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

using model chemistry: wB97X-D/TZVP

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at wB97X-D/TZVP
 hartrees
Energy at 0K-226.214178
Energy at 298.15K-226.220195
HF Energy-226.214178
Nuclear repulsion energy163.952632
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 wB97X-D/TZVP
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' 3711 3544 70.23      
2 A' 3310 3161 0.49      
3 A' 3278 3130 0.55      
4 A' 3275 3128 5.25      
5 A' 1586 1514 13.92      
6 A' 1526 1458 21.98      
7 A' 1461 1395 15.46      
8 A' 1395 1332 7.43      
9 A' 1294 1236 0.45      
10 A' 1185 1132 4.62      
11 A' 1163 1111 2.66      
12 A' 1114 1064 27.41      
13 A' 1087 1039 37.80      
14 A' 955 912 2.78      
15 A' 917 876 6.44      
16 A" 886 846 6.07      
17 A" 823 786 32.81      
18 A" 736 703 43.99      
19 A" 687 656 4.21      
20 A" 650 621 12.13      
21 A" 539 515 96.41      

Unscaled Zero Point Vibrational Energy (zpe) 15788.1 cm-1
Scaled (by 0.955) Zero Point Vibrational Energy (zpe) 15077.7 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 wB97X-D/TZVP
ABC
0.32813 0.31678 0.16118

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/TZVP

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 1.099 0.000
C2 -1.084 0.281 0.000
C3 1.114 0.297 0.000
N4 -0.739 -0.978 0.000
C5 0.633 -0.979 0.000
H6 -0.010 2.103 0.000
H7 -2.095 0.660 0.000
H8 2.112 0.698 0.000
H9 1.193 -1.900 0.000

Atom - Atom Distances (Å)
  N1 C2 C3 N4 C5 H6 H7 H8 H9
N11.35871.37282.20502.17251.00382.14022.15003.2275
C21.35872.19821.30562.12972.11531.07873.22373.1528
C31.37282.19822.24891.36342.12763.22871.07602.1979
N42.20501.30562.24891.37163.16622.12603.30732.1402
C52.17252.12971.36341.37163.14853.18162.23631.0777
H61.00382.11532.12763.16623.14852.53522.54554.1797
H72.14021.07873.22872.12603.18162.53524.20694.1660
H82.15003.22371.07603.30732.23632.54554.20692.7556
H93.22753.15282.19792.14021.07774.17974.16602.7556

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 111.696 N1 C2 H7 122.401
N1 C3 C5 105.118 N1 C3 H8 122.330
C2 N1 C3 107.178 C2 N1 H6 126.452
C2 N4 C5 105.380 C3 N1 H6 126.370
C3 C5 N4 110.627 C3 C5 H9 128.033
N4 C2 H7 125.903 N4 C5 H9 121.340
C5 C3 H8 132.552
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.145      
2 C -0.096      
3 C -0.143      
4 N -0.135      
5 C -0.132      
6 H 0.252      
7 H 0.129      
8 H 0.138      
9 H 0.132      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.170 3.723 0.000 3.902
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -26.537 -3.424 0.000
y -3.424 -25.525 0.000
z 0.000 0.000 -31.875
Traceless
 xyz
x 2.163 -3.424 0.000
y -3.424 3.681 0.000
z 0.000 0.000 -5.843
Polar
3z2-r2-11.687
x2-y2-1.012
xy-3.424
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.620 -0.079 0.000
y -0.079 7.356 0.000
z 0.000 0.000 4.204


<r2> (average value of r2) Å2
<r2> 79.332
(<r2>)1/2 8.907