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

using model chemistry: BLYP/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 BLYP/3-21G*
 hartrees
Energy at 0K-224.847858
Energy at 298.15K-224.853572
HF Energy-224.847858
Nuclear repulsion energy156.547336
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 BLYP/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' 3180 3159 11.14      
2 A' 3146 3125 7.76      
3 A' 2997 2977 0.29      
4 A' 1488 1479 21.07      
5 A' 1442 1433 14.03      
6 A' 1380 1371 6.92      
7 A' 1258 1250 11.85      
8 A' 1249 1241 3.70      
9 A' 1195 1187 13.83      
10 A' 941 935 37.67      
11 A' 893 887 3.46      
12 A' 857 851 5.35      
13 A' 797 792 8.19      
14 A' 751 746 14.82      
15 A" 3035 3015 0.86      
16 A" 1138 1130 0.08      
17 A" 963 957 19.47      
18 A" 920 914 0.40      
19 A" 737 732 13.94      
20 A" 550 546 14.55      
21 A" 368 365 11.83      

Unscaled Zero Point Vibrational Energy (zpe) 14641.0 cm-1
Scaled (by 0.9935) Zero Point Vibrational Energy (zpe) 14545.9 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 BLYP/3-21G*
ABC
0.30351 0.27746 0.14911

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -1.239 0.345 0.000
C2 0.000 1.174 0.000
N3 1.143 0.542 0.000
C4 0.753 -0.933 0.000
C5 -0.776 -0.886 0.000
H6 -0.104 2.255 0.000
H7 1.172 -1.418 0.897
H8 1.172 -1.418 -0.897
H9 -1.430 -1.757 0.000

Atom - Atom Distances (Å)
  N1 C2 N3 C4 C5 H6 H7 H8 H9
N11.49112.39032.36621.31512.22243.11843.11842.1101
C21.49111.30652.23732.20191.08622.98282.98283.2613
N32.39031.30651.52522.39242.11952.15542.15543.4505
C42.36622.23731.52521.52973.30121.10291.10292.3335
C51.31512.20192.39241.52973.21282.20992.20991.0888
H62.22241.08622.11953.30123.21283.99073.99074.2256
H73.11842.98282.15541.10292.20993.99071.79492.7737
H83.11842.98282.15541.10292.20993.99071.79492.7737
H92.11013.26133.45052.33351.08884.22562.77372.7737

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 117.243 N1 C2 H6 118.304
N1 C5 C4 112.338 N1 C5 H9 122.466
C2 N1 C5 103.199 C2 N3 C4 104.123
N3 C2 H6 124.453 N3 C4 C5 103.097
N3 C4 H7 109.137 N3 C4 H8 109.137
C4 C5 H9 125.196 C5 C4 H7 113.159
C5 C4 H8 113.159 H7 C4 H8 108.914
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at BLYP/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.394      
2 C 0.153      
3 N -0.378      
4 C -0.320      
5 C 0.051      
6 H 0.213      
7 H 0.239      
8 H 0.239      
9 H 0.199      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.219 -1.994 0.000 2.006
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -34.944 -0.758 0.000
y -0.758 -23.880 0.000
z 0.000 0.000 -29.023
Traceless
 xyz
x -8.492 -0.758 0.000
y -0.758 8.103 0.000
z 0.000 0.000 0.389
Polar
3z2-r20.778
x2-y2-11.064
xy-0.758
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.726 -0.341 0.000
y -0.341 7.136 0.000
z 0.000 0.000 3.037


<r2> (average value of r2) Å2
<r2> 84.897
(<r2>)1/2 9.214