# ALMA model
#| freq | tb |
#|  r   |  r |
#| GHz  |  K |
   2.0  297.8387
   3.0  242.9263
   4.0  224.1644
   5.0  207.1577
   6.0  192.7604
   7.0  181.1684
   8.0  172.1198
   9.0  165.1529
  10.0  159.7888
  11.0  155.6172
  12.0  152.3183
  13.0  149.6603
  14.0  147.4750
  15.0  145.6458
  16.0  144.0896
  17.0  142.7457
  18.0  141.5706
  19.0  140.5350
  20.0  139.6129
  21.0  138.7900
  22.0  138.0504
  23.0  137.3876
  24.0  136.7899
  25.0  136.2549
  26.0  135.7731
  27.0  135.3424
  28.0  134.9573
  29.0  134.6100
  30.0  134.3023
  31.0  134.0252
  32.0  133.7740
  33.0  133.5511
  34.0  133.3466
  35.0  133.1581
  36.0  132.9875
  37.0  132.8291
  38.0  132.6769
  39.0  132.5354
  40.0  132.4032
  41.0  132.2721
  42.0  132.1427
  43.0  132.0196
  44.0  131.9001
  45.0  131.7788
  46.0  131.6549
  47.0  131.5340
  48.0  131.4147
  49.0  131.2947
  50.0  131.1666
  51.0  131.0389
  52.0  130.9123
  53.0  130.7863
  54.0  130.6554
  55.0  130.5159
  56.0  130.3773
  57.0  130.2389
  58.0  130.1012
  59.0  129.9610
  60.0  129.8083
  61.0  129.6544
  62.0  129.5004
  63.0  129.3465
  64.0  129.1937
  65.0  129.0365
  66.0  128.8659
  67.0  128.6966
  68.0  128.5265
  69.0  128.3570
  70.0  128.1889
  71.0  128.0191
  72.0  127.8385
  73.0  127.6523
  74.0  127.4683
  75.0  127.2844
  76.0  127.1014
  77.0  126.9180
  78.0  126.7353
  79.0  126.5390
  80.0  126.3373
  81.0  126.1360
  82.0  125.9355
  83.0  125.7364
  84.0  125.5370
  85.0  125.3390
  86.0  125.1392
  87.0  124.9231
  88.0  124.7044
  89.0  124.4883
  90.0  124.2711
  91.0  124.0558
  92.0  123.8401
  93.0  123.6243
  94.0  123.4104
  95.0  123.1856
  96.0  122.9475
  97.0  122.7105
  98.0  122.4724
  99.0  122.2342
 100.0  121.9940
 101.0  121.7522
 102.0  121.5083
 103.0  121.2594
 104.0  121.0020
 105.0  120.7207
 106.0  120.4289
 107.0  120.1223
 108.0  119.7973
 109.0  119.4428
 110.0  119.0463
 111.0  118.5827
 112.0  118.0099
 113.0  117.2340
 114.0  116.0088
 115.0  113.2356
 116.0  114.4833
 117.0  115.8902
 118.0  116.4091
 119.0  116.6226
 120.0  116.6845
 121.0  116.6581
 122.0  116.5786
 123.0  116.4624
 124.0  116.3230
 125.0  116.1658
 126.0  115.9845
 127.0  115.7854
 128.0  115.5808
 129.0  115.3729
 130.0  115.1617
 131.0  114.9484
 132.0  114.7336
 133.0  114.5202
 134.0  114.3051
 135.0  114.0921
 136.0  113.8781
 137.0  113.6658
 138.0  113.4489
 139.0  113.2198
 140.0  112.9910
 141.0  112.7645
 142.0  112.5388
 143.0  112.3145
 144.0  112.0923
 145.0  111.8721
 146.0  111.6526
 147.0  111.4351
 148.0  111.2193
 149.0  111.0056
 150.0  110.7934
 151.0  110.5827
 152.0  110.3619
 153.0  110.1344
 154.0  109.9074
 155.0  109.6829
 156.0  109.4609
 157.0  109.2406
 158.0  109.0216
 159.0  108.8048
 160.0  108.5896
 161.0  108.3771
 162.0  108.1658
 163.0  107.9570
 164.0  107.7494
 165.0  107.5438
 166.0  107.3402
 167.0  107.1300
 168.0  106.9139
 169.0  106.6995
 170.0  106.4875
 171.0  106.2777
 172.0  106.0694
 173.0  105.8626
 174.0  105.6576
 175.0  105.4549
 176.0  105.2532
 177.0  105.0541
 178.0  104.8557
 179.0  104.6597
 180.0  104.4651
 181.0  104.2721
 182.0  104.0807
 183.0  103.8885
 184.0  103.6821
 185.0  103.4769
 186.0  103.2738
 187.0  103.0716
 188.0  102.8716
 189.0  102.6726
 190.0  102.4759
 191.0  102.2805
 192.0  102.0864
 193.0  101.8930
 194.0  101.7012
 195.0  101.5116
 196.0  101.3224
 197.0  101.1347
 198.0  100.9466
 199.0  100.7603
 200.0  100.5739
 201.0  100.3881
 202.0  100.1938
 203.0   99.9985
 204.0   99.8034
 205.0   99.6084
 206.0   99.4140
 207.0   99.2179
 208.0   99.0215
 209.0   98.8234
 210.0   98.6230
 211.0   98.4217
 212.0   98.2155
 213.0   98.0063
 214.0   97.7912
 215.0   97.5687
 216.0   97.3374
 217.0   97.0947
 218.0   96.8351
 219.0   96.5583
 220.0   96.2526
 221.0   95.9128
 222.0   95.5195
 223.0   95.0599
 224.0   94.5069
 225.0   93.8182
 226.0   92.9188
 227.0   91.6833
 228.0   89.8806
 229.0   86.9756
 230.0   81.4974
 231.0   80.9913
 232.0   86.3997
 233.0   89.1586
 234.0   90.7209
 235.0   91.6894
 236.0   92.3107
 237.0   92.7140
 238.0   92.9746
 239.0   93.1383
 240.0   93.2311
 241.0   93.2746
 242.0   93.2836
 243.0   93.2630
 244.0   93.2173
 245.0   93.1563
 246.0   93.0830
 247.0   93.0008
 248.0   92.9115
 249.0   92.8171
 250.0   92.7170
 251.0   92.6131
 252.0   92.5069
 253.0   92.3991
 254.0   92.2886
 255.0   92.1773
 256.0   92.0648
 257.0   91.9518
 258.0   91.8380
 259.0   91.7243
 260.0   91.6104
 261.0   91.4956
 262.0   91.3814
 263.0   91.2676
 264.0   91.1532
 265.0   91.0395
 266.0   90.9264
 267.0   90.8102
 268.0   90.6876
 269.0   90.5638
 270.0   90.4408
 271.0   90.3194
 272.0   90.1980
 273.0   90.0778
 274.0   89.9575
 275.0   89.8381
 276.0   89.7202
 277.0   89.6032
 278.0   89.4854
 279.0   89.3692
 280.0   89.2534
 281.0   89.1382
 282.0   89.0245
 283.0   88.9106
 284.0   88.7980
 285.0   88.6856
 286.0   88.5743
 287.0   88.4629
 288.0   88.3524
 289.0   88.2431
 290.0   88.1338
 291.0   88.0258
 292.0   87.9180
 293.0   87.8092
 294.0   87.6969
 295.0   87.5831
 296.0   87.4700
 297.0   87.3575
 298.0   87.2447
 299.0   87.1334
 300.0   87.0225
 301.0   86.9124
 302.0   86.8024
 303.0   86.6929
 304.0   86.5837
 305.0   86.4747
 306.0   86.3658
 307.0   86.2576
 308.0   86.1503
 309.0   86.0420
 310.0   85.9340
 311.0   85.8259
 312.0   85.7181
 313.0   85.6098
 314.0   85.5004
 315.0   85.3920
 316.0   85.2831
 317.0   85.1728
 318.0   85.0611
 319.0   84.9484
 320.0   84.8343
 321.0   84.7189
 322.0   84.6005
 323.0   84.4747
 324.0   84.3445
 325.0   84.2109
 326.0   84.0722
 327.0   83.9278
 328.0   83.7769
 329.0   83.6172
 330.0   83.4471
 331.0   83.2634
 332.0   83.0631
 333.0   82.8419
 334.0   82.5938
 335.0   82.3088
 336.0   81.9773
 337.0   81.5812
 338.0   81.1002
 339.0   80.4917
 340.0   79.7176
 341.0   78.6690
 342.0   77.2610
 343.0   75.1691
 344.0   72.1559
 345.0   67.3627
 346.0   66.3109
 347.0   69.4510
 348.0   73.3594
 349.0   75.7654
 350.0   77.4192
 351.0   78.4944
 352.0   79.2266
 353.0   79.7460
 354.0   80.1193
 355.0   80.3851
 356.0   80.5649
 357.0   80.6932
 358.0   80.7779
 359.0   80.8316
 360.0   80.8614
 361.0   80.8706
 362.0   80.8664
 363.0   80.8505
 364.0   80.8243
 365.0   80.7913
 366.0   80.7526
 367.0   80.7077
 368.0   80.6588
 369.0   80.6072
 370.0   80.5522
 371.0   80.4958
 372.0   80.4364
 373.0   80.3755
 374.0   80.3138
 375.0   80.2505
 376.0   80.1868
 377.0   80.1222
 378.0   80.0570
 379.0   79.9916
 380.0   79.9307
 381.0   79.8592
 382.0   79.7921
 383.0   79.7256
 384.0   79.6587
 385.0   79.5920
 386.0   79.5247
 387.0   79.4585
 388.0   79.3917
 389.0   79.3243
 390.0   79.2540
 391.0   79.1835
 392.0   79.1133
 393.0   79.0431
 394.0   78.9732
 395.0   78.9036
 396.0   78.8346
 397.0   78.7651
 398.0   78.6958
 399.0   78.6271
 400.0   78.5582
 401.0   78.4900
 402.0   78.4226
 403.0   78.3548
 404.0   78.2868
 405.0   78.2192
 406.0   78.1523
 407.0   78.0858
 408.0   78.0189
 409.0   77.9522
 410.0   77.8858
 411.0   77.8195
 412.0   77.7530
 413.0   77.6875
 414.0   77.6216
 415.0   77.5559
 416.0   77.4904
 417.0   77.4250
 418.0   77.3598
 419.0   77.2943
 420.0   77.2286
 421.0   77.1629
 422.0   77.0966
 423.0   77.0305
 424.0   76.9647
 425.0   76.8986
 426.0   76.8317
 427.0   76.7647
 428.0   76.6949
 429.0   76.6225
 430.0   76.5497
 431.0   76.4760
 432.0   76.4014
 433.0   76.3255
 434.0   76.2486
 435.0   76.1697
 436.0   76.0892
 437.0   76.0066
 438.0   75.9212
 439.0   75.8327
 440.0   75.7403
 441.0   75.6434
 442.0   75.5408
 443.0   75.4323
 444.0   75.3151
 445.0   75.1877
 446.0   75.0481
 447.0   74.8936
 448.0   74.7241
 449.0   74.5203
 450.0   74.2850
 451.0   74.0116
 452.0   73.6782
 453.0   73.2615
 454.0   72.7220
 455.0   72.0340
 456.0   71.1203
 457.0   69.8743
 458.0   68.1336
 459.0   65.6766
 460.0   62.3273
 461.0   63.6328
 462.0   62.0077
 463.0   65.3663
 464.0   67.8119
 465.0   69.5113
 466.0   70.6907
 467.0   71.5217
 468.0   72.1161
 469.0   72.5473
 470.0   72.8642
 471.0   73.1037
 472.0   73.2699
 473.0   73.3926
 474.0   73.4863
 475.0   73.5521
 476.0   73.5969
 477.0   73.6260
 478.0   73.6441
 479.0   73.6526
 480.0   73.6530
 481.0   73.6468
 482.0   73.6354
 483.0   73.6194
 484.0   73.5992
 485.0   73.5765
 486.0   73.5512
 487.0   73.5235
 488.0   73.4939
 489.0   73.4626
 490.0   73.4300
 491.0   73.3966
 492.0   73.3619
 493.0   73.3265
 494.0   73.2902
 495.0   73.2536
 496.0   73.2160
 497.0   73.1785
 498.0   73.1402
 499.0   73.1015
 500.0   73.0629
 501.0   73.0239
 502.0   72.9848
 503.0   72.9454
 504.0   72.9059
 505.0   72.8664
 506.0   72.8266
 507.0   72.7870
 508.0   72.7474
 509.0   72.7075
 510.0   72.6677
 511.0   72.6278
 512.0   72.5878
 513.0   72.5480
 514.0   72.5085
 515.0   72.4688
 516.0   72.4286
 517.0   72.3869
 518.0   72.3447
 519.0   72.3026
 520.0   72.2605
 521.0   72.2185
 522.0   72.1765
 523.0   72.1343
 524.0   72.0924
 525.0   72.0505
 526.0   72.0086
 527.0   71.9667
 528.0   71.9245
 529.0   71.8825
 530.0   71.8407
 531.0   71.7986
 532.0   71.7563
 533.0   71.7143
 534.0   71.6724
 535.0   71.6303
 536.0   71.5877
 537.0   71.5448
 538.0   71.5020
 539.0   71.4590
 540.0   71.4155
 541.0   71.3717
 542.0   71.3278
 543.0   71.2834
 544.0   71.2382
 545.0   71.1924
 546.0   71.1458
 547.0   71.0984
 548.0   71.0500
 549.0   71.0010
 550.0   70.9501
 551.0   70.8980
 552.0   70.8436
 553.0   70.7874
 554.0   70.7290
 555.0   70.6674
 556.0   70.6031
 557.0   71.0776
 558.0   70.4584
 559.0   70.3765
 560.0   70.2876
 561.0   70.1886
 562.0   70.0760
 563.0   69.9507
 564.0   69.8054
 565.0   69.6366
 566.0   69.4327
 567.0   69.1707
 568.0   68.8541
 569.0   68.4537
 570.0   67.9439
 571.0   67.2720
 572.0   66.3591
 573.0   65.0580
 574.0   63.1669
 575.0   60.7107
 576.0   63.9176
 577.0   59.6058
 578.0   61.8401
 579.0   63.9400
 580.0   65.4718
 581.0   66.5672
 582.0   67.3506
 583.0   67.9016
 584.0   68.2875
 585.0   68.5680
 586.0   68.7730
 587.0   68.9278
 588.0   69.0473
 589.0   69.1392
 590.0   69.2092
 591.0   69.2617
 592.0   69.2994
 593.0   69.3261
 594.0   69.3442
 595.0   69.3557
 596.0   69.3620
 597.0   69.3639
 598.0   69.3618
 599.0   69.3557
 600.0   69.3472
 601.0   69.3365
 602.0   69.3238
 603.0   69.3094
 604.0   69.2943
 605.0   69.2771
 606.0   69.2588
 607.0   69.2401
 608.0   69.2207
 609.0   69.2003
 610.0   69.1793
 611.0   69.1577
 612.0   69.1360
 613.0   69.1141
 614.0   69.0914
 615.0   69.0683
 616.0   69.0452
 617.0   69.0218
 618.0   68.9981
 619.0   68.9742
 620.0   68.9501
 621.0   68.9270
 622.0   68.9014
 623.0   68.8769
 624.0   68.8524
 625.0   68.8278
 626.0   68.8029
 627.0   68.7779
 628.0   68.7527
 629.0   68.7279
 630.0   68.7046
 631.0   68.6804
 632.0   68.6562
 633.0   68.6318
 634.0   68.6071
 635.0   68.5824
 636.0   68.5578
 637.0   68.5332
 638.0   68.5083
 639.0   68.4833
 640.0   68.4583
 641.0   68.4334
 642.0   68.4083
 643.0   68.3832
 644.0   68.3580
 645.0   68.3327
 646.0   68.3073
 647.0   68.2818
 648.0   68.2560
 649.0   68.2302
 650.0   68.2044
 651.0   68.1785
 652.0   68.1522
 653.0   68.1258
 654.0   68.0991
 655.0   68.0721
 656.0   68.0450
 657.0   68.0175
 658.0   67.9898
 659.0   67.9616
 660.0   67.9328
 661.0   67.9035
 662.0   67.8736
 663.0   67.8428
 664.0   67.8111
 665.0   67.7785
 666.0   67.7449
 667.0   67.7100
 668.0   67.6734
 669.0   67.6353
 670.0   67.5950
 671.0   67.5524
 672.0   67.5066
 673.0   67.4566
 674.0   67.4020
 675.0   67.3414
 676.0   67.2757
 677.0   67.2020
 678.0   67.1170
 679.0   67.0176
 680.0   66.8986
 681.0   66.7546
 682.0   66.5740
 683.0   66.3535
 684.0   66.0843
 685.0   65.7070
 686.0   65.1961
 687.0   64.5388
 688.0   63.6144
 689.0   62.2916
 690.0   60.3751
 691.0   62.9401
 692.0   62.0684
 693.0   60.4691
 694.0   62.3459
 695.0   63.6386
 696.0   64.5132
 697.0   65.1147
 698.0   65.5379
 699.0   65.8534
 700.0   66.0774
 701.0   66.2535
 702.0   66.3888
 703.0   66.4816
 704.0   66.5556
 705.0   66.6141
 706.0   66.6569
 707.0   66.6881
 708.0   66.7124
 709.0   66.7306
 710.0   66.7415
 711.0   66.7491
 712.0   66.7536
 713.0   66.7549
 714.0   66.7537
 715.0   66.7501
 716.0   66.7446
 717.0   66.7377
 718.0   66.7297
 719.0   66.7205
 720.0   66.7106
 721.0   66.6997
 722.0   66.6880
 723.0   66.6758
 724.0   66.6632
 725.0   66.6504
 726.0   66.6366
 727.0   66.6228
 728.0   66.6088
 729.0   66.5943
 730.0   66.5795
 731.0   66.5644
 732.0   66.5493
 733.0   66.5340
 734.0   66.5186
 735.0   66.5031
 736.0   66.4873
 737.0   66.4714
 738.0   66.4553
 739.0   66.4393
 740.0   66.4232
 741.0   66.4071
 742.0   66.3907
 743.0   66.3743
 744.0   66.3580
 745.0   66.3418
 746.0   66.3253
 747.0   66.3087
 748.0   66.2921
 749.0   66.2755
 750.0   66.2590
 751.0   66.2426
 752.0   66.5669
 753.0   66.2090
 754.0   66.1907
 755.0   66.1729
 756.0   66.1553
 757.0   66.1376
 758.0   66.1196
 759.0   66.1016
 760.0   66.0836
 761.0   66.0655
 762.0   66.0472
 763.0   66.0289
 764.0   66.0107
 765.0   65.9924
 766.0   65.9739
 767.0   65.9555
 768.0   65.9368
 769.0   65.9177
 770.0   65.8986
 771.0   65.8794
 772.0   65.8601
 773.0   65.8406
 774.0   65.8208
 775.0   65.8006
 776.0   65.7800
 777.0   65.7591
 778.0   65.7377
 779.0   65.7159
 780.0   65.6936
 781.0   65.6702
 782.0   65.6461
 783.0   65.6209
 784.0   65.5951
 785.0   65.5678
 786.0   65.5386
 787.0   65.5076
 788.0   65.4740
 789.0   65.4376
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2000.0   59.9199
2001.0   59.9186
