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

using model chemistry: PBEPBEultrafine/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 PBEPBEultrafine/6-31G**
 hartrees
Energy at 0K-225.924895
Energy at 298.15K-225.930696
HF Energy-225.924895
Nuclear repulsion energy159.692326
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 PBEPBEultrafine/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' 3150 3107 14.26      
2 A' 3133 3090 9.66      
3 A' 2979 2938 0.75      
4 A' 1598 1576 36.11      
5 A' 1499 1479 7.72      
6 A' 1350 1332 22.91      
7 A' 1285 1268 20.60      
8 A' 1266 1249 4.22      
9 A' 1213 1196 8.56      
10 A' 1016 1002 46.80      
11 A' 977 964 15.88      
12 A' 924 911 3.48      
13 A' 857 845 4.11      
14 A' 854 843 11.65      
15 A" 3014 2973 0.49      
16 A" 1114 1098 0.21      
17 A" 959 946 10.39      
18 A" 918 906 0.98      
19 A" 718 708 6.79      
20 A" 549 542 18.27      
21 A" 355 350 9.40      

Unscaled Zero Point Vibrational Energy (zpe) 14863.9 cm-1
Scaled (by 0.9863) Zero Point Vibrational Energy (zpe) 14660.3 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 PBEPBEultrafine/6-31G**
ABC
0.31822 0.28870 0.15577

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -1.209 0.368 0.000
C2 0.000 1.136 0.000
N3 1.132 0.502 0.000
C4 0.731 -0.903 0.000
C5 -0.770 -0.858 0.000
H6 -0.067 2.228 0.000
H7 1.144 -1.427 0.884
H8 1.144 -1.427 -0.884
H9 -1.448 -1.718 0.000

Atom - Atom Distances (Å)
  N1 C2 N3 C4 C5 H6 H7 H8 H9
N11.43222.34472.31921.30202.18273.08863.08862.0999
C21.43221.29782.16622.13761.09422.94252.94253.2006
N32.34471.29781.46082.33822.10222.12112.12113.4035
C42.31922.16621.46081.50203.23141.10721.10722.3264
C51.30202.13762.33821.50203.16532.18412.18411.0951
H62.18271.09422.10223.23143.16533.95053.95054.1811
H73.08862.94252.12111.10722.18413.95051.76722.7543
H83.08862.94252.12111.10722.18413.95051.76722.7543
H92.09993.20063.40352.32641.09514.18112.75432.7543

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 118.299 N1 C2 H6 118.920
N1 C5 C4 111.402 N1 C5 H9 122.093
C2 N1 C5 102.751 C2 N3 C4 103.334
N3 C2 H6 122.781 N3 C4 C5 104.214
N3 C4 H7 110.624 N3 C4 H8 110.624
C4 C5 H9 126.505 C5 C4 H7 112.794
C5 C4 H8 112.794 H7 C4 H8 105.892
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.357      
2 C 0.195      
3 N -0.353      
4 C -0.173      
5 C 0.088      
6 H 0.128      
7 H 0.173      
8 H 0.173      
9 H 0.126      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.103 -2.060 0.000 2.063
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -34.403 -0.671 0.000
y -0.671 -23.838 0.000
z 0.000 0.000 -28.557
Traceless
 xyz
x -8.205 -0.671 0.000
y -0.671 7.642 0.000
z 0.000 0.000 0.563
Polar
3z2-r21.126
x2-y2-10.564
xy-0.671
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.372 -0.314 0.000
y -0.314 7.537 0.000
z 0.000 0.000 3.535


<r2> (average value of r2) Å2
<r2> 82.070
(<r2>)1/2 9.059