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All results from a given calculation for C3H4N2 (2H-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 C2V 1A1
Energy calculated at B3PW91/6-31G*
 hartrees
Energy at 0K-226.033000
Energy at 298.15K-226.039006
HF Energy-226.033000
Nuclear repulsion energy166.841950
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
4/u)
Dep P Dep U
1 A1 3249 3109 17.53      
2 A1 3081 2947 0.03      
3 A1 1738 1663 19.15      
4 A1 1433 1370 3.88      
5 A1 1404 1343 19.89      
6 A1 1272 1217 6.20      
7 A1 1048 1003 1.99      
8 A1 937 897 12.60      
9 A2 1154 1104 0.00      
10 A2 920 880 0.00      
11 A2 549 525 0.00      
12 B1 3121 2986 0.00      
13 B1 1013 969 16.78      
14 B1 827 791 4.41      
15 B1 372 356 41.34      
16 B2 3234 3094 11.97      
17 B2 1808 1729 0.12      
18 B2 1406 1345 33.12      
19 B2 1250 1196 1.11      
20 B2 1095 1047 31.30      
21 B2 928 888 77.40      

Unscaled Zero Point Vibrational Energy (zpe) 15918.5 cm-1
Scaled (by 0.9567) Zero Point Vibrational Energy (zpe) 15229.2 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
0.36285 0.30462 0.17101

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.199
N2 0.000 0.997 0.281
N3 0.000 -0.997 0.281
C4 0.000 0.726 -0.945
C5 0.000 -0.726 -0.945
H6 -0.894 0.000 1.835
H7 0.894 0.000 1.835
H8 0.000 1.474 -1.731
H9 0.000 -1.474 -1.731

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.35461.35462.26352.26351.09701.09703.28023.2802
N21.35461.99321.25602.11472.05072.05072.06873.1870
N31.35461.99322.11471.25602.05072.05073.18702.0687
C42.26351.25602.11471.45223.00913.00911.08542.3367
C52.26352.11471.25601.45223.00913.00912.33671.0854
H61.09702.05072.05073.00913.00911.78753.96123.9612
H71.09702.05072.05073.00913.00911.78753.96123.9612
H83.28022.06873.18701.08542.33673.96123.96122.9487
H93.28023.18702.06872.33671.08543.96123.96122.9487

picture of 2H-Imidazole state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 N2 C4 120.194 C1 N3 C5 120.194
N2 C1 N3 94.737 N2 C1 H6 113.125
N2 C1 H7 113.125 N2 C4 C5 102.437
N2 C4 H8 123.980 N3 C1 H6 113.125
N3 C1 H7 113.125 N3 C5 C4 102.437
N3 C5 H9 123.980 C4 C5 H9 133.583
C5 C4 H8 133.583 H6 C1 H7 109.115
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.092      
2 N -0.359      
3 N -0.359      
4 C -0.014      
5 C -0.014      
6 H 0.235      
7 H 0.235      
8 H 0.184      
9 H 0.184      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.000 0.000 -0.598 0.598
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -27.840 0.000 0.000
y 0.000 -34.385 0.000
z 0.000 0.000 -21.396
Traceless
 xyz
x 0.051 0.000 0.000
y 0.000 -9.767 0.000
z 0.000 0.000 9.717
Polar
3z2-r219.433
x2-y26.545
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.357 0.000 0.000
y 0.000 5.026 0.000
z 0.000 0.000 7.832


<r2> (average value of r2) Å2
<r2> 76.765
(<r2>)1/2 8.762