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

using model chemistry: mPW1PW91/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 mPW1PW91/cc-pVTZ
 hartrees
Energy at 0K-226.212832
Energy at 298.15K-226.218792
HF Energy-226.212832
Nuclear repulsion energy161.695567
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 mPW1PW91/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' 3224 3093 11.33      
2 A' 3204 3074 9.03      
3 A' 3056 2931 1.76      
4 A' 1678 1610 48.66      
5 A' 1578 1513 11.85      
6 A' 1395 1338 24.34      
7 A' 1332 1277 29.98      
8 A' 1314 1261 5.32      
9 A' 1266 1214 6.10      
10 A' 1058 1015 53.30      
11 A' 1021 979 20.44      
12 A' 956 917 3.74      
13 A' 894 858 2.23      
14 A' 889 853 15.46      
15 A" 3088 2962 0.38      
16 A" 1164 1117 0.40      
17 A" 1012 971 13.14      
18 A" 978 938 1.85      
19 A" 755 724 5.34      
20 A" 573 550 21.77      
21 A" 371 356 6.67      

Unscaled Zero Point Vibrational Energy (zpe) 15402.4 cm-1
Scaled (by 0.9592) Zero Point Vibrational Energy (zpe) 14774.0 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 mPW1PW91/cc-pVTZ
ABC
0.32462 0.29715 0.15968

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/cc-pVTZ

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -1.190 0.357 0.000
C2 0.000 1.129 0.000
N3 1.110 0.500 0.000
C4 0.727 -0.893 0.000
C5 -0.761 -0.850 0.000
H6 -0.071 2.208 0.000
H7 1.134 -1.409 0.876
H8 1.134 -1.409 -0.876
H9 -1.429 -1.702 0.000

Atom - Atom Distances (Å)
  N1 C2 N3 C4 C5 H6 H7 H8 H9
N11.41852.30432.28841.28022.16323.04703.04702.0723
C21.41851.27542.14852.11941.08182.91372.91373.1707
N32.30431.27541.44512.30672.07642.10022.10023.3608
C42.28842.14851.44511.48843.20231.09451.09452.3026
C51.28022.11942.30671.48843.13442.16102.16101.0831
H62.16321.08182.07643.20233.13443.91143.91144.1390
H73.04702.91372.10021.09452.16103.91141.75112.7244
H83.04702.91372.10021.09452.16103.91141.75112.7244
H92.07233.17073.36082.30261.08314.13902.72442.7244

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 117.511 N1 C2 H6 119.198
N1 C5 C4 111.271 N1 C5 H9 122.317
C2 N1 C5 103.383 C2 N3 C4 104.153
N3 C2 H6 123.291 N3 C4 C5 103.682
N3 C4 H7 110.821 N3 C4 H8 110.821
C4 C5 H9 126.412 C5 C4 H7 112.686
C5 C4 H8 112.686 H7 C4 H8 106.250
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.190      
2 C 0.051      
3 N -0.215      
4 C -0.025      
5 C -0.047      
6 H 0.104      
7 H 0.101      
8 H 0.101      
9 H 0.121      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.035 -2.065 0.000 2.065
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -34.878 -0.623 0.000
y -0.623 -23.758 0.000
z 0.000 0.000 -28.706
Traceless
 xyz
x -8.646 -0.623 0.000
y -0.623 8.034 0.000
z 0.000 0.000 0.613
Polar
3z2-r21.225
x2-y2-11.120
xy-0.623
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.777 -0.323 0.000
y -0.323 7.747 0.000
z 0.000 0.000 4.337


<r2> (average value of r2) Å2
<r2> 80.657
(<r2>)1/2 8.981