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Program and scripts to prepare and process NICS calculations.

(Using geometries optimized with Gaussian 16 followed by Gaussian 16 NMR calculation)

I originally wanted to write this program in Fortran 95, but I realized that 
because of the varying lenght of the filenames, C++ would be more convenient. 
I'm saving the Fortran program to read from input because, who knows, 
it might come in handy some time in the future.

The general workflow for calculating the NICS values is the following:

1) Get optimized geometry coordinates

2) Realign so that the z-axis is perpendicular to ring
    I considered two approaches to perform this step,
    implemented in "using_inertia_tensor" and
    "using_regression_plane". The method in
    "using_regression_plane" gives much better results

3) Place Bq in center of ring, at +1 z, and at -1 z.

4) Run NMR NBO (NLMO or NCO) NCS calculation

5) Get NICS(1), NICS(-1), and NICS(0) values

6) Get NICS(1)zz, NICS(-1)zz, and NICS(0)zz values

7) Get NLMO or CMO pi-contributions to NICS(1)zz, NICS(-1)zz, NICS(0)zz,
          to get NICS(1)pi-zz, NICS(-1)pi-zz, NICS(0)pi-zz

The only way to get NBO to use CMO with NCS clacluations is by
installing NBO 5 or higher. The version of NBO currently installed is 3.1


 Gaussian output:
 Calculating GIAO nuclear magnetic shielding tensors.
 SCF GIAO Magnetic shielding tensor (ppm):
      1  C    Isotropic =    51.9784   Anisotropy =   145.4443
   XX=    14.2024   YX=   -27.1885   ZX=    -0.0235
   XY=   -45.1857   YY=    -7.2084   ZY=    -0.0047
   XZ=     0.0429   YZ=    -0.0100   ZZ=   148.9413
   Eigenvalues:   -34.2404    41.2344   148.9413
      2  H    Isotropic =    24.6004   Anisotropy =     4.1248
   XX=    27.1477   YX=    -0.0250   ZX=    -0.0014
   XY=    -1.4330   YY=    24.7263   ZY=    -0.0025
   XZ=     0.0053   YZ=     0.0023   ZZ=    21.9271
   Eigenvalues:    21.9271    24.5238    27.3503



 Natural Chemical Shielding Analysis:

 Contributions to Atom    1 Sigma-XX (    14.2026 ppm):
                         Standard Origin              Atomic Origin
 NLMO      Total    Paramagnetic  Diamagnetic   Paramagnetic  Diamagnetic
    1     -28.3302      -40.7407      12.4105       -40.7407      12.4105
    2     -16.1242      -28.9125      12.7882       -28.9125      12.7882
    3      10.9138       -7.1945      18.1083        -7.1945      18.1083
    4    -141.8520     -146.1417       4.2897      -146.1417       4.2897
    5      -3.0937       -5.2055       2.1117        -5.2055       2.1117
    6       4.5384        3.3109       1.2275         3.3109       1.2275
    7      -6.8138       -7.3401       0.5263        -7.3401       0.5263
    8      -4.7364       -4.4878      -0.2486        -4.4878      -0.2486
    9      -8.0675       -9.5787       1.5112        -9.5787       1.5112
   10      -0.9251       -1.6400       0.7150        -1.6400       0.7150
   12     203.6884        0.0057     203.6827         0.0057     203.6827
   22       4.0166       -0.0340       4.0506        -0.0340       4.0506
 Sum       13.2142     -247.9589     261.1731      -247.9589     261.1731

 Contributions to Atom    1 Sigma-YX (   -27.1884 ppm):
                         Standard Origin              Atomic Origin
 NLMO      Total    Paramagnetic  Diamagnetic   Paramagnetic  Diamagnetic
    1      63.5003       61.6134       1.8869        61.6134       1.8869
    2     -59.6707      -56.3388      -3.3319       -56.3388      -3.3319
    3      -9.0658      -10.3160       1.2502       -10.3160       1.2502tom
    4     -17.1701      -16.0594      -1.1107       -16.0594      -1.1107
    5     -13.2449      -13.7078       0.4630       -13.7078       0.4630
    6       7.9660        8.0235      -0.0575         8.0235      -0.0575
    7      -1.0182       -0.5771      -0.4411        -0.5771      -0.4411
    9       1.2649        1.8561      -0.5912         1.8561      -0.5912
   11      -1.1023       -1.3948       0.2924        -1.3948       0.2924
 Sum      -28.5407      -26.9008      -1.6399       -26.9008      -1.6399
 All contributions to Atom    1 Sigma-ZX are negligible.

 Contributions to Atom    1 Sigma-XY (   -45.1856 ppm):
                         Standard Origin              Atomic Origin
 NLMO      Total    Paramagnetic  Diamagnetic   Paramagnetic  Diamagnetic
    1      57.6278       57.0559       0.5719        57.0558       0.5719
    2     -72.9230      -68.1608      -4.7622       -68.1608      -4.7622
    3      -6.2281       -7.8789       1.6507        -7.8789       1.6507
    4     -14.1467      -12.9203      -1.2265       -12.9203      -1.2265
    5      -2.4559       -2.0263      -0.4295        -2.0263      -0.4295
    6      -7.0269       -6.9370      -0.0899        -6.9370      -0.0899
    7      -7.2461       -8.1587       0.9127        -8.1587       0.9127
    8       4.7310        4.3386       0.3923         4.3386       0.3923
    9       3.3212        3.8401      -0.5188         3.8401      -0.5188
   11       1.3135        0.5729       0.7406         0.5729       0.7406
   22      -1.2063       -1.1075      -0.0988        -1.1075      -0.0988
 Sum      -44.2396      -41.3821      -2.8575       -41.3821      -2.8575

 Contributions to Atom    1 Sigma-YY (    -7.2082 ppm):
                         Standard Origin              Atomic Origin
 NLMO      Total    Paramagnetic  Diamagnetic   Paramagnetic  Diamagnetic
    1     -73.3797      -86.1719      12.7922       -86.1719      12.7922
    2    -127.3288     -132.6558       5.3271      -132.6558       5.3270
    3      -9.9095      -30.3052      20.3957       -30.3052      20.3957
    4      12.5314       -1.4188      13.9502        -1.4188      13.9502
    5      -4.9759       -5.7700       0.7940        -5.7700       0.7940
    6     -14.0864      -13.3393      -0.7470       -13.3393      -0.7470
    7       0.7421       -1.2019       1.9440        -1.2019       1.9440
    8      -0.4412       -1.6376       1.1964        -1.6376       1.1964
    9       3.8520       -0.2296       4.0816        -0.2296       4.0816
   11      -1.9507       -1.7287      -0.2220        -1.7287      -0.2220
   12     203.6538       -0.0217     203.6755        -0.0217     203.6755
   21      -2.0846       -3.3458       1.2613        -3.3458       1.2613
   22       6.8097        6.2021       0.6075         6.2021       0.6075
 Sum       -6.5677     -271.6242     265.0566      -271.6242     265.0565
 All contributions to Atom    1 Sigma-ZY are negligible.
 All contributions to Atom    1 Sigma-XZ are negligible.
 All contributions to Atom    1 Sigma-YZ are negligible.

 Contributions to Atom    1 Sigma-ZZ (   148.9417 ppm):
                         Standard Origin              Atomic Origin
 NLMO      Total    Paramagnetic  Diamagnetic   Paramagnetic  Diamagnetic
    1     -28.2619      -24.6142      -3.6478       -39.1506      10.8887
    2     -17.8880      -29.8116      11.9236       -20.4814       2.5934
    3       9.4961        0.9275       8.5686         0.8509       8.6452
    4     -10.5196      -22.4627      11.9431       -13.8493       3.3296
    5      -3.3088       -4.9363       1.6276        -4.4358       1.1270
    6      -0.8747       -0.7140      -0.1607        -1.2073       0.3326
    7      -3.2164       -4.9693       1.7530        -4.0760       0.8596
    8       1.6597        0.3577       1.3020         0.6934       0.9663
    9       3.5881        0.4837       3.1045         1.4597       2.1284
   11      -4.5031       -5.7491       1.2460        -9.2584       4.7553
   12     203.6453       -0.0064     203.6518        -0.0340     203.6793
   21      -1.9862       -1.9156      -0.0706        -1.3854      -0.6008
   22       3.3759        2.1749       1.2010         1.8689       1.5070
 Sum      151.2066      -91.2355     242.4421       -89.0052     240.2118

 Contributions to Isotropic shielding for atom    1 (    51.9787 ppm):
                         Standard Origin              Atomic Origin
 NLMO      Total    Paramagnetic  Diamagnetic   Paramagnetic  Diamagnetic
    1     -43.3239      -50.5089       7.1850       -55.3544      12.0305
    2     -53.7803      -63.7933      10.0130       -60.6832       6.9029
    3       3.5002      -12.1907      15.6909       -12.2162      15.7164
    4     -46.6134      -56.6744      10.0610       -53.8033       7.1898
    5      -3.7928       -5.3039       1.5111        -5.1371       1.3443
    6      -3.4742       -3.5808       0.1066        -3.7452       0.2710
    7      -3.0960       -4.5038       1.4078        -4.2060       1.1100
    8      -1.1726       -1.9225       0.7499        -1.8107       0.6380
    9      -0.2091       -3.1082       2.8991        -2.7829       2.5737
   11      -1.8610       -2.3646       0.5036        -3.5344       1.6733
   12     203.6625       -0.0075     203.6700        -0.0167     203.6792
   21      -1.2046       -1.7917       0.5871        -1.6149       0.4103
   22       4.7340        2.7810       1.9530         2.6790       2.0551
 Sum       53.3686     -202.9694     256.3380      -202.2259     255.5945

 Contributions to Atom    2 Sigma-XX (    27.1478 ppm):
                         Standard Origin              Atomic Origin
 NLMO      Total    Paramagnetic  Diamagnetic   Paramagnetic  Diamagnetic
    1      28.2757        1.6108      26.6649         1.6108      26.6649
    2       0.5285       -1.4660       1.9946        -1.4660       1.9946
    3       4.4091       -0.3416       4.7507        -0.3416       4.7507
    4      -6.2982       -6.9141       0.6158        -6.9141       0.6158
    9      -0.8096       -1.0406       0.2310        -1.0406       0.2310
   22       1.0395       -0.1408       1.1803        -0.1408       1.1803
 Sum       27.1452       -8.2922      35.4373        -8.2922      35.4373

 Contributions to Atom    2 Sigma-YX (    -0.0250 ppm):
                         Standard Origin              Atomic Origin
 NLMO      Total    Paramagnetic  Diamagnetic   Paramagnetic  Diamagnetic
    1       0.6742       -2.3515       3.0257        -2.3515       3.0257
    2      -1.1555       -2.8460       1.6904        -2.8460       1.6904
    3      -1.6199       -2.2884       0.6685        -2.2884       0.6685
    5      -0.3643       -1.4235       1.0592        -1.4235       1.0592
    6       1.2114        1.1275       0.0839         1.1275       0.0839
    9       1.0063        0.6925       0.3138         0.6925       0.3138
 Sum       -0.2478       -7.0894       6.8416        -7.0894       6.8416
 All contributions to Atom    2 Sigma-ZX are negligible.

 Contributions to Atom    2 Sigma-XY (    -1.4330 ppm):
                         Standard Origin              Atomic Origin
 NLMO      Total    Paramagnetic  Diamagnetic   Paramagnetic  Diamagnetic
    1       0.9118       -2.6630       3.5748        -2.6630       3.5748
    2      -3.6650       -3.6514      -0.0136        -3.6514      -0.0136
    3       0.5343       -0.9332       1.4674        -0.9332       1.4674
    4       1.2352       -0.6658       1.9010        -0.6658       1.9010
    7      -0.2779       -1.5268       1.2490        -1.5268       1.2490
 Sum       -1.2615       -9.4402       8.1787        -9.4402       8.1787

 Contributions to Atom    2 Sigma-YY (    24.7263 ppm):
                         Standard Origin              Atomic Origin
 NLMO      Total    Paramagnetic  Diamagnetic   Paramagnetic  Diamagnetic
    1      27.3769        3.8924      23.4846         3.8924      23.4846
    2      -6.4266       -6.1013      -0.3253        -6.1013      -0.3253
    3       3.2288       -0.5571       3.7858        -0.5571       3.7858
    4       1.3096        0.1829       1.1266         0.1829       1.1266
    6      -1.8562       -1.4872      -0.3690        -1.4872      -0.3690
    9       1.1435       -0.0715       1.2150        -0.0715       1.2150
 Sum       24.7759       -4.1418      28.9177        -4.1418      28.9177
 All contributions to Atom    2 Sigma-ZY are negligible.
 All contributions to Atom    2 Sigma-XZ are negligible.
 All contributions to Atom    2 Sigma-YZ are negligible.

 Contributions to Atom    2 Sigma-ZZ (    21.9272 ppm):
                         Standard Origin              Atomic Origin
 NLMO      Total    Paramagnetic  Diamagnetic   Paramagnetic  Diamagnetic
    1      24.3297        1.8301      22.4996         2.4584      21.8713
    2      -0.8422        0.4826      -1.3248        -0.4925      -0.3497
    3      -2.9758       -0.1602      -2.8156        -5.5685       2.5927
    4      -0.3309        1.0132      -1.3441         0.1280      -0.4589
    5      -0.3649       -0.4003       0.0354        -2.5203       2.1555
    7      -0.1215       -0.3286       0.2071        -1.8831       1.7616
   11       0.1846       -0.5202       0.7047        -3.3011       3.4857
   12       1.6444        1.0104       0.6340         2.1767      -0.5323
 Sum       21.5235        2.9271      18.5964        -9.0023      30.5257

 Contributions to Isotropic shielding for atom    2 (    24.6004 ppm):
                         Standard Origin              Atomic Origin
 NLMO      Total    Paramagnetic  Diamagnetic   Paramagnetic  Diamagnetic
    1      26.6608        2.4444      24.2164         2.6539      24.0069
    2      -2.2467       -2.3616       0.1148        -2.6866       0.4399
    3       1.5540       -0.3530       1.9070        -2.1557       3.7097
    4      -1.7732       -1.9060       0.1328        -2.2010       0.4279
    5      -0.1584       -0.5719       0.4134        -1.2785       1.1201
    7      -0.1835       -0.4951       0.3116        -1.0132       0.8297
   11      -0.0585       -0.3312       0.2727        -1.2582       1.1997
   12       1.0068        0.6535       0.3533         1.0423      -0.0355
 Sum       24.8013       -2.9207      27.7220        -6.8972      31.6985

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