Default is to use a total of 8 processors: 8 via shared-memory 1 via Linda Entering Link 1 = C:\G09W\l1.exe PID= 7368. Copyright (c) 1988,1990,1992,1993,1995,1998,2003,2009,2013, Gaussian, Inc. All Rights Reserved. This is part of the Gaussian(R) 09 program. It is based on the Gaussian(R) 03 system (copyright 2003, Gaussian, Inc.), the Gaussian(R) 98 system (copyright 1998, Gaussian, Inc.), the Gaussian(R) 94 system (copyright 1995, Gaussian, Inc.), the Gaussian 92(TM) system (copyright 1992, Gaussian, Inc.), the Gaussian 90(TM) system (copyright 1990, Gaussian, Inc.), the Gaussian 88(TM) system (copyright 1988, Gaussian, Inc.), the Gaussian 86(TM) system (copyright 1986, Carnegie Mellon University), and the Gaussian 82(TM) system (copyright 1983, Carnegie Mellon University). Gaussian is a federally registered trademark of Gaussian, Inc. This software contains proprietary and confidential information, including trade secrets, belonging to Gaussian, Inc. 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By using this program, the user acknowledges that Gaussian, Inc. is engaged in the business of creating and licensing software in the field of computational chemistry and represents and warrants to the licensee that it is not a competitor of Gaussian, Inc. and that it will not use this program in any manner prohibited above. --------------------------------------------------------------- Cite this work as: Gaussian 09, Revision D.01, M. J. Frisch, G. W. Trucks, H. B. Schlegel, G. E. Scuseria, M. A. Robb, J. R. Cheeseman, G. Scalmani, V. Barone, B. Mennucci, G. A. Petersson, H. Nakatsuji, M. Caricato, X. Li, H. P. Hratchian, A. F. Izmaylov, J. Bloino, G. Zheng, J. L. Sonnenberg, M. Hada, M. Ehara, K. Toyota, R. Fukuda, J. Hasegawa, M. Ishida, T. Nakajima, Y. Honda, O. Kitao, H. Nakai, T. Vreven, J. A. Montgomery, Jr., J. E. Peralta, F. Ogliaro, M. Bearpark, J. J. Heyd, E. Brothers, K. N. Kudin, V. N. Staroverov, T. Keith, R. Kobayashi, J. Normand, K. Raghavachari, A. Rendell, J. C. Burant, S. S. Iyengar, J. Tomasi, M. Cossi, N. Rega, J. M. Millam, M. Klene, J. E. Knox, J. B. Cross, V. Bakken, C. Adamo, J. Jaramillo, R. Gomperts, R. E. Stratmann, O. Yazyev, A. J. Austin, R. Cammi, C. Pomelli, J. W. Ochterski, R. L. Martin, K. Morokuma, V. G. Zakrzewski, G. A. Voth, P. Salvador, J. J. Dannenberg, S. Dapprich, A. D. Daniels, O. Farkas, J. B. Foresman, J. V. Ortiz, J. Cioslowski, and D. J. Fox, Gaussian, Inc., Wallingford CT, 2013. ****************************************** Gaussian 09: EM64W-G09RevD.01 13-Apr-2013 21-Feb-2019 ****************************************** %chk=\\icnas2.cc.ic.ac.uk\zh3918\1styearlab\Irene_N2_optf.chk Default route: MaxDisk=10GB ---------------------------------------------------------------------- # opt freq b3lyp/6-31g(d,p) pop=nbo geom=connectivity integral=grid=ul trafine ---------------------------------------------------------------------- 1/14=-1,18=20,19=15,26=4,38=1,57=2/1,3; 2/9=110,12=2,17=6,18=5,40=1/2; 3/5=1,6=6,7=101,11=2,16=1,25=1,30=1,71=1,74=-5,75=-5/1,2,3; 4//1; 5/5=2,38=5/2; 6/7=2,8=2,9=2,10=2,28=1,40=1/1,7; 7//1,2,3,16; 1/14=-1,18=20,19=15,26=4/3(2); 2/9=110/2; 99//99; 2/9=110/2; 3/5=1,6=6,7=101,11=2,16=1,25=1,30=1,71=1,74=-5,75=-5/1,2,3; 4/5=5,16=3,69=1/1; 5/5=2,38=5/2; 7//1,2,3,16; 1/14=-1,18=20,19=15,26=4/3(-5); 2/9=110/2; 6/7=2,8=2,9=2,10=2,19=2,28=1,40=1/1,7; 99/9=1/99; --------------- N2 optimisation --------------- Symbolic Z-matrix: Charge = 0 Multiplicity = 1 N 0.88789 -2.3014 1.49644 N -0.20411 -2.3014 1.49644 GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad Berny optimization. Initialization pass. ---------------------------- ! Initial Parameters ! ! (Angstroms and Degrees) ! -------------------------- -------------------------- ! Name Definition Value Derivative Info. ! -------------------------------------------------------------------------------- ! R1 R(1,2) 1.092 estimate D2E/DX2 ! -------------------------------------------------------------------------------- Trust Radius=3.00D-01 FncErr=1.00D-07 GrdErr=1.00D-06 Number of steps in this run= 20 maximum allowed number of steps= 100. GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad Input orientation: --------------------------------------------------------------------- Center Atomic Atomic Coordinates (Angstroms) Number Number Type X Y Z --------------------------------------------------------------------- 1 7 0 0.887886 -2.301401 1.496443 2 7 0 -0.204114 -2.301401 1.496443 --------------------------------------------------------------------- Stoichiometry N2 Framework group D*H[C*(N.N)] Deg. of freedom 1 Full point group D*H NOp 8 Largest Abelian subgroup D2H NOp 8 Largest concise Abelian subgroup C2 NOp 2 Standard orientation: --------------------------------------------------------------------- Center Atomic Atomic Coordinates (Angstroms) Number Number Type X Y Z --------------------------------------------------------------------- 1 7 0 0.000000 0.000000 0.546000 2 7 0 0.000000 0.000000 -0.546000 --------------------------------------------------------------------- Rotational constants (GHZ): 0.0000000 60.5310951 60.5310951 Standard basis: 6-31G(d,p) (6D, 7F) There are 8 symmetry adapted cartesian basis functions of AG symmetry. There are 1 symmetry adapted cartesian basis functions of B1G symmetry. There are 3 symmetry adapted cartesian basis functions of B2G symmetry. There are 3 symmetry adapted cartesian basis functions of B3G symmetry. There are 1 symmetry adapted cartesian basis functions of AU symmetry. There are 8 symmetry adapted cartesian basis functions of B1U symmetry. There are 3 symmetry adapted cartesian basis functions of B2U symmetry. There are 3 symmetry adapted cartesian basis functions of B3U symmetry. There are 8 symmetry adapted basis functions of AG symmetry. There are 1 symmetry adapted basis functions of B1G symmetry. There are 3 symmetry adapted basis functions of B2G symmetry. There are 3 symmetry adapted basis functions of B3G symmetry. There are 1 symmetry adapted basis functions of AU symmetry. There are 8 symmetry adapted basis functions of B1U symmetry. There are 3 symmetry adapted basis functions of B2U symmetry. There are 3 symmetry adapted basis functions of B3U symmetry. 30 basis functions, 56 primitive gaussians, 30 cartesian basis functions 7 alpha electrons 7 beta electrons nuclear repulsion energy 23.7451311547 Hartrees. NAtoms= 2 NActive= 2 NUniq= 1 SFac= 4.00D+00 NAtFMM= 60 NAOKFM=F Big=F Integral buffers will be 131072 words long. Raffenetti 2 integral format. Two-electron integral symmetry is turned on. One-electron integrals computed using PRISM. NBasis= 30 RedAO= T EigKep= 5.98D-03 NBF= 8 1 3 3 1 8 3 3 NBsUse= 30 1.00D-06 EigRej= -1.00D+00 NBFU= 8 1 3 3 1 8 3 3 ExpMin= 2.12D-01 ExpMax= 4.17D+03 ExpMxC= 6.27D+02 IAcc=3 IRadAn= 5 AccDes= 0.00D+00 Harris functional with IExCor= 402 and IRadAn= 5 diagonalized for initial guess. HarFok: IExCor= 402 AccDes= 0.00D+00 IRadAn= 5 IDoV= 1 UseB2=F ITyADJ=14 ICtDFT= 3500011 ScaDFX= 1.000000 1.000000 1.000000 1.000000 FoFCou: FMM=F IPFlag= 0 FMFlag= 100000 FMFlg1= 0 NFxFlg= 0 DoJE=T BraDBF=F KetDBF=T FulRan=T wScrn= 0.000000 ICntrl= 500 IOpCl= 0 I1Cent= 200000004 NGrid= 0 NMat0= 1 NMatS0= 1 NMatT0= 0 NMatD0= 1 NMtDS0= 0 NMtDT0= 0 Petite list used in FoFCou. Initial guess orbital symmetries: Occupied (SGG) (SGU) (SGG) (SGU) (PIU) (PIU) (SGG) Virtual (PIG) (PIG) (SGU) (SGG) (PIU) (PIU) (SGG) (PIG) (PIG) (SGU) (SGU) (DLTG) (DLTG) (PIU) (PIU) (DLTU) (DLTU) (SGG) (PIG) (PIG) (SGU) (SGG) (SGU) The electronic state of the initial guess is 1-SGG. Keep R1 ints in memory in symmetry-blocked form, NReq=995061. Requested convergence on RMS density matrix=1.00D-08 within 128 cycles. Requested convergence on MAX density matrix=1.00D-06. Requested convergence on energy=1.00D-06. No special actions if energy rises. Integral accuracy reduced to 1.0D-05 until final iterations. Initial convergence to 1.0D-05 achieved. Increase integral accuracy. SCF Done: E(RB3LYP) = -109.523591113 A.U. after 8 cycles NFock= 8 Conv=0.49D-08 -V/T= 2.0089 ********************************************************************** Population analysis using the SCF density. ********************************************************************** Orbital symmetries: Occupied (SGG) (SGU) (SGG) (SGU) (PIU) (PIU) (SGG) Virtual (PIG) (PIG) (SGU) (SGG) (PIU) (PIU) (SGG) (PIG) (PIG) (SGU) (SGU) (DLTG) (DLTG) (PIU) (PIU) (DLTU) (DLTU) (SGG) (PIG) (PIG) (SGU) (SGG) (SGU) The electronic state is 1-SGG. Alpha occ. eigenvalues -- -14.44358 -14.44173 -1.13189 -0.54971 -0.46666 Alpha occ. eigenvalues -- -0.46666 -0.42736 Alpha virt. eigenvalues -- -0.01764 -0.01764 0.41944 0.58765 0.60327 Alpha virt. eigenvalues -- 0.60327 0.64056 0.75352 0.75352 0.80251 Alpha virt. eigenvalues -- 1.25296 1.44563 1.44563 1.56010 1.56010 Alpha virt. eigenvalues -- 1.94745 1.94745 2.41532 2.60728 2.60728 Alpha virt. eigenvalues -- 2.84460 3.29224 3.59935 Condensed to atoms (all electrons): 1 2 1 N 6.441395 0.558605 2 N 0.558605 6.441395 Mulliken charges: 1 1 N 0.000000 2 N 0.000000 Sum of Mulliken charges = 0.00000 Mulliken charges with hydrogens summed into heavy atoms: 1 1 N 0.000000 2 N 0.000000 Electronic spatial extent (au): = 38.4063 Charge= 0.0000 electrons Dipole moment (field-independent basis, Debye): X= 0.0000 Y= 0.0000 Z= 0.0000 Tot= 0.0000 Quadrupole moment (field-independent basis, Debye-Ang): XX= -10.0083 YY= -10.0083 ZZ= -11.5945 XY= 0.0000 XZ= 0.0000 YZ= 0.0000 Traceless Quadrupole moment (field-independent basis, Debye-Ang): XX= 0.5287 YY= 0.5287 ZZ= -1.0574 XY= 0.0000 XZ= 0.0000 YZ= 0.0000 Octapole moment (field-independent basis, Debye-Ang**2): XXX= 0.0000 YYY= 0.0000 ZZZ= 0.0000 XYY= 0.0000 XXY= 0.0000 XXZ= 0.0000 XZZ= 0.0000 YZZ= 0.0000 YYZ= 0.0000 XYZ= 0.0000 Hexadecapole moment (field-independent basis, Debye-Ang**3): XXXX= -7.9431 YYYY= -7.9431 ZZZZ= -30.0549 XXXY= 0.0000 XXXZ= 0.0000 YYYX= 0.0000 YYYZ= 0.0000 ZZZX= 0.0000 ZZZY= 0.0000 XXYY= -2.6477 XXZZ= -5.9760 YYZZ= -5.9760 XXYZ= 0.0000 YYXZ= 0.0000 ZZXY= 0.0000 N-N= 2.374513115468D+01 E-N=-3.032701054496D+02 KE= 1.085535733316D+02 Symmetry AG KE= 5.308977226544D+01 Symmetry B1G KE= 1.437057820275D-34 Symmetry B2G KE= 6.760848392108D-33 Symmetry B3G KE= 7.307354090099D-33 Symmetry AU KE= 4.720657527818D-34 Symmetry B1U KE= 4.864711591676D+01 Symmetry B2U KE= 3.408342574691D+00 Symmetry B3U KE= 3.408342574691D+00 ******************************Gaussian NBO Version 3.1****************************** N A T U R A L A T O M I C O R B I T A L A N D N A T U R A L B O N D O R B I T A L A N A L Y S I S ******************************Gaussian NBO Version 3.1****************************** /RESON / : Allow strongly delocalized NBO set Analyzing the SCF density Job title: N2 optimisation Storage needed: 2904 in NPA, 3709 in NBO ( 805306340 available) NATURAL POPULATIONS: Natural atomic orbital occupancies NAO Atom No lang Type(AO) Occupancy Energy ---------------------------------------------------------- 1 N 1 S Cor( 1S) 1.99974 -14.21927 2 N 1 S Val( 2S) 1.61580 -0.65780 3 N 1 S Ryd( 3S) 0.02263 0.91581 4 N 1 S Ryd( 4S) 0.00002 3.37888 5 N 1 px Val( 2p) 0.99531 -0.21903 6 N 1 px Ryd( 3p) 0.00003 0.67258 7 N 1 py Val( 2p) 0.99531 -0.21903 8 N 1 py Ryd( 3p) 0.00003 0.67258 9 N 1 pz Val( 2p) 1.34953 -0.18298 10 N 1 pz Ryd( 3p) 0.00696 0.62426 11 N 1 dxy Ryd( 3d) 0.00000 1.69654 12 N 1 dxz Ryd( 3d) 0.00467 2.06639 13 N 1 dyz Ryd( 3d) 0.00467 2.06639 14 N 1 dx2y2 Ryd( 3d) 0.00000 1.69654 15 N 1 dz2 Ryd( 3d) 0.00531 2.57126 16 N 2 S Cor( 1S) 1.99974 -14.21927 17 N 2 S Val( 2S) 1.61580 -0.65780 18 N 2 S Ryd( 3S) 0.02263 0.91581 19 N 2 S Ryd( 4S) 0.00002 3.37888 20 N 2 px Val( 2p) 0.99531 -0.21903 21 N 2 px Ryd( 3p) 0.00003 0.67258 22 N 2 py Val( 2p) 0.99531 -0.21903 23 N 2 py Ryd( 3p) 0.00003 0.67258 24 N 2 pz Val( 2p) 1.34953 -0.18298 25 N 2 pz Ryd( 3p) 0.00696 0.62426 26 N 2 dxy Ryd( 3d) 0.00000 1.69654 27 N 2 dxz Ryd( 3d) 0.00467 2.06639 28 N 2 dyz Ryd( 3d) 0.00467 2.06639 29 N 2 dx2y2 Ryd( 3d) 0.00000 1.69654 30 N 2 dz2 Ryd( 3d) 0.00531 2.57126 Summary of Natural Population Analysis: Natural Population Natural ----------------------------------------------- Atom No Charge Core Valence Rydberg Total ----------------------------------------------------------------------- N 1 0.00000 1.99974 4.95595 0.04431 7.00000 N 2 0.00000 1.99974 4.95595 0.04431 7.00000 ======================================================================= * Total * 0.00000 3.99948 9.91189 0.08862 14.00000 Natural Population -------------------------------------------------------- Core 3.99948 ( 99.9871% of 4) Valence 9.91189 ( 99.1189% of 10) Natural Minimal Basis 13.91138 ( 99.3670% of 14) Natural Rydberg Basis 0.08862 ( 0.6330% of 14) -------------------------------------------------------- Atom No Natural Electron Configuration ---------------------------------------------------------------------------- N 1 [core]2S( 1.62)2p( 3.34)3S( 0.02)3p( 0.01)3d( 0.01) N 2 [core]2S( 1.62)2p( 3.34)3S( 0.02)3p( 0.01)3d( 0.01) NATURAL BOND ORBITAL ANALYSIS: Occupancies Lewis Structure Low High Occ. ------------------- ----------------- occ occ Cycle Thresh. Lewis Non-Lewis CR BD 3C LP (L) (NL) Dev ============================================================================= 1(1) 1.90 13.98589 0.01411 2 3 0 2 0 0 0.03 ----------------------------------------------------------------------------- Structure accepted: No low occupancy Lewis orbitals -------------------------------------------------------- Core 3.99948 ( 99.987% of 4) Valence Lewis 9.98641 ( 99.864% of 10) ================== ============================ Total Lewis 13.98589 ( 99.899% of 14) ----------------------------------------------------- Valence non-Lewis 0.00000 ( 0.000% of 14) Rydberg non-Lewis 0.01411 ( 0.101% of 14) ================== ============================ Total non-Lewis 0.01411 ( 0.101% of 14) -------------------------------------------------------- (Occupancy) Bond orbital/ Coefficients/ Hybrids --------------------------------------------------------------------------------- 1. (2.00000) BD ( 1) N 1 - N 2 ( 50.00%) 0.7071* N 1 s( 38.64%)p 1.58( 60.96%)d 0.01( 0.40%) 0.0000 -0.6095 0.1220 -0.0016 0.0000 0.0000 0.0000 0.0000 0.7791 -0.0501 0.0000 0.0000 0.0000 0.0000 -0.0635 ( 50.00%) 0.7071* N 2 s( 38.64%)p 1.58( 60.96%)d 0.01( 0.40%) 0.0000 -0.6095 0.1220 -0.0016 0.0000 0.0000 0.0000 0.0000 -0.7791 0.0501 0.0000 0.0000 0.0000 0.0000 -0.0635 2. (2.00000) BD ( 2) N 1 - N 2 ( 50.00%) 0.7071* N 1 s( 0.00%)p 1.00( 99.53%)d 0.00( 0.47%) 0.0000 0.0000 0.0000 0.0000 0.9977 0.0052 0.0000 0.0000 0.0000 0.0000 0.0000 -0.0683 0.0000 0.0000 0.0000 ( 50.00%) 0.7071* N 2 s( 0.00%)p 1.00( 99.53%)d 0.00( 0.47%) 0.0000 0.0000 0.0000 0.0000 0.9977 0.0052 0.0000 0.0000 0.0000 0.0000 0.0000 0.0683 0.0000 0.0000 0.0000 3. (2.00000) BD ( 3) N 1 - N 2 ( 50.00%) 0.7071* N 1 s( 0.00%)p 1.00( 99.53%)d 0.00( 0.47%) 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.9977 0.0052 0.0000 0.0000 0.0000 0.0000 -0.0683 0.0000 0.0000 ( 50.00%) 0.7071* N 2 s( 0.00%)p 1.00( 99.53%)d 0.00( 0.47%) 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.9977 0.0052 0.0000 0.0000 0.0000 0.0000 0.0683 0.0000 0.0000 4. (1.99974) CR ( 1) N 1 s(100.00%)p 0.00( 0.00%) 1.0000 0.0002 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0002 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 5. (1.99974) CR ( 1) N 2 s(100.00%)p 0.00( 0.00%) 1.0000 0.0002 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 -0.0002 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 6. (1.99320) LP ( 1) N 1 s( 62.65%)p 0.60( 37.30%)d 0.00( 0.05%) -0.0003 0.7901 0.0470 -0.0006 0.0000 0.0000 0.0000 0.0000 0.6103 0.0231 0.0000 0.0000 0.0000 0.0000 -0.0234 7. (1.99320) LP ( 1) N 2 s( 62.65%)p 0.60( 37.30%)d 0.00( 0.05%) -0.0003 0.7901 0.0470 -0.0006 0.0000 0.0000 0.0000 0.0000 -0.6103 -0.0231 0.0000 0.0000 0.0000 0.0000 -0.0234 8. (0.00701) RY*( 1) N 1 s( 48.10%)p 1.03( 49.51%)d 0.05( 2.39%) 0.0000 0.0637 0.6885 0.0534 0.0000 0.0000 0.0000 0.0000 -0.1151 -0.6942 0.0000 0.0000 0.0000 0.0000 -0.1546 9. (0.00004) RY*( 2) N 1 s( 43.19%)p 0.68( 29.47%)d 0.63( 27.33%) 10. (0.00000) RY*( 3) N 1 s( 0.00%)p 1.00(100.00%)d 0.00( 0.00%) 11. (0.00000) RY*( 4) N 1 s( 0.00%)p 1.00(100.00%)d 0.00( 0.00%) 12. (0.00000) RY*( 5) N 1 s( 99.95%)p 0.00( 0.03%)d 0.00( 0.02%) 13. (0.00000) RY*( 6) N 1 s( 0.00%)p 0.00( 0.00%)d 1.00(100.00%) 14. (0.00000) RY*( 7) N 1 s( 0.00%)p 1.00( 0.47%)d99.99( 99.53%) 15. (0.00000) RY*( 8) N 1 s( 0.00%)p 1.00( 0.47%)d99.99( 99.53%) 16. (0.00000) RY*( 9) N 1 s( 0.00%)p 0.00( 0.00%)d 1.00(100.00%) 17. (0.00000) RY*(10) N 1 s( 7.48%)p 3.04( 22.73%)d 9.34( 69.80%) 18. (0.00701) RY*( 1) N 2 s( 48.10%)p 1.03( 49.51%)d 0.05( 2.39%) 0.0000 0.0637 0.6885 0.0534 0.0000 0.0000 0.0000 0.0000 0.1151 0.6942 0.0000 0.0000 0.0000 0.0000 -0.1546 19. (0.00004) RY*( 2) N 2 s( 43.19%)p 0.68( 29.47%)d 0.63( 27.33%) 20. (0.00000) RY*( 3) N 2 s( 0.00%)p 1.00(100.00%)d 0.00( 0.00%) 21. (0.00000) RY*( 4) N 2 s( 0.00%)p 1.00(100.00%)d 0.00( 0.00%) 22. (0.00000) RY*( 5) N 2 s( 99.95%)p 0.00( 0.03%)d 0.00( 0.02%) 23. (0.00000) RY*( 6) N 2 s( 0.00%)p 0.00( 0.00%)d 1.00(100.00%) 24. (0.00000) RY*( 7) N 2 s( 0.00%)p 1.00( 0.47%)d99.99( 99.53%) 25. (0.00000) RY*( 8) N 2 s( 0.00%)p 1.00( 0.47%)d99.99( 99.53%) 26. (0.00000) RY*( 9) N 2 s( 0.00%)p 0.00( 0.00%)d 1.00(100.00%) 27. (0.00000) RY*(10) N 2 s( 7.48%)p 3.04( 22.73%)d 9.34( 69.80%) 28. (0.00000) BD*( 1) N 1 - N 2 ( 50.00%) 0.7071* N 1 s( 38.64%)p 1.58( 60.96%)d 0.01( 0.40%) ( 50.00%) -0.7071* N 2 s( 38.64%)p 1.58( 60.96%)d 0.01( 0.40%) 29. (0.00000) BD*( 2) N 1 - N 2 ( 50.00%) 0.7071* N 1 s( 0.00%)p 1.00( 99.53%)d 0.00( 0.47%) ( 50.00%) -0.7071* N 2 s( 0.00%)p 1.00( 99.53%)d 0.00( 0.47%) 30. (0.00000) BD*( 3) N 1 - N 2 ( 50.00%) 0.7071* N 1 s( 0.00%)p 1.00( 99.53%)d 0.00( 0.47%) ( 50.00%) -0.7071* N 2 s( 0.00%)p 1.00( 99.53%)d 0.00( 0.47%) NHO Directionality and "Bond Bending" (deviations from line of nuclear centers) [Thresholds for printing: angular deviation > 1.0 degree] hybrid p-character > 25.0% orbital occupancy > 0.10e Line of Centers Hybrid 1 Hybrid 2 --------------- ------------------- ------------------ NBO Theta Phi Theta Phi Dev Theta Phi Dev ======================================================================================== 2. BD ( 2) N 1 - N 2 180.0 0.0 90.0 0.0 90.0 90.0 0.0 90.0 3. BD ( 3) N 1 - N 2 180.0 0.0 90.0 90.0 90.0 90.0 90.0 90.0 6. LP ( 1) N 1 -- -- 0.0 0.0 -- -- -- -- 7. LP ( 1) N 2 -- -- 180.0 0.0 -- -- -- -- Second Order Perturbation Theory Analysis of Fock Matrix in NBO Basis Threshold for printing: 0.50 kcal/mol E(2) E(j)-E(i) F(i,j) Donor NBO (i) Acceptor NBO (j) kcal/mol a.u. a.u. =================================================================================================== within unit 1 1. BD ( 1) N 1 - N 2 / 8. RY*( 1) N 1 0.54 2.00 0.030 1. BD ( 1) N 1 - N 2 / 18. RY*( 1) N 2 0.54 2.00 0.030 4. CR ( 1) N 1 / 18. RY*( 1) N 2 4.17 14.96 0.223 5. CR ( 1) N 2 / 8. RY*( 1) N 1 4.17 14.96 0.223 6. LP ( 1) N 1 / 18. RY*( 1) N 2 7.94 1.38 0.093 7. LP ( 1) N 2 / 8. RY*( 1) N 1 7.94 1.38 0.093 Natural Bond Orbitals (Summary): Principal Delocalizations NBO Occupancy Energy (geminal,vicinal,remote) ==================================================================================== Molecular unit 1 (N2) 1. BD ( 1) N 1 - N 2 2.00000 -1.26507 8(g),18(g) 2. BD ( 2) N 1 - N 2 2.00000 -0.46666 3. BD ( 3) N 1 - N 2 2.00000 -0.46666 4. CR ( 1) N 1 1.99974 -14.22001 18(v) 5. CR ( 1) N 2 1.99974 -14.22001 8(v) 6. LP ( 1) N 1 1.99320 -0.63649 18(v) 7. LP ( 1) N 2 1.99320 -0.63649 8(v) 8. RY*( 1) N 1 0.00701 0.73966 9. RY*( 2) N 1 0.00004 1.42903 10. RY*( 3) N 1 0.00000 0.67344 11. RY*( 4) N 1 0.00000 0.67344 12. RY*( 5) N 1 0.00000 3.33328 13. RY*( 6) N 1 0.00000 1.69654 14. RY*( 7) N 1 0.00000 2.06236 15. RY*( 8) N 1 0.00000 2.06236 16. RY*( 9) N 1 0.00000 1.69654 17. RY*( 10) N 1 0.00000 1.94741 18. RY*( 1) N 2 0.00701 0.73966 19. RY*( 2) N 2 0.00004 1.42903 20. RY*( 3) N 2 0.00000 0.67344 21. RY*( 4) N 2 0.00000 0.67344 22. RY*( 5) N 2 0.00000 3.33328 23. RY*( 6) N 2 0.00000 1.69654 24. RY*( 7) N 2 0.00000 2.06236 25. RY*( 8) N 2 0.00000 2.06236 26. RY*( 9) N 2 0.00000 1.69654 27. RY*( 10) N 2 0.00000 1.94741 28. BD*( 1) N 1 - N 2 0.00000 0.93966 29. BD*( 2) N 1 - N 2 0.00000 0.03491 30. BD*( 3) N 1 - N 2 0.00000 0.03491 ------------------------------- Total Lewis 13.98589 ( 99.8992%) Valence non-Lewis 0.00000 ( 0.0000%) Rydberg non-Lewis 0.01411 ( 0.1008%) ------------------------------- Total unit 1 14.00000 (100.0000%) Charge unit 1 0.00000 Calling FoFJK, ICntrl= 2127 FMM=F ISym2X=1 I1Cent= 0 IOpClX= 0 NMat=1 NMatS=1 NMatT=0. ***** Axes restored to original set ***** ------------------------------------------------------------------- Center Atomic Forces (Hartrees/Bohr) Number Number X Y Z ------------------------------------------------------------------- 1 7 0.042835196 0.000000000 0.000000000 2 7 -0.042835196 0.000000000 0.000000000 ------------------------------------------------------------------- Cartesian Forces: Max 0.042835196 RMS 0.024730912 GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad Berny optimization. FormGI is forming the generalized inverse of G from B-inverse, IUseBI=4. Internal Forces: Max 0.042835196 RMS 0.042835196 Search for a local minimum. Step number 1 out of a maximum of 20 All quantities printed in internal units (Hartrees-Bohrs-Radians) Mixed Optimization -- RFO/linear search Second derivative matrix not updated -- first step. The second derivative matrix: R1 R1 1.85037 ITU= 0 Eigenvalues --- 1.85037 RFO step: Lambda=-9.91083226D-04 EMin= 1.85037111D+00 Linear search not attempted -- first point. Iteration 1 RMS(Cart)= 0.01636042 RMS(Int)= 0.00000000 Iteration 2 RMS(Cart)= 0.00000000 RMS(Int)= 0.00000000 ClnCor: largest displacement from symmetrization is 0.00D+00 for atom 0. Variable Old X -DE/DX Delta X Delta X Delta X New X (Linear) (Quad) (Total) R1 2.06358 0.04284 0.00000 0.02314 0.02314 2.08672 Item Value Threshold Converged? Maximum Force 0.042835 0.000450 NO RMS Force 0.042835 0.000300 NO Maximum Displacement 0.011569 0.001800 NO RMS Displacement 0.016360 0.001200 NO Predicted change in Energy=-4.958069D-04 GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad Input orientation: --------------------------------------------------------------------- Center Atomic Atomic Coordinates (Angstroms) Number Number Type X Y Z --------------------------------------------------------------------- 1 7 0 0.894008 -2.301401 1.496443 2 7 0 -0.210236 -2.301401 1.496443 --------------------------------------------------------------------- Stoichiometry N2 Framework group D*H[C*(N.N)] Deg. of freedom 1 Full point group D*H NOp 8 Largest Abelian subgroup D2H NOp 8 Largest concise Abelian subgroup C2 NOp 2 Standard orientation: --------------------------------------------------------------------- Center Atomic Atomic Coordinates (Angstroms) Number Number Type X Y Z --------------------------------------------------------------------- 1 7 0 0.000000 0.000000 0.552122 2 7 0 0.000000 0.000000 -0.552122 --------------------------------------------------------------------- Rotational constants (GHZ): 0.0000000 59.1962227 59.1962227 Standard basis: 6-31G(d,p) (6D, 7F) There are 8 symmetry adapted cartesian basis functions of AG symmetry. There are 1 symmetry adapted cartesian basis functions of B1G symmetry. There are 3 symmetry adapted cartesian basis functions of B2G symmetry. There are 3 symmetry adapted cartesian basis functions of B3G symmetry. There are 1 symmetry adapted cartesian basis functions of AU symmetry. There are 8 symmetry adapted cartesian basis functions of B1U symmetry. There are 3 symmetry adapted cartesian basis functions of B2U symmetry. There are 3 symmetry adapted cartesian basis functions of B3U symmetry. There are 8 symmetry adapted basis functions of AG symmetry. There are 1 symmetry adapted basis functions of B1G symmetry. There are 3 symmetry adapted basis functions of B2G symmetry. There are 3 symmetry adapted basis functions of B3G symmetry. There are 1 symmetry adapted basis functions of AU symmetry. There are 8 symmetry adapted basis functions of B1U symmetry. There are 3 symmetry adapted basis functions of B2U symmetry. There are 3 symmetry adapted basis functions of B3U symmetry. 30 basis functions, 56 primitive gaussians, 30 cartesian basis functions 7 alpha electrons 7 beta electrons nuclear repulsion energy 23.4818497628 Hartrees. NAtoms= 2 NActive= 2 NUniq= 1 SFac= 4.00D+00 NAtFMM= 60 NAOKFM=F Big=F Integral buffers will be 131072 words long. Raffenetti 2 integral format. Two-electron integral symmetry is turned on. One-electron integrals computed using PRISM. NBasis= 30 RedAO= T EigKep= 6.31D-03 NBF= 8 1 3 3 1 8 3 3 NBsUse= 30 1.00D-06 EigRej= -1.00D+00 NBFU= 8 1 3 3 1 8 3 3 Initial guess from the checkpoint file: "\\icnas2.cc.ic.ac.uk\zh3918\1styearlab\Irene_N2_optf.chk" B after Tr= 0.000000 0.000000 0.000000 Rot= 1.000000 0.000000 0.000000 0.000000 Ang= 0.00 deg. Initial guess orbital symmetries: Occupied (SGG) (SGU) (SGG) (SGU) (PIU) (PIU) (SGG) Virtual (SGG) (SGG) (SGG) (SGG) (DLTG) (DLTG) (PIG) (PIG) (PIG) (PIG) (PIG) (PIG) (DLTU) (SGU) (SGU) (DLTU) (SGU) (SGU) (SGU) (PIU) (PIU) (PIU) (PIU) Keep R1 ints in memory in symmetry-blocked form, NReq=995061. Requested convergence on RMS density matrix=1.00D-08 within 128 cycles. Requested convergence on MAX density matrix=1.00D-06. Requested convergence on energy=1.00D-06. No special actions if energy rises. SCF Done: E(RB3LYP) = -109.524124171 A.U. after 6 cycles NFock= 6 Conv=0.44D-08 -V/T= 2.0096 Calling FoFJK, ICntrl= 2127 FMM=F ISym2X=1 I1Cent= 0 IOpClX= 0 NMat=1 NMatS=1 NMatT=0. ***** Axes restored to original set ***** ------------------------------------------------------------------- Center Atomic Forces (Hartrees/Bohr) Number Number X Y Z ------------------------------------------------------------------- 1 7 0.003807942 0.000000000 0.000000000 2 7 -0.003807942 0.000000000 0.000000000 ------------------------------------------------------------------- Cartesian Forces: Max 0.003807942 RMS 0.002198516 GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad Berny optimization. Using GEDIIS/GDIIS optimizer. Internal Forces: Max 0.003807942 RMS 0.003807942 Search for a local minimum. Step number 2 out of a maximum of 20 All quantities printed in internal units (Hartrees-Bohrs-Radians) Mixed Optimization -- RFO/linear search Update second derivatives using D2CorX and points 1 2 DE= -5.33D-04 DEPred=-4.96D-04 R= 1.08D+00 TightC=F SS= 1.41D+00 RLast= 2.31D-02 DXNew= 5.0454D-01 6.9411D-02 Trust test= 1.08D+00 RLast= 2.31D-02 DXMaxT set to 3.00D-01 The second derivative matrix: R1 R1 1.68678 ITU= 1 0 Use linear search instead of GDIIS. Eigenvalues --- 1.68678 RFO step: Lambda= 0.00000000D+00 EMin= 1.68678070D+00 Quartic linear search produced a step of 0.10243. Iteration 1 RMS(Cart)= 0.00167584 RMS(Int)= 0.00000000 Iteration 2 RMS(Cart)= 0.00000000 RMS(Int)= 0.00000000 ClnCor: largest displacement from symmetrization is 2.22D-16 for atom 1. Variable Old X -DE/DX Delta X Delta X Delta X New X (Linear) (Quad) (Total) R1 2.08672 0.00381 0.00237 0.00000 0.00237 2.08909 Item Value Threshold Converged? Maximum Force 0.003808 0.000450 NO RMS Force 0.003808 0.000300 NO Maximum Displacement 0.001185 0.001800 YES RMS Displacement 0.001676 0.001200 NO Predicted change in Energy=-4.287585D-06 GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad Input orientation: --------------------------------------------------------------------- Center Atomic Atomic Coordinates (Angstroms) Number Number Type X Y Z --------------------------------------------------------------------- 1 7 0 0.894635 -2.301401 1.496443 2 7 0 -0.210863 -2.301401 1.496443 --------------------------------------------------------------------- Stoichiometry N2 Framework group D*H[C*(N.N)] Deg. of freedom 1 Full point group D*H NOp 8 Largest Abelian subgroup D2H NOp 8 Largest concise Abelian subgroup C2 NOp 2 Standard orientation: --------------------------------------------------------------------- Center Atomic Atomic Coordinates (Angstroms) Number Number Type X Y Z --------------------------------------------------------------------- 1 7 0 0.000000 0.000000 0.552749 2 7 0 0.000000 0.000000 -0.552749 --------------------------------------------------------------------- Rotational constants (GHZ): 0.0000000 59.0619871 59.0619871 Standard basis: 6-31G(d,p) (6D, 7F) There are 8 symmetry adapted cartesian basis functions of AG symmetry. There are 1 symmetry adapted cartesian basis functions of B1G symmetry. There are 3 symmetry adapted cartesian basis functions of B2G symmetry. There are 3 symmetry adapted cartesian basis functions of B3G symmetry. There are 1 symmetry adapted cartesian basis functions of AU symmetry. There are 8 symmetry adapted cartesian basis functions of B1U symmetry. There are 3 symmetry adapted cartesian basis functions of B2U symmetry. There are 3 symmetry adapted cartesian basis functions of B3U symmetry. There are 8 symmetry adapted basis functions of AG symmetry. There are 1 symmetry adapted basis functions of B1G symmetry. There are 3 symmetry adapted basis functions of B2G symmetry. There are 3 symmetry adapted basis functions of B3G symmetry. There are 1 symmetry adapted basis functions of AU symmetry. There are 8 symmetry adapted basis functions of B1U symmetry. There are 3 symmetry adapted basis functions of B2U symmetry. There are 3 symmetry adapted basis functions of B3U symmetry. 30 basis functions, 56 primitive gaussians, 30 cartesian basis functions 7 alpha electrons 7 beta electrons nuclear repulsion energy 23.4552104708 Hartrees. NAtoms= 2 NActive= 2 NUniq= 1 SFac= 4.00D+00 NAtFMM= 60 NAOKFM=F Big=F Integral buffers will be 131072 words long. Raffenetti 2 integral format. Two-electron integral symmetry is turned on. One-electron integrals computed using PRISM. NBasis= 30 RedAO= T EigKep= 6.34D-03 NBF= 8 1 3 3 1 8 3 3 NBsUse= 30 1.00D-06 EigRej= -1.00D+00 NBFU= 8 1 3 3 1 8 3 3 Initial guess from the checkpoint file: "\\icnas2.cc.ic.ac.uk\zh3918\1styearlab\Irene_N2_optf.chk" B after Tr= 0.000000 0.000000 0.000000 Rot= 1.000000 0.000000 0.000000 0.000000 Ang= 0.00 deg. Initial guess orbital symmetries: Occupied (SGG) (SGU) (SGG) (SGU) (PIU) (PIU) (SGG) Virtual (SGG) (SGG) (SGG) (SGG) (DLTG) (DLTG) (PIG) (PIG) (PIG) (PIG) (PIG) (PIG) (DLTU) (SGU) (SGU) (DLTU) (SGU) (SGU) (SGU) (PIU) (PIU) (PIU) (PIU) Keep R1 ints in memory in symmetry-blocked form, NReq=995061. Requested convergence on RMS density matrix=1.00D-08 within 128 cycles. Requested convergence on MAX density matrix=1.00D-06. Requested convergence on energy=1.00D-06. No special actions if energy rises. SCF Done: E(RB3LYP) = -109.524128676 A.U. after 6 cycles NFock= 6 Conv=0.44D-09 -V/T= 2.0097 Calling FoFJK, ICntrl= 2127 FMM=F ISym2X=1 I1Cent= 0 IOpClX= 0 NMat=1 NMatS=1 NMatT=0. ***** Axes restored to original set ***** ------------------------------------------------------------------- Center Atomic Forces (Hartrees/Bohr) Number Number X Y Z ------------------------------------------------------------------- 1 7 -0.000001043 0.000000000 0.000000000 2 7 0.000001043 0.000000000 0.000000000 ------------------------------------------------------------------- Cartesian Forces: Max 0.000001043 RMS 0.000000602 GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad Berny optimization. Using GEDIIS/GDIIS optimizer. Internal Forces: Max 0.000001043 RMS 0.000001043 Search for a local minimum. Step number 3 out of a maximum of 20 All quantities printed in internal units (Hartrees-Bohrs-Radians) Mixed Optimization -- En-DIIS/RFO-DIIS Update second derivatives using D2CorX and points 2 3 DE= -4.50D-06 DEPred=-4.29D-06 R= 1.05D+00 TightC=F SS= 1.41D+00 RLast= 2.37D-03 DXNew= 5.0454D-01 7.1100D-03 Trust test= 1.05D+00 RLast= 2.37D-03 DXMaxT set to 3.00D-01 The second derivative matrix: R1 R1 1.60717 ITU= 1 1 Use linear search instead of GDIIS. Eigenvalues --- 1.60717 RFO step: Lambda= 0.00000000D+00 EMin= 1.60717128D+00 Quartic linear search produced a step of -0.00028. Iteration 1 RMS(Cart)= 0.00000046 RMS(Int)= 0.00000000 ClnCor: largest displacement from symmetrization is 0.00D+00 for atom 0. Variable Old X -DE/DX Delta X Delta X Delta X New X (Linear) (Quad) (Total) R1 2.08909 0.00000 0.00000 0.00000 0.00000 2.08909 Item Value Threshold Converged? Maximum Force 0.000001 0.000450 YES RMS Force 0.000001 0.000300 YES Maximum Displacement 0.000000 0.001800 YES RMS Displacement 0.000000 0.001200 YES Predicted change in Energy=-3.383628D-13 Optimization completed. -- Stationary point found. ---------------------------- ! Optimized Parameters ! ! (Angstroms and Degrees) ! -------------------------- -------------------------- ! Name Definition Value Derivative Info. ! -------------------------------------------------------------------------------- ! R1 R(1,2) 1.1055 -DE/DX = 0.0 ! -------------------------------------------------------------------------------- GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad Input orientation: --------------------------------------------------------------------- Center Atomic Atomic Coordinates (Angstroms) Number Number Type X Y Z --------------------------------------------------------------------- 1 7 0 0.894635 -2.301401 1.496443 2 7 0 -0.210863 -2.301401 1.496443 --------------------------------------------------------------------- Stoichiometry N2 Framework group D*H[C*(N.N)] Deg. of freedom 1 Full point group D*H NOp 8 Largest Abelian subgroup D2H NOp 8 Largest concise Abelian subgroup C2 NOp 2 Standard orientation: --------------------------------------------------------------------- Center Atomic Atomic Coordinates (Angstroms) Number Number Type X Y Z --------------------------------------------------------------------- 1 7 0 0.000000 0.000000 0.552749 2 7 0 0.000000 0.000000 -0.552749 --------------------------------------------------------------------- Rotational constants (GHZ): 0.0000000 59.0619871 59.0619871 ********************************************************************** Population analysis using the SCF density. ********************************************************************** Orbital symmetries: Occupied (SGG) (SGU) (SGG) (SGU) (PIU) (PIU) (SGG) Virtual (PIG) (PIG) (SGU) (SGG) (PIU) (PIU) (SGG) (PIG) (PIG) (SGU) (SGU) (DLTG) (DLTG) (PIU) (PIU) (DLTU) (DLTU) (SGG) (PIG) (PIG) (SGU) (SGG) (SGU) The electronic state is 1-SGG. Alpha occ. eigenvalues -- -14.44676 -14.44512 -1.12383 -0.55342 -0.46240 Alpha occ. eigenvalues -- -0.46240 -0.42688 Alpha virt. eigenvalues -- -0.02412 -0.02412 0.41366 0.59105 0.60590 Alpha virt. eigenvalues -- 0.60590 0.64005 0.75115 0.75115 0.78521 Alpha virt. eigenvalues -- 1.23891 1.44991 1.44991 1.54800 1.54800 Alpha virt. eigenvalues -- 1.93901 1.93901 2.40434 2.59370 2.59370 Alpha virt. eigenvalues -- 2.81673 3.28940 3.58818 Condensed to atoms (all electrons): 1 2 1 N 6.450381 0.549619 2 N 0.549619 6.450381 Mulliken charges: 1 1 N 0.000000 2 N 0.000000 Sum of Mulliken charges = 0.00000 Mulliken charges with hydrogens summed into heavy atoms: 1 1 N 0.000000 2 N 0.000000 Electronic spatial extent (au): = 38.8468 Charge= 0.0000 electrons Dipole moment (field-independent basis, Debye): X= 0.0000 Y= 0.0000 Z= 0.0000 Tot= 0.0000 Quadrupole moment (field-independent basis, Debye-Ang): XX= -10.0489 YY= -10.0489 ZZ= -11.6070 XY= 0.0000 XZ= 0.0000 YZ= 0.0000 Traceless Quadrupole moment (field-independent basis, Debye-Ang): XX= 0.5194 YY= 0.5194 ZZ= -1.0387 XY= 0.0000 XZ= 0.0000 YZ= 0.0000 Octapole moment (field-independent basis, Debye-Ang**2): XXX= 0.0000 YYY= 0.0000 ZZZ= 0.0000 XYY= 0.0000 XXY= 0.0000 XXZ= 0.0000 XZZ= 0.0000 YZZ= 0.0000 YYZ= 0.0000 XYZ= 0.0000 Hexadecapole moment (field-independent basis, Debye-Ang**3): XXXX= -8.0062 YYYY= -8.0062 ZZZZ= -30.5670 XXXY= 0.0000 XXXZ= 0.0000 YYYX= 0.0000 YYYZ= 0.0000 ZZZX= 0.0000 ZZZY= 0.0000 XXYY= -2.6687 XXZZ= -6.0687 YYZZ= -6.0687 XXYZ= 0.0000 YYXZ= 0.0000 ZZXY= 0.0000 N-N= 2.345521047083D+01 E-N=-3.026346661284D+02 KE= 1.084740715702D+02 Symmetry AG KE= 5.302687893949D+01 Symmetry B1G KE= 1.382927853775D-34 Symmetry B2G KE= 2.043503027376D-32 Symmetry B3G KE= 1.000911033457D-32 Symmetry AU KE= 4.501384544763D-34 Symmetry B1U KE= 4.865763892401D+01 Symmetry B2U KE= 3.394776853354D+00 Symmetry B3U KE= 3.394776853354D+00 ******************************Gaussian NBO Version 3.1****************************** N A T U R A L A T O M I C O R B I T A L A N D N A T U R A L B O N D O R B I T A L A N A L Y S I S ******************************Gaussian NBO Version 3.1****************************** /RESON / : Allow strongly delocalized NBO set Analyzing the SCF density Job title: N2 optimisation Storage needed: 2904 in NPA, 3709 in NBO ( 805306340 available) NATURAL POPULATIONS: Natural atomic orbital occupancies NAO Atom No lang Type(AO) Occupancy Energy ---------------------------------------------------------- 1 N 1 S Cor( 1S) 1.99975 -14.23055 2 N 1 S Val( 2S) 1.62481 -0.66455 3 N 1 S Ryd( 3S) 0.02193 0.91131 4 N 1 S Ryd( 4S) 0.00002 3.37467 5 N 1 px Val( 2p) 0.99541 -0.22154 6 N 1 px Ryd( 3p) 0.00004 0.67327 7 N 1 py Val( 2p) 0.99541 -0.22154 8 N 1 py Ryd( 3p) 0.00004 0.67327 9 N 1 pz Val( 2p) 1.34167 -0.18558 10 N 1 pz Ryd( 3p) 0.00667 0.62727 11 N 1 dxy Ryd( 3d) 0.00000 1.69446 12 N 1 dxz Ryd( 3d) 0.00455 2.05438 13 N 1 dyz Ryd( 3d) 0.00455 2.05438 14 N 1 dx2y2 Ryd( 3d) 0.00000 1.69446 15 N 1 dz2 Ryd( 3d) 0.00514 2.55319 16 N 2 S Cor( 1S) 1.99975 -14.23055 17 N 2 S Val( 2S) 1.62481 -0.66455 18 N 2 S Ryd( 3S) 0.02193 0.91131 19 N 2 S Ryd( 4S) 0.00002 3.37467 20 N 2 px Val( 2p) 0.99541 -0.22154 21 N 2 px Ryd( 3p) 0.00004 0.67327 22 N 2 py Val( 2p) 0.99541 -0.22154 23 N 2 py Ryd( 3p) 0.00004 0.67327 24 N 2 pz Val( 2p) 1.34167 -0.18558 25 N 2 pz Ryd( 3p) 0.00667 0.62727 26 N 2 dxy Ryd( 3d) 0.00000 1.69446 27 N 2 dxz Ryd( 3d) 0.00455 2.05438 28 N 2 dyz Ryd( 3d) 0.00455 2.05438 29 N 2 dx2y2 Ryd( 3d) 0.00000 1.69446 30 N 2 dz2 Ryd( 3d) 0.00514 2.55319 Summary of Natural Population Analysis: Natural Population Natural ----------------------------------------------- Atom No Charge Core Valence Rydberg Total ----------------------------------------------------------------------- N 1 0.00000 1.99975 4.95730 0.04294 7.00000 N 2 0.00000 1.99975 4.95730 0.04294 7.00000 ======================================================================= * Total * 0.00000 3.99951 9.91461 0.08589 14.00000 Natural Population -------------------------------------------------------- Core 3.99951 ( 99.9876% of 4) Valence 9.91461 ( 99.1461% of 10) Natural Minimal Basis 13.91411 ( 99.3865% of 14) Natural Rydberg Basis 0.08589 ( 0.6135% of 14) -------------------------------------------------------- Atom No Natural Electron Configuration ---------------------------------------------------------------------------- N 1 [core]2S( 1.62)2p( 3.33)3S( 0.02)3p( 0.01)3d( 0.01) N 2 [core]2S( 1.62)2p( 3.33)3S( 0.02)3p( 0.01)3d( 0.01) NATURAL BOND ORBITAL ANALYSIS: Occupancies Lewis Structure Low High Occ. ------------------- ----------------- occ occ Cycle Thresh. Lewis Non-Lewis CR BD 3C LP (L) (NL) Dev ============================================================================= 1(1) 1.90 13.98685 0.01315 2 3 0 2 0 0 0.03 ----------------------------------------------------------------------------- Structure accepted: No low occupancy Lewis orbitals -------------------------------------------------------- Core 3.99950 ( 99.988% of 4) Valence Lewis 9.98735 ( 99.873% of 10) ================== ============================ Total Lewis 13.98685 ( 99.906% of 14) ----------------------------------------------------- Valence non-Lewis 0.00000 ( 0.000% of 14) Rydberg non-Lewis 0.01314 ( 0.094% of 14) ================== ============================ Total non-Lewis 0.01315 ( 0.094% of 14) -------------------------------------------------------- (Occupancy) Bond orbital/ Coefficients/ Hybrids --------------------------------------------------------------------------------- 1. (2.00000) BD ( 1) N 1 - N 2 ( 50.00%) 0.7071* N 1 s( 37.78%)p 1.64( 61.82%)d 0.01( 0.39%) 0.0000 -0.6026 0.1212 -0.0015 0.0000 0.0000 0.0000 0.0000 0.7847 0.0499 0.0000 0.0000 0.0000 0.0000 -0.0628 ( 50.00%) 0.7071* N 2 s( 37.78%)p 1.64( 61.82%)d 0.01( 0.39%) 0.0000 -0.6026 0.1212 -0.0015 0.0000 0.0000 0.0000 0.0000 -0.7847 -0.0499 0.0000 0.0000 0.0000 0.0000 -0.0628 2. (2.00000) BD ( 2) N 1 - N 2 ( 50.00%) 0.7071* N 1 s( 0.00%)p 1.00( 99.55%)d 0.00( 0.45%) 0.0000 0.0000 0.0000 0.0000 0.9977 -0.0062 0.0000 0.0000 0.0000 0.0000 0.0000 -0.0675 0.0000 0.0000 0.0000 ( 50.00%) 0.7071* N 2 s( 0.00%)p 1.00( 99.55%)d 0.00( 0.45%) 0.0000 0.0000 0.0000 0.0000 0.9977 -0.0062 0.0000 0.0000 0.0000 0.0000 0.0000 0.0675 0.0000 0.0000 0.0000 3. (2.00000) BD ( 3) N 1 - N 2 ( 50.00%) 0.7071* N 1 s( 0.00%)p 1.00( 99.55%)d 0.00( 0.45%) 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.9977 -0.0062 0.0000 0.0000 0.0000 0.0000 -0.0675 0.0000 0.0000 ( 50.00%) 0.7071* N 2 s( 0.00%)p 1.00( 99.55%)d 0.00( 0.45%) 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.9977 -0.0062 0.0000 0.0000 0.0000 0.0000 0.0675 0.0000 0.0000 4. (1.99975) CR ( 1) N 1 s(100.00%)p 0.00( 0.00%) 1.0000 0.0002 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0002 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 5. (1.99975) CR ( 1) N 2 s(100.00%)p 0.00( 0.00%) 1.0000 0.0002 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 -0.0002 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 6. (1.99367) LP ( 1) N 1 s( 63.49%)p 0.57( 36.46%)d 0.00( 0.05%) -0.0003 0.7955 0.0459 -0.0006 0.0000 0.0000 0.0000 0.0000 0.6034 -0.0218 0.0000 0.0000 0.0000 0.0000 -0.0228 7. (1.99367) LP ( 1) N 2 s( 63.49%)p 0.57( 36.46%)d 0.00( 0.05%) -0.0003 0.7955 0.0459 -0.0006 0.0000 0.0000 0.0000 0.0000 -0.6034 0.0218 0.0000 0.0000 0.0000 0.0000 -0.0228 8. (0.00653) RY*( 1) N 1 s( 46.94%)p 1.08( 50.69%)d 0.05( 2.37%) 0.0000 0.0622 0.6802 0.0530 0.0000 0.0000 0.0000 0.0000 -0.1142 0.7028 0.0000 0.0000 0.0000 0.0000 -0.1539 9. (0.00004) RY*( 2) N 1 s( 43.70%)p 0.65( 28.23%)d 0.64( 28.06%) 10. (0.00000) RY*( 3) N 1 s( 0.00%)p 1.00(100.00%)d 0.00( 0.00%) 11. (0.00000) RY*( 4) N 1 s( 0.00%)p 1.00(100.00%)d 0.00( 0.00%) 12. (0.00000) RY*( 5) N 1 s( 99.92%)p 0.00( 0.04%)d 0.00( 0.04%) 13. (0.00000) RY*( 6) N 1 s( 0.00%)p 0.00( 0.00%)d 1.00(100.00%) 14. (0.00000) RY*( 7) N 1 s( 0.00%)p 1.00( 0.45%)d99.99( 99.55%) 15. (0.00000) RY*( 8) N 1 s( 0.00%)p 1.00( 0.45%)d99.99( 99.55%) 16. (0.00000) RY*( 9) N 1 s( 0.00%)p 0.00( 0.00%)d 1.00(100.00%) 17. (0.00000) RY*(10) N 1 s( 8.16%)p 2.79( 22.76%)d 8.46( 69.08%) 18. (0.00653) RY*( 1) N 2 s( 46.94%)p 1.08( 50.69%)d 0.05( 2.37%) 0.0000 0.0622 0.6802 0.0530 0.0000 0.0000 0.0000 0.0000 0.1142 -0.7028 0.0000 0.0000 0.0000 0.0000 -0.1539 19. (0.00004) RY*( 2) N 2 s( 43.70%)p 0.65( 28.23%)d 0.64( 28.06%) 20. (0.00000) RY*( 3) N 2 s( 0.00%)p 1.00(100.00%)d 0.00( 0.00%) 21. (0.00000) RY*( 4) N 2 s( 0.00%)p 1.00(100.00%)d 0.00( 0.00%) 22. (0.00000) RY*( 5) N 2 s( 99.92%)p 0.00( 0.04%)d 0.00( 0.04%) 23. (0.00000) RY*( 6) N 2 s( 0.00%)p 0.00( 0.00%)d 1.00(100.00%) 24. (0.00000) RY*( 7) N 2 s( 0.00%)p 1.00( 0.45%)d99.99( 99.55%) 25. (0.00000) RY*( 8) N 2 s( 0.00%)p 1.00( 0.45%)d99.99( 99.55%) 26. (0.00000) RY*( 9) N 2 s( 0.00%)p 0.00( 0.00%)d 1.00(100.00%) 27. (0.00000) RY*(10) N 2 s( 8.16%)p 2.79( 22.76%)d 8.46( 69.08%) 28. (0.00000) BD*( 1) N 1 - N 2 ( 50.00%) 0.7071* N 1 s( 37.78%)p 1.64( 61.82%)d 0.01( 0.39%) ( 50.00%) -0.7071* N 2 s( 37.78%)p 1.64( 61.82%)d 0.01( 0.39%) 29. (0.00000) BD*( 2) N 1 - N 2 ( 50.00%) 0.7071* N 1 s( 0.00%)p 1.00( 99.55%)d 0.00( 0.45%) ( 50.00%) -0.7071* N 2 s( 0.00%)p 1.00( 99.55%)d 0.00( 0.45%) 30. (0.00000) BD*( 3) N 1 - N 2 ( 50.00%) 0.7071* N 1 s( 0.00%)p 1.00( 99.55%)d 0.00( 0.45%) ( 50.00%) -0.7071* N 2 s( 0.00%)p 1.00( 99.55%)d 0.00( 0.45%) NHO Directionality and "Bond Bending" (deviations from line of nuclear centers) [Thresholds for printing: angular deviation > 1.0 degree] hybrid p-character > 25.0% orbital occupancy > 0.10e Line of Centers Hybrid 1 Hybrid 2 --------------- ------------------- ------------------ NBO Theta Phi Theta Phi Dev Theta Phi Dev ======================================================================================== 2. BD ( 2) N 1 - N 2 180.0 0.0 90.0 0.0 90.0 90.0 0.0 90.0 3. BD ( 3) N 1 - N 2 180.0 0.0 90.0 90.0 90.0 90.0 90.0 90.0 6. LP ( 1) N 1 -- -- 0.0 0.0 -- -- -- -- 7. LP ( 1) N 2 -- -- 180.0 0.0 -- -- -- -- Second Order Perturbation Theory Analysis of Fock Matrix in NBO Basis Threshold for printing: 0.50 kcal/mol E(2) E(j)-E(i) F(i,j) Donor NBO (i) Acceptor NBO (j) kcal/mol a.u. a.u. =================================================================================================== within unit 1 1. BD ( 1) N 1 - N 2 / 8. RY*( 1) N 1 0.51 1.97 0.028 1. BD ( 1) N 1 - N 2 / 18. RY*( 1) N 2 0.51 1.97 0.028 4. CR ( 1) N 1 / 18. RY*( 1) N 2 3.99 14.96 0.218 5. CR ( 1) N 2 / 8. RY*( 1) N 1 3.99 14.96 0.218 6. LP ( 1) N 1 / 18. RY*( 1) N 2 7.39 1.37 0.090 7. LP ( 1) N 2 / 8. RY*( 1) N 1 7.39 1.37 0.090 Natural Bond Orbitals (Summary): Principal Delocalizations NBO Occupancy Energy (geminal,vicinal,remote) ==================================================================================== Molecular unit 1 (N2) 1. BD ( 1) N 1 - N 2 2.00000 -1.24061 8(g),18(g) 2. BD ( 2) N 1 - N 2 2.00000 -0.46240 3. BD ( 3) N 1 - N 2 2.00000 -0.46240 4. CR ( 1) N 1 1.99975 -14.23124 18(v) 5. CR ( 1) N 2 1.99975 -14.23124 8(v) 6. LP ( 1) N 1 1.99367 -0.63887 18(v) 7. LP ( 1) N 2 1.99367 -0.63887 8(v) 8. RY*( 1) N 1 0.00653 0.73202 9. RY*( 2) N 1 0.00004 1.44194 10. RY*( 3) N 1 0.00000 0.67427 11. RY*( 4) N 1 0.00000 0.67427 12. RY*( 5) N 1 0.00000 3.33419 13. RY*( 6) N 1 0.00000 1.69446 14. RY*( 7) N 1 0.00000 2.05054 15. RY*( 8) N 1 0.00000 2.05054 16. RY*( 9) N 1 0.00000 1.69446 17. RY*( 10) N 1 0.00000 1.91884 18. RY*( 1) N 2 0.00653 0.73202 19. RY*( 2) N 2 0.00004 1.44194 20. RY*( 3) N 2 0.00000 0.67427 21. RY*( 4) N 2 0.00000 0.67427 22. RY*( 5) N 2 0.00000 3.33419 23. RY*( 6) N 2 0.00000 1.69446 24. RY*( 7) N 2 0.00000 2.05054 25. RY*( 8) N 2 0.00000 2.05054 26. RY*( 9) N 2 0.00000 1.69446 27. RY*( 10) N 2 0.00000 1.91884 28. BD*( 1) N 1 - N 2 0.00000 0.89835 29. BD*( 2) N 1 - N 2 0.00000 0.02502 30. BD*( 3) N 1 - N 2 0.00000 0.02502 ------------------------------- Total Lewis 13.98685 ( 99.9061%) Valence non-Lewis 0.00000 ( 0.0000%) Rydberg non-Lewis 0.01314 ( 0.0939%) ------------------------------- Total unit 1 14.00000 (100.0000%) Charge unit 1 0.00000 1|1| IMPERIAL COLLEGE-SKCH-135-008|FOpt|RB3LYP|6-31G(d,p)|N2|ZH3918|21 -Feb-2019|0||# opt freq b3lyp/6-31g(d,p) pop=nbo geom=connectivity int egral=grid=ultrafine||N2 optimisation||0,1|N,0.8946348025,-2.30140054, 1.49644273|N,-0.2108629825,-2.30140054,1.49644273||Version=EM64W-G09Re vD.01|State=1-SGG|HF=-109.5241287|RMSD=4.414e-010|RMSF=6.021e-007|Dipo le=0.,0.,0.|Quadrupole=-0.7722738,0.3861369,0.3861369,0.,0.,0.|PG=D*H [C*(N1.N1)]||@ IT IS IMPOSSIBLE TO MEDITATE ON TIME AND THE MYSTERY OF NATURE WITHOUT AN OVERWHELMING EMOTION AT THE LIMITATIONS OF HUMAN INTELLIGENCE. -- ALFRED NORTH WHITEHEAD Job cpu time: 0 days 0 hours 0 minutes 47.0 seconds. File lengths (MBytes): RWF= 5 Int= 0 D2E= 0 Chk= 1 Scr= 1 Normal termination of Gaussian 09 at Thu Feb 21 22:50:53 2019. Link1: Proceeding to internal job step number 2. ---------------------------------------------------------------------- #N Geom=AllCheck Guess=TCheck SCRF=Check GenChk RB3LYP/6-31G(d,p) Freq ---------------------------------------------------------------------- 1/10=4,29=7,30=1,38=1,40=1/1,3; 2/12=2,40=1/2; 3/5=1,6=6,7=101,11=2,14=-4,16=1,25=1,30=1,70=2,71=2,74=-5,75=-5,116=1,140=1/1,2,3; 4/5=101/1; 5/5=2,98=1/2; 8/6=4,10=90,11=11/1; 11/6=1,8=1,9=11,15=111,16=1/1,2,10; 10/6=1/2; 6/7=2,8=2,9=2,10=2,18=1,28=1,40=1/1,7; 7/8=1,10=1,25=1/1,2,3,16; 1/10=4,30=1/3; 99//99; Structure from the checkpoint file: "\\icnas2.cc.ic.ac.uk\zh3918\1styearlab\Irene_N2_optf.chk" --------------- N2 optimisation --------------- Charge = 0 Multiplicity = 1 Redundant internal coordinates found in file. N,0,0.8946348025,-2.30140054,1.49644273 N,0,-0.2108629825,-2.30140054,1.49644273 Recover connectivity data from disk. GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad Berny optimization. Initialization pass. ---------------------------- ! Initial Parameters ! ! (Angstroms and Degrees) ! -------------------------- -------------------------- ! Name Definition Value Derivative Info. ! -------------------------------------------------------------------------------- ! R1 R(1,2) 1.1055 calculate D2E/DX2 analytically ! -------------------------------------------------------------------------------- Trust Radius=3.00D-01 FncErr=1.00D-07 GrdErr=1.00D-07 Number of steps in this run= 2 maximum allowed number of steps= 2. GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad Input orientation: --------------------------------------------------------------------- Center Atomic Atomic Coordinates (Angstroms) Number Number Type X Y Z --------------------------------------------------------------------- 1 7 0 0.894635 -2.301401 1.496443 2 7 0 -0.210863 -2.301401 1.496443 --------------------------------------------------------------------- Stoichiometry N2 Framework group D*H[C*(N.N)] Deg. of freedom 1 Full point group D*H NOp 8 Largest Abelian subgroup D2H NOp 8 Largest concise Abelian subgroup C2 NOp 2 Standard orientation: --------------------------------------------------------------------- Center Atomic Atomic Coordinates (Angstroms) Number Number Type X Y Z --------------------------------------------------------------------- 1 7 0 0.000000 0.000000 0.552749 2 7 0 0.000000 0.000000 -0.552749 --------------------------------------------------------------------- Rotational constants (GHZ): 0.0000000 59.0619871 59.0619871 Standard basis: 6-31G(d,p) (6D, 7F) There are 8 symmetry adapted cartesian basis functions of AG symmetry. There are 1 symmetry adapted cartesian basis functions of B1G symmetry. There are 3 symmetry adapted cartesian basis functions of B2G symmetry. There are 3 symmetry adapted cartesian basis functions of B3G symmetry. There are 1 symmetry adapted cartesian basis functions of AU symmetry. There are 8 symmetry adapted cartesian basis functions of B1U symmetry. There are 3 symmetry adapted cartesian basis functions of B2U symmetry. There are 3 symmetry adapted cartesian basis functions of B3U symmetry. There are 8 symmetry adapted basis functions of AG symmetry. There are 1 symmetry adapted basis functions of B1G symmetry. There are 3 symmetry adapted basis functions of B2G symmetry. There are 3 symmetry adapted basis functions of B3G symmetry. There are 1 symmetry adapted basis functions of AU symmetry. There are 8 symmetry adapted basis functions of B1U symmetry. There are 3 symmetry adapted basis functions of B2U symmetry. There are 3 symmetry adapted basis functions of B3U symmetry. 30 basis functions, 56 primitive gaussians, 30 cartesian basis functions 7 alpha electrons 7 beta electrons nuclear repulsion energy 23.4552104708 Hartrees. NAtoms= 2 NActive= 2 NUniq= 1 SFac= 4.00D+00 NAtFMM= 60 NAOKFM=F Big=F Integral buffers will be 131072 words long. Raffenetti 2 integral format. Two-electron integral symmetry is turned on. One-electron integrals computed using PRISM. NBasis= 30 RedAO= T EigKep= 6.34D-03 NBF= 8 1 3 3 1 8 3 3 NBsUse= 30 1.00D-06 EigRej= -1.00D+00 NBFU= 8 1 3 3 1 8 3 3 Initial guess from the checkpoint file: "\\icnas2.cc.ic.ac.uk\zh3918\1styearlab\Irene_N2_optf.chk" B after Tr= 0.000000 0.000000 0.000000 Rot= 1.000000 0.000000 0.000000 0.000000 Ang= 0.00 deg. Initial guess orbital symmetries: Occupied (SGG) (SGU) (SGG) (SGU) (PIU) (PIU) (SGG) Virtual (PIG) (PIG) (SGU) (SGG) (PIU) (PIU) (SGG) (PIG) (PIG) (SGU) (SGU) (DLTG) (DLTG) (PIU) (PIU) (DLTU) (DLTU) (SGG) (PIG) (PIG) (SGU) (SGG) (SGU) Keep R1 ints in memory in symmetry-blocked form, NReq=995061. Requested convergence on RMS density matrix=1.00D-08 within 128 cycles. Requested convergence on MAX density matrix=1.00D-06. Requested convergence on energy=1.00D-06. No special actions if energy rises. Skip diagonalization as Alpha Fock matrix is already diagonal. SCF Done: E(RB3LYP) = -109.524128676 A.U. after 1 cycles NFock= 1 Conv=0.00D+00 -V/T= 2.0097 DoSCS=F DFT=T ScalE2(SS,OS)= 1.000000 1.000000 Range of M.O.s used for correlation: 1 30 NBasis= 30 NAE= 7 NBE= 7 NFC= 0 NFV= 0 NROrb= 30 NOA= 7 NOB= 7 NVA= 23 NVB= 23 Symmetrizing basis deriv contribution to polar: IMax=3 JMax=2 DiffMx= 0.00D+00 G2DrvN: will do 3 centers at a time, making 1 passes. Calling FoFCou, ICntrl= 3107 FMM=F I1Cent= 0 AccDes= 0.00D+00. End of G2Drv F.D. properties file 721 does not exist. End of G2Drv F.D. properties file 722 does not exist. End of G2Drv F.D. properties file 788 does not exist. IDoAtm=11 Differentiating once with respect to electric field. with respect to dipole field. Differentiating once with respect to nuclear coordinates. Keep R1 ints in memory in symmetry-blocked form, NReq=971140. There are 6 degrees of freedom in the 1st order CPHF. IDoFFX=4 NUNeed= 6. 6 vectors produced by pass 0 Test12= 2.68D-15 1.67D-08 XBig12= 1.39D+01 2.49D+00. AX will form 6 AO Fock derivatives at one time. 6 vectors produced by pass 1 Test12= 2.68D-15 1.67D-08 XBig12= 8.93D+00 1.64D+00. 6 vectors produced by pass 2 Test12= 2.68D-15 1.67D-08 XBig12= 3.81D-02 8.14D-02. 6 vectors produced by pass 3 Test12= 2.68D-15 1.67D-08 XBig12= 1.59D-04 5.35D-03. 6 vectors produced by pass 4 Test12= 2.68D-15 1.67D-08 XBig12= 2.55D-07 2.03D-04. 4 vectors produced by pass 5 Test12= 2.68D-15 1.67D-08 XBig12= 1.85D-10 6.60D-06. 1 vectors produced by pass 6 Test12= 2.68D-15 1.67D-08 XBig12= 5.37D-13 3.13D-07. InvSVY: IOpt=1 It= 1 EMax= 4.44D-16 Solved reduced A of dimension 35 with 6 vectors. Isotropic polarizability for W= 0.000000 8.54 Bohr**3. End of Minotr F.D. properties file 721 does not exist. End of Minotr F.D. properties file 722 does not exist. End of Minotr F.D. properties file 788 does not exist. ********************************************************************** Population analysis using the SCF density. ********************************************************************** Orbital symmetries: Occupied (SGG) (SGU) (SGG) (SGU) (PIU) (PIU) (SGG) Virtual (PIG) (PIG) (SGU) (SGG) (PIU) (PIU) (SGG) (PIG) (PIG) (SGU) (SGU) (DLTG) (DLTG) (PIU) (PIU) (DLTU) (DLTU) (SGG) (PIG) (PIG) (SGU) (SGG) (SGU) The electronic state is 1-SGG. Alpha occ. eigenvalues -- -14.44676 -14.44512 -1.12383 -0.55342 -0.46240 Alpha occ. eigenvalues -- -0.46240 -0.42688 Alpha virt. eigenvalues -- -0.02412 -0.02412 0.41366 0.59105 0.60590 Alpha virt. eigenvalues -- 0.60590 0.64005 0.75115 0.75115 0.78521 Alpha virt. eigenvalues -- 1.23891 1.44991 1.44991 1.54800 1.54800 Alpha virt. eigenvalues -- 1.93901 1.93901 2.40434 2.59370 2.59370 Alpha virt. eigenvalues -- 2.81673 3.28940 3.58818 Condensed to atoms (all electrons): 1 2 1 N 6.450381 0.549619 2 N 0.549619 6.450381 Mulliken charges: 1 1 N 0.000000 2 N 0.000000 Sum of Mulliken charges = 0.00000 Mulliken charges with hydrogens summed into heavy atoms: 1 1 N 0.000000 2 N 0.000000 APT charges: 1 1 N 0.000000 2 N 0.000000 Sum of APT charges = 0.00000 APT charges with hydrogens summed into heavy atoms: 1 1 N 0.000000 2 N 0.000000 Electronic spatial extent (au): = 38.8468 Charge= 0.0000 electrons Dipole moment (field-independent basis, Debye): X= 0.0000 Y= 0.0000 Z= 0.0000 Tot= 0.0000 Quadrupole moment (field-independent basis, Debye-Ang): XX= -10.0489 YY= -10.0489 ZZ= -11.6070 XY= 0.0000 XZ= 0.0000 YZ= 0.0000 Traceless Quadrupole moment (field-independent basis, Debye-Ang): XX= 0.5194 YY= 0.5194 ZZ= -1.0387 XY= 0.0000 XZ= 0.0000 YZ= 0.0000 Octapole moment (field-independent basis, Debye-Ang**2): XXX= 0.0000 YYY= 0.0000 ZZZ= 0.0000 XYY= 0.0000 XXY= 0.0000 XXZ= 0.0000 XZZ= 0.0000 YZZ= 0.0000 YYZ= 0.0000 XYZ= 0.0000 Hexadecapole moment (field-independent basis, Debye-Ang**3): XXXX= -8.0062 YYYY= -8.0062 ZZZZ= -30.5670 XXXY= 0.0000 XXXZ= 0.0000 YYYX= 0.0000 YYYZ= 0.0000 ZZZX= 0.0000 ZZZY= 0.0000 XXYY= -2.6687 XXZZ= -6.0687 YYZZ= -6.0687 XXYZ= 0.0000 YYXZ= 0.0000 ZZXY= 0.0000 N-N= 2.345521047083D+01 E-N=-3.026346661284D+02 KE= 1.084740715702D+02 Symmetry AG KE= 5.302687893949D+01 Symmetry B1G KE= 1.382927853775D-34 Symmetry B2G KE= 2.315518641191D-32 Symmetry B3G KE= 1.337877960954D-32 Symmetry AU KE= 4.501384544763D-34 Symmetry B1U KE= 4.865763892401D+01 Symmetry B2U KE= 3.394776853354D+00 Symmetry B3U KE= 3.394776853354D+00 Exact polarizability: 6.138 0.000 6.138 0.000 0.000 13.334 Approx polarizability: 8.399 0.000 8.399 0.000 0.000 27.340 ******************************Gaussian NBO Version 3.1****************************** N A T U R A L A T O M I C O R B I T A L A N D N A T U R A L B O N D O R B I T A L A N A L Y S I S ******************************Gaussian NBO Version 3.1****************************** /RESON / : Allow strongly delocalized NBO set Analyzing the SCF density Job title: N2 optimisation Storage needed: 2904 in NPA, 3709 in NBO ( 805306340 available) NATURAL POPULATIONS: Natural atomic orbital occupancies NAO Atom No lang Type(AO) Occupancy Energy ---------------------------------------------------------- 1 N 1 S Cor( 1S) 1.99975 -14.23055 2 N 1 S Val( 2S) 1.62481 -0.66455 3 N 1 S Ryd( 3S) 0.02193 0.91131 4 N 1 S Ryd( 4S) 0.00002 3.37467 5 N 1 px Val( 2p) 0.99541 -0.22154 6 N 1 px Ryd( 3p) 0.00004 0.67327 7 N 1 py Val( 2p) 0.99541 -0.22154 8 N 1 py Ryd( 3p) 0.00004 0.67327 9 N 1 pz Val( 2p) 1.34167 -0.18558 10 N 1 pz Ryd( 3p) 0.00667 0.62727 11 N 1 dxy Ryd( 3d) 0.00000 1.69446 12 N 1 dxz Ryd( 3d) 0.00455 2.05438 13 N 1 dyz Ryd( 3d) 0.00455 2.05438 14 N 1 dx2y2 Ryd( 3d) 0.00000 1.69446 15 N 1 dz2 Ryd( 3d) 0.00514 2.55319 16 N 2 S Cor( 1S) 1.99975 -14.23055 17 N 2 S Val( 2S) 1.62481 -0.66455 18 N 2 S Ryd( 3S) 0.02193 0.91131 19 N 2 S Ryd( 4S) 0.00002 3.37467 20 N 2 px Val( 2p) 0.99541 -0.22154 21 N 2 px Ryd( 3p) 0.00004 0.67327 22 N 2 py Val( 2p) 0.99541 -0.22154 23 N 2 py Ryd( 3p) 0.00004 0.67327 24 N 2 pz Val( 2p) 1.34167 -0.18558 25 N 2 pz Ryd( 3p) 0.00667 0.62727 26 N 2 dxy Ryd( 3d) 0.00000 1.69446 27 N 2 dxz Ryd( 3d) 0.00455 2.05438 28 N 2 dyz Ryd( 3d) 0.00455 2.05438 29 N 2 dx2y2 Ryd( 3d) 0.00000 1.69446 30 N 2 dz2 Ryd( 3d) 0.00514 2.55319 Summary of Natural Population Analysis: Natural Population Natural ----------------------------------------------- Atom No Charge Core Valence Rydberg Total ----------------------------------------------------------------------- N 1 0.00000 1.99975 4.95730 0.04294 7.00000 N 2 0.00000 1.99975 4.95730 0.04294 7.00000 ======================================================================= * Total * 0.00000 3.99951 9.91461 0.08589 14.00000 Natural Population -------------------------------------------------------- Core 3.99951 ( 99.9876% of 4) Valence 9.91461 ( 99.1461% of 10) Natural Minimal Basis 13.91411 ( 99.3865% of 14) Natural Rydberg Basis 0.08589 ( 0.6135% of 14) -------------------------------------------------------- Atom No Natural Electron Configuration ---------------------------------------------------------------------------- N 1 [core]2S( 1.62)2p( 3.33)3S( 0.02)3p( 0.01)3d( 0.01) N 2 [core]2S( 1.62)2p( 3.33)3S( 0.02)3p( 0.01)3d( 0.01) NATURAL BOND ORBITAL ANALYSIS: Occupancies Lewis Structure Low High Occ. ------------------- ----------------- occ occ Cycle Thresh. Lewis Non-Lewis CR BD 3C LP (L) (NL) Dev ============================================================================= 1(1) 1.90 13.98685 0.01315 2 3 0 2 0 0 0.03 ----------------------------------------------------------------------------- Structure accepted: No low occupancy Lewis orbitals -------------------------------------------------------- Core 3.99950 ( 99.988% of 4) Valence Lewis 9.98735 ( 99.873% of 10) ================== ============================ Total Lewis 13.98685 ( 99.906% of 14) ----------------------------------------------------- Valence non-Lewis 0.00000 ( 0.000% of 14) Rydberg non-Lewis 0.01314 ( 0.094% of 14) ================== ============================ Total non-Lewis 0.01315 ( 0.094% of 14) -------------------------------------------------------- (Occupancy) Bond orbital/ Coefficients/ Hybrids --------------------------------------------------------------------------------- 1. (2.00000) BD ( 1) N 1 - N 2 ( 50.00%) 0.7071* N 1 s( 37.78%)p 1.64( 61.82%)d 0.01( 0.39%) 0.0000 -0.6026 0.1212 -0.0015 0.0000 0.0000 0.0000 0.0000 0.7847 0.0499 0.0000 0.0000 0.0000 0.0000 -0.0628 ( 50.00%) 0.7071* N 2 s( 37.78%)p 1.64( 61.82%)d 0.01( 0.39%) 0.0000 -0.6026 0.1212 -0.0015 0.0000 0.0000 0.0000 0.0000 -0.7847 -0.0499 0.0000 0.0000 0.0000 0.0000 -0.0628 2. (2.00000) BD ( 2) N 1 - N 2 ( 50.00%) 0.7071* N 1 s( 0.00%)p 1.00( 99.55%)d 0.00( 0.45%) 0.0000 0.0000 0.0000 0.0000 0.9977 -0.0062 0.0000 0.0000 0.0000 0.0000 0.0000 -0.0675 0.0000 0.0000 0.0000 ( 50.00%) 0.7071* N 2 s( 0.00%)p 1.00( 99.55%)d 0.00( 0.45%) 0.0000 0.0000 0.0000 0.0000 0.9977 -0.0062 0.0000 0.0000 0.0000 0.0000 0.0000 0.0675 0.0000 0.0000 0.0000 3. (2.00000) BD ( 3) N 1 - N 2 ( 50.00%) 0.7071* N 1 s( 0.00%)p 1.00( 99.55%)d 0.00( 0.45%) 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.9977 -0.0062 0.0000 0.0000 0.0000 0.0000 -0.0675 0.0000 0.0000 ( 50.00%) 0.7071* N 2 s( 0.00%)p 1.00( 99.55%)d 0.00( 0.45%) 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.9977 -0.0062 0.0000 0.0000 0.0000 0.0000 0.0675 0.0000 0.0000 4. (1.99975) CR ( 1) N 1 s(100.00%)p 0.00( 0.00%) 1.0000 0.0002 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0002 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 5. (1.99975) CR ( 1) N 2 s(100.00%)p 0.00( 0.00%) 1.0000 0.0002 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 -0.0002 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 6. (1.99367) LP ( 1) N 1 s( 63.49%)p 0.57( 36.46%)d 0.00( 0.05%) -0.0003 0.7955 0.0459 -0.0006 0.0000 0.0000 0.0000 0.0000 0.6034 -0.0218 0.0000 0.0000 0.0000 0.0000 -0.0228 7. (1.99367) LP ( 1) N 2 s( 63.49%)p 0.57( 36.46%)d 0.00( 0.05%) -0.0003 0.7955 0.0459 -0.0006 0.0000 0.0000 0.0000 0.0000 -0.6034 0.0218 0.0000 0.0000 0.0000 0.0000 -0.0228 8. (0.00653) RY*( 1) N 1 s( 46.94%)p 1.08( 50.69%)d 0.05( 2.37%) 0.0000 0.0622 0.6802 0.0530 0.0000 0.0000 0.0000 0.0000 -0.1142 0.7028 0.0000 0.0000 0.0000 0.0000 -0.1539 9. (0.00004) RY*( 2) N 1 s( 43.70%)p 0.65( 28.23%)d 0.64( 28.06%) 10. (0.00000) RY*( 3) N 1 s( 0.00%)p 1.00(100.00%)d 0.00( 0.00%) 11. (0.00000) RY*( 4) N 1 s( 0.00%)p 1.00(100.00%)d 0.00( 0.00%) 12. (0.00000) RY*( 5) N 1 s( 99.92%)p 0.00( 0.04%)d 0.00( 0.04%) 13. (0.00000) RY*( 6) N 1 s( 0.00%)p 0.00( 0.00%)d 1.00(100.00%) 14. (0.00000) RY*( 7) N 1 s( 0.00%)p 1.00( 0.45%)d99.99( 99.55%) 15. (0.00000) RY*( 8) N 1 s( 0.00%)p 1.00( 0.45%)d99.99( 99.55%) 16. (0.00000) RY*( 9) N 1 s( 0.00%)p 0.00( 0.00%)d 1.00(100.00%) 17. (0.00000) RY*(10) N 1 s( 8.16%)p 2.79( 22.76%)d 8.46( 69.08%) 18. (0.00653) RY*( 1) N 2 s( 46.94%)p 1.08( 50.69%)d 0.05( 2.37%) 0.0000 0.0622 0.6802 0.0530 0.0000 0.0000 0.0000 0.0000 0.1142 -0.7028 0.0000 0.0000 0.0000 0.0000 -0.1539 19. (0.00004) RY*( 2) N 2 s( 43.70%)p 0.65( 28.23%)d 0.64( 28.06%) 20. (0.00000) RY*( 3) N 2 s( 0.00%)p 1.00(100.00%)d 0.00( 0.00%) 21. (0.00000) RY*( 4) N 2 s( 0.00%)p 1.00(100.00%)d 0.00( 0.00%) 22. (0.00000) RY*( 5) N 2 s( 99.92%)p 0.00( 0.04%)d 0.00( 0.04%) 23. (0.00000) RY*( 6) N 2 s( 0.00%)p 0.00( 0.00%)d 1.00(100.00%) 24. (0.00000) RY*( 7) N 2 s( 0.00%)p 1.00( 0.45%)d99.99( 99.55%) 25. (0.00000) RY*( 8) N 2 s( 0.00%)p 1.00( 0.45%)d99.99( 99.55%) 26. (0.00000) RY*( 9) N 2 s( 0.00%)p 0.00( 0.00%)d 1.00(100.00%) 27. (0.00000) RY*(10) N 2 s( 8.16%)p 2.79( 22.76%)d 8.46( 69.08%) 28. (0.00000) BD*( 1) N 1 - N 2 ( 50.00%) 0.7071* N 1 s( 37.78%)p 1.64( 61.82%)d 0.01( 0.39%) ( 50.00%) -0.7071* N 2 s( 37.78%)p 1.64( 61.82%)d 0.01( 0.39%) 29. (0.00000) BD*( 2) N 1 - N 2 ( 50.00%) 0.7071* N 1 s( 0.00%)p 1.00( 99.55%)d 0.00( 0.45%) ( 50.00%) -0.7071* N 2 s( 0.00%)p 1.00( 99.55%)d 0.00( 0.45%) 30. (0.00000) BD*( 3) N 1 - N 2 ( 50.00%) 0.7071* N 1 s( 0.00%)p 1.00( 99.55%)d 0.00( 0.45%) ( 50.00%) -0.7071* N 2 s( 0.00%)p 1.00( 99.55%)d 0.00( 0.45%) NHO Directionality and "Bond Bending" (deviations from line of nuclear centers) [Thresholds for printing: angular deviation > 1.0 degree] hybrid p-character > 25.0% orbital occupancy > 0.10e Line of Centers Hybrid 1 Hybrid 2 --------------- ------------------- ------------------ NBO Theta Phi Theta Phi Dev Theta Phi Dev ======================================================================================== 2. BD ( 2) N 1 - N 2 180.0 0.0 90.0 0.0 90.0 90.0 0.0 90.0 3. BD ( 3) N 1 - N 2 180.0 0.0 90.0 90.0 90.0 90.0 90.0 90.0 6. LP ( 1) N 1 -- -- 0.0 0.0 -- -- -- -- 7. LP ( 1) N 2 -- -- 180.0 0.0 -- -- -- -- Second Order Perturbation Theory Analysis of Fock Matrix in NBO Basis Threshold for printing: 0.50 kcal/mol E(2) E(j)-E(i) F(i,j) Donor NBO (i) Acceptor NBO (j) kcal/mol a.u. a.u. =================================================================================================== within unit 1 1. BD ( 1) N 1 - N 2 / 8. RY*( 1) N 1 0.51 1.97 0.028 1. BD ( 1) N 1 - N 2 / 18. RY*( 1) N 2 0.51 1.97 0.028 4. CR ( 1) N 1 / 18. RY*( 1) N 2 3.99 14.96 0.218 5. CR ( 1) N 2 / 8. RY*( 1) N 1 3.99 14.96 0.218 6. LP ( 1) N 1 / 18. RY*( 1) N 2 7.39 1.37 0.090 7. LP ( 1) N 2 / 8. RY*( 1) N 1 7.39 1.37 0.090 Natural Bond Orbitals (Summary): Principal Delocalizations NBO Occupancy Energy (geminal,vicinal,remote) ==================================================================================== Molecular unit 1 (N2) 1. BD ( 1) N 1 - N 2 2.00000 -1.24061 8(g),18(g) 2. BD ( 2) N 1 - N 2 2.00000 -0.46240 3. BD ( 3) N 1 - N 2 2.00000 -0.46240 4. CR ( 1) N 1 1.99975 -14.23124 18(v) 5. CR ( 1) N 2 1.99975 -14.23124 8(v) 6. LP ( 1) N 1 1.99367 -0.63887 18(v) 7. LP ( 1) N 2 1.99367 -0.63887 8(v) 8. RY*( 1) N 1 0.00653 0.73202 9. RY*( 2) N 1 0.00004 1.44194 10. RY*( 3) N 1 0.00000 0.67427 11. RY*( 4) N 1 0.00000 0.67427 12. RY*( 5) N 1 0.00000 3.33419 13. RY*( 6) N 1 0.00000 1.69446 14. RY*( 7) N 1 0.00000 2.05054 15. RY*( 8) N 1 0.00000 2.05054 16. RY*( 9) N 1 0.00000 1.69446 17. RY*( 10) N 1 0.00000 1.91884 18. RY*( 1) N 2 0.00653 0.73202 19. RY*( 2) N 2 0.00004 1.44194 20. RY*( 3) N 2 0.00000 0.67427 21. RY*( 4) N 2 0.00000 0.67427 22. RY*( 5) N 2 0.00000 3.33419 23. RY*( 6) N 2 0.00000 1.69446 24. RY*( 7) N 2 0.00000 2.05054 25. RY*( 8) N 2 0.00000 2.05054 26. RY*( 9) N 2 0.00000 1.69446 27. RY*( 10) N 2 0.00000 1.91884 28. BD*( 1) N 1 - N 2 0.00000 0.89835 29. BD*( 2) N 1 - N 2 0.00000 0.02502 30. BD*( 3) N 1 - N 2 0.00000 0.02502 ------------------------------- Total Lewis 13.98685 ( 99.9061%) Valence non-Lewis 0.00000 ( 0.0000%) Rydberg non-Lewis 0.01314 ( 0.0939%) ------------------------------- Total unit 1 14.00000 (100.0000%) Charge unit 1 0.00000 Calling FoFJK, ICntrl= 100127 FMM=F ISym2X=1 I1Cent= 0 IOpClX= 0 NMat=1 NMatS=1 NMatT=0. Full mass-weighted force constant matrix: Low frequencies --- -0.0020 -0.0020 -0.0014 4.7511 4.7511 2457.3283 Diagonal vibrational polarizability: 0.0000000 0.0000000 0.0000000 Harmonic frequencies (cm**-1), IR intensities (KM/Mole), Raman scattering activities (A**4/AMU), depolarization ratios for plane and unpolarized incident light, reduced masses (AMU), force constants (mDyne/A), and normal coordinates: 1 SGG Frequencies -- 2457.3283 Red. masses -- 14.0031 Frc consts -- 49.8196 IR Inten -- 0.0000 Atom AN X Y Z 1 7 0.00 0.00 0.71 2 7 0.00 0.00 -0.71 ------------------- - Thermochemistry - ------------------- Temperature 298.150 Kelvin. Pressure 1.00000 Atm. Atom 1 has atomic number 7 and mass 14.00307 Atom 2 has atomic number 7 and mass 14.00307 Molecular mass: 28.00615 amu. Principal axes and moments of inertia in atomic units: 1 2 3 Eigenvalues -- 0.00000 30.55673 30.55673 X 0.00000 0.00000 1.00000 Y 0.00000 1.00000 0.00000 Z 1.00000 0.00000 0.00000 This molecule is a prolate symmetric top. Rotational symmetry number 2. Rotational temperature (Kelvin) 2.83452 Rotational constant (GHZ): 59.061987 Zero-point vibrational energy 14698.1 (Joules/Mol) 3.51293 (Kcal/Mol) Vibrational temperatures: 3535.54 (Kelvin) Zero-point correction= 0.005598 (Hartree/Particle) Thermal correction to Energy= 0.007959 Thermal correction to Enthalpy= 0.008903 Thermal correction to Gibbs Free Energy= -0.012852 Sum of electronic and zero-point Energies= -109.518530 Sum of electronic and thermal Energies= -109.516170 Sum of electronic and thermal Enthalpies= -109.515226 Sum of electronic and thermal Free Energies= -109.536980 E (Thermal) CV S KCal/Mol Cal/Mol-Kelvin Cal/Mol-Kelvin Total 4.994 4.970 45.786 Electronic 0.000 0.000 0.000 Translational 0.889 2.981 35.924 Rotational 0.592 1.987 9.862 Vibrational 3.513 0.002 0.000 Q Log10(Q) Ln(Q) Total Bot 0.815216D+06 5.911272 13.611208 Total V=0 0.306382D+09 8.486263 19.540342 Vib (Bot) 0.266080D-02 -2.574987 -5.929128 Vib (V=0) 0.100001D+01 0.000003 0.000007 Electronic 0.100000D+01 0.000000 0.000000 Translational 0.582553D+07 6.765335 15.577760 Rotational 0.525926D+02 1.720925 3.962575 ***** Axes restored to original set ***** ------------------------------------------------------------------- Center Atomic Forces (Hartrees/Bohr) Number Number X Y Z ------------------------------------------------------------------- 1 7 -0.000001043 0.000000000 0.000000000 2 7 0.000001043 0.000000000 0.000000000 ------------------------------------------------------------------- Cartesian Forces: Max 0.000001043 RMS 0.000000602 FormGI is forming the generalized inverse of G from B-inverse, IUseBI=4. GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad Berny optimization. Internal Forces: Max 0.000001043 RMS 0.000001043 Search for a local minimum. Step number 1 out of a maximum of 2 All quantities printed in internal units (Hartrees-Bohrs-Radians) Second derivative matrix not updated -- analytic derivatives used. The second derivative matrix: R1 R1 1.59997 ITU= 0 Eigenvalues --- 1.59997 Angle between quadratic step and forces= 90.00 degrees. Linear search not attempted -- first point. Iteration 1 RMS(Cart)= 0.00000046 RMS(Int)= 0.00000000 ClnCor: largest displacement from symmetrization is 2.22D-16 for atom 1. Variable Old X -DE/DX Delta X Delta X Delta X New X (Linear) (Quad) (Total) R1 2.08909 0.00000 0.00000 0.00000 0.00000 2.08909 Item Value Threshold Converged? Maximum Force 0.000001 0.000450 YES RMS Force 0.000001 0.000300 YES Maximum Displacement 0.000000 0.001800 YES RMS Displacement 0.000000 0.001200 YES Predicted change in Energy=-3.400975D-13 Optimization completed. -- Stationary point found. ---------------------------- ! Optimized Parameters ! ! (Angstroms and Degrees) ! -------------------------- -------------------------- ! Name Definition Value Derivative Info. ! -------------------------------------------------------------------------------- ! R1 R(1,2) 1.1055 -DE/DX = 0.0 ! -------------------------------------------------------------------------------- GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad 1|1| IMPERIAL COLLEGE-SKCH-135-008|Freq|RB3LYP|6-31G(d,p)|N2|ZH3918|21 -Feb-2019|0||#N Geom=AllCheck Guess=TCheck SCRF=Check GenChk RB3LYP/6- 31G(d,p) Freq||N2 optimisation||0,1|N,0.8946348025,-2.30140054,1.49644 273|N,-0.2108629825,-2.30140054,1.49644273||Version=EM64W-G09RevD.01|S tate=1-SGG|HF=-109.5241287|RMSD=0.000e+000|RMSF=6.023e-007|ZeroPoint=0 .0055982|Thermal=0.0079588|Dipole=0.,0.,0.|DipoleDeriv=0.,0.,0.,0.,0., 0.,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.|Polar=13.3337728,0.,6.1378893,0 .,0.,6.1378893|PG=D*H [C*(N1.N1)]|NImag=0||1.59996768,0.,0.00000598,0. ,0.,0.00000598,-1.59996768,0.,0.,1.59996768,0.,-0.00000598,0.,0.,0.000 00598,0.,0.,-0.00000598,0.,0.,0.00000598||0.00000104,0.,0.,-0.00000104 ,0.,0.|||@ IT PROBABLY IS NOT POSSIBLE FOR A SCIENTIST TO INTERROGATE NATURE FROM A WHOLLY DISINTERESTED VIEWPOINT. EVEN IF HE HAS NO PARTICULAR AXE TO GRIND, HE IS LIKELY TO HAVE A DISTINCTIVE WAY OF VIEWING NATURE. -- JOHN LOSEE Job cpu time: 0 days 0 hours 0 minutes 26.0 seconds. File lengths (MBytes): RWF= 5 Int= 0 D2E= 0 Chk= 1 Scr= 1 Normal termination of Gaussian 09 at Thu Feb 21 22:51:19 2019.