0.97 1.3052 4 1.6171 5 0.1697 0.0123 5.9353 15 7.9166 16 0.9209 0.0767 0.98 1.4753 4 1.7868 5 0.1825 0.0128 6.7723 15 8.8375 16 1.0020 0.0811 0.99 1.6630 4 1.9693 5 0.1958 0.0133 7.7055 15 9.8395 16 1.0877 0.0857 1.00 1.8696 4 2.1651 5 0.2097 0.0138 8.7431 15 1.0927 17 0.1178 0.0090 1.00 1.8696 4 2.1651 5 1.1962 0.3452 8.7431 15 1.0927 17 0.6885 0.2259 1.05 3.2356 4 3.3613 5 1.5985 0.4023 1.5822 16 1.7813 17 0.9723 0.2837 1.10 5.2980 4 4.9598 5 2.0457 0.4472 2.7029 16 2.7535 17 1.3125 0.3402 1.15 8.2699 4 7.0055 5 2.5221 0.4764 4.3924 16 4.0660 17 1.7043 0.3918 1.20 1.2383 5 9.5275 5 3.0103 0.4882 6.8342 16 5.7703 17 2.1395 0.4353 1.25 1.7879 5 1.2538 6 0.3493 0.0482 1.0235 17 7.9098 17 2.6080 0.4685 1.30 2.5001 5 1.6031 6 0.3953 0.0460 1.4822 17 1.0518 18 0.3098 0.0490 1.35 3.3986 5 1.9984 6 0.4377 0.0424 2.0835 17 1.3616 18 0.3597 0.0499 1.40 4.5056 5 2.4361 6 0.4754 0.0376 2.8521 17 1.7213 18 0.4093 0.0496 1.45 5.8410 5 2.9115 6 0.5073 0.0320 3.8131 17 2.1307 18 0.4575 0.0482 1.50 7.4224 5 3.4188 6 0.5330 0.0257 4.9908 17 2.5882 18 0.5033 0.0457 1.55 9.2641 5 3.9518 6 0.5522 0.0192 6.4089 17 3.0915 18 0.5457 0.0424 1.60 1.1377 6 4.5041 6 0.5649 0.0126 8.0894 17 3.6371 18 0.5841 0.0384 1.65 1.3770 6 5.0689 6 0.5711 0.0062 1.0052 18 4.2212 18 0.6179 0.0338 1.70 1.6447 6 5.6400 6 0.5712 0.0001 1.2316 18 4.8391 18 0.6468 0.0289 1.75 1.9410 6 6.2112 6 0.5656 −0.0056 1.4896 18 5.4859 18 0.6706 0.0238 1.80 2.2658 6 6.7768 6 0.5549 −0.0107 1.7806 18 6.1565 18 0.6891 0.0186 1.85 2.6185 6 7.3317 6 0.5397 −0.0152 2.1056 18 6.8456 18 0.7025 0.0134 1.90 2.9987 6 7.8713 6 0.5205 −0.0192 2.4654 18 7.5481 18 0.7109 0.0083 1.95 3.4053 6 8.3918 6 0.4979 −0.0225 2.8605 18 8.2589 18 0.7144 0.0035 2.00 3.8375 6 8.8897 6 0.4727 −0.0253 3.2913 18 8.9733 18 0.7134 −0.0010 2.05 4.2939 6 9.3624 6 0.4452 −0.0274 3.7579 18 9.6867 18 0.7082 −0.0052 2.10 4.7733 6 9.8076 6 0.4162 −0.0291 4.2599 18 1.0395 19 0.0699 −0.0009 2.15 5.2742 6 1.0224 7 0.0386 −0.0031 4.7972 18 1.1094 19 0.0687 −0.0013 2.20 5.7951 6 1.0610 7 0.0355 −0.0031 5.3691 18 1.1780 19 0.0671 −0.0016 2.25 6.3346 6 1.0965 7 0.0324 −0.0031 5.9750 18 1.2451 19 0.0653 −0.0018 2.30 6.8911 6 1.1289 7 0.0293 −0.0031 6.6139 18 1.3104 19 0.0632 −0.0021 2.35 7.4630 6 1.1581 7 0.0262 −0.0031 7.2850 18 1.3736 19 0.0609 −0.0023 2.40 8.0487 6 1.1843 7 0.0231 −0.0030 7.9871 18 1.4345 19 0.0585 −0.0024 2.45 8.6467 6 1.2074 7 0.0202 −0.0030 8.7191 18 1.4930 19 0.0559 −0.0026 2.50 9.2556 6 1.2276 7 0.0173 −0.0029 9.4797 18 1.5489 19 0.0532 −0.0027 2.55 9.8738 6 1.2449 7 0.0145 −0.0028 1.0268 19 1.6021 19 0.0505 −0.0027 2.60 1.0500 7 1.2594 7 0.0119 −0.0026 1.1081 19 1.6526 19 0.0477 −0.0028 2.65 1.1133 7 1.2713 7 0.0094 −0.0025 1.1920 19 1.7003 19 0.0449 −0.0028 2.70 1.1771 7 1.2807 7 0.0070 −0.0024 1.2781 19 1.7452 19 0.0420 −0.0028 2.75 1.2413 7 1.2877 7 0.0048 −0.0022 1.3664 19 1.7873 19 0.0392 −0.0028 2.80 1.3058 7 1.2925 7 0.0026 −0.0021 1.4568 19 1.8265 19 0.0364 −0.0028 2.85 1.3705 7 1.2951 7 0.0007 −0.0020 1.5491 19 1.8629 19 0.0336 −0.0028 2.90 1.4353 7 1.2958 7 −0.0012 −0.0018 1.6430 19 1.8965 19 0.0309 −0.0027 2.95 1.5001 7 1.2946 7 −0.0029 −0.0017 1.7387 19 1.9275 19 0.0283 −0.0027 3.00 1.5647 7 1.2917 7 −0.0045 −0.0016 1.8357 19 1.9557 19 0.0257 −0.0026 3.05 1.6292 7 1.2872 7 −0.0060 −0.0015 1.9342 19 1.9814 19 0.0231 −0.0025 3.10 1.6934 7 1.2812 7 −0.0073 −0.0013 2.0338 19 2.0045 19 0.0207 −0.0024 3.15 1.7573 7 1.2739 7 −0.0085 −0.0012 2.1346 19 2.0252 19 0.0183 −0.0024 3.20 1.8208 7 1.2653 7 −0.0097 −0.0011 2.2363 19 2.0436 19 0.0161 −0.0023 3.25 1.8838 7 1.2557 7 −0.0107 −0.0010 2.3389 19 2.0597 19 0.0139 −0.0022 3.30 1.9463 7 1.2450 7 −0.0116 −0.0009 2.4423 19 2.0736 19 0.0118 −0.0021 3.35 2.0083 7 1.2334 7 −0.0124 −0.0008 2.5462 19 2.0853 19 0.0098 −0.0020 3.40 2.0697 7 1.2210 7 −0.0132 −0.0007 2.6508 19 2.0951 19 0.0079 −0.0019 3.45 2.1304 7 1.2078 7 −0.0138 −0.0007 2.7557 19 2.1030 19 0.0061 −0.0018 3.50 2.1904 7 1.1940 7 −0.0144 −0.0006 2.8610 19 2.1091 19 0.0043 −0.0017 3.55 2.2498 7 1.1796 7 −0.0149 −0.0005 2.9666 19 2.1134 19 0.0027 −0.0016 3.60 2.3084 7 1.1646 7 −0.0153 −0.0004 3.0723 19 2.1161 19 0.0011 −0.0016 3.65 2.3662 7 1.1493 7 −0.0157 −0.0004 3.1782 19 2.1172 19 −0.0004 −0.0015 3.70 2.4233 7 1.1336 7 −0.0160 −0.0003 3.2840 19 2.1169 19 −0.0017 −0.0014 3.75 2.4796 7 1.1175 7 −0.0163 −0.0003 3.3898 19 2.1151 19 −0.0031 −0.0013 3.80 2.5351 7 1.1012 7 −0.0165 −0.0002 3.4955 19 2.1120 19 −0.0043 −0.0012 3.85 2.5897 7 1.0847 7 −0.0167 −0.0002 3.6010 19 2.1078 19 −0.0055 −0.0012 3.90 2.6435 7 1.0681 7 −0.0168 −0.0001 3.7063 19 2.1023 19 −0.0065 −0.0011 3.95 2.6965 7 1.0513 7 −0.0169 −0.0001 3.8112 19 2.0958 19 −0.0076 −0.0010 4.00 2.7487 7 1.0344 7 −0.0169 −0.0000 3.9158 19 2.0882 19 −0.0085 −0.0010 4.0 2.7487 7 1.0344 7 −0.0339 −0.0002 3.9158 19 2.0882 19 −0.0179 −0.0038 4.1 2.8504 7 1.0005 7 −0.0338 +0.0001 4.1238 19 2.0703 19 −0.0212 −0.0033 4.2 2.9488 7 9.6667 6 −0.3356 0.0026 4.3298 19 2.0491 19 −0.0240 −0.0028 4.3 3.0437 9.3311 6 −0.3313 0.0043 4.5335 19 2.0251 19 −0.0265 −0.0024 4.4 3.1354 7 8.9999 6 −0.3256 0.0057 4.7347 19 1.9986 19 −0.0285 −0.0020 4.5 3.2238 7 8.6743 6 −0.3187 0.0068 4.9332 19 1.9701 19 −0.0302 −0.0017 4.6 3.3089 7 8.3556 6 −0.3111 0.0077 5.1287 19 1.9399 19 −0.0316 −0.0014 4.7 3.3909 7 8.0445 6 −0.3027 0.0083 5.3211 19 1.9082 19 −0.0327 −0.0011 4.8 3.4698 7 7.7418 6 −0.2939 0.0088 5.5103 19 1.8755 19 −0.0336 −0.0009 4.9 3.5458 7 7.4478 6 −0.2848 0.0091 5.6962 19 1.8419 19 −0.0343 −0.0007 5.0 3.6188 7 7.1630 6 −0.2755 0.0093 5.8787 19 1.8076 19 −0.0348 −0.0005 5.1 3.6891 7 6.8875 6 −0.2660 0.0094 6.0577 19 1.7728 19 −0.0351 −0.0003 5.2 3.7566 7 6.6215 6 −0.2566 0.0095 6.2332 19 1.7378 19 −0.0352 −0.0002 5.3 3.8215 7 6.3649 6 −0.2472 0.0094 6.4052 19 1.7026 19 −0.0352 −0.0000 5.4 3.8839 7 6.1177 6 −0.2379 0.0093 6.5737 19 1.6673 19 −0.0352 +0.0001 5.5 3.9439 7 5.8798 6 −0.2287 0.0092 6.7387 19 1.6322 19 −0.0350 0.0002 5.6 4.0015 7 5.6511 6 −0.2198 0.0090 6.9002 19 1.5972 19 −0.0347 0.0003 5.7 4.0569 7 5.4313 6 −0.2110 0.0088 7.0581 19 1.5625 19 −0.0344 0.0003 5.8 4.1102 7 5.2203 6 −0.2025 0.0085 7.2127 19 1.5281 19 −0.0340 0.0004 5.9 4.1614 7 5.0178 6 −0.1943 0.0083 7.3638 19 1.4942 19 −0.0335 0.0005 6.0 4.2106 7 4.8235 6 −0.1863 0.0080 7.5115 19 1.4607 19 −0.0330 0.0005 6.0 4.2106 7 4.8235 6 −0.3648 0.0320 7.5115 19 1.4607 19 −0.0655 0.0020 6.2 4.3034 7 4.4587 6 −0.3350 0.0298 7.7971 19 1.3952 19 −0.0632 0.0023 6.4 4.3891 7 4.1237 6 −0.3075 0.0276 8.0697 19 1.3320 19 −0.0608 0.0024 6.6 4.4685 7 3.8162 6 −0.2820 0.0254 8.3300 19 1.2712 19 −0.0583 0.0025 6.8 4.5420 7 3.5342 6 −0.2587 0.0234 8.5784 19 1.2129 19 −0.0557 0.0026 7.0 4.6100 7 3.2756 6 −0.2372 0.0214 8.8154 19 1.1572 19 −0.0531 0.0026 7.2 4.6731 7 3.0383 6 −0.2176 0.0196 9.0415 19 1.1041 19 −0.0506 0.0025 7.4 4.7317 7 2.8207 6 −0.1997 0.0179 9.2572 19 1.0535 19 −0.0481 0.0025 7.6 4.7861 7 2.6209 6 −0.1834 0.0163 9.4630 19 1.0053 19 −0.0457 0.0024 7.8 4.8366 7 2.4375 6 −0.1685 0.0149 9.6595 19 9.5957 18 −0.4344 0.0231 8.0 4.8837 7 2.2690 6 −0.1549 0.0136 9.8470 19 9.1613 18 −0.4122 0.0222 8.2 4.9275 7 2.1141 6 −0.1425 0.0124 1.0026 20 8.7492 18 −0.3909 0.0212 8.4 4.9683 7 1.9715 6 −0.1313 0.0113 1.0197 20 8.3582 18 −0.3707 0.0202 8.6 5.0064 7 1.8403 6 −0.1210 0.0103 1.0361 20 7.9875 18 −0.3514 0.0193 8.8 5.0420 7 1.7193 6 −0.1116 0.0094 1.0517 20 7.6361 18 −0.3332 0.0183 9.0 5.0752 7 1.6078 6 −0.1030 0.0086 1.0666 20 7.3029 18 −0.3158 0.0173 9.2 5.1064 7 1.5048 6 −0.0951 0.0078 1.0809 20 6.9871 18 −0.2994 0.0164 9.4 5.1355 7 1.4096 6 −0.0880 0.0072 1.0946 20 6.6876 18 −0.2839 0.0155 9.6 5.1628 7 1.3217 6 −0.0814 0.0066 1.1077 20 6.4037 18 −0.2693 0.0147 9.8 5.1884 7 1.2403 6 −0.0754 0.0060 1.1202 20 6.1345 18 −0.2554 0.0138 10.0 5.2124 7 1.1649 6 −0.0699 0.0055 1.1322 20 5.8790 18 −0.2424 0.0131 10.0 5.2124 7 1.1649 6 −0.1655 0.0345 1.1322 20 5.8790 18 −0.5830 0.0818 10.5 5.2664 7 9.9936 5 −1.3772 0.2778 1.1601 20 5.2960 18 −0.5124 0.0707 11.0 5.3128 7 8.6164 5 −1.1522 0.2250 1.1853 20 4.7836 18 −0.4513 0.0611 11.5 5.3530 7 7.4643 5 −0.9690 0.1832 1.2080 20 4.3323 18 −0.3985 0.0528 12.0 5.3878 7 6.4953 5 −0.8190 0.1500 1.2287 20 3.9338 18 −0.3528 0.0457 12.5 5.4182 7 5.6763 5 −0.6956 0.1234 1.2475 20 3.5810 18 −0.3131 0.0396 13.0 5.4448 7 4.9807 5 −0.5935 0.1021 1.2646 20 3.2679 18 −0.2787 0.0344 13.5 5.4681 7 4.3872 5 −0.5086 0.0849 1.2802 20 2.9892 18 −0.2487 0.0300 14.0 5.4888 7 3.8786 5 −0.4378 0.0709 1.2945 20 2.7405 18 −0.2225 0.0262 14.5 5.5070 7 3.4408 5 −0.3783 0.0595 1.3076 20 2.5180 18 −0.1995 0.0229 15.0 5.5233 7 3.0625 5 −0.3281 0.0501 1.3197 20 2.3185 18 −0.1794 0.0201 15.5 5.5377 7 2.7344 5 −0.2857 0.0424 1.3309 20 2.1391 18 −0.1617 0.0177 16.0 5.5507 7 2.4487 5 −0.2496 0.0361 1.3412 20 1.9774 18 −0.1461 0.0156 16.5 5.5623 7 2.1991 5 −0.2188 0.0308 1.3507 20 1.8313 18 −0.1322 0.0138 17.0 5.5727 7 1.9803 5 −0.1924 0.0264 1.3595 20 1.6991 18 −0.1200 0.0123 17.5 5.5821 7 1.7879 5 −0.1698 0.0227 1.3677 20 1.5791 18 −0.1091 0.0109 18.0 5.5906 7 1.6181 5 −0.1502 0.0196 1.3753 20 1.4700 18 −0.0994 0.0097 18.5 5.5984 7 1.4679 5 −0.1333 0.0169 1.3824 20 1.3706 18 −0.0907 0.0087 19.0 5.6054 7 1.3347 5 −0.1185 0.0147 1.3890 20 1.2798 18 −0.0830 0.0078 19.5 5.6117 7 1.2161 5 −0.1057 0.0128 1.3952 20 1.1969 18 −0.0760 0.0070 20.0 5.6175 7 1.1104 5 −0.0945 0.0112 1.4010 20 1.1208 18 −0.0698 0.0062
* N
ote : 10
q Δ
y , and 10
q δ 2 y are the first differences and the second central differences, respectively, of 10
q y ; similar relations hold for Δ
z and
δ 2 z with respect to 10
q z .
Table III
N λ =2πc λ−4 (e c 2 /λT −1)−1 =A× 10p photons cm−2 see.−1 micron−1 .
λ in microns T =1000°KT =1500°KT =2000°KT =2500°KT =3000°KT =3500°KT =6000°K
A p A p A p A p A p A p A p
0.25 5.4619 0 1.1288 9 1.6229 13 5.0684 15 2.3331 17 3.5960 18 3.3543 21 0.30 3.7867 4 3.2186 11 9.3838 14 1.1251 17 2.7358 18 2.6730 19 7.9788 21 0.35 1.9064 7 1.6585 13 1.5469 16 9.3608 17 1.4428 19 1.0179 20 1.3472 22 0.40 1.8861 9 2.9691 14 1.1780 17 4.2684 18 4.6739 19 2.5830 20 1.8591 22 0.45 6.3578 10 2.6480 15 5.4040 17 1.3140 19 1.1029 20 5.0409 20 2.2618 22 0.50 1.0143 12 1.4582 16 1.7483 18 3.0898 19 2.0964 20 8.2323 20 2.5346 22 0.55 9.4296 12 5.6777 16 4.4056 18 5.9969 19 3.4192 20 1.1859 21 2.6873 22 0.60 5.8649 13 1.7099 17 9.2325 18 1.0110 20 4.9867 20 1.5599 21 2.7424 22 0.65 2.6838 14 4.2359 17 1.6829 19 1.5331 20 6.6897 20 1.9178 21 2.7246 22 0.70 9.6682 14 9.0176 17 2.7541 19 2.1429 20 8.4198 20 2.2404 21 2.6556 22 0.75 2.8803 15 1.7030 18 4.1411 19 2.8107 20 1.0086 21 2.5163 21 2.5532 22 0.80 7.3626 15 2.9212 18 5.8194 19 3.5052 20 1.1619 21 2.7409 21 2.4306 22 0.85 1.6607 16 4.6340 18 7.7425 19 4.1976 20 1.2977 21 2.9141 21 2.2976 22 0.90 3.3775 16 6.8930 18 9.8503 19 4.8638 20 1.4136 21 3.0391 21 2.1608 22 0.95 6.3006 16 9.7192 18 1.2077 20 5.4857 20 1.5089 21 3.1209 21 2.0250 22 1.00 1.0927 17 1.3103 19 1.4357 20 6.0504 20 1.5841 21 3.1649 21 1.8930 22 1.05 1.7813 17 1.7006 19 1.6632 20 6.5502 20 1.6404 21 3.1771 21 1.7668 22 1.10 2.7535 17 2.1370 19 1.8849 20 6.9815 20 1.6796 21 3.1630 21 1.6475 22 1.15 4.0660 17 2.6118 19 2.0966 20 7.3440 20 1.7034 21 3.1274 21 1.5354 22 1.20 5.7703 17 3.1167 19 2.2952 20 7.6395 20 1.7140 21 3.0749 21 1.4309 22 1.25 7.9098 17 3.6427 19 2.4782 20 7.8718 20 1.7132 21 3.0094 21 1.3337 22 1.30 1.0518 18 4.1811 19 2.6442 20 8.0456 20 1.7029 21 2.9340 21 1.2436 22 1.35 1.3616 18 4.7235 19 2.7924 20 8.1660 20 1.6846 21 2.8514 21 1.1602 22 1.40 1.7213 18 5.2624 19 2.9224 20 8.2386 20 1.6598 21 2.7640 21 1.0832 22 1.45 2.1307 18 5.7910 19 3.0345 20 8.2689 20 1.6298 21 2.6735 21 1.0121 22 1.50 2.5882 18 6.3035 19 3.1291 20 8.2621 20 1.5958 21 2.5813 21 9.4646 21 1.55 3.0915 18 6.7952 19 3.2073 20 8.2233 20 1.5586 21 2.4888 21 8.8586 21 1.60 3.6371 18 7.2621 19 3.2697 20 8.1571 20 1.5192 21 2.3968 21 8.2992 21 1.80 6.1565 18 8.8352 19 3.3857 20 7.6956 20 1.3505 21 2.0458 21 6.4550 21 2.00 8.9733 18 9.9008 19 3.3411 20 7.0609 20 1.1831 21 1.7366 21 5.0982 21 2.20 1.1780 19 1.0497 20 3.1977 20 6.3756 20 1.0297 21 1.4738 21 4.0857 21 2.40 1.4345 19 1.0713 20 3.0008 20 5.7057 20 8.9431 20 1.2543 21 3.3185 21 2.60 1.6526 19 1.0643 20 2.7804 20 5.0831 20 7.7725 20 1.0719 21 2.7286 21 2.80 1.8265 19 1.0374 20 2.5555 20 4.5204 20 6.7702 20 9.2055 20 2.2686 21 3.00 1.9557 19 9.9735 19 2.3371 20 4.0199 20 5.9154 20 7.9473 20 1.9051 21 4.00 2.0882 19 7.3946 19 1.4658 20 2.2965 20 3.1864 20 4.1125 20 8.9827 20 5.00 1.8076 19 5.2098 19 9.4064 19 1.3988 20 1.8780 20 2.3696 20 4.9089 20 6.00 1.4607 19 3.6971 19 6.2941 19 9.0566 19 1.1907 20 1.4809 20 2.9650 20 7.00 1.1572 19 2.6811 19 4.3848 19 6.1683 19 7.9934 19 9.8429 19 1.9245 20 8.00 9.1613 18 1.9915 19 3.1638 19 4.3782 19 5.6142 19 6.8629 19 1.3186 20 9.00 7.3029 18 1.5133 19 2.3520 19 3.2144 19 4.0890 19 4.9707 19 9.4237 19 10.00 5.8790 18 1.1737 19 1.7933 19 2.4271 19 3.0681 19 3.7133 19 6.9657 19
Table IV
If ϕ is any of the functions under consideration, a change of 0.001 cm K° in c 2 will induce a corresponding change dϕ in ϕ . This table lists K =dϕ /ϕ ; for a change of ±b ×0.001 cm K° in c 2 , the corresponding value for dϕ /ϕ will be approximately ±b K. (The departure from this approximation will not exceed 5 units in the last tabulated place when λT is less than 0.140 cm K°, and will be less than 2 units in the last tabulated place for greater values of λT .) Example: Let it be required to find R 0−λ /R 0−∞ for λT =0.160 cm K°, when c 2 =1.4355 cm K°. Solution:
b
=
-
1
2 ; K =−0.00441;
d
ϕ
/
ϕ
=
-
1
2
b
K
=
+
0.00221 . From Table I , ϕ =0.019962, dϕ =(0.00221)(0.019962)=0.000044. Hence R 0−λ /R 0−∞ =0.019962+0.000044=0.02001 to four significant figures.
Function
ℛ
0
-
λ
ℛ
0
-
∞
ℛ
λ
ℛ
λ
max
N
0
-
λ
N
0
-
∞
N
λ
N
λ
max N 0−λ N λ
λT in cm K° K K K K K K
0.025 −0.040 .030 .033 .035 .029 .040 .025 .045 .022 .050 −0.0180 −0.0165 −0.0187 −0.0172 −0.0208 −.0200 .055 .0162 .0147 .0168 .0154 .0189 .0182 .060 .0147 .0132 .0153 .0139 .0174 .0167 .065 .0134 .0119 .0141 .0126 .0162 .0154 .070 .0123 .0108 .0130 .0114 .0151 .0143 .075 .0114 .00986 .0120 .0105 .0141 .0133 .080 .0105 .00902 .0112 .00971 .0133 .0125 .085 .00981 .00828 .0105 .00897 .0125 .0118 .090 .00916 .00763 .00981 .00832 .0119 .0111 .095 .00858 .00705 .00923 .00774 .0113 .0105 .100 .00806 .00652 .00870 .00721 .0108 .0100 .105 .00760 .00604 .00823 .00674 .0103 .00953 .110 .00718 .00561 .00780 .00630 .00989 .00909 .115 .00678 .00521 .00741 .00591 .00950 .00870 .120 .00643 .00485 .00706 .00555 .00914 .00834 .125 .00611 .00452 .00673 .00521 .00882 .00800 .130 .00581 .00421 .00642 .00490 .00851 .00769 .140 −.00527 −.00366 −.00588 −.00435 −.00797 −.00714 .150 .00481 .00318 .00542 .00387 .00751 .00666 .160 .00441 .00277 .00501 .00346 .00710 .00625 .170 .00406 .00240 .00465 .00309 .00674 .00588 .180 .00375 .00208 .00433 .00277 .00642 .00556 .190 .00347 .00178 .00405 .00247 .00614 .00526 .200 .00323 .00153 .00380 .00222 .00589 .00501 .250 −.00231 −.00053 −.00284 −.00122 −.00493 −.00401 .300 .00172 +.00012 .00223 .00057 .00432 .00336 .350 .00133 .00057 .00180 .00018 .00389 .00291 .400 .00105 .00091 .00149 +.00022 .00358 .00257 .450 .00084 .00116 .00125 .00047 .00334 .00232 .500 .00069 .00136 .00107 .00067 .00316 .00212 .550 .00057 .00152 .00093 .00083 .00302 .00196 .600 .00048 .00165 .00081 .00096 .00290 .00183. .700 −.00035 +.00184 −.00064 +.00115 −.00273 −.00164 .800 .00026 .00198 .00052 .00129 .00261 .00150 .900 .00020 .00209 .00043 .00140 .00252 .00139 1.000 .00016 .00217 .00036 .00148 .00245 .00131 1.500 .00006 .00240 .00018 .00171 .00227 .00108 2.000 .00003 .00251 .00011 .00182 .00220 .00097