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

using model chemistry: TPSSh/aug-cc-pVDZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at TPSSh/aug-cc-pVDZ
 hartrees
Energy at 0K-226.266566
Energy at 298.15K-226.272544
HF Energy-226.266566
Nuclear repulsion energy162.657937
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 TPSSh/aug-cc-pVDZ
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' 3627 3508 42.31      
2 A' 3279 3172 2.74      
3 A' 3255 3148 1.60      
4 A' 3248 3142 5.20      
5 A' 1551 1500 8.21      
6 A' 1498 1449 20.27      
7 A' 1437 1390 12.83      
8 A' 1364 1320 5.61      
9 A' 1273 1231 0.28      
10 A' 1164 1126 3.72      
11 A' 1142 1105 4.17      
12 A' 1093 1057 19.36      
13 A' 1073 1038 33.71      
14 A' 930 900 1.44      
15 A' 889 860 7.17      
16 A" 858 830 6.99      
17 A" 809 783 45.25      
18 A" 730 706 36.68      
19 A" 675 653 1.52      
20 A" 641 620 16.47      
21 A" 546 528 78.94      

Unscaled Zero Point Vibrational Energy (zpe) 15541.2 cm-1
Scaled (by 0.9673) Zero Point Vibrational Energy (zpe) 15033.0 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 TPSSh/aug-cc-pVDZ
ABC
0.32348 0.31124 0.15862

See section I.F.4 to change rotational constant units
Geometric Data calculated at TPSSh/aug-cc-pVDZ

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 1.107 0.000
C2 -1.093 0.284 0.000
C3 1.123 0.302 0.000
N4 -0.744 -0.989 0.000
C5 0.637 -0.987 0.000
H6 -0.009 2.118 0.000
H7 -2.109 0.666 0.000
H8 2.126 0.711 0.000
H9 1.203 -1.913 0.000

Atom - Atom Distances (Å)
  N1 C2 C3 N4 C5 H6 H7 H8 H9
N11.36821.38142.22402.18821.01102.15412.16203.2501
C21.36822.21601.32052.14682.13001.08463.24713.1777
C31.38142.21602.26911.37692.14003.25151.08352.2157
N42.22401.32052.26911.38043.19252.14543.33532.1543
C52.18822.14681.37691.38043.17103.20442.25831.0851
H61.01102.13002.14003.19253.17102.55222.55654.2087
H72.15411.08463.25152.14543.20442.55224.23434.1969
H82.16203.24711.08353.33532.25832.55654.23432.7815
H93.25013.17772.21572.15431.08514.20874.19692.7815

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 111.600 N1 C2 H7 122.429
N1 C3 C5 104.993 N1 C3 H8 122.129
C2 N1 C3 107.394 C2 N1 H6 126.423
C2 N4 C5 105.255 C3 N1 H6 126.183
C3 C5 N4 110.758 C3 C5 H9 127.907
N4 C2 H7 125.971 N4 C5 H9 121.335
C5 C3 H8 132.878
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at TPSSh/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.215      
2 C 0.507      
3 C 0.716      
4 N -0.476      
5 C 0.399      
6 H -0.115      
7 H -0.176      
8 H -0.341      
9 H -0.299      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.138 3.538 0.000 3.717
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.696 -0.053 0.000
y -0.053 8.319 0.000
z 0.000 0.000 5.043


<r2> (average value of r2) Å2
<r2> 80.510
(<r2>)1/2 8.973