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

using model chemistry: wB97X-D/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 wB97X-D/6-31G**
 hartrees
Energy at 0K-226.119579
Energy at 298.15K-226.125530
HF Energy-226.119579
Nuclear repulsion energy 
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 wB97X-D/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' 3255 3255 15.19      
2 A' 3234 3234 9.62      
3 A' 3082 3082 1.58      
4 A' 1704 1704 46.45      
5 A' 1606 1606 14.85      
6 A' 1428 1428 19.20      
7 A' 1344 1344 28.39      
8 A' 1324 1324 6.91      
9 A' 1280 1280 6.06      
10 A' 1067 1067 55.40      
11 A' 1029 1029 17.50      
12 A' 953 953 2.84      
13 A' 895 895 2.88      
14 A' 888 888 14.31      
15 A" 3126 3126 1.50      
16 A" 1174 1174 0.16      
17 A" 1018 1018 12.26      
18 A" 973 973 0.15      
19 A" 768 768 4.89      
20 A" 571 571 24.40      
21 A" 373 373 8.22      

Unscaled Zero Point Vibrational Energy (zpe) 15546.2 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 15546.2 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 wB97X-D/6-31G**
ABC
0.32246 0.29402 0.15831

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/6-31G**

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -1.197 0.358 0.000
C2 0.000 1.131 0.000
N3 1.116 0.503 0.000
C4 0.732 -0.898 0.000
C5 -0.765 -0.852 0.000
H6 -0.072 2.213 0.000
H7 1.137 -1.410 0.881
H8 1.137 -1.410 -0.881
H9 -1.434 -1.707 0.000

Atom - Atom Distances (Å)
  N1 C2 N3 C4 C5 H6 H7 H8 H9
N11.42462.31722.30181.28532.16933.05833.05832.0792
C21.42461.28052.15662.12521.08482.92002.92003.1798
N32.31721.28051.45212.31752.08272.10602.10603.3739
C42.30182.15661.45211.49713.21331.09691.09692.3118
C51.28532.12522.31751.49713.14252.16922.16921.0859
H62.16931.08482.08273.21333.14253.92023.92024.1503
H73.05832.92002.10601.09692.16923.92021.76222.7341
H83.05832.92002.10601.09692.16923.92021.76222.7341
H92.07923.17983.37392.31181.08594.15032.73412.7341

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 117.779 N1 C2 H6 119.020
N1 C5 C4 111.412 N1 C5 H9 122.307
C2 N1 C5 103.178 C2 N3 C4 104.051
N3 C2 H6 123.201 N3 C4 C5 103.580
N3 C4 H7 110.645 N3 C4 H8 110.645
C4 C5 H9 126.282 C5 C4 H7 112.574
C5 C4 H8 112.574 H7 C4 H8 106.883
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.395      
2 C 0.211      
3 N -0.389      
4 C -0.171      
5 C 0.085      
6 H 0.151      
7 H 0.179      
8 H 0.179      
9 H 0.150      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.024 -2.131 0.000 2.131
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -34.682 -0.626 0.000
y -0.626 -23.446 0.000
z 0.000 0.000 -28.469
Traceless
 xyz
x -8.725 -0.626 0.000
y -0.626 8.129 0.000
z 0.000 0.000 0.595
Polar
3z2-r21.191
x2-y2-11.236
xy-0.626
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.051 -0.384 0.000
y -0.384 7.221 0.000
z 0.000 0.000 3.464


<r2> (average value of r2) Å2
<r2> 81.017
(<r2>)1/2 9.001