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

using model chemistry: PBE1PBE/cc-pVDZ

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/cc-pVDZ
 hartrees
Energy at 0K-225.947200
Energy at 298.15K-225.953133
HF Energy-225.947200
Nuclear repulsion energy161.012852
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/cc-pVDZ
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' 3233 3109 11.15      
2 A' 3214 3090 6.80      
3 A' 3060 2942 0.79      
4 A' 1688 1623 45.17      
5 A' 1590 1529 13.09      
6 A' 1363 1311 24.76      
7 A' 1322 1271 29.25      
8 A' 1307 1256 5.19      
9 A' 1247 1199 5.87      
10 A' 1070 1029 41.09      
11 A' 1031 992 28.63      
12 A' 958 921 3.01      
13 A' 895 861 4.50      
14 A' 889 855 15.46      
15 A" 3101 2982 0.25      
16 A" 1147 1103 0.36      
17 A" 998 960 11.43      
18 A" 963 926 2.01      
19 A" 745 716 5.83      
20 A" 571 549 20.18      
21 A" 363 349 8.46      

Unscaled Zero Point Vibrational Energy (zpe) 15376.9 cm-1
Scaled (by 0.9615) Zero Point Vibrational Energy (zpe) 14784.9 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/cc-pVDZ
ABC
0.32294 0.29413 0.15847

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -1.197 0.362 0.000
C2 0.000 1.129 0.000
N3 1.118 0.498 0.000
C4 0.727 -0.894 0.000
C5 -0.764 -0.851 0.000
H6 -0.067 2.219 0.000
H7 1.138 -1.417 0.882
H8 1.138 -1.417 -0.882
H9 -1.441 -1.710 0.000

Atom - Atom Distances (Å)
  N1 C2 N3 C4 C5 H6 H7 H8 H9
N11.42102.31882.29811.28832.17363.06533.06532.0868
C21.42101.28382.14982.12191.09272.92512.92513.1836
N32.31881.28381.44602.31542.09002.10902.10903.3800
C42.29812.14981.44601.49183.21341.10481.10482.3168
C51.28832.12192.31541.49183.14842.17152.17151.0939
H62.17361.09272.09003.21343.14843.93163.93164.1627
H73.06532.92512.10901.10482.17153.93161.76452.7412
H83.06532.92512.10901.10482.17153.93161.76452.7412
H92.08683.18363.38002.31681.09394.16272.74122.7412

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 117.935 N1 C2 H6 119.116
N1 C5 C4 111.298 N1 C5 H9 122.114
C2 N1 C5 102.999 C2 N3 C4 103.754
N3 C2 H6 122.949 N3 C4 C5 104.014
N3 C4 H7 110.835 N3 C4 H8 110.835
C4 C5 H9 126.588 C5 C4 H7 112.646
C5 C4 H8 112.646 H7 C4 H8 105.982
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.216      
2 C 0.150      
3 N -0.250      
4 C 0.040      
5 C 0.015      
6 H 0.043      
7 H 0.090      
8 H 0.090      
9 H 0.038      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.055 -2.017 0.000 2.018
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -34.390 -0.629 0.000
y -0.629 -23.832 0.000
z 0.000 0.000 -28.568
Traceless
 xyz
x -8.190 -0.629 0.000
y -0.629 7.647 0.000
z 0.000 0.000 0.543
Polar
3z2-r21.086
x2-y2-10.559
xy-0.629
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.164 -0.358 0.000
y -0.358 7.426 0.000
z 0.000 0.000 3.669


<r2> (average value of r2) Å2
<r2> 81.057
(<r2>)1/2 9.003