Default is to use a total of 4 processors: 4 via shared-memory 1 via Linda Entering Link 1 = C:\G09W\l1.exe PID= 8232. 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 20-Feb-2017 ****************************************** %chk=\\icnas4.cc.ic.ac.uk\as11815\1styearlab\anmol_n2_molecule_optf_pop_test.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; ------------------- Title Card Required ------------------- Symbolic Z-matrix: Charge = 0 Multiplicity = 1 N 0.9629 -0.58219 0. N -0.1371 -0.58219 0. GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad Berny optimization. Initialization pass. ---------------------------- ! Initial Parameters ! ! (Angstroms and Degrees) ! -------------------------- -------------------------- ! Name Definition Value Derivative Info. ! -------------------------------------------------------------------------------- ! R1 R(1,2) 1.1 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 0.962904 -0.582192 0.000000 2 7 0 -0.137096 -0.582192 0.000000 --------------------------------------------------------------------- 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 0.550000 2 7 0 0.000000 0.000000 -0.550000 --------------------------------------------------------------------- Rotational constants (GHZ): 0.0000000 59.6538444 59.6538444 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 23.5724392917 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= 6.19D-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=995001. 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) = -109.524041195 A.U. after 8 cycles NFock= 8 Conv=0.44D-08 -V/T= 2.0094 ********************************************************************** 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 -- -14.44547 -14.44375 -1.12711 -0.55192 -0.46412 Alpha occ. eigenvalues -- -0.46412 -0.42708 Alpha virt. eigenvalues -- -0.02150 -0.02150 0.41608 0.58966 0.60484 Alpha virt. eigenvalues -- 0.60484 0.64026 0.75210 0.75210 0.79219 Alpha virt. eigenvalues -- 1.24453 1.44816 1.44816 1.55287 1.55287 Alpha virt. eigenvalues -- 1.94243 1.94243 2.40891 2.59923 2.59923 Alpha virt. eigenvalues -- 2.82773 3.29060 3.59264 Condensed to atoms (all electrons): 1 2 1 N 6.446722 0.553278 2 N 0.553278 6.446722 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): = 38.6671 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= -10.0325 YY= -10.0325 ZZ= -11.6021 XY= 0.0000 XZ= 0.0000 YZ= 0.0000 Traceless Quadrupole moment (field-independent basis, Debye-Ang): XX= 0.5232 YY= 0.5232 ZZ= -1.0464 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= -7.9807 YYYY= -7.9807 ZZZZ= -30.3579 XXXY= 0.0000 XXXZ= 0.0000 YYYX= 0.0000 YYYZ= 0.0000 ZZZX= 0.0000 ZZZY= 0.0000 XXYY= -2.6602 XXZZ= -6.0309 YYZZ= -6.0309 XXYZ= 0.0000 YYXZ= 0.0000 ZZXY= 0.0000 N-N= 2.357243929174D+01 E-N=-3.028915286335D+02 KE= 1.085058904816D+02 Symmetry AG KE= 5.305215354560D+01 Symmetry B1G KE= 1.404835859240D-34 Symmetry B2G KE= 2.824408343859D-32 Symmetry B3G KE= 3.447367322049D-32 Symmetry AU KE= 4.589566065063D-34 Symmetry B1U KE= 4.865331594893D+01 Symmetry B2U KE= 3.400210493537D+00 Symmetry B3U KE= 3.400210493537D+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: Title Card Required Storage needed: 2904 in NPA, 3709 in NBO ( 268435428 available) NATURAL POPULATIONS: Natural atomic orbital occupancies NAO Atom No lang Type(AO) Occupancy Energy ---------------------------------------------------------- 1 N 1 S Cor( 1S) 1.99975 -14.22601 2 N 1 S Val( 2S) 1.62115 -0.66183 3 N 1 S Ryd( 3S) 0.02222 0.91298 4 N 1 S Ryd( 4S) 0.00002 3.37654 5 N 1 px Val( 2p) 0.99537 -0.22053 6 N 1 px Ryd( 3p) 0.00003 0.67300 7 N 1 py Val( 2p) 0.99537 -0.22053 8 N 1 py Ryd( 3p) 0.00003 0.67300 9 N 1 pz Val( 2p) 1.34487 -0.18452 10 N 1 pz Ryd( 3p) 0.00679 0.62600 11 N 1 dxy Ryd( 3d) 0.00000 1.69529 12 N 1 dxz Ryd( 3d) 0.00460 2.05925 13 N 1 dyz Ryd( 3d) 0.00460 2.05925 14 N 1 dx2y2 Ryd( 3d) 0.00000 1.69529 15 N 1 dz2 Ryd( 3d) 0.00521 2.56048 16 N 2 S Cor( 1S) 1.99975 -14.22601 17 N 2 S Val( 2S) 1.62115 -0.66183 18 N 2 S Ryd( 3S) 0.02222 0.91298 19 N 2 S Ryd( 4S) 0.00002 3.37654 20 N 2 px Val( 2p) 0.99537 -0.22053 21 N 2 px Ryd( 3p) 0.00003 0.67300 22 N 2 py Val( 2p) 0.99537 -0.22053 23 N 2 py Ryd( 3p) 0.00003 0.67300 24 N 2 pz Val( 2p) 1.34487 -0.18452 25 N 2 pz Ryd( 3p) 0.00679 0.62600 26 N 2 dxy Ryd( 3d) 0.00000 1.69529 27 N 2 dxz Ryd( 3d) 0.00460 2.05925 28 N 2 dyz Ryd( 3d) 0.00460 2.05925 29 N 2 dx2y2 Ryd( 3d) 0.00000 1.69529 30 N 2 dz2 Ryd( 3d) 0.00521 2.56048 Summary of Natural Population Analysis: Natural Population Natural ----------------------------------------------- Atom No Charge Core Valence Rydberg Total ----------------------------------------------------------------------- N 1 0.00000 1.99975 4.95675 0.04350 7.00000 N 2 0.00000 1.99975 4.95675 0.04350 7.00000 ======================================================================= * Total * 0.00000 3.99950 9.91350 0.08700 14.00000 Natural Population -------------------------------------------------------- Core 3.99950 ( 99.9874% of 4) Valence 9.91350 ( 99.1350% of 10) Natural Minimal Basis 13.91300 ( 99.3786% of 14) Natural Rydberg Basis 0.08700 ( 0.6214% 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 13.98646 0.01354 2 3 0 2 0 0 0.03 ----------------------------------------------------------------------------- Structure accepted: No low occupancy Lewis orbitals -------------------------------------------------------- Core 3.99950 ( 99.987% of 4) Valence Lewis 9.98697 ( 99.870% of 10) ================== ============================ Total Lewis 13.98646 ( 99.903% of 14) ----------------------------------------------------- Valence non-Lewis 0.00000 ( 0.000% of 14) Rydberg non-Lewis 0.01353 ( 0.097% of 14) ================== ============================ Total non-Lewis 0.01354 ( 0.097% of 14) -------------------------------------------------------- (Occupancy) Bond orbital/ Coefficients/ Hybrids --------------------------------------------------------------------------------- 1. (2.00000) BD ( 1) N 1 - N 2 ( 50.00%) 0.7071* N 1 s( 38.13%)p 1.61( 61.47%)d 0.01( 0.40%) 0.0000 -0.6054 0.1215 -0.0016 0.0000 0.0000 0.0000 0.0000 0.7824 0.0500 0.0000 0.0000 0.0000 0.0000 -0.0631 ( 50.00%) 0.7071* N 2 s( 38.13%)p 1.61( 61.47%)d 0.01( 0.40%) 0.0000 -0.6054 0.1215 -0.0016 0.0000 0.0000 0.0000 0.0000 -0.7824 -0.0500 0.0000 0.0000 0.0000 0.0000 -0.0631 2. (2.00000) BD ( 2) N 1 - N 2 ( 50.00%) 0.7071* N 1 s( 0.00%)p 1.00( 99.54%)d 0.00( 0.46%) 0.0000 0.0000 0.0000 0.0000 0.9977 -0.0058 0.0000 0.0000 0.0000 0.0000 0.0000 -0.0678 0.0000 0.0000 0.0000 ( 50.00%) 0.7071* N 2 s( 0.00%)p 1.00( 99.54%)d 0.00( 0.46%) 0.0000 0.0000 0.0000 0.0000 0.9977 -0.0058 0.0000 0.0000 0.0000 0.0000 0.0000 0.0678 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( 99.54%)d 0.00( 0.46%) 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.9977 -0.0058 0.0000 0.0000 0.0000 0.0000 -0.0678 0.0000 0.0000 ( 50.00%) 0.7071* N 2 s( 0.00%)p 1.00( 99.54%)d 0.00( 0.46%) 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.9977 -0.0058 0.0000 0.0000 0.0000 0.0000 0.0678 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. (1.99348) LP ( 1) N 1 s( 63.15%)p 0.58( 36.80%)d 0.00( 0.05%) -0.0003 0.7933 0.0463 -0.0006 0.0000 0.0000 0.0000 0.0000 0.6062 -0.0223 0.0000 0.0000 0.0000 0.0000 -0.0230 7. (1.99348) LP ( 1) N 2 s( 63.15%)p 0.58( 36.80%)d 0.00( 0.05%) -0.0003 0.7933 0.0463 -0.0006 0.0000 0.0000 0.0000 0.0000 -0.6062 0.0223 0.0000 0.0000 0.0000 0.0000 -0.0230 8. (0.00673) RY*( 1) N 1 s( 47.42%)p 1.06( 50.20%)d 0.05( 2.38%) 0.0000 0.0628 0.6837 0.0532 0.0000 0.0000 0.0000 0.0000 -0.1146 0.6992 0.0000 0.0000 0.0000 0.0000 -0.1542 9. (0.00004) RY*( 2) N 1 s( 43.50%)p 0.66( 28.76%)d 0.64( 27.74%) 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( 0.46%)d99.99( 99.54%) 15. (0.00000) RY*( 8) N 1 s( 0.00%)p 1.00( 0.46%)d99.99( 99.54%) 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( 7.88%)p 2.89( 22.74%)d 8.81( 69.39%) 18. (0.00673) RY*( 1) N 2 s( 47.42%)p 1.06( 50.20%)d 0.05( 2.38%) 0.0000 0.0628 0.6837 0.0532 0.0000 0.0000 0.0000 0.0000 0.1146 -0.6992 0.0000 0.0000 0.0000 0.0000 -0.1542 19. (0.00004) RY*( 2) N 2 s( 43.50%)p 0.66( 28.76%)d 0.64( 27.74%) 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( 0.46%)d99.99( 99.54%) 25. (0.00000) RY*( 8) N 2 s( 0.00%)p 1.00( 0.46%)d99.99( 99.54%) 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( 7.88%)p 2.89( 22.74%)d 8.81( 69.39%) 28. (0.00000) BD*( 1) N 1 - N 2 ( 50.00%) 0.7071* N 1 s( 38.13%)p 1.61( 61.47%)d 0.01( 0.40%) ( 50.00%) -0.7071* N 2 s( 38.13%)p 1.61( 61.47%)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( 99.54%)d 0.00( 0.46%) ( 50.00%) -0.7071* N 2 s( 0.00%)p 1.00( 99.54%)d 0.00( 0.46%) 30. (0.00000) BD*( 3) N 1 - N 2 ( 50.00%) 0.7071* N 1 s( 0.00%)p 1.00( 99.54%)d 0.00( 0.46%) ( 50.00%) -0.7071* N 2 s( 0.00%)p 1.00( 99.54%)d 0.00( 0.46%) 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 0.52 1.99 0.029 1. BD ( 1) N 1 - N 2 / 18. RY*( 1) N 2 0.52 1.99 0.029 4. CR ( 1) N 1 / 18. RY*( 1) N 2 4.06 14.96 0.220 5. CR ( 1) N 2 / 8. RY*( 1) N 1 4.06 14.96 0.220 6. LP ( 1) N 1 / 18. RY*( 1) N 2 7.61 1.37 0.091 7. LP ( 1) N 2 / 8. RY*( 1) N 1 7.61 1.37 0.091 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 -1.25051 8(g),18(g) 2. BD ( 2) N 1 - N 2 2.00000 -0.46412 3. BD ( 3) N 1 - N 2 2.00000 -0.46412 4. CR ( 1) N 1 1.99975 -14.22672 18(v) 5. CR ( 1) N 2 1.99975 -14.22672 8(v) 6. LP ( 1) N 1 1.99348 -0.63789 18(v) 7. LP ( 1) N 2 1.99348 -0.63789 8(v) 8. RY*( 1) N 1 0.00673 0.73496 9. RY*( 2) N 1 0.00004 1.43615 10. RY*( 3) N 1 0.00000 0.67394 11. RY*( 4) N 1 0.00000 0.67394 12. RY*( 5) N 1 0.00000 3.33461 13. RY*( 6) N 1 0.00000 1.69529 14. RY*( 7) N 1 0.00000 2.05533 15. RY*( 8) N 1 0.00000 2.05533 16. RY*( 9) N 1 0.00000 1.69529 17. RY*( 10) N 1 0.00000 1.93028 18. RY*( 1) N 2 0.00673 0.73496 19. RY*( 2) N 2 0.00004 1.43615 20. RY*( 3) N 2 0.00000 0.67394 21. RY*( 4) N 2 0.00000 0.67394 22. RY*( 5) N 2 0.00000 3.33461 23. RY*( 6) N 2 0.00000 1.69529 24. RY*( 7) N 2 0.00000 2.05533 25. RY*( 8) N 2 0.00000 2.05533 26. RY*( 9) N 2 0.00000 1.69529 27. RY*( 10) N 2 0.00000 1.93028 28. BD*( 1) N 1 - N 2 0.00000 0.91499 29. BD*( 2) N 1 - N 2 0.00000 0.02900 30. BD*( 3) N 1 - N 2 0.00000 0.02900 ------------------------------- Total Lewis 13.98646 ( 99.9033%) Valence non-Lewis 0.00000 ( 0.0000%) Rydberg non-Lewis 0.01353 ( 0.0967%) ------------------------------- 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 0.016952351 0.000000000 0.000000000 2 7 -0.016952351 0.000000000 0.000000000 ------------------------------------------------------------------- Cartesian Forces: Max 0.016952351 RMS 0.009787444 GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad Berny optimization. FormGI is forming the generalized inverse of G from B-inverse, IUseBI=4. Internal Forces: Max 0.016952351 RMS 0.016952351 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 1.76720 ITU= 0 Eigenvalues --- 1.76720 RFO step: Lambda=-1.62605432D-04 EMin= 1.76719660D+00 Linear search not attempted -- first point. Iteration 1 RMS(Cart)= 0.00678250 RMS(Int)= 0.00000000 Iteration 2 RMS(Cart)= 0.00000000 RMS(Int)= 0.00000000 ClnCor: largest displacement from symmetrization is 2.94D-19 for atom 1. Variable Old X -DE/DX Delta X Delta X Delta X New X (Linear) (Quad) (Total) R1 2.07870 0.01695 0.00000 0.00959 0.00959 2.08829 Item Value Threshold Converged? Maximum Force 0.016952 0.000450 NO RMS Force 0.016952 0.000300 NO Maximum Displacement 0.004796 0.001800 NO RMS Displacement 0.006783 0.001200 NO Predicted change in Energy=-8.131020D-05 GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad Input orientation: --------------------------------------------------------------------- Center Atomic Atomic Coordinates (Angstroms) Number Number Type X Y Z --------------------------------------------------------------------- 1 7 0 0.965442 -0.582192 0.000000 2 7 0 -0.139634 -0.582192 0.000000 --------------------------------------------------------------------- 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 0.552538 2 7 0 0.000000 0.000000 -0.552538 --------------------------------------------------------------------- Rotational constants (GHZ): 0.0000000 59.1071004 59.1071004 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 23.4641666603 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= 6.33D-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: "\\icnas4.cc.ic.ac.uk\as11815\1styearlab\anmol_n2_molecule_optf_pop_test.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=995001. 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) = -109.524128167 A.U. after 6 cycles NFock= 6 Conv=0.18D-08 -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 0.001276697 0.000000000 0.000000000 2 7 -0.001276697 0.000000000 0.000000000 ------------------------------------------------------------------- Cartesian Forces: Max 0.001276697 RMS 0.000737101 GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad Berny optimization. Using GEDIIS/GDIIS optimizer. Internal Forces: Max 0.001276697 RMS 0.001276697 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= -8.70D-05 DEPred=-8.13D-05 R= 1.07D+00 TightC=F SS= 1.41D+00 RLast= 9.59D-03 DXNew= 5.0454D-01 2.8776D-02 Trust test= 1.07D+00 RLast= 9.59D-03 DXMaxT set to 3.00D-01 The second derivative matrix: R1 R1 1.63426 ITU= 1 0 Use linear search instead of GDIIS. Eigenvalues --- 1.63426 RFO step: Lambda= 0.00000000D+00 EMin= 1.63425778D+00 Quartic linear search produced a step of 0.08307. Iteration 1 RMS(Cart)= 0.00056341 RMS(Int)= 0.00000000 Iteration 2 RMS(Cart)= 0.00000000 RMS(Int)= 0.00000000 ClnCor: largest displacement from symmetrization is 2.44D-20 for atom 1. Variable Old X -DE/DX Delta X Delta X Delta X New X (Linear) (Quad) (Total) R1 2.08829 0.00128 0.00080 0.00000 0.00080 2.08909 Item Value Threshold Converged? Maximum Force 0.001277 0.000450 NO RMS Force 0.001277 0.000300 NO Maximum Displacement 0.000398 0.001800 YES RMS Displacement 0.000563 0.001200 YES Predicted change in Energy=-4.984854D-07 GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad Input orientation: --------------------------------------------------------------------- Center Atomic Atomic Coordinates (Angstroms) Number Number Type X Y Z --------------------------------------------------------------------- 1 7 0 0.965653 -0.582192 0.000000 2 7 0 -0.139845 -0.582192 0.000000 --------------------------------------------------------------------- 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 59.0620218 59.0620218 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 23.4552173789 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: "\\icnas4.cc.ic.ac.uk\as11815\1styearlab\anmol_n2_molecule_optf_pop_test.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=995001. 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 5 cycles NFock= 5 Conv=0.50D-08 -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 -0.000000058 0.000000000 0.000000000 2 7 0.000000058 0.000000000 0.000000000 ------------------------------------------------------------------- Cartesian Forces: Max 0.000000058 RMS 0.000000033 GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad Berny optimization. Using GEDIIS/GDIIS optimizer. Internal Forces: Max 0.000000058 RMS 0.000000058 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 3 DE= -5.08D-07 DEPred=-4.98D-07 R= 1.02D+00 Trust test= 1.02D+00 RLast= 7.97D-04 DXMaxT set to 3.00D-01 The second derivative matrix: R1 R1 1.63426 ITU= 0 1 Use linear search instead of GDIIS. Eigenvalues --- 1.63426 RFO step: Lambda= 0.00000000D+00 EMin= 1.63425778D+00 Quartic linear search produced a step of -0.00005. Iteration 1 RMS(Cart)= 0.00000003 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 0.000000 0.000450 YES RMS Force 0.000000 0.000300 YES Maximum Displacement 0.000000 0.001800 YES RMS Displacement 0.000000 0.001200 YES Predicted change in Energy=-1.024804D-15 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 0.965653 -0.582192 0.000000 2 7 0 -0.139845 -0.582192 0.000000 --------------------------------------------------------------------- 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 59.0620218 59.0620218 ********************************************************************** 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 -1.12384 -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= 2.345521737889D+01 E-N=-3.026346812276D+02 KE= 1.084740734125D+02 Symmetry AG KE= 5.302688041384D+01 Symmetry B1G KE= 1.382929144756D-34 Symmetry B2G KE= 1.699026398110D-32 Symmetry B3G KE= 4.547559853708D-32 Symmetry AU KE= 4.501389744155D-34 Symmetry B1U KE= 4.865763866049D+01 Symmetry B2U KE= 3.394777169103D+00 Symmetry B3U KE= 3.394777169103D+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: Title Card Required Storage needed: 2904 in NPA, 3709 in NBO ( 268435428 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-CHWS-128|FOpt|RB3LYP|6-31G(d,p)|N2|AS11815|20-Fe b-2017|0||# opt freq b3lyp/6-31g(d,p) pop=nbo geom=connectivity integr al=grid=ultrafine||Title Card Required||0,1|N,0.9656528897,-0.58219177 ,0.|N,-0.1398445697,-0.58219177,0.||Version=EM64W-G09RevD.01|State=1-S GG|HF=-109.5241287|RMSD=5.016e-009|RMSF=3.342e-008|Dipole=0.,0.,0.|Qua drupole=-0.7722741,0.386137,0.386137,0.,0.,0.|PG=D*H [C*(N1.N1)]||@ THE ... SCIENTISTS WERE WRONG ... THE MOST PERSISTENT PRINCIPLES OF THE UNIVERSE WERE ACCIDENT AND ERROR. -- FRANK HERBERT IN DUNE Job cpu time: 0 days 0 hours 0 minutes 15.0 seconds. File lengths (MBytes): RWF= 5 Int= 0 D2E= 0 Chk= 1 Scr= 1 Normal termination of Gaussian 09 at Mon Feb 20 12:02:08 2017. 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: "\\icnas4.cc.ic.ac.uk\as11815\1styearlab\anmol_n2_molecule_optf_pop_test.chk" ------------------- Title Card Required ------------------- Charge = 0 Multiplicity = 1 Redundant internal coordinates found in file. N,0,0.9656528897,-0.58219177,0. N,0,-0.1398445697,-0.58219177,0. 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 0.965653 -0.582192 0.000000 2 7 0 -0.139845 -0.582192 0.000000 --------------------------------------------------------------------- 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 59.0620218 59.0620218 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 23.4552173789 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: "\\icnas4.cc.ic.ac.uk\as11815\1styearlab\anmol_n2_molecule_optf_pop_test.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=995001. 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 1 cycles NFock= 1 Conv=0.17D-09 -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 -1.12384 -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= 2.345521737889D+01 E-N=-3.026346812749D+02 KE= 1.084740734393D+02 Symmetry AG KE= 5.302688042515D+01 Symmetry B1G KE= 1.382929145730D-34 Symmetry B2G KE= 3.812616881770D-32 Symmetry B3G KE= 3.376588527414D-32 Symmetry AU KE= 4.501389716888D-34 Symmetry B1U KE= 4.865763866833D+01 Symmetry B2U KE= 3.394777172901D+00 Symmetry B3U KE= 3.394777172901D+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: Title Card Required Storage needed: 2904 in NPA, 3709 in NBO ( 268435428 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 --- 0.0013 0.0013 0.0017 4.5602 4.5602 2457.3312 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 -- 2457.3312 Red. masses -- 14.0031 Frc consts -- 49.8197 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 30.55671 30.55671 X 0.00000 1.00000 0.00000 Y 0.00000 0.00000 1.00000 Z 1.00000 0.00000 0.00000 This molecule is a prolate symmetric top. Rotational symmetry number 2. Rotational temperature (Kelvin) 2.83453 Rotational constant (GHZ): 59.062022 Zero-point vibrational energy 14698.1 (Joules/Mol) 3.51293 (Kcal/Mol) Vibrational temperatures: 3535.55 (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 0.815209D+06 5.911269 13.611200 Total V=0 0.306382D+09 8.486263 19.540342 Vib (Bot) 0.266078D-02 -2.574990 -5.929134 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 1.720924 3.962575 ***** Axes restored to original set ***** ------------------------------------------------------------------- Center Atomic Forces (Hartrees/Bohr) Number Number X Y Z ------------------------------------------------------------------- 1 7 -0.000000059 0.000000000 0.000000000 2 7 0.000000059 0.000000000 0.000000000 ------------------------------------------------------------------- Cartesian Forces: Max 0.000000059 RMS 0.000000034 FormGI is forming the generalized inverse of G from B-inverse, IUseBI=4. GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad Berny optimization. Internal Forces: Max 0.000000059 RMS 0.000000059 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)= 0.00000003 RMS(Int)= 0.00000000 ClnCor: largest displacement from symmetrization is 1.12D-24 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 0.000000 0.000450 YES RMS Force 0.000000 0.000300 YES Maximum Displacement 0.000000 0.001800 YES RMS Displacement 0.000000 0.001200 YES Predicted change in Energy=-1.076088D-15 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-CHWS-128|Freq|RB3LYP|6-31G(d,p)|N2|AS11815|20-Fe b-2017|0||#N Geom=AllCheck Guess=TCheck SCRF=Check GenChk RB3LYP/6-31G (d,p) Freq||Title Card Required||0,1|N,0.9656528897,-0.58219177,0.|N,- 0.1398445697,-0.58219177,0.||Version=EM64W-G09RevD.01|State=1-SGG|HF=- 109.5241287|RMSD=1.671e-010|RMSF=3.388e-008|ZeroPoint=0.0055982|Therma l=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=13.3337666,0.,6.1378889,0.,0.,6.1378889| PG=D*H [C*(N1.N1)]|NImag=0||1.59997141,0.,0.00000551,0.,0.,0.00000551, -1.59997141,0.,0.,1.59997141,0.,-0.00000551,0.,0.,0.00000551,0.,0.,-0. 00000551,0.,0.,0.00000551||0.00000006,0.,0.,-0.00000006,0.,0.|||@ GROWING OLD ISN'T SO BAD -- WHEN YOU CONSIDER THE ALTERNATIVE. -- MAURICE CHEVALIER Job cpu time: 0 days 0 hours 0 minutes 7.0 seconds. File lengths (MBytes): RWF= 5 Int= 0 D2E= 0 Chk= 1 Scr= 1 Normal termination of Gaussian 09 at Mon Feb 20 12:02:15 2017.