return to home page Computational Chemistry Comparison and Benchmark DataBase Release 22 (May 2022) Standard Reference Database 101 National Institute of Standards and Technology
You are here: Calculated > Energy > Optimized > Energy

All results from a given calculation for C3H4N2 (2H-Imidazole)

using model chemistry: B3LYP/CEP-121G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at B3LYP/CEP-121G*
 hartrees
Energy at 0K-39.059098
Energy at 298.15K-39.065069
HF Energy-39.059098
Nuclear repulsion energy85.996087
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 B3LYP/CEP-121G*
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 3203 3105 25.19      
2 A1 3043 2949 1.75      
3 A1 1686 1635 25.33      
4 A1 1419 1376 6.18      
5 A1 1386 1344 16.43      
6 A1 1245 1207 5.18      
7 A1 1018 987 3.31      
8 A1 913 885 12.82      
9 A2 1148 1113 0.00      
10 A2 908 880 0.00      
11 A2 539 523 0.00      
12 B1 3078 2984 0.59      
13 B1 1012 981 19.87      
14 B1 822 797 7.72      
15 B1 357 346 35.81      
16 B2 3189 3091 12.70      
17 B2 1749 1695 0.69      
18 B2 1382 1340 43.06      
19 B2 1240 1202 2.25      
20 B2 1076 1043 35.18      
21 B2 920 892 74.58      

Unscaled Zero Point Vibrational Energy (zpe) 15666.0 cm-1
Scaled (by 0.9694) Zero Point Vibrational Energy (zpe) 15186.6 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 B3LYP/CEP-121G*
ABC
0.35933 0.29995 0.16878

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/CEP-121G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.211
N2 0.000 0.997 0.282
N3 0.000 -0.997 0.282
C4 0.000 0.735 -0.953
C5 0.000 -0.735 -0.953
H6 -0.896 0.000 1.848
H7 0.896 0.000 1.848
H8 0.000 1.489 -1.737
H9 0.000 -1.489 -1.737

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.36301.36302.28532.28531.09931.09933.30273.3027
N21.36301.99491.26262.12762.06132.06132.07823.2028
N31.36301.99492.12761.26262.06132.06133.20282.0782
C42.28531.26262.12761.46993.03093.03091.08772.3578
C52.28532.12761.26261.46993.03093.03092.35781.0877
H61.09932.06132.06133.03093.03091.79233.98383.9838
H71.09932.06132.06133.03093.03091.79233.98383.9838
H83.30272.07823.20281.08772.35783.98383.98382.9772
H93.30273.20282.07822.35781.08773.98383.98382.9772

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 120.960 C1 N3 C5 120.960
N2 C1 N3 94.080 N2 C1 H6 113.247
N2 C1 H7 113.247 N2 C4 C5 101.999
N2 C4 H8 124.143 N3 C1 H6 113.247
N3 C1 H7 113.247 N3 C5 C4 101.999
N3 C5 H9 124.143 C4 C5 H9 133.857
C5 C4 H8 133.857 H6 C1 H7 109.214
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/CEP-121G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.519      
2 N 0.116      
3 N 0.116      
4 C -0.266      
5 C -0.266      
6 H 0.223      
7 H 0.223      
8 H 0.187      
9 H 0.187      


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 -0.682 0.682
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.368 0.000 0.000
y 0.000 -35.213 0.000
z 0.000 0.000 -21.656
Traceless
 xyz
x 0.067 0.000 0.000
y 0.000 -10.202 0.000
z 0.000 0.000 10.135
Polar
3z2-r220.270
x2-y26.846
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.071 0.000 0.000
y 0.000 5.651 0.000
z 0.000 0.000 8.476


<r2> (average value of r2) Å2
<r2> 64.844
(<r2>)1/2 8.053