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

using model chemistry: HSEh1PBE/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 HSEh1PBE/6-31G*
 hartrees
Energy at 0K-225.949088
Energy at 298.15K-225.955017
HF Energy-225.949088
Nuclear repulsion energy161.146739
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 HSEh1PBE/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' 3257 3098 15.41      
2 A' 3237 3079 9.51      
3 A' 3075 2924 1.01      
4 A' 1696 1613 45.49      
5 A' 1597 1519 13.25      
6 A' 1425 1356 21.32      
7 A' 1344 1278 27.27      
8 A' 1326 1261 5.76      
9 A' 1279 1217 6.70      
10 A' 1068 1016 53.09      
11 A' 1031 980 19.15      
12 A' 962 915 2.85      
13 A' 895 851 2.91      
14 A' 888 845 13.92      
15 A" 3114 2961 0.92      
16 A" 1173 1116 0.23      
17 A" 1011 962 10.78      
18 A" 969 922 0.82      
19 A" 757 720 5.96      
20 A" 572 544 22.35      
21 A" 369 351 8.63      

Unscaled Zero Point Vibrational Energy (zpe) 15522.5 cm-1
Scaled (by 0.951) Zero Point Vibrational Energy (zpe) 14761.9 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 HSEh1PBE/6-31G*
ABC
0.32343 0.29433 0.15862

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/6-31G*

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -1.196 0.361 0.000
C2 0.000 1.128 0.000
N3 1.117 0.499 0.000
C4 0.729 -0.896 0.000
C5 -0.765 -0.851 0.000
H6 -0.069 2.212 0.000
H7 1.138 -1.412 0.880
H8 1.138 -1.412 -0.880
H9 -1.436 -1.705 0.000

Atom - Atom Distances (Å)
  N1 C2 N3 C4 C5 H6 H7 H8 H9
N11.42082.31702.29891.28632.16673.05993.05992.0807
C21.42081.28172.15102.12151.08602.91872.91873.1769
N32.31701.28171.44782.31572.08342.10382.10383.3734
C42.29892.15101.44781.49433.20841.09891.09892.3117
C51.28632.12152.31571.49433.14052.16972.16971.0871
H62.16671.08602.08343.20843.14053.91933.91934.1491
H73.05992.91872.10381.09892.16973.91931.75972.7360
H83.05992.91872.10381.09892.16973.91931.75972.7360
H92.08073.17693.37342.31171.08714.14912.73602.7360

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 117.947 N1 C2 H6 119.003
N1 C5 C4 111.314 N1 C5 H9 122.257
C2 N1 C5 103.078 C2 N3 C4 103.840
N3 C2 H6 123.050 N3 C4 C5 103.821
N3 C4 H7 110.654 N3 C4 H8 110.654
C4 C5 H9 126.429 C5 C4 H7 112.702
C5 C4 H8 112.702 H7 C4 H8 106.394
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.378      
2 C 0.154      
3 N -0.365      
4 C -0.285      
5 C 0.045      
6 H 0.191      
7 H 0.224      
8 H 0.224      
9 H 0.191      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.029 -2.109 0.000 2.109
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -34.609 -0.623 0.000
y -0.623 -23.590 0.000
z 0.000 0.000 -28.535
Traceless
 xyz
x -8.547 -0.623 0.000
y -0.623 7.983 0.000
z 0.000 0.000 0.564
Polar
3z2-r21.128
x2-y2-11.020
xy-0.623
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.085 -0.365 0.000
y -0.365 7.203 0.000
z 0.000 0.000 3.432


<r2> (average value of r2) Å2
<r2> 80.939
(<r2>)1/2 8.997