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

using model chemistry: B1B95/cc-pVTZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at B1B95/cc-pVTZ
 hartrees
Energy at 0K-226.172183
Energy at 298.15K-226.178132
HF Energy-226.172183
Nuclear repulsion energy161.964908
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 B1B95/cc-pVTZ
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' 3227 3088 12.48      
2 A' 3206 3069 10.17      
3 A' 3059 2928 1.77      
4 A' 1684 1611 48.97      
5 A' 1584 1516 11.90      
6 A' 1393 1333 23.55      
7 A' 1332 1275 30.35      
8 A' 1314 1257 4.98      
9 A' 1263 1209 5.76      
10 A' 1059 1014 52.52      
11 A' 1023 979 20.02      
12 A' 957 916 3.38      
13 A' 889 851 2.65      
14 A' 884 846 15.32      
15 A" 3091 2958 0.45      
16 A" 1162 1112 0.41      
17 A" 1010 966 12.59      
18 A" 976 934 2.26      
19 A" 751 719 4.92      
20 A" 570 546 21.36      
21 A" 367 351 6.62      

Unscaled Zero Point Vibrational Energy (zpe) 15399.1 cm-1
Scaled (by 0.9571) Zero Point Vibrational Energy (zpe) 14738.5 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 B1B95/cc-pVTZ
ABC
0.32579 0.29808 0.16022

See section I.F.4 to change rotational constant units
Geometric Data calculated at B1B95/cc-pVTZ

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -1.189 0.356 0.000
C2 0.000 1.127 0.000
N3 1.108 0.499 0.000
C4 0.725 -0.892 0.000
C5 -0.759 -0.848 0.000
H6 -0.071 2.204 0.000
H7 1.132 -1.406 0.874
H8 1.132 -1.406 -0.874
H9 -1.425 -1.700 0.000

Atom - Atom Distances (Å)
  N1 C2 N3 C4 C5 H6 H7 H8 H9
N11.41672.30152.28481.27822.16003.04183.04182.0691
C21.41671.27352.14462.11541.08002.90822.90823.1653
N32.30151.27351.44252.30262.07312.09612.09613.3547
C42.28482.14461.44251.48513.19661.09251.09252.2975
C51.27822.11542.30261.48513.12872.15662.15661.0813
H62.16001.08002.07313.19663.12873.90423.90424.1321
H73.04182.90822.09611.09252.15663.90421.74832.7184
H83.04182.90822.09611.09252.15663.90421.74832.7184
H92.06913.16533.35472.29751.08134.13212.71842.7184

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 117.532 N1 C2 H6 119.181
N1 C5 C4 111.327 N1 C5 H9 122.321
C2 N1 C5 103.312 C2 N3 C4 104.121
N3 C2 H6 123.287 N3 C4 C5 103.707
N3 C4 H7 110.792 N3 C4 H8 110.792
C4 C5 H9 126.352 C5 C4 H7 112.686
C5 C4 H8 112.686 H7 C4 H8 106.278
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B1B95/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.184      
2 C 0.013      
3 N -0.205      
4 C -0.095      
5 C -0.075      
6 H 0.134      
7 H 0.130      
8 H 0.130      
9 H 0.152      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.046 -2.047 0.000 2.048
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -34.806 -0.628 0.000
y -0.628 -23.812 0.000
z 0.000 0.000 -28.685
Traceless
 xyz
x -8.558 -0.628 0.000
y -0.628 7.934 0.000
z 0.000 0.000 0.624
Polar
3z2-r21.248
x2-y2-10.995
xy-0.628
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.756 -0.325 0.000
y -0.325 7.745 0.000
z 0.000 0.000 4.328


<r2> (average value of r2) Å2
<r2> 80.436
(<r2>)1/2 8.969