The following is the list of a(n) and b(n) coefficients defining the model levels, accompanied by the corresponding half-level, ph, and full-level, pf, values of pressure for a surface pressure of 1013.250 hPa. Also provided are the Geopotential and Geometric heights, the temperature and density of the level based on the 1976 version of the International Civil Aviation Organization (ICAO) Standard Atmosphere as described at:
CSV Table Export Macro |
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n | a [Pa] | b | ph [hPa] | pf [hPa] | Geopotential Altitude [m] | Geometric Altitude [m] | Temperature [K] | Density [kg/m^3] |
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0 | 0.000000 | 0.000000 | 0.000000 | - | - | - | - | - | 1 | 2.000365 | 0.000000 | 0.0200 | 0.0100 | 79301.79 | 80301.65 | 198.05 | 0.000018 | 2 | 3.102241 | 0.000000 | 0.0310 | 0.0255 | 73721.58 | 74584.91 | 209.21 | 0.000042 | 3 | 4.666084 | 0.000000 | 0.0467 | 0.0388 | 71115.75 | 71918.79 | 214.42 | 0.000063 | 4 | 6.827977 | 0.000000 | 0.0683 | 0.0575 | 68618.43 | 69365.77 | 221.32 | 0.000090 | 5 | 9.746966 | 0.000000 | 0.0975 | 0.0829 | 66210.99 | 66906.53 | 228.06 | 0.000127 | 6 | 13.605424 | 0.000000 | 0.1361 | 0.1168 | 63890.03 | 64537.43 | 234.56 | 0.000173 | 7 | 18.608931 | 0.000000 | 0.1861 | 0.1611 | 61651.77 | 62254.39 | 240.83 | 0.000233 | 8 | 24.985718 | 0.000000 | 0.2499 | 0.2180 | 59492.50 | 60053.46 | 246.87 | 0.000308 | 9 | 32.985710 | 0.000000 | 0.3299 | 0.2899 | 57408.61 | 57930.78 | 252.71 | 0.000400 | 10 | 42.879242 | 0.000000 | 0.4288 | 0.3793 | 55396.62 | 55882.68 | 258.34 | 0.000512 | 11 | 54.955463 | 0.000000 | 0.5496 | 0.4892 | 53453.20 | 53905.62 | 263.78 | 0.000646 | 12 | 69.520576 | 0.000000 | 0.6952 | 0.6224 | 51575.15 | 51996.21 | 269.04 | 0.000806 | 13 | 86.895882 | 0.000000 | 0.8690 | 0.7821 | 49767.41 | 50159.36 | 270.65 | 0.001007 | 14 | 107.415741 | 0.000000 | 1.0742 | 0.9716 | 48048.70 | 48413.94 | 270.65 | 0.001251 | 15 | 131.425507 | 0.000000 | 1.3143 | 1.1942 | 46416.22 | 46756.98 | 269.02 | 0.001546 | 16 | 159.279404 | 0.000000 | 1.5928 | 1.4535 | 44881.17 | 45199.69 | 264.72 | 0.001913 | 17 | 191.338562 | 0.000000 | 1.9134 | 1.7531 | 43440.23 | 43738.55 | 260.68 | 0.002343 | 18 | 227.968948 | 0.000000 | 2.2797 | 2.0965 | 42085.00 | 42364.93 | 256.89 | 0.002843 | 19 | 269.539581 | 0.000000 | 2.6954 | 2.4875 | 40808.05 | 41071.20 | 253.31 | 0.003421 | 20 | 316.420746 | 0.000000 | 3.1642 | 2.9298 | 39602.76 | 39850.56 | 249.94 | 0.004084 | 21 | 368.982361 | 0.000000 | 3.6898 | 3.4270 | 38463.25 | 38696.94 | 246.75 | 0.004838 | 22 | 427.592499 | 0.000000 | 4.2759 | 3.9829 | 37384.22 | 37604.95 | 243.73 | 0.005693 | 23 | 492.616028 | 0.000000 | 4.9262 | 4.6010 | 36360.94 | 36569.72 | 240.86 | 0.006655 | 24 | 564.413452 | 0.000000 | 5.6441 | 5.2851 | 35389.15 | 35586.89 | 238.14 | 0.007731 | 25 | 643.339905 | 0.000000 | 6.4334 | 6.0388 | 34465.00 | 34652.52 | 235.55 | 0.008931 | 26 | 729.744141 | 0.000000 | 7.2974 | 6.8654 | 33585.02 | 33763.05 | 233.09 | 0.010261 | 27 | 823.967834 | 0.000000 | 8.2397 | 7.7686 | 32746.04 | 32915.27 | 230.74 | 0.011729 | 28 | 926.344910 | 0.000000 | 9.2634 | 8.7516 | 31945.53 | 32106.57 | 228.60 | 0.013337 | 29 | 1037.201172 | 0.000000 | 10.3720 | 9.8177 | 31177.59 | 31330.96 | 227.83 | 0.015012 | 30 | 1156.853638 | 0.000000 | 11.5685 | 10.9703 | 30438.54 | 30584.71 | 227.09 | 0.016829 | 31 | 1285.610352 | 0.000000 | 12.8561 | 12.2123 | 29726.69 | 29866.09 | 226.38 | 0.018793 | 32 | 1423.770142 | 0.000000 | 14.2377 | 13.5469 | 29040.48 | 29173.50 | 225.69 | 0.020910 | 33 | 1571.622925 | 0.000000 | 15.7162 | 14.9770 | 28378.46 | 28505.47 | 225.03 | 0.023186 | 34 | 1729.448975 | 0.000000 | 17.2945 | 16.5054 | 27739.29 | 27860.64 | 224.39 | 0.025624 | 35 | 1897.519287 | 0.000000 | 18.9752 | 18.1348 | 27121.74 | 27237.73 | 223.77 | 0.028232 | 36 | 2076.095947 | 0.000000 | 20.7610 | 19.8681 | 26524.63 | 26635.56 | 223.17 | 0.031013 | 37 | 2265.431641 | 0.000000 | 22.6543 | 21.7076 | 25946.90 | 26053.04 | 222.60 | 0.033972 | 38 | 2465.770508 | 0.000000 | 24.6577 | 23.6560 | 25387.55 | 25489.15 | 222.04 | 0.037115 | 39 | 2677.348145 | 0.000000 | 26.7735 | 25.7156 | 24845.63 | 24942.93 | 221.50 | 0.040445 | 40 | 2900.391357 | 0.000000 | 29.0039 | 27.8887 | 24320.28 | 24413.50 | 220.97 | 0.043967 | 41 | 3135.119385 | 0.000000 | 31.3512 | 30.1776 | 23810.67 | 23900.02 | 220.46 | 0.047685 | 42 | 3381.743652 | 0.000000 | 33.8174 | 32.5843 | 23316.04 | 23401.71 | 219.97 | 0.051604 | 43 | 3640.468262 | 0.000000 | 36.4047 | 35.1111 | 22835.68 | 22917.85 | 219.49 | 0.055727 | 44 | 3911.490479 | 0.000000 | 39.1149 | 37.7598 | 22368.91 | 22447.75 | 219.02 | 0.060059 | 45 | 4194.930664 | 0.000000 | 41.9493 | 40.5321 | 21915.16 | 21990.82 | 218.57 | 0.064602 | 46 | 4490.817383 | 0.000000 | 44.9082 | 43.4287 | 21473.98 | 21546.62 | 218.12 | 0.069359 | 47 | 4799.149414 | 0.000000 | 47.9915 | 46.4498 | 21045.00 | 21114.77 | 217.70 | 0.074330 | 48 | 5119.895020 | 0.000000 | 51.1990 | 49.5952 | 20627.87 | 20694.90 | 217.28 | 0.079516 | 49 | 5452.990723 | 0.000000 | 54.5299 | 52.8644 | 20222.24 | 20286.66 | 216.87 | 0.084916 | 50 | 5798.344727 | 0.000000 | 57.9834 | 56.2567 | 19827.95 | 19889.88 | 216.65 | 0.090458 | 51 | 6156.074219 | 0.000000 | 61.5607 | 59.7721 | 19443.55 | 19503.09 | 216.65 | 0.096110 | 52 | 6526.946777 | 0.000000 | 65.2695 | 63.4151 | 19068.35 | 19125.61 | 216.65 | 0.101968 | 53 | 6911.870605 | 0.000000 | 69.1187 | 67.1941 | 18701.27 | 18756.34 | 216.65 | 0.108045 | 54 | 7311.869141 | 0.000000 | 73.1187 | 71.1187 | 18341.27 | 18394.25 | 216.65 | 0.114355 | 55 | 7727.412109 | 0.000007 | 77.2810 | 75.1999 | 17987.41 | 18038.35 | 216.65 | 0.120917 | 56 | 8159.354004 | 0.000024 | 81.6182 | 79.4496 | 17638.78 | 17687.77 | 216.65 | 0.127751 | 57 | 8608.525391 | 0.000059 | 86.1450 | 83.8816 | 17294.53 | 17341.62 | 216.65 | 0.134877 | 58 | 9076.400391 | 0.000112 | 90.8774 | 88.5112 | 16953.83 | 16999.08 | 216.65 | 0.142321 | 59 | 9562.682617 | 0.000199 | 95.8280 | 93.3527 | 16616.09 | 16659.55 | 216.65 | 0.150106 | 60 | 10065.978516 | 0.000340 | 101.0047 | 98.4164 | 16281.10 | 16322.83 | 216.65 | 0.158248 | 61 | 10584.631836 | 0.000562 | 106.4153 | 103.7100 | 15948.85 | 15988.88 | 216.65 | 0.166760 | 62 | 11116.662109 | 0.000890 | 112.0681 | 109.2417 | 15619.30 | 15657.70 | 216.65 | 0.175655 | 63 | 11660.067383 | 0.001353 | 117.9714 | 115.0198 | 15292.44 | 15329.24 | 216.65 | 0.184946 | 64 | 12211.547852 | 0.001992 | 124.1337 | 121.0526 | 14968.24 | 15003.50 | 216.65 | 0.194646 | 65 | 12766.873047 | 0.002857 | 130.5637 | 127.3487 | 14646.68 | 14680.44 | 216.65 | 0.204770 | 66 | 13324.668945 | 0.003971 | 137.2703 | 133.9170 | 14327.75 | 14360.05 | 216.65 | 0.215331 | 67 | 13881.331055 | 0.005378 | 144.2624 | 140.7663 | 14011.41 | 14042.30 | 216.65 | 0.226345 | 68 | 14432.139648 | 0.007133 | 151.5493 | 147.9058 | 13697.65 | 13727.18 | 216.65 | 0.237825 | 69 | 14975.615234 | 0.009261 | 159.1403 | 155.3448 | 13386.45 | 13414.65 | 216.65 | 0.249786 | 70 | 15508.256836 | 0.011806 | 167.0450 | 163.0927 | 13077.79 | 13104.70 | 216.65 | 0.262244 | 71 | 16026.115234 | 0.014816 | 175.2731 | 171.1591 | 12771.64 | 12797.30 | 216.65 | 0.275215 | 72 | 16527.322266 | 0.018318 | 183.8344 | 179.5537 | 12467.99 | 12492.44 | 216.65 | 0.288713 | 73 | 17008.789063 | 0.022355 | 192.7389 | 188.2867 | 12166.81 | 12190.10 | 216.65 | 0.302755 | 74 | 17467.613281 | 0.026964 | 201.9969 | 197.3679 | 11868.08 | 11890.24 | 216.65 | 0.317357 | 75 | 17901.621094 | 0.032176 | 211.6186 | 206.8078 | 11571.79 | 11592.86 | 216.65 | 0.332536 | 76 | 18308.433594 | 0.038026 | 221.6146 | 216.6166 | 11277.92 | 11297.93 | 216.65 | 0.348308 | 77 | 18685.718750 | 0.044548 | 231.9954 | 226.8050 | 10986.70 | 11005.69 | 216.74 | 0.364545 | 78 | 19031.289063 | 0.051773 | 242.7719 | 237.3837 | 10696.22 | 10714.22 | 218.62 | 0.378253 | 79 | 19343.511719 | 0.059728 | 253.9549 | 248.3634 | 10405.61 | 10422.64 | 220.51 | 0.392358 | 80 | 19620.042969 | 0.068448 | 265.5556 | 259.7553 | 10114.89 | 10130.98 | 222.40 | 0.406868 | 81 | 19859.390625 | 0.077958 | 277.5852 | 271.5704 | 9824.08 | 9839.26 | 224.29 | 0.421790 | 82 | 20059.931641 | 0.088286 | 290.0548 | 283.8200 | 9533.20 | 9547.49 | 226.18 | 0.437130 | 83 | 20219.664063 | 0.099462 | 302.9762 | 296.5155 | 9242.26 | 9255.70 | 228.08 | 0.452897 | 84 | 20337.863281 | 0.111505 | 316.3607 | 309.6684 | 8951.30 | 8963.90 | 229.97 | 0.469097 | 85 | 20412.308594 | 0.124448 | 330.2202 | 323.2904 | 8660.32 | 8672.11 | 231.86 | 0.485737 | 86 | 20442.078125 | 0.138313 | 344.5663 | 337.3932 | 8369.35 | 8380.36 | 233.75 | 0.502825 | 87 | 20425.718750 | 0.153125 | 359.4111 | 351.9887 | 8078.41 | 8088.67 | 235.64 | 0.520367 | 88 | 20361.816406 | 0.168910 | 374.7666 | 367.0889 | 7787.51 | 7797.04 | 237.53 | 0.538370 | 89 | 20249.511719 | 0.185689 | 390.6450 | 382.7058 | 7496.68 | 7505.51 | 239.42 | 0.556842 | 90 | 20087.085938 | 0.203491 | 407.0583 | 398.8516 | 7205.93 | 7214.09 | 241.31 | 0.575790 | 91 | 19874.025391 | 0.222333 | 424.0190 | 415.5387 | 6915.29 | 6922.80 | 243.20 | 0.595219 | 92 | 19608.572266 | 0.242244 | 441.5395 | 432.7792 | 6624.76 | 6631.66 | 245.09 | 0.615138 | 93 | 19290.226563 | 0.263242 | 459.6321 | 450.5858 | 6334.38 | 6340.68 | 246.98 | 0.635553 | 94 | 18917.460938 | 0.285354 | 478.3096 | 468.9708 | 6044.15 | 6049.89 | 248.86 | 0.656471 | 95 | 18489.707031 | 0.308598 | 497.5845 | 487.9470 | 5754.10 | 5759.30 | 250.75 | 0.677899 | 96 | 18006.925781 | 0.332939 | 517.4198 | 507.5021 | 5464.60 | 5469.30 | 252.63 | 0.699815 | 97 | 17471.839844 | 0.358254 | 537.7195 | 527.5696 | 5176.77 | 5180.98 | 254.50 | 0.722139 | 98 | 16888.687500 | 0.384363 | 558.3430 | 548.0312 | 4892.26 | 4896.02 | 256.35 | 0.744735 | 99 | 16262.046875 | 0.411125 | 579.1926 | 568.7678 | 4612.58 | 4615.92 | 258.17 | 0.767472 | 100 | 15596.695313 | 0.438391 | 600.1668 | 589.6797 | 4338.77 | 4341.73 | 259.95 | 0.790242 | 101 | 14898.453125 | 0.466003 | 621.1624 | 610.6646 | 4071.80 | 4074.41 | 261.68 | 0.812937 | 102 | 14173.324219 | 0.493800 | 642.0764 | 631.6194 | 3812.53 | 3814.82 | 263.37 | 0.835453 | 103 | 13427.769531 | 0.521619 | 662.8084 | 652.4424 | 3561.70 | 3563.69 | 265.00 | 0.857686 | 104 | 12668.257813 | 0.549301 | 683.2620 | 673.0352 | 3319.94 | 3321.67 | 266.57 | 0.879541 | 105 | 11901.339844 | 0.576692 | 703.3467 | 693.3043 | 3087.75 | 3089.25 | 268.08 | 0.900929 | 106 | 11133.304688 | 0.603648 | 722.9795 | 713.1631 | 2865.54 | 2866.83 | 269.52 | 0.921768 | 107 | 10370.175781 | 0.630036 | 742.0855 | 732.5325 | 2653.58 | 2654.69 | 270.90 | 0.941988 | 108 | 9617.515625 | 0.655736 | 760.5996 | 751.3426 | 2452.04 | 2452.99 | 272.21 | 0.961527 | 109 | 8880.453125 | 0.680643 | 778.4661 | 769.5329 | 2260.99 | 2261.80 | 273.45 | 0.980334 | 110 | 8163.375000 | 0.704669 | 795.6396 | 787.0528 | 2080.41 | 2081.09 | 274.63 | 0.998368 | 111 | 7470.343750 | 0.727739 | 812.0847 | 803.8622 | 1910.19 | 1910.76 | 275.73 | 1.015598 | 112 | 6804.421875 | 0.749797 | 827.7756 | 819.9302 | 1750.14 | 1750.63 | 276.77 | 1.032005 | 113 | 6168.531250 | 0.770798 | 842.6959 | 835.2358 | 1600.04 | 1600.44 | 277.75 | 1.047576 | 114 | 5564.382813 | 0.790717 | 856.8376 | 849.7668 | 1459.58 | 1459.91 | 278.66 | 1.062310 | 115 | 4993.796875 | 0.809536 | 870.2004 | 863.5190 | 1328.43 | 1328.70 | 279.52 | 1.076209 | 116 | 4457.375000 | 0.827256 | 882.7910 | 876.4957 | 1206.21 | 1206.44 | 280.31 | 1.089286 | 117 | 3955.960938 | 0.843881 | 894.6222 | 888.7066 | 1092.54 | 1092.73 | 281.05 | 1.101558 | 118 | 3489.234375 | 0.859432 | 905.7116 | 900.1669 | 987.00 | 987.15 | 281.73 | 1.113047 | 119 | 3057.265625 | 0.873929 | 916.0815 | 910.8965 | 889.17 | 889.29 | 282.37 | 1.123777 | 120 | 2659.140625 | 0.887408 | 925.7571 | 920.9193 | 798.62 | 798.72 | 282.96 | 1.133779 | 121 | 2294.242188 | 0.899900 | 934.7666 | 930.2618 | 714.94 | 715.02 | 283.50 | 1.143084 | 122 | 1961.500000 | 0.911448 | 943.1399 | 938.9532 | 637.70 | 637.76 | 284.00 | 1.151724 | 123 | 1659.476563 | 0.922096 | 950.9082 | 947.0240 | 566.49 | 566.54 | 284.47 | 1.159733 | 124 | 1387.546875 | 0.931881 | 958.1037 | 954.5059 | 500.91 | 500.95 | 284.89 | 1.167147 | 125 | 1143.250000 | 0.940860 | 964.7584 | 961.4311 | 440.58 | 440.61 | 285.29 | 1.173999 | 126 | 926.507813 | 0.949064 | 970.9046 | 967.8315 | 385.14 | 385.16 | 285.65 | 1.180323 | 127 | 734.992188 | 0.956550 | 976.5737 | 973.7392 | 334.22 | 334.24 | 285.98 | 1.186154 | 128 | 568.062500 | 0.963352 | 981.7968 | 979.1852 | 287.51 | 287.52 | 286.28 | 1.191523 | 129 | 424.414063 | 0.969513 | 986.6036 | 984.2002 | 244.68 | 244.69 | 286.56 | 1.196462 | 130 | 302.476563 | 0.975078 | 991.0230 | 988.8133 | 205.44 | 205.44 | 286.81 | 1.201001 | 131 | 202.484375 | 0.980072 | 995.0824 | 993.0527 | 169.50 | 169.51 | 287.05 | 1.205168 | 132 | 122.101563 | 0.984542 | 998.8081 | 996.9452 | 136.62 | 136.62 | 287.26 | 1.208992 | 133 | 62.781250 | 0.988500 | 1002.2250 | 1000.5165 | 106.54 | 106.54 | 287.46 | 1.212498 | 134 | 22.835938 | 0.991984 | 1005.3562 | 1003.7906 | 79.04 | 79.04 | 287.64 | 1.215710 | 135 | 3.757813 | 0.995003 | 1008.2239 | 1006.7900 | 53.92 | 53.92 | 287.80 | 1.218650 | 136 | 0.000000 | 0.997630 | 1010.8487 | 1009.5363 | 30.96 | 30.96 | 287.95 | 1.221341 | 137 | 0.000000 | 1.000000 | 1013.2500 | 1012.0494 | 10.00 | 10.00 | 288.09 | 1.223803 |
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