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

using model chemistry: PBE1PBE/aug-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 PBE1PBE/aug-cc-pVTZ
 hartrees
Energy at 0K-226.009355
Energy at 298.15K-226.015305
HF Energy-226.009355
Nuclear repulsion energy161.668015
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 PBE1PBE/aug-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' 3219 3095 9.38      
2 A' 3200 3076 7.27      
3 A' 3049 2931 1.95      
4 A' 1674 1610 50.99      
5 A' 1574 1513 12.67      
6 A' 1384 1331 26.02      
7 A' 1328 1277 30.81      
8 A' 1311 1260 5.86      
9 A' 1260 1212 4.97      
10 A' 1061 1020 50.87      
11 A' 1023 984 22.97      
12 A' 956 919 3.65      
13 A' 892 858 2.23      
14 A' 887 853 13.21      
15 A" 3082 2963 0.09      
16 A" 1159 1115 0.43      
17 A" 1007 968 13.76      
18 A" 974 937 2.13      
19 A" 750 721 5.34      
20 A" 572 550 21.73      
21 A" 366 352 6.38      

Unscaled Zero Point Vibrational Energy (zpe) 15363.6 cm-1
Scaled (by 0.9615) Zero Point Vibrational Energy (zpe) 14772.1 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 PBE1PBE/aug-cc-pVTZ
ABC
0.32430 0.29736 0.15968

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/aug-cc-pVTZ

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -1.189 0.358 0.000
C2 0.000 1.129 0.000
N3 1.110 0.499 0.000
C4 0.726 -0.893 0.000
C5 -0.761 -0.850 0.000
H6 -0.070 2.210 0.000
H7 1.133 -1.410 0.877
H8 1.133 -1.410 -0.877
H9 -1.431 -1.703 0.000

Atom - Atom Distances (Å)
  N1 C2 N3 C4 C5 H6 H7 H8 H9
N11.41752.30332.28761.28132.16453.04743.04742.0747
C21.41751.27652.14912.12051.08332.91562.91563.1730
N32.30331.27651.44402.30622.07882.10042.10043.3618
C42.28762.14911.44401.48763.20411.09611.09612.3037
C51.28132.12052.30621.48763.13742.16112.16111.0845
H62.16451.08332.07883.20413.13743.91433.91434.1431
H73.04742.91562.10041.09612.16113.91431.75362.7257
H83.04742.91562.10041.09612.16113.91431.75362.7257
H92.07473.17303.36182.30371.08454.14312.72572.7257

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 117.415 N1 C2 H6 119.287
N1 C5 C4 111.197 N1 C5 H9 122.331
C2 N1 C5 103.456 C2 N3 C4 104.192
N3 C2 H6 123.298 N3 C4 C5 103.740
N3 C4 H7 110.824 N3 C4 H8 110.824
C4 C5 H9 126.472 C5 C4 H7 112.653
C5 C4 H8 112.653 H7 C4 H8 106.250
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.383      
2 C -0.278      
3 N -0.472      
4 C -0.011      
5 C -0.406      
6 H 0.536      
7 H 0.249      
8 H 0.249      
9 H 0.516      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.029 -2.119 0.000 2.119
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -35.437 -0.646 0.000
y -0.646 -23.940 0.000
z 0.000 0.000 -29.025
Traceless
 xyz
x -8.955 -0.646 0.000
y -0.646 8.291 0.000
z 0.000 0.000 0.664
Polar
3z2-r21.327
x2-y2-11.497
xy-0.646
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.573 -0.283 0.000
y -0.283 8.162 0.000
z 0.000 0.000 4.947


<r2> (average value of r2) Å2
<r2> 80.894
(<r2>)1/2 8.994