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All results from a given calculation for C3H4N2 (1H-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-225.943955
Energy at 298.15K-225.949762
HF Energy-225.943955
Nuclear repulsion energy162.171570
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
(Å4/u)
Dep P Dep U
1 A' 3558 3499 28.94      
2 A' 3223 3170 2.80      
3 A' 3197 3145 2.46      
4 A' 3191 3138 7.22      
5 A' 1524 1499 10.45      
6 A' 1477 1452 16.47      
7 A' 1414 1390 12.13      
8 A' 1348 1326 8.12      
9 A' 1248 1228 0.58      
10 A' 1157 1138 3.72      
11 A' 1125 1107 3.07      
12 A' 1081 1063 24.18      
13 A' 1056 1038 24.39      
14 A' 914 899 1.72      
15 A' 870 856 9.11      
16 A" 813 800 9.58      
17 A" 750 738 40.68      
18 A" 679 668 14.75      
19 A" 666 655 2.27      
20 A" 627 617 16.38      
21 A" 495 486 87.10      

Unscaled Zero Point Vibrational Energy (zpe) 15206.5 cm-1
Scaled (by 0.9835) Zero Point Vibrational Energy (zpe) 14955.6 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
0.32272 0.30840 0.15770

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 0.000 1.110 0.000
C2 -1.095 0.282 0.000
C3 1.126 0.305 0.000
N4 -0.745 -0.996 0.000
C5 0.637 -0.987 0.000
H6 -0.007 2.128 0.000
H7 -2.115 0.667 0.000
H8 2.131 0.721 0.000
H9 1.206 -1.917 0.000

Atom - Atom Distances (Å)
  N1 C2 C3 N4 C5 H6 H7 H8 H9
N11.37291.38402.23412.19231.01752.16122.16633.2589
C21.37292.22091.32512.14772.14231.09013.25573.1832
C31.38402.22092.27871.38182.14613.26101.08782.2239
N42.23411.32512.27871.38233.20962.15423.34942.1577
C52.19232.14771.38181.38233.18123.21112.26921.0901
H61.01752.14232.14613.20963.18122.56492.55974.2231
H72.16121.09013.26102.15423.21112.56494.24654.2078
H82.16633.25571.08783.34942.26922.55974.24652.7956
H93.25893.18322.22392.15771.09014.22314.20782.7956

picture of 1H-Imidazole state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C2 N4 111.782 N1 C2 H7 122.262
N1 C3 C5 104.869 N1 C3 H8 121.963
C2 N1 C3 107.330 C2 N1 H6 126.684
C2 N4 C5 104.963 C3 N1 H6 125.986
C3 C5 N4 111.056 C3 C5 H9 127.844
N4 C2 H7 125.956 N4 C5 H9 121.100
C5 C3 H8 133.167
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 -0.529      
2 C 0.182      
3 C 0.008      
4 N -0.401      
5 C -0.053      
6 H 0.332      
7 H 0.161      
8 H 0.158      
9 H 0.142      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.090 3.509 0.000 3.674
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -26.180 -3.020 0.000
y -3.020 -24.958 0.000
z 0.000 0.000 -31.177
Traceless
 xyz
x 1.888 -3.020 0.000
y -3.020 3.721 0.000
z 0.000 0.000 -5.608
Polar
3z2-r2-11.217
x2-y2-1.222
xy-3.020
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.305 -0.193 0.000
y -0.193 7.012 0.000
z 0.000 0.000 2.638


<r2> (average value of r2) Å2
<r2> 80.353
(<r2>)1/2 8.964