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All results from a given calculation for C3H4N2 (1H-Imidazole)

using model chemistry: B3LYP/3-21G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at B3LYP/3-21G
 hartrees
Energy at 0K-224.959331
Energy at 298.15K-224.965405
HF Energy-224.959331
Nuclear repulsion energy161.602083
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/3-21G
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' 3586 3460 48.86      
2 A' 3318 3202 1.27      
3 A' 3294 3178 0.16      
4 A' 3291 3176 4.13      
5 A' 1535 1481 19.85      
6 A' 1465 1413 6.31      
7 A' 1396 1347 11.04      
8 A' 1324 1277 10.24      
9 A' 1281 1236 1.97      
10 A' 1157 1116 1.35      
11 A' 1102 1063 19.60      
12 A' 1088 1050 12.36      
13 A' 1051 1014 23.90      
14 A' 963 929 2.70      
15 A' 920 888 11.28      
16 A" 916 884 2.60      
17 A" 850 820 24.39      
18 A" 775 748 33.94      
19 A" 686 662 3.91      
20 A" 658 635 50.16      
21 A" 636 614 120.14      

Unscaled Zero Point Vibrational Energy (zpe) 15645.3 cm-1
Scaled (by 0.9649) Zero Point Vibrational Energy (zpe) 15096.1 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 B3LYP/3-21G
ABC
0.31683 0.30899 0.15643

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/3-21G

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 1.116 0.000
C2 -1.109 0.287 0.000
C3 1.129 0.297 0.000
N4 -0.751 -0.992 0.000
C5 0.651 -0.991 0.000
H6 0.001 2.128 0.000
H7 -2.116 0.664 0.000
H8 2.129 0.692 0.000
H9 1.211 -1.909 0.000

Atom - Atom Distances (Å)
  N1 C2 C3 N4 C5 H6 H7 H8 H9
N11.38401.39482.23762.20531.01232.16382.17093.2585
C21.38402.23791.32822.17522.14961.07583.26293.1947
C31.39482.23792.28001.37422.15043.26621.07492.2078
N42.23761.32822.28001.40263.20962.14623.33652.1664
C52.20532.17521.37421.40263.18623.22482.23981.0753
H61.01232.14962.15043.20963.18622.57432.56704.2146
H72.16381.07583.26622.14623.22482.57434.24544.2066
H82.17093.26291.07493.33652.23982.56704.24542.7583
H93.25853.19472.20782.16641.07534.21464.20662.7583

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 111.168 N1 C2 H7 122.708
N1 C3 C5 105.581 N1 C3 H8 122.515
C2 N1 C3 107.289 C2 N1 H6 126.858
C2 N4 C5 105.574 C3 N1 H6 125.853
C3 C5 N4 110.389 C3 C5 H9 128.255
N4 C2 H7 126.124 N4 C5 H9 121.357
C5 C3 H8 131.905
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.699      
2 C 0.280      
3 C 0.038      
4 N -0.502      
5 C -0.068      
6 H 0.326      
7 H 0.221      
8 H 0.208      
9 H 0.195      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.197 3.641 0.000 3.832
CHELPG        
AIM        
ESP 1.169 3.616 0.000 3.800


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -26.095 -3.294 0.000
y -3.294 -25.266 0.000
z 0.000 0.000 -31.699
Traceless
 xyz
x 2.387 -3.294 0.000
y -3.294 3.631 0.000
z 0.000 0.000 -6.018
Polar
3z2-r2-12.037
x2-y2-0.829
xy-3.294
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.587 -0.276 0.000
y -0.276 6.306 0.000
z 0.000 0.000 1.900


<r2> (average value of r2) Å2
<r2> 80.909
(<r2>)1/2 8.995