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 (1H-Imidazole)

using model chemistry: PBE1PBE/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 PBE1PBE/6-31G*
 hartrees
Energy at 0K-225.956056
Energy at 298.15K-225.962028
HF Energy-225.956056
Nuclear repulsion energy163.631851
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 PBE1PBE/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' 3700 3516 55.15      
2 A' 3323 3157 1.57      
3 A' 3294 3130 1.50      
4 A' 3289 3125 6.79      
5 A' 1597 1517 14.64      
6 A' 1544 1467 19.24      
7 A' 1481 1407 13.98      
8 A' 1411 1340 9.02      
9 A' 1298 1233 0.77      
10 A' 1204 1144 4.29      
11 A' 1170 1112 2.48      
12 A' 1123 1067 26.30      
13 A' 1097 1042 29.55      
14 A' 949 902 1.92      
15 A' 907 862 7.81      
16 A" 868 825 5.54      
17 A" 812 772 33.44      
18 A" 729 692 28.84      
19 A" 691 656 2.86      
20 A" 653 621 15.70      
21 A" 530 503 103.65      

Unscaled Zero Point Vibrational Energy (zpe) 15833.0 cm-1
Scaled (by 0.9503) Zero Point Vibrational Energy (zpe) 15046.1 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 PBE1PBE/6-31G*
ABC
0.32802 0.31449 0.16056

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/6-31G*

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 1.101 0.000
C2 -1.085 0.281 0.000
C3 1.116 0.301 0.000
N4 -0.740 -0.984 0.000
C5 0.631 -0.980 0.000
H6 -0.010 2.108 0.000
H7 -2.098 0.661 0.000
H8 2.116 0.708 0.000
H9 1.195 -1.904 0.000

Atom - Atom Distances (Å)
  N1 C2 C3 N4 C5 H6 H7 H8 H9
N11.35971.37282.21202.17461.00782.14312.15203.2333
C21.35972.20051.31082.12952.12011.08223.22883.1573
C31.37282.20052.25691.36962.12953.23351.07972.2058
N42.21201.31082.25691.37113.17732.13333.31902.1424
C52.17462.12951.36961.37113.15463.18472.24781.0818
H61.00782.12012.12953.17733.15462.53992.54604.1891
H72.14311.08223.23352.13333.18472.53994.21374.1740
H82.15203.22881.07973.31902.24782.54604.21372.7687
H93.23333.15732.20582.14241.08184.18914.17402.7687

picture of 1H-Imidazole state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C2 N4 111.835 N1 C2 H7 122.313
N1 C3 C5 104.926 N1 C3 H8 122.229
C2 N1 C3 107.275 C2 N1 H6 126.511
C2 N4 C5 105.100 C3 N1 H6 126.214
C3 C5 N4 110.864 C3 C5 H9 127.876
N4 C2 H7 125.852 N4 C5 H9 121.260
C5 C3 H8 132.845
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.590      
2 C 0.195      
3 C -0.011      
4 N -0.436      
5 C -0.068      
6 H 0.361      
7 H 0.188      
8 H 0.189      
9 H 0.172      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.127 3.604 0.000 3.776
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -25.942 -3.175 0.000
y -3.175 -24.872 0.000
z 0.000 0.000 -31.239
Traceless
 xyz
x 2.113 -3.175 0.000
y -3.175 3.719 0.000
z 0.000 0.000 -5.832
Polar
3z2-r2-11.665
x2-y2-1.071
xy-3.175
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.994 -0.183 0.000
y -0.183 6.723 0.000
z 0.000 0.000 2.615


<r2> (average value of r2) Å2
<r2> 79.185
(<r2>)1/2 8.899