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

using model chemistry: PBEPBEultrafine/6-311G*

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/6-311G*
 hartrees
Energy at 0K-225.968162
Energy at 298.15K-225.973972
HF Energy-225.968162
Nuclear repulsion energy159.989126
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/6-311G*
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' 3134 3102 17.03      
2 A' 3113 3081 14.14      
3 A' 2971 2940 1.74      
4 A' 1591 1575 39.56      
5 A' 1492 1476 6.74      
6 A' 1357 1342 28.63      
7 A' 1279 1266 21.24      
8 A' 1263 1250 4.23      
9 A' 1213 1201 8.74      
10 A' 1010 1000 49.87      
11 A' 976 966 16.12      
12 A' 921 911 4.65      
13 A' 860 851 5.90      
14 A' 856 848 10.90      
15 A" 3001 2969 1.42      
16 A" 1125 1113 0.32      
17 A" 957 947 14.39      
18 A" 915 906 0.48      
19 A" 718 711 9.18      
20 A" 552 546 18.32      
21 A" 357 353 8.65      

Unscaled Zero Point Vibrational Energy (zpe) 14830.2 cm-1
Scaled (by 0.9896) Zero Point Vibrational Energy (zpe) 14676.0 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 PBEPBEultrafine/6-311G*
ABC
0.31917 0.28990 0.15634

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBEultrafine/6-311G*

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -1.206 0.364 0.000
C2 0.000 1.136 0.000
N3 1.127 0.503 0.000
C4 0.731 -0.902 0.000
C5 -0.769 -0.858 0.000
H6 -0.069 2.227 0.000
H7 1.148 -1.421 0.882
H8 1.148 -1.421 -0.882
H9 -1.451 -1.714 0.000

Atom - Atom Distances (Å)
  N1 C2 N3 C4 C5 H6 H7 H8 H9
N11.43122.33712.31341.29742.18153.08313.08312.0922
C21.43121.29282.16432.13631.09312.93792.93793.1973
N32.33711.29281.45952.33382.09842.11642.11643.4000
C42.31342.16431.45951.50033.22891.10571.10572.3278
C51.29742.13632.33381.50033.16242.18452.18451.0945
H62.18151.09312.09843.22893.16243.94503.94504.1752
H73.08312.93792.11641.10572.18453.94501.76502.7606
H83.08312.93792.11641.10572.18453.94501.76502.7606
H92.09223.19733.40002.32781.09454.17522.76062.7606

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 118.086 N1 C2 H6 118.970
N1 C5 C4 111.352 N1 C5 H9 121.788
C2 N1 C5 102.945 C2 N3 C4 103.532
N3 C2 H6 122.944 N3 C4 C5 104.084
N3 C4 H7 110.428 N3 C4 H8 110.428
C4 C5 H9 126.860 C5 C4 H7 113.039
C5 C4 H8 113.039 H7 C4 H8 105.908
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.238      
2 C 0.003      
3 N -0.226      
4 C -0.415      
5 C -0.059      
6 H 0.215      
7 H 0.256      
8 H 0.256      
9 H 0.208      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.092 -2.057 0.000 2.059
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -34.977 -0.628 0.000
y -0.628 -24.101 0.000
z 0.000 0.000 -28.939
Traceless
 xyz
x -8.456 -0.628 0.000
y -0.628 7.857 0.000
z 0.000 0.000 0.600
Polar
3z2-r21.200
x2-y2-10.875
xy-0.628
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.654 -0.342 0.000
y -0.342 7.758 0.000
z 0.000 0.000 3.915


<r2> (average value of r2) Å2
<r2> 82.107
(<r2>)1/2 9.061