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All results from a given calculation for C3H4N2 (2H-Imidazole)

using model chemistry: B3PW91/6-31G(2df,p)

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at B3PW91/6-31G(2df,p)
 hartrees
Energy at 0K-226.048960
Energy at 298.15K-226.054985
HF Energy-226.048960
Nuclear repulsion energy167.026890
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 B3PW91/6-31G(2df,p)
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 A1 3229 3104 16.31      
2 A1 3060 2942 0.05      
3 A1 1728 1661 19.16      
4 A1 1409 1354 0.33      
5 A1 1378 1324 26.11      
6 A1 1260 1212 5.73      
7 A1 1042 1002 1.90      
8 A1 934 898 12.86      
9 A2 1140 1096 0.00      
10 A2 934 898 0.00      
11 A2 552 531 0.00      
12 B1 3100 2980 0.27      
13 B1 1003 964 17.33      
14 B1 830 798 2.97      
15 B1 374 360 37.42      
16 B2 3213 3089 8.84      
17 B2 1796 1727 0.00      
18 B2 1387 1333 30.95      
19 B2 1237 1189 0.93      
20 B2 1085 1043 26.88      
21 B2 931 895 78.80      

Unscaled Zero Point Vibrational Energy (zpe) 15810.2 cm-1
Scaled (by 0.9614) Zero Point Vibrational Energy (zpe) 15200.0 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 B3PW91/6-31G(2df,p)
ABC
0.36298 0.30573 0.17136

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/6-31G(2df,p)

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.196
N2 0.000 0.996 0.281
N3 0.000 -0.996 0.281
C4 0.000 0.726 -0.943
C5 0.000 -0.726 -0.943
H6 -0.892 0.000 1.834
H7 0.892 0.000 1.834
H8 0.000 1.472 -1.730
H9 0.000 -1.472 -1.730

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.35341.35342.25932.25931.09661.09663.27563.2756
N21.35341.99291.25302.11312.05012.05012.06583.1835
N31.35341.99292.11311.25302.05012.05013.18352.0658
C42.25931.25302.11311.45283.00623.00621.08392.3349
C52.25932.11311.25301.45283.00623.00622.33491.0839
H61.09662.05012.05013.00623.00621.78363.95803.9580
H71.09662.05012.05013.00623.00621.78363.95803.9580
H83.27562.06583.18351.08392.33493.95803.95802.9439
H93.27563.18352.06582.33491.08393.95803.95802.9439

picture of 2H-Imidazole state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 N2 C4 120.141 C1 N3 C5 120.141
N2 C1 N3 94.827 N2 C1 H6 113.189
N2 C1 H7 113.189 N2 C4 C5 102.445
N2 C4 H8 124.099 N3 C1 H6 113.189
N3 C1 H7 113.189 N3 C5 C4 102.445
N3 C5 H9 124.099 C4 C5 H9 133.455
C5 C4 H8 133.455 H6 C1 H7 108.834
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.178      
2 N -0.147      
3 N -0.147      
4 C -0.108      
5 C -0.108      
6 H 0.189      
7 H 0.189      
8 H 0.155      
9 H 0.155      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.000 0.000 -0.633 0.633
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -27.719 0.000 0.000
y 0.000 -33.978 0.000
z 0.000 0.000 -21.510
Traceless
 xyz
x 0.025 0.000 0.000
y 0.000 -9.363 0.000
z 0.000 0.000 9.338
Polar
3z2-r218.676
x2-y26.259
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.717 0.000 0.000
y 0.000 5.357 0.000
z 0.000 0.000 7.946


<r2> (average value of r2) Å2
<r2> 76.556
(<r2>)1/2 8.750