Table I. The numetical data of S(k) at every 0.1 *-1 in the k-region 0.7-12.8 *-1. k(*-1) 20 C 250 C 500 C 800 C 1000 C 1100 C 1200 C 1300 C 1350 C 1400 C 1450 C 1500 C 1530 C 0.7 0.0100 0.0200 0.0250 0.0730 0.1030 0.1530 0.1730 0.2180 0.2450 0.2500 0.2980 0.3330 0.3950 0.8 0.0100 0.0200 0.0250 0.0710 0.1050 0.1550 0.1780 0.2230 0.2500 0.2500 0.2880 0.3080 0.3580 0.9 0.0100 0.0200 0.0240 0.0710 0.1080 0.1580 0.1850 0.2280 0.2530 0.2600 0.2900 0.3130 0.3480 1.0 0.0100 0.0230 0.0260 0.0740 0.1130 0.1650 0.2030 0.2350 0.2550 0.2700 0.3030 0.3180 0.3580 1.1 0.0130 0.0250 0.0310 0.0860 0.1330 0.1730 0.2250 0.2500 0.2700 0.2900 0.3180 0.3300 0.3800 1.2 0.0150 0.0300 0.0450 0.1090 0.1480 0.1950 0.2530 0.2750 0.2900 0.3150 0.3430 0.3650 0.4130 1.3 0.0180 0.0450 0.0710 0.1390 0.1800 0.2350 0.2880 0.3130 0.3450 0.3550 0.3850 0.4230 0.4400 1.4 0.0230 0.0580 0.1050 0.1650 0.2180 0.2750 0.3380 0.3650 0.3880 0.4080 0.4350 0.4930 0.4930 1.5 0.0300 0.0780 0.1450 0.1980 0.2530 0.3250 0.4000 0.4400 0.4480 0.4630 0.5130 0.5500 0.5630 1.6 0.0480 0.1150 0.1930 0.2880 0.3380 0.4130 0.4900 0.5050 0.5350 0.5730 0.6150 0.6200 0.6500 1.7 0.0800 0.1750 0.2580 0.4130 0.4480 0.5100 0.5950 0.6380 0.6500 0.6430 0.6800 0.7000 0.7950 1.8 0.1250 0.3319 0.4100 0.5500 0.5800 0.6330 0.7180 0.7730 0.7780 0.8030 0.8380 0.8100 0.8980 1.9 0.2750 0.5137 0.6750 0.7292 0.8420 0.8564 0.9167 0.9326 0.9450 0.9430 0.9650 1.0250 1.0430 2.0 0.6000 0.8700 0.9500 1.0711 1.0670 1.1026 1.1072 1.0920 1.1291 1.0961 1.1411 1.1780 1.1600 2.1 1.0380 1.3007 1.3250 1.3248 1.2559 1.2914 1.2855 1.2762 1.2661 1.2562 1.2492 1.2800 1.2725 2.2 1.7750 1.7556 1.6680 1.5529 1.4906 1.4737 1.4265 1.4282 1.3869 1.3671 1.3791 1.3680 1.3429 2.3 2.3250 1.9346 1.7250 1.6273 1.5422 1.5264 1.4740 1.4515 1.4234 1.4098 1.4018 1.3940 1.3423 2.4 2.1500 1.8876 1.6880 1.6240 1.5405 1.4702 1.4559 1.4348 1.3864 1.3971 1.3791 1.3416 1.2974 2.5 1.9250 1.7474 1.5880 1.5749 1.4816 1.3801 1.3572 1.3391 1.2859 1.3312 1.2892 1.2768 1.2363 2.6 1.6000 1.5550 1.4380 1.4199 1.3454 1.2720 1.2529 1.2470 1.2309 1.2458 1.2008 1.2156 1.1759 2.7 1.3750 1.3448 1.2750 1.2320 1.2378 1.1809 1.1899 1.1536 1.1292 1.1490 1.1140 1.1419 1.1230 2.8 1.1580 1.1641 1.1000 1.0923 1.1310 1.1007 1.0872 1.0957 1.0629 1.0748 1.0528 1.0807 1.0432 2.9 0.9880 1.0130 0.9750 0.9699 1.0023 1.0245 1.0259 1.0374 0.9999 0.9980 0.9950 1.0180 0.9708 3.0 0.8400 0.8865 0.8800 0.8818 0.9074 0.9592 0.9560 0.9716 0.9392 0.9578 0.9578 0.9607 0.9360 3.1 0.7650 0.8046 0.8150 0.8281 0.8678 0.8939 0.9035 0.9325 0.9059 0.9070 0.9120 0.9119 0.9078 3.2 0.6830 0.7624 0.7630 0.7842 0.8457 0.8597 0.8555 0.8923 0.8789 0.8808 0.8758 0.8856 0.8852 3.3 0.6500 0.7301 0.7330 0.7551 0.8181 0.8369 0.8322 0.8611 0.8614 0.8592 0.8542 0.8688 0.8657 3.4 0.6500 0.7033 0.7200 0.7464 0.8029 0.8193 0.8117 0.8370 0.8384 0.8421 0.8391 0.8546 0.8600 3.5 0.6580 0.6954 0.7100 0.7563 0.8012 0.8104 0.8026 0.8215 0.8319 0.8318 0.8418 0.8520 0.8673 3.6 0.6750 0.7030 0.7130 0.7768 0.8077 0.8141 0.8122 0.8234 0.8331 0.8341 0.8591 0.8623 0.8876 3.7 0.7050 0.7302 0.7350 0.8084 0.8267 0.8219 0.8405 0.8443 0.8449 0.8612 0.8792 0.8811 0.9103 3.8 0.7350 0.7789 0.7830 0.8462 0.8530 0.8554 0.8770 0.8768 0.8741 0.8861 0.9111 0.9058 0.9382 3.9 0.8350 0.8537 0.8618 0.9004 0.8886 0.8937 0.9151 0.9146 0.9065 0.9180 0.9450 0.9392 0.9665 4.0 0.9300 0.9332 0.9277 0.9509 0.9242 0.9293 0.9569 0.9499 0.9469 0.9480 0.9738 0.9741 0.9951 4.1 1.0150 1.0085 1.0017 1.0126 0.9789 0.9782 1.0083 0.9947 0.9993 0.9962 1.0090 1.0106 1.0177 4.2 1.0800 1.0764 1.0588 1.0532 1.0207 1.0355 1.0542 1.0461 1.0547 1.0397 1.0498 1.0412 1.0435 4.3 1.1700 1.1487 1.0980 1.1035 1.0698 1.0749 1.0901 1.0791 1.0926 1.0736 1.0862 1.0595 1.0694 4.4 1.2550 1.2031 1.1395 1.1274 1.1121 1.1140 1.1064 1.0967 1.1034 1.0981 1.0960 1.0792 1.0782 4.5 1.3100 1.2357 1.1691 1.1387 1.1236 1.1299 1.1181 1.1129 1.1067 1.1181 1.0992 1.0942 1.0858 4.6 1.3200 1.2358 1.1820 1.1352 1.1312 1.1286 1.1132 1.1076 1.1032 1.1216 1.0968 1.0900 1.0760 4.7 1.2800 1.2188 1.1640 1.1219 1.1260 1.1190 1.1026 1.0968 1.0918 1.1130 1.0856 1.0814 1.0688 4.8 1.2200 1.1792 1.1292 1.1038 1.1130 1.1010 1.0830 1.0843 1.0780 1.0840 1.0668 1.0675 1.0552 4.9 1.1600 1.1285 1.0973 1.0758 1.0862 1.0735 1.0593 1.0621 1.0490 1.0460 1.0400 1.0470 1.0344 5.0 1.0930 1.0724 1.0626 1.0529 1.0536 1.0430 1.0456 1.0450 1.0268 1.0250 1.0190 1.0290 1.0115 5.1 1.0258 1.0229 1.0099 1.0230 1.0171 1.0223 1.0287 1.0212 1.0137 1.0130 1.0069 1.0170 1.0025 5.2 0.9516 0.9730 0.9783 0.9914 0.9898 1.0091 1.0002 0.9954 0.9977 1.0000 0.9957 0.9954 0.9819 5.3 0.8973 0.9288 0.9488 0.9577 0.9737 0.9857 0.9811 0.9790 0.9765 0.9820 0.9771 0.9800 0.9733 5.4 0.8609 0.8891 0.9163 0.9369 0.9585 0.9695 0.9563 0.9660 0.9589 0.9622 0.9625 0.9707 0.9631 5.5 0.8515 0.8756 0.8968 0.9199 0.9415 0.9478 0.9340 0.9535 0.9468 0.9415 0.9478 0.9563 0.9515 5.6 0.8440 0.8676 0.8824 0.9064 0.9261 0.9309 0.9293 0.9452 0.9392 0.9352 0.9425 0.9480 0.9501 5.7 0.8495 0.8672 0.8810 0.9056 0.9235 0.9306 0.9316 0.9373 0.9396 0.9325 0.9437 0.9493 0.9512 5.8 0.8548 0.8714 0.8887 0.9085 0.9217 0.9331 0.9354 0.9373 0.9449 0.9325 0.9471 0.9507 0.9568 5.9 0.8779 0.8829 0.8993 0.9189 0.9244 0.9376 0.9434 0.9431 0.9519 0.9397 0.9562 0.9536 0.9671 6.0 0.9100 0.9105 0.9230 0.9369 0.9323 0.9500 0.9576 0.9535 0.9666 0.9550 0.9675 0.9625 0.9772 6.1 0.9549 0.9390 0.9503 0.9614 0.9530 0.9664 0.9768 0.9695 0.9859 0.9730 0.9808 0.9744 0.9894 6.2 1.0048 0.9795 0.9786 0.9804 0.9683 0.9851 0.9961 0.9854 1.0024 0.9859 0.9938 0.9926 0.9980 6.3 1.0425 1.0163 1.0039 1.0011 0.9953 1.0029 1.0088 1.0013 1.0121 1.0088 1.0100 1.0095 1.0148 6.4 1.0891 1.0575 1.0212 1.0225 1.0173 1.0193 1.0210 1.0121 1.0198 1.0263 1.0230 1.0173 1.0270 6.5 1.1125 1.0857 1.0444 1.0432 1.0334 1.0358 1.0351 1.0268 1.0329 1.0377 1.0300 1.0246 1.0303 6.6 1.1429 1.1065 1.0596 1.0529 1.0399 1.0436 1.0393 1.0400 1.0364 1.0423 1.0380 1.0291 1.0337 6.7 1.1493 1.1157 1.0748 1.0600 1.0476 1.0500 1.0430 1.0422 1.0369 1.0419 1.0380 1.0304 1.0310 6.8 1.1466 1.1127 1.0769 1.0641 1.0509 1.0515 1.0431 1.0385 1.0342 1.0395 1.0350 1.0303 1.0259 6.9 1.1268 1.0957 1.0770 1.0593 1.0495 1.0454 1.0389 1.0330 1.0257 1.0313 1.0280 1.0241 1.0210 7.0 1.0890 1.0755 1.0720 1.0475 1.0410 1.0416 1.0313 1.0283 1.0200 1.0241 1.0200 1.0235 1.0163 7.1 1.0631 1.0485 1.0470 1.0386 1.0332 1.0309 1.0247 1.0217 1.0153 1.0190 1.0130 1.0190 1.0090 7.2 1.0362 1.0215 1.0249 1.0236 1.0202 1.0213 1.0164 1.0168 1.0038 1.0140 1.0050 1.0136 1.0037 7.3 0.9934 0.9950 1.0068 1.0033 1.0088 1.0065 1.0074 1.0111 0.9994 1.0041 1.0017 1.0073 0.9985 7.4 0.9626 0.9683 0.9846 0.9924 0.9996 0.9958 1.0010 1.0039 0.9944 0.9973 0.9960 1.0006 0.9917 7.5 0.9359 0.9498 0.9744 0.9780 0.9860 0.9887 0.9951 0.9965 0.9899 0.9895 0.9905 0.9924 0.9866 7.6 0.9153 0.9385 0.9642 0.9656 0.9733 0.9820 0.9868 0.9875 0.9863 0.9847 0.9860 0.9861 0.9834 7.7 0.9108 0.9285 0.9509 0.9612 0.9698 0.9787 0.9828 0.9822 0.9838 0.9812 0.9830 0.9820 0.9813 7.8 0.9184 0.9322 0.9486 0.9566 0.9686 0.9778 0.9805 0.9785 0.9832 0.9793 0.9817 0.9801 0.9815 7.9 0.9301 0.9357 0.9483 0.9569 0.9684 0.9795 0.9798 0.9767 0.9843 0.9790 0.9821 0.9806 0.9836 8.0 0.9491 0.9445 0.9530 0.9600 0.9704 0.9800 0.9808 0.9770 0.9870 0.9805 0.9843 0.9828 0.9866 8.1 0.9707 0.9627 0.9650 0.9699 0.9747 0.9866 0.9839 0.9797 0.9906 0.9835 0.9876 0.9864 0.9908 8.2 0.9919 0.9856 0.9750 0.9766 0.9818 0.9901 0.9880 0.9839 0.9950 0.9877 0.9918 0.9907 0.9955 8.3 1.0079 0.9995 0.9930 0.9862 0.9902 0.9931 0.9928 0.9887 0.9994 0.9925 0.9963 0.9949 0.9998 8.4 1.0244 1.0130 1.0030 1.0006 0.9971 0.9982 0.9981 0.9945 1.0033 0.9975 1.0007 0.9990 1.0036 8.5 1.0438 1.0228 1.0120 1.0100 1.0021 1.0032 1.0029 0.9998 1.0064 1.0023 1.0045 1.0023 1.0066 8.6 1.0532 1.0375 1.0184 1.0200 1.0063 1.0079 1.0071 1.0046 1.0084 1.0065 1.0074 1.0048 1.0085 8.7 1.0604 1.0441 1.0240 1.0230 1.0098 1.0122 1.0105 1.0087 1.0093 1.0097 1.0094 1.0067 1.0094 8.8 1.0645 1.0491 1.0320 1.0250 1.0125 1.0147 1.0126 1.0115 1.0091 1.0117 1.0102 1.0079 1.0094 8.9 1.0638 1.0488 1.0320 1.0250 1.0142 1.0157 1.0137 1.0131 1.0081 1.0124 1.0099 1.0084 1.0087 9.0 1.0613 1.0414 1.0300 1.0230 1.0145 1.0153 1.0138 1.0136 1.0065 1.0121 1.0088 1.0085 1.0074 9.1 1.0545 1.0320 1.0240 1.0205 1.0137 1.0132 1.0128 1.0129 1.0047 1.0108 1.0070 1.0081 1.0058 9.2 1.0376 1.0240 1.0184 1.0152 1.0118 1.0103 1.0111 1.0114 1.0028 1.0086 1.0047 1.0070 1.0040 9.3 1.0195 1.0113 1.0144 1.0088 1.0091 1.0068 1.0088 1.0093 1.0011 1.0060 1.0025 1.0056 1.0021 9.4 1.0012 1.0004 1.0064 1.0041 1.0058 1.0030 1.0063 1.0067 0.9996 1.0032 1.0004 1.0039 1.0003 9.5 0.9840 0.9870 1.0013 0.9997 1.0023 0.9996 1.0036 1.0039 0.9984 1.0006 0.9987 1.0020 0.9987 9.6 0.9688 0.9801 0.9941 0.9942 0.9988 0.9967 1.0010 1.0013 0.9977 0.9983 0.9974 1.0000 0.9974 9.7 0.9627 0.9717 0.9877 0.9901 0.9957 0.9946 0.9986 0.9988 0.9974 0.9966 0.9966 0.9982 0.9964 9.8 0.9600 0.9671 0.9850 0.9878 0.9932 0.9934 0.9966 0.9966 0.9973 0.9954 0.9963 0.9968 0.9958 9.9 0.9621 0.9687 0.9837 0.9862 0.9915 0.9929 0.9951 0.9949 0.9974 0.9949 0.9964 0.9959 0.9956 10.0 0.9653 0.9733 0.9838 0.9858 0.9907 0.9932 0.9941 0.9938 0.9978 0.9949 0.9968 0.9956 0.9958 10.1 0.9712 0.9790 0.9853 0.9868 0.9908 0.9940 0.9938 0.9933 0.9983 0.9953 0.9974 0.9957 0.9963 10.2 0.9806 0.9825 0.9878 0.9885 0.9917 0.9952 0.9940 0.9934 0.9989 0.9961 0.9980 0.9962 0.9971 10.3 0.9916 0.9933 0.9912 0.9911 0.9932 0.9966 0.9947 0.9940 0.9995 0.9970 0.9987 0.9970 0.9979 10.4 0.9990 0.9998 0.9949 0.9942 0.9951 0.9980 0.9958 0.9951 1.0001 0.9980 0.9992 0.9978 0.9988 10.5 1.0099 1.0054 0.9988 0.9974 0.9972 0.9993 0.9971 0.9964 1.0005 0.9989 0.9996 0.9986 0.9997 10.6 1.0198 1.0119 1.0025 1.0006 0.9994 1.0005 0.9985 0.9979 1.0008 0.9997 0.9999 0.9992 1.0003 10.7 1.0245 1.0171 1.0056 1.0035 1.0013 1.0013 0.9998 0.9994 1.0010 1.0002 1.0001 0.9997 1.0008 10.8 1.0272 1.0194 1.0079 1.0057 1.0027 1.0020 1.0010 1.0007 1.0009 1.0007 1.0002 0.9999 1.0011 10.9 1.0279 1.0208 1.0094 1.0073 1.0037 1.0023 1.0019 1.0017 1.0007 1.0009 1.0002 1.0002 1.0013 11.0 1.0266 1.0203 1.0098 1.0080 1.0044 1.0023 1.0023 1.0026 1.0003 1.0010 1.0003 1.0004 1.0014 11.1 1.0231 1.0177 1.0094 1.0080 1.0045 1.0022 1.0025 1.0031 1.0000 1.0010 1.0004 1.0006 1.0014 11.2 1.0177 1.0141 1.0082 1.0073 1.0042 1.0018 1.0026 1.0032 0.9997 1.0010 1.0004 1.0010 1.0013 11.3 1.0113 1.0095 1.0066 1.0061 1.0036 1.0013 1.0023 1.0031 0.9995 1.0011 1.0005 1.0013 1.0012 11.4 1.0038 1.0042 1.0045 1.0045 1.0027 1.0006 1.0019 1.0028 0.9994 1.0010 1.0006 1.0014 1.0011 11.5 0.9966 0.9990 1.0024 1.0027 1.0018 1.0000 1.0015 1.0024 0.9994 1.0010 1.0007 1.0015 1.0010 11.6 0.9914 0.9947 1.0002 1.0008 1.0009 0.9994 1.0010 1.0019 0.9995 1.0011 1.0009 1.0015 1.0009 11.7 0.9875 0.9914 0.9985 0.9991 1.0001 0.9989 1.0005 1.0014 0.9998 1.0012 1.0010 1.0013 1.0008 11.8 0.9844 0.9891 0.9971 0.9978 0.9995 0.9987 1.0001 1.0010 1.0000 1.0012 1.0010 1.0011 1.0006 11.9 0.9832 0.9880 0.9961 0.9968 0.9991 0.9986 0.9998 1.0006 1.0002 1.0012 1.0008 1.0007 1.0003 12.0 0.9834 0.9881 0.9956 0.9963 0.9989 0.9987 0.9995 1.0002 1.0003 1.0011 1.0007 1.0005 1.0000 12.1 0.9850 0.9892 0.9956 0.9962 0.9989 0.9989 0.9993 0.9998 1.0004 1.0009 1.0006 1.0002 0.9998 12.2 0.9880 0.9913 0.9959 0.9964 0.9990 0.9993 0.9992 0.9995 1.0003 1.0008 1.0004 0.9999 0.9996 12.3 0.9917 0.9940 0.9965 0.9970 0.9991 0.9997 0.9991 0.9993 1.0000 1.0005 1.0001 0.9998 0.9994 12.4 0.9957 0.9969 0.9973 0.9978 0.9993 1.0000 0.9990 0.9991 0.9999 1.0001 0.9998 0.9997 0.9993 12.5 0.9998 0.9998 0.9981 0.9986 0.9995 1.0003 0.9989 0.9990 0.9998 0.9998 0.9996 0.9997 0.9992 12.6 1.0032 1.0024 0.9989 0.9995 0.9996 1.0005 0.9990 0.9989 0.9996 0.9994 0.9994 0.9996 0.9992 12.7 1.0059 1.0045 0.9996 1.0002 0.9998 1.0005 0.9991 0.9988 0.9995 0.9991 0.9992 0.9996 0.9992 12.8 1.0077 1.0059 1.0001 1.0009 0.9998 1.0004 0.9991 0.9989 0.9995 0.9989 0.9991 0.9995 0.9992