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

using model chemistry: B3PW91/6-31G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at B3PW91/6-31G*
 hartrees
Energy at 0K-226.130704
Energy at 298.15K-226.136650
HF Energy-226.130704
Nuclear repulsion energy163.360545
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 B3PW91/6-31G*
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 A' 3676 3517 49.21      
2 A' 3306 3163 2.25      
3 A' 3278 3136 2.10      
4 A' 3273 3131 7.71      
5 A' 1583 1515 13.74      
6 A' 1531 1464 18.73      
7 A' 1466 1403 14.45      
8 A' 1397 1336 8.69      
9 A' 1293 1237 0.63      
10 A' 1191 1139 4.38      
11 A' 1163 1113 2.54      
12 A' 1115 1067 24.43      
13 A' 1090 1042 30.62      
14 A' 944 903 1.85      
15 A' 903 864 8.09      
16 A" 860 823 5.99      
17 A" 803 768 34.47      
18 A" 721 690 26.76      
19 A" 686 656 2.77      
20 A" 648 620 15.57      
21 A" 523 500 101.84      

Unscaled Zero Point Vibrational Energy (zpe) 15724.8 cm-1
Scaled (by 0.9567) Zero Point Vibrational Energy (zpe) 15043.9 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 B3PW91/6-31G*
ABC
0.32686 0.31346 0.16001

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/6-31G*

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 1.103 0.000
C2 -1.087 0.281 0.000
C3 1.118 0.301 0.000
N4 -0.741 -0.986 0.000
C5 0.633 -0.982 0.000
H6 -0.010 2.112 0.000
H7 -2.100 0.662 0.000
H8 2.118 0.708 0.000
H9 1.197 -1.905 0.000

Atom - Atom Distances (Å)
  N1 C2 C3 N4 C5 H6 H7 H8 H9
N11.36271.37562.21602.17851.00872.14602.15443.2375
C21.36272.20491.31322.13362.12391.08233.23333.1615
C31.37562.20492.26061.37142.13283.23821.07992.2078
N42.21601.31322.26061.37363.18232.13583.32312.1447
C52.17852.13361.37141.37363.15933.18912.25001.0821
H61.00872.12392.13283.18233.15932.54402.54864.1941
H72.14601.08233.23822.13583.18912.54404.21844.1784
H82.15443.23331.07993.32312.25002.54864.21842.7714
H93.23753.16152.20782.14471.08214.19414.17842.7714

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 111.805 N1 C2 H7 122.320
N1 C3 C5 104.942 N1 C3 H8 122.186
C2 N1 C3 107.258 C2 N1 H6 126.539
C2 N4 C5 105.120 C3 N1 H6 126.203
C3 C5 N4 110.875 C3 C5 H9 127.886
N4 C2 H7 125.875 N4 C5 H9 121.239
C5 C3 H8 132.873
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.579      
2 C 0.194      
3 C -0.007      
4 N -0.434      
5 C -0.062      
6 H 0.356      
7 H 0.183      
8 H 0.183      
9 H 0.166      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.130 3.592 0.000 3.765
CHELPG        
AIM        
ESP 1.103 3.567 0.000 3.734


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -25.916 -3.168 0.000
y -3.168 -24.840 0.000
z 0.000 0.000 -31.148
Traceless
 xyz
x 2.078 -3.168 0.000
y -3.168 3.692 0.000
z 0.000 0.000 -5.770
Polar
3z2-r2-11.540
x2-y2-1.076
xy-3.168
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.047 -0.189 0.000
y -0.189 6.763 0.000
z 0.000 0.000 2.615


<r2> (average value of r2) Å2
<r2> 79.356
(<r2>)1/2 8.908