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

using model chemistry: PBEPBE/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 PBEPBE/cc-pVTZ
 hartrees
Energy at 0K-226.026973
Energy at 298.15K-226.032856
HF Energy-226.026973
Nuclear repulsion energy162.704472
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 PBEPBE/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' 3563 3539 35.23      
2 A' 3201 3179 2.02      
3 A' 3173 3152 0.58      
4 A' 3169 3148 5.77      
5 A' 1506 1496 9.15      
6 A' 1458 1448 14.00      
7 A' 1391 1382 10.70      
8 A' 1329 1320 5.92      
9 A' 1239 1230 0.37      
10 A' 1146 1139 3.60      
11 A' 1112 1105 3.10      
12 A' 1067 1060 22.47      
13 A' 1047 1040 27.68      
14 A' 915 909 1.63      
15 A' 873 867 9.68      
16 A" 833 827 5.96      
17 A" 773 767 38.44      
18 A" 700 695 29.28      
19 A" 666 662 2.61      
20 A" 631 627 10.81      
21 A" 516 513 77.33      

Unscaled Zero Point Vibrational Energy (zpe) 15155.7 cm-1
Scaled (by 0.9931) Zero Point Vibrational Energy (zpe) 15051.1 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 PBEPBE/cc-pVTZ
ABC
0.32395 0.31124 0.15873

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 1.106 0.000
C2 -1.093 0.283 0.000
C3 1.121 0.302 0.000
N4 -0.742 -0.990 0.000
C5 0.636 -0.986 0.000
H6 -0.006 2.120 0.000
H7 -2.110 0.666 0.000
H8 2.124 0.712 0.000
H9 1.204 -1.911 0.000

Atom - Atom Distances (Å)
  N1 C2 C3 N4 C5 H6 H7 H8 H9
N11.36861.37972.22382.18711.01322.15522.16063.2490
C21.36862.21461.32052.14542.13401.08603.24623.1772
C31.37972.21462.26781.37672.13863.25131.08372.2151
N42.22381.32052.26781.37873.19542.14733.33402.1538
C52.18712.14541.37671.37873.17153.20462.25811.0856
H61.01322.13402.13863.19543.17152.55692.55354.2086
H72.15521.08603.25132.14733.20462.55694.23434.1982
H82.16063.24621.08373.33402.25812.55354.23432.7801
H93.24903.17722.21512.15381.08564.20864.19822.7801

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 111.566 N1 C2 H7 122.388
N1 C3 C5 105.023 N1 C3 H8 122.125
C2 N1 C3 107.375 C2 N1 H6 126.621
C2 N4 C5 105.255 C3 N1 H6 126.004
C3 C5 N4 110.780 C3 C5 H9 127.819
N4 C2 H7 126.046 N4 C5 H9 121.401
C5 C3 H8 132.852
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.011      
2 C -0.035      
3 C -0.127      
4 N -0.185      
5 C -0.100      
6 H 0.142      
7 H 0.106      
8 H 0.109      
9 H 0.103      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.068 3.479 0.000 3.639
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -26.819 -3.109 0.000
y -3.109 -25.624 0.000
z 0.000 0.000 -31.704
Traceless
 xyz
x 1.844 -3.109 0.000
y -3.109 3.637 0.000
z 0.000 0.000 -5.482
Polar
3z2-r2-10.963
x2-y2-1.195
xy-3.109
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.135 -0.148 0.000
y -0.148 7.750 0.000
z 0.000 0.000 4.051


<r2> (average value of r2) Å2
<r2> 80.323
(<r2>)1/2 8.962