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

using model chemistry: TPSSh/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 TPSSh/6-31G*
 hartrees
Energy at 0K-226.206635
Energy at 298.15K-226.212514
HF Energy-226.206635
Nuclear repulsion energy160.315469
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 TPSSh/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 A' 3237 3106 18.92      
2 A' 3214 3084 13.41      
3 A' 3054 2930 2.40      
4 A' 1656 1588 41.24      
5 A' 1554 1491 10.39      
6 A' 1438 1380 16.57      
7 A' 1336 1282 23.16      
8 A' 1316 1263 5.68      
9 A' 1273 1221 7.58      
10 A' 1036 994 59.18      
11 A' 999 958 10.04      
12 A' 945 907 3.01      
13 A' 873 837 2.20      
14 A' 871 836 13.38      
15 A" 3089 2964 2.76      
16 A" 1170 1122 0.25      
17 A" 1004 963 12.16      
18 A" 955 917 0.71      
19 A" 750 719 6.29      
20 A" 560 537 20.53      
21 A" 363 348 8.00      

Unscaled Zero Point Vibrational Energy (zpe) 15345.5 cm-1
Scaled (by 0.9594) Zero Point Vibrational Energy (zpe) 14722.5 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 TPSSh/6-31G*
ABC
0.32046 0.29072 0.15688

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -1.206 0.357 0.000
C2 0.000 1.135 0.000
N3 1.120 0.506 0.000
C4 0.740 -0.901 0.000
C5 -0.770 -0.855 0.000
H6 -0.079 2.218 0.000
H7 1.150 -1.409 0.883
H8 1.150 -1.409 -0.883
H9 -1.436 -1.716 0.000

Atom - Atom Distances (Å)
  N1 C2 N3 C4 C5 H6 H7 H8 H9
N11.43472.33062.31671.28862.17533.07373.07372.0862
C21.43471.28422.16552.13391.08622.92742.92743.1919
N32.33061.28421.45752.32962.08982.10872.10873.3869
C42.31672.16551.45751.51043.22431.09791.09792.3230
C51.28862.13392.32961.51043.15022.18462.18461.0880
H62.17531.08622.08983.22433.15023.92953.92954.1615
H73.07372.92742.10871.09792.18463.92951.76512.7494
H83.07372.92742.10871.09792.18463.92951.76512.7494
H92.08623.19193.38692.32301.08804.16152.74942.7494

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 117.903 N1 C2 H6 118.636
N1 C5 C4 111.478 N1 C5 H9 122.536
C2 N1 C5 103.045 C2 N3 C4 104.161
N3 C2 H6 123.461 N3 C4 C5 103.413
N3 C4 H7 110.423 N3 C4 H8 110.423
C4 C5 H9 125.986 C5 C4 H7 112.807
C5 C4 H8 112.807 H7 C4 H8 107.000
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at TPSSh/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.380      
2 C 0.163      
3 N -0.372      
4 C -0.253      
5 C 0.050      
6 H 0.184      
7 H 0.212      
8 H 0.212      
9 H 0.183      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.032 -2.078 0.000 2.078
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.197 -0.339 0.000
y -0.339 7.318 0.000
z 0.000 0.000 3.455


<r2> (average value of r2) Å2
<r2> 81.582
(<r2>)1/2 9.032