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All results from a given calculation for C3H4N2 (1H-Imidazole)

using model chemistry: HF/cc-pVTZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at HF/cc-pVTZ
 hartrees
Energy at 0K-224.896770
Energy at 298.15K-224.903003
HF Energy-224.896770
Nuclear repulsion energy165.318949
The energy at 298.15K was derived from the energy at 0K and an integrated heat capacity that used the calculated vibrational frequencies.
Vibrational Frequencies calculated at HF/cc-pVTZ
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 A' 3910 3559 91.14      
2 A' 3427 3118 2.99      
3 A' 3396 3091 3.99      
4 A' 3390 3085 5.90      
5 A' 1723 1568 23.02      
6 A' 1646 1498 22.04      
7 A' 1569 1428 21.87      
8 A' 1484 1350 9.11      
9 A' 1403 1277 0.75      
10 A' 1245 1133 5.36      
11 A' 1219 1109 3.97      
12 A' 1175 1070 12.63      
13 A' 1145 1042 57.11      
14 A' 1019 927 1.49      
15 A' 982 894 7.66      
16 A" 1009 918 0.00      
17 A" 979 891 19.29      
18 A" 842 766 55.12      
19 A" 731 666 12.87      
20 A" 692 630 4.33      
21 A" 540 492 114.25      

Unscaled Zero Point Vibrational Energy (zpe) 16763.1 cm-1
Scaled (by 0.9101) Zero Point Vibrational Energy (zpe) 15256.1 cm-1
See section III.C.1 List or set vibrational scaling factors to change the scale factors used here.
See section III.C.2 Calculate a vibrational scaling factor for a given set of molecules to determine the least squares best scaling factor.
Rotational Constants (cm-1) from geometry optimized at HF/cc-pVTZ
ABC
0.33200 0.32334 0.16381

See section I.F.4 to change rotational constant units
Geometric Data calculated at HF/cc-pVTZ

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 1.092 0.000
C2 -1.073 0.280 0.000
C3 1.107 0.287 0.000
N4 -0.740 -0.963 0.000
C5 0.630 -0.973 0.000
H6 -0.013 2.081 0.000
H7 -2.074 0.656 0.000
H8 2.100 0.676 0.000
H9 1.183 -1.886 0.000

Atom - Atom Distances (Å)
  N1 C2 C3 N4 C5 H6 H7 H8 H9
N11.34571.36932.18432.15930.98902.11922.14143.2051
C21.34572.18001.28602.11372.08991.06953.19763.1271
C31.36932.18002.23061.34742.11563.20241.06642.1748
N42.18431.28602.23061.37023.12962.09713.27932.1334
C52.15932.11371.34741.37023.12133.15642.20921.0678
H60.98902.08992.11563.12963.12132.50542.53864.1442
H72.11921.06953.20242.09713.15642.50544.17424.1314
H82.14143.19761.06643.27932.20922.53864.17422.7215
H93.20513.12712.17482.13341.06784.14424.13142.7215

picture of 1H-Imidazole state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C2 N4 112.177 N1 C2 H7 122.254
N1 C3 C5 105.275 N1 C3 H8 122.598
C2 N1 C3 106.819 C2 N1 H6 126.376
C2 N4 C5 105.407 C3 N1 H6 126.806
C3 C5 N4 110.322 C3 C5 H9 128.064
N4 C2 H7 125.569 N4 C5 H9 121.614
C5 C3 H8 132.127
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HF/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.101      
2 C -0.022      
3 C -0.183      
4 N -0.267      
5 C -0.134      
6 H 0.194      
7 H 0.163      
8 H 0.179      
9 H 0.170      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.067 3.634 0.000 3.788
CHELPG        
AIM -0.448 0.422 0.000 0.615
ESP 1.055 3.595 0.000 3.746


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -26.442 -3.470 0.000
y -3.470 -25.652 0.000
z 0.000 0.000 -32.008
Traceless
 xyz
x 2.388 -3.470 0.000
y -3.470 3.574 0.000
z 0.000 0.000 -5.961
Polar
3z2-r2-11.922
x2-y2-0.791
xy-3.470
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.173 -0.095 0.000
y -0.095 7.054 0.000
z 0.000 0.000 3.926


<r2> (average value of r2) Å2
<r2> 78.359
(<r2>)1/2 8.852