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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:
A description of how model levels should be interpreted is available in the IFS documentation Part III- chapter 2 (DISCRETISATION --> Vertical discretisation)
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 | 20.000000 | 0.000000 | 0.2000 | 0.1000 | 64947.31 | 65616.42 | 231.60 | 0.000150 |
2 | 38.425343 | 0.000000 | 0.3843 | 0.2921 | 57350.89 | 57872.01 | 252.87 | 0.000402 |
3 | 63.647804 | 0.000000 | 0.6365 | 0.5104 | 53125.16 | 53572.02 | 264.70 | 0.000672 |
4 | 95.636963 | 0.000000 | 0.9564 | 0.7964 | 49623.45 | 50013.12 | 270.65 | 0.001025 |
5 | 134.483307 | 0.000000 | 1.3448 | 1.1506 | 46709.58 | 47054.67 | 269.84 | 0.001485 |
6 | 180.584351 | 0.000000 | 1.8058 | 1.5753 | 44259.61 | 44569.33 | 262.98 | 0.002087 |
7 | 234.779053 | 0.000000 | 2.3478 | 2.0768 | 42156.09 | 42436.98 | 257.09 | 0.002814 |
8 | 298.495789 | 0.000000 | 2.9850 | 2.6664 | 40294.73 | 40551.28 | 251.88 | 0.003688 |
9 | 373.971924 | 0.000000 | 3.7397 | 3.3623 | 38600.97 | 38836.35 | 247.13 | 0.004740 |
10 | 464.618134 | 0.000000 | 4.6462 | 4.1930 | 37018.28 | 37234.70 | 242.70 | 0.006018 |
11 | 575.651001 | 0.000000 | 5.7565 | 5.2013 | 35500.64 | 35699.63 | 238.45 | 0.007599 |
12 | 713.218079 | 0.000000 | 7.1322 | 6.4443 | 34017.99 | 34200.66 | 234.30 | 0.009582 |
13 | 883.660522 | 0.000000 | 8.8366 | 7.9844 | 32561.15 | 32728.48 | 230.22 | 0.012082 |
14 | 1094.834717 | 0.000000 | 10.9483 | 9.8925 | 31127.02 | 31279.89 | 227.78 | 0.015130 |
15 | 1356.474609 | 0.000000 | 13.5647 | 12.2565 | 29702.74 | 29841.91 | 226.35 | 0.018863 |
16 | 1680.640259 | 0.000000 | 16.8064 | 15.1856 | 28287.36 | 28413.56 | 224.94 | 0.023518 |
17 | 2082.273926 | 0.000000 | 20.8227 | 18.8146 | 26880.84 | 26994.77 | 223.53 | 0.029322 |
18 | 2579.888672 | 0.000000 | 25.7989 | 23.3108 | 25483.11 | 25585.48 | 222.13 | 0.036557 |
19 | 3196.421631 | 0.000000 | 31.9642 | 28.8816 | 24094.12 | 24185.62 | 220.74 | 0.045579 |
20 | 3960.291504 | 0.000000 | 39.6029 | 35.7836 | 22713.82 | 22795.11 | 219.36 | 0.056826 |
21 | 4906.708496 | 0.000000 | 49.0671 | 44.3350 | 21342.15 | 21413.91 | 217.99 | 0.070849 |
22 | 6018.019531 | 0.000000 | 60.1802 | 54.6236 | 20014.52 | 20077.62 | 216.66 | 0.087826 |
23 | 7306.631348 | 0.000000 | 73.0663 | 66.6233 | 18755.37 | 18810.77 | 216.65 | 0.107127 |
24 | 8765.053711 | 0.000076 | 87.7274 | 80.3968 | 17563.62 | 17612.18 | 216.65 | 0.129274 |
25 | 10376.126953 | 0.000461 | 104.2288 | 95.9781 | 16440.20 | 16482.75 | 216.65 | 0.154328 |
26 | 12077.446289 | 0.001815 | 122.6137 | 113.4212 | 15381.19 | 15418.43 | 216.65 | 0.182375 |
27 | 13775.325195 | 0.005081 | 142.9017 | 132.7577 | 14382.89 | 14415.44 | 216.65 | 0.213467 |
28 | 15379.805664 | 0.011143 | 165.0886 | 153.9952 | 13441.79 | 13470.22 | 216.65 | 0.247616 |
29 | 16819.474609 | 0.020678 | 189.1466 | 177.1176 | 12554.62 | 12579.42 | 216.65 | 0.284796 |
30 | 18045.183594 | 0.034121 | 215.0251 | 202.0859 | 11718.27 | 11739.87 | 216.65 | 0.324943 |
31 | 19027.695313 | 0.051690 | 242.6523 | 228.8387 | 10930.02 | 10948.81 | 217.10 | 0.367189 |
32 | 19755.109375 | 0.073534 | 272.0593 | 257.3558 | 10175.26 | 10191.54 | 222.01 | 0.403822 |
33 | 20222.205078 | 0.099675 | 303.2174 | 287.6383 | 9444.61 | 9458.63 | 226.76 | 0.441886 |
34 | 20429.863281 | 0.130023 | 336.0439 | 319.6307 | 8737.51 | 8749.51 | 231.36 | 0.481280 |
35 | 20384.480469 | 0.164384 | 370.4072 | 353.2256 | 8054.20 | 8064.40 | 235.80 | 0.521847 |
36 | 20097.402344 | 0.202476 | 406.1328 | 388.2700 | 7395.38 | 7403.97 | 240.08 | 0.563389 |
37 | 19584.330078 | 0.243933 | 443.0086 | 424.5707 | 6761.89 | 6769.08 | 244.20 | 0.605674 |
38 | 18864.750000 | 0.288323 | 480.7907 | 461.8996 | 6154.67 | 6160.62 | 248.14 | 0.648445 |
39 | 17961.357422 | 0.335155 | 519.2093 | 500.0000 | 5574.58 | 5579.46 | 251.92 | 0.691426 |
40 | 16899.468750 | 0.383892 | 557.9734 | 538.5913 | 5022.43 | 5026.39 | 255.50 | 0.734331 |
41 | 15706.447266 | 0.433963 | 596.7774 | 577.3754 | 4498.91 | 4502.09 | 258.91 | 0.776863 |
42 | 14411.124023 | 0.484772 | 635.3060 | 616.0417 | 4004.59 | 4007.11 | 262.12 | 0.818729 |
43 | 13043.218750 | 0.535710 | 673.2403 | 654.2732 | 3539.96 | 3541.93 | 265.14 | 0.859634 |
44 | 11632.758789 | 0.586168 | 710.2627 | 691.7515 | 3105.35 | 3106.86 | 267.97 | 0.899295 |
45 | 10209.500977 | 0.635547 | 746.0635 | 728.1631 | 2701.00 | 2702.14 | 270.59 | 0.937436 |
46 | 8802.356445 | 0.683269 | 780.3455 | 763.2045 | 2327.04 | 2327.89 | 273.02 | 0.973801 |
47 | 7438.803223 | 0.728786 | 812.8303 | 796.5879 | 1983.49 | 1984.11 | 275.26 | 1.008150 |
48 | 6144.314941 | 0.771597 | 843.2634 | 828.0468 | 1670.26 | 1670.70 | 277.29 | 1.040270 |
49 | 4941.778320 | 0.811253 | 871.4203 | 857.3419 | 1387.12 | 1387.43 | 279.13 | 1.069971 |
50 | 3850.913330 | 0.847375 | 897.1118 | 884.2660 | 1133.73 | 1133.93 | 280.78 | 1.097099 |
51 | 2887.696533 | 0.879657 | 920.1893 | 908.6505 | 909.57 | 909.70 | 282.24 | 1.121533 |
52 | 2063.779785 | 0.907884 | 940.5511 | 930.3702 | 713.97 | 714.05 | 283.51 | 1.143192 |
53 | 1385.912598 | 0.931940 | 958.1477 | 949.3494 | 546.06 | 546.11 | 284.60 | 1.162039 |
54 | 855.361755 | 0.951822 | 972.9868 | 965.5672 | 404.72 | 404.74 | 285.52 | 1.178087 |
55 | 467.333588 | 0.967645 | 985.1399 | 979.0633 | 288.55 | 288.57 | 286.27 | 1.191403 |
56 | 210.393890 | 0.979663 | 994.7472 | 989.9435 | 195.85 | 195.85 | 286.88 | 1.202112 |
57 | 65.889244 | 0.988270 | 1002.0236 | 998.3854 | 124.48 | 124.48 | 287.34 | 1.210406 |
58 | 7.367743 | 0.994019 | 1007.2639 | 1004.6437 | 71.89 | 71.89 | 287.68 | 1.216546 |
59 | 0.000000 | 0.997630 | 1010.8487 | 1009.0563 | 34.97 | 34.97 | 287.92 | 1.220871 |
60 | 0.000000 | 1.000000 | 1013.2500 | 1012.0494 | 10.00 | 10.00 | 288.09 | 1.223803 |