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 (4H-Imidazole)

using model chemistry: B2PLYP/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 B2PLYP/6-31G*
 hartrees
Energy at 0K-225.953874
Energy at 298.15K-225.959791
HF Energy-225.719797
Nuclear repulsion energy160.385155
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 B2PLYP/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' 3267 3101 14.55      
2 A' 3245 3080 8.81      
3 A' 3088 2931 1.31      
4 A' 1654 1570 36.96      
5 A' 1560 1481 9.63      
6 A' 1455 1381 16.61      
7 A' 1343 1275 23.69      
8 A' 1327 1259 5.45      
9 A' 1289 1224 7.49      
10 A' 1046 993 58.61      
11 A' 1008 956 9.21      
12 A' 957 908 2.85      
13 A' 884 839 1.88      
14 A' 881 837 14.72      
15 A" 3127 2968 1.82      
16 A" 1179 1119 0.27      
17 A" 1016 964 11.18      
18 A" 960 912 0.22      
19 A" 763 724 6.09      
20 A" 567 538 21.84      
21 A" 371 352 7.46      

Unscaled Zero Point Vibrational Energy (zpe) 15493.4 cm-1
Scaled (by 0.9492) Zero Point Vibrational Energy (zpe) 14706.3 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 B2PLYP/6-31G*
ABC
0.31999 0.29157 0.15701

See section I.F.4 to change rotational constant units
Geometric Data calculated at B2PLYP/6-31G*

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -1.203 0.361 0.000
C2 0.000 1.135 0.000
N3 1.122 0.504 0.000
C4 0.733 -0.903 0.000
C5 -0.767 -0.855 0.000
H6 -0.072 2.217 0.000
H7 1.141 -1.412 0.881
H8 1.141 -1.412 -0.881
H9 -1.437 -1.709 0.000

Atom - Atom Distances (Å)
  N1 C2 N3 C4 C5 H6 H7 H8 H9
N11.43052.32962.31241.29262.17313.06883.06882.0837
C21.43051.28762.16622.13331.08402.92732.92733.1868
N32.32961.28761.45982.32722.08832.10922.10923.3833
C42.31242.16621.45981.50053.22231.09671.09672.3147
C51.29262.13332.32721.50053.14992.17422.17421.0853
H62.17311.08402.08833.22233.14993.92683.92684.1566
H73.06882.92732.10921.09672.17423.92681.76282.7406
H83.06882.92732.10921.09672.17423.92681.76282.7406
H92.08373.18683.38332.31471.08534.15662.74062.7406

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 117.879 N1 C2 H6 118.942
N1 C5 C4 111.546 N1 C5 H9 122.151
C2 N1 C5 103.030 C2 N3 C4 103.904
N3 C2 H6 123.179 N3 C4 C5 103.641
N3 C4 H7 110.380 N3 C4 H8 110.380
C4 C5 H9 126.303 C5 C4 H7 112.751
C5 C4 H8 112.751 H7 C4 H8 106.971
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B2PLYP/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.413      
2 C 0.194      
3 N -0.404      
4 C -0.225      
5 C 0.067      
6 H 0.186      
7 H 0.204      
8 H 0.204      
9 H 0.188      


Electric dipole moments


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 6.015 -0.354 0.000
y -0.354 7.164 0.000
z 0.000 0.000 3.403


<r2> (average value of r2) Å2
<r2> 81.701
(<r2>)1/2 9.039