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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-226.114280
Energy at 298.15K-226.120225
HF Energy-226.114280
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' 3266 3098 16.12      
2 A' 3244 3077 10.22      
3 A' 3088 2929 1.51      
4 A' 1705 1618 46.80      
5 A' 1608 1525 14.77      
6 A' 1448 1373 19.18      
7 A' 1349 1279 28.19      
8 A' 1331 1262 7.32      
9 A' 1289 1223 5.74      
10 A' 1066 1011 57.29      
11 A' 1031 978 16.42      
12 A' 958 908 2.87      
13 A' 895 849 2.71      
14 A' 888 843 14.18      
15 A" 3131 2970 1.67      
16 A" 1184 1123 0.19      
17 A" 1021 969 12.02      
18 A" 973 923 0.12      
19 A" 772 732 5.42      
20 A" 572 543 24.28      
21 A" 375 355 8.18      

Unscaled Zero Point Vibrational Energy (zpe) 15595.5 cm-1
Scaled (by 0.9485) Zero Point Vibrational Energy (zpe) 14792.3 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
0.32226 0.29385 0.15823

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 -1.199 0.355 0.000
C2 0.000 1.133 0.000
N3 1.113 0.505 0.000
C4 0.737 -0.898 0.000
C5 -0.767 -0.853 0.000
H6 -0.079 2.216 0.000
H7 1.145 -1.405 0.883
H8 1.145 -1.405 -0.883
H9 -1.432 -1.713 0.000

Atom - Atom Distances (Å)
  N1 C2 N3 C4 C5 H6 H7 H8 H9
N11.42952.31712.30631.28232.17253.06133.06132.0805
C21.42951.27782.16032.12831.08612.92102.92103.1855
N32.31711.27781.45242.31902.08492.10502.10503.3759
C42.30632.16031.45241.50493.21891.09701.09702.3173
C51.28232.12832.31901.50493.14482.17712.17711.0873
H62.17251.08612.08493.21893.14483.92313.92314.1553
H73.06132.92102.10501.09702.17713.92311.76632.7411
H83.06132.92102.10501.09702.17713.92311.76632.7411
H92.08053.18553.37592.31731.08734.15532.74112.7411

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 117.609 N1 C2 H6 118.822
N1 C5 C4 111.424 N1 C5 H9 122.586
C2 N1 C5 103.275 C2 N3 C4 104.424
N3 C2 H6 123.568 N3 C4 C5 103.268
N3 C4 H7 110.540 N3 C4 H8 110.540
C4 C5 H9 125.990 C5 C4 H7 112.650
C5 C4 H8 112.650 H7 C4 H8 107.222
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 -0.381      
2 C 0.153      
3 N -0.369      
4 C -0.271      
5 C 0.042      
6 H 0.194      
7 H 0.219      
8 H 0.219      
9 H 0.194      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.015 -2.129 0.000 2.129
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -34.696 -0.618 0.000
y -0.618 -23.427 0.000
z 0.000 0.000 -28.476
Traceless
 xyz
x -8.744 -0.618 0.000
y -0.618 8.159 0.000
z 0.000 0.000 0.586
Polar
3z2-r21.171
x2-y2-11.269
xy-0.618
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.016 -0.387 0.000
y -0.387 7.168 0.000
z 0.000 0.000 3.427


<r2> (average value of r2) Å2
<r2> 81.053
(<r2>)1/2 9.003