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All results from a given calculation for C3H4N2 (4H-Imidazole)

using model chemistry: B1B95/6-311G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at B1B95/6-311G**
 hartrees
Energy at 0K-226.149590
Energy at 298.15K-226.155529
HF Energy-226.149590
Nuclear repulsion energy161.716116
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 B1B95/6-311G**
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' 3230 3101 13.28      
2 A' 3208 3080 9.84      
3 A' 3063 2940 1.19      
4 A' 1689 1621 47.74      
5 A' 1588 1525 12.18      
6 A' 1396 1340 24.85      
7 A' 1331 1278 28.47      
8 A' 1313 1261 5.25      
9 A' 1262 1212 6.54      
10 A' 1060 1018 53.79      
11 A' 1025 984 20.51      
12 A' 955 917 3.41      
13 A' 891 855 2.96      
14 A' 884 849 14.44      
15 A" 3097 2974 1.12      
16 A" 1162 1116 0.32      
17 A" 1007 967 14.19      
18 A" 972 933 1.37      
19 A" 751 721 5.84      
20 A" 570 547 22.28      
21 A" 362 348 7.84      

Unscaled Zero Point Vibrational Energy (zpe) 15408.8 cm-1
Scaled (by 0.9601) Zero Point Vibrational Energy (zpe) 14794.0 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 B1B95/6-311G**
ABC
0.32535 0.29665 0.15972

See section I.F.4 to change rotational constant units
Geometric Data calculated at B1B95/6-311G**

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -1.192 0.357 0.000
C2 0.000 1.126 0.000
N3 1.111 0.500 0.000
C4 0.727 -0.892 0.000
C5 -0.761 -0.849 0.000
H6 -0.072 2.206 0.000
H7 1.135 -1.406 0.877
H8 1.135 -1.406 -0.877
H9 -1.430 -1.701 0.000

Atom - Atom Distances (Å)
  N1 C2 N3 C4 C5 H6 H7 H8 H9
N11.41882.30742.28961.28012.16183.04733.04732.0710
C21.41881.27542.14572.11631.08192.90972.90973.1680
N32.30741.27541.44442.30692.07582.09782.09783.3613
C42.28962.14571.44441.48833.19961.09451.09452.3033
C51.28012.11632.30691.48833.13102.16112.16111.0834
H62.16181.08192.07583.19963.13103.90723.90724.1357
H73.04732.90972.09781.09452.16113.90721.75322.7260
H83.04732.90972.09781.09452.16113.90721.75322.7260
H92.07103.16803.36132.30331.08344.13572.72602.7260

picture of 4H-Imidazole state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C2 N3 117.738 N1 C2 H6 119.036
N1 C5 C4 111.376 N1 C5 H9 122.169
C2 N1 C5 103.164 C2 N3 C4 103.993
N3 C2 H6 123.225 N3 C4 C5 103.728
N3 C4 H7 110.677 N3 C4 H8 110.677
C4 C5 H9 126.455 C5 C4 H7 112.703
C5 C4 H8 112.703 H7 C4 H8 106.438
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B1B95/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.276      
2 C 0.127      
3 N -0.288      
4 C -0.170      
5 C 0.003      
6 H 0.131      
7 H 0.172      
8 H 0.172      
9 H 0.130      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.052 -2.085 0.000 2.086
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -34.861 -0.632 0.000
y -0.632 -23.759 0.000
z 0.000 0.000 -28.635
Traceless
 xyz
x -8.664 -0.632 0.000
y -0.632 7.989 0.000
z 0.000 0.000 0.674
Polar
3z2-r21.349
x2-y2-11.102
xy-0.632
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.343 -0.375 0.000
y -0.375 7.450 0.000
z 0.000 0.000 3.854


<r2> (average value of r2) Å2
<r2> 80.615
(<r2>)1/2 8.979