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

using model chemistry: B3PW91/6-311G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at B3PW91/6-311G**
 hartrees
Energy at 0K-226.088141
Energy at 298.15K-226.094169
HF Energy-226.088141
Nuclear repulsion energy167.060397
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 B3PW91/6-311G**
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 A1 3219 3101 15.90      
2 A1 3060 2947 0.07      
3 A1 1716 1653 18.12      
4 A1 1410 1358 0.77      
5 A1 1378 1327 31.07      
6 A1 1259 1212 7.42      
7 A1 1039 1001 1.87      
8 A1 933 899 13.38      
9 A2 1139 1097 0.00      
10 A2 927 893 0.00      
11 A2 550 530 0.00      
12 B1 3096 2982 0.28      
13 B1 1000 963 21.41      
14 B1 830 799 5.33      
15 B1 374 360 39.69      
16 B2 3204 3086 7.37      
17 B2 1785 1720 0.68      
18 B2 1388 1336 37.64      
19 B2 1232 1187 0.93      
20 B2 1082 1042 31.83      
21 B2 935 901 77.94      

Unscaled Zero Point Vibrational Energy (zpe) 15778.4 cm-1
Scaled (by 0.9631) Zero Point Vibrational Energy (zpe) 15196.1 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 B3PW91/6-311G**
ABC
0.36309 0.30588 0.17143

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/6-311G**

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.197
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 1.832
H7 0.892 0.000 1.832
H8 0.000 1.472 -1.728
H9 0.000 -1.472 -1.728

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.35351.35352.25922.25921.09531.09533.27453.2745
N21.35351.99291.25302.11272.04862.04862.06443.1828
N31.35351.99292.11271.25302.04862.04863.18282.0644
C42.25921.25302.11271.45183.00413.00411.08352.3344
C52.25922.11271.25301.45183.00413.00412.33441.0835
H61.09532.04862.04863.00413.00411.78363.95503.9550
H71.09532.04862.04863.00413.00411.78363.95503.9550
H83.27452.06443.18281.08352.33443.95503.95502.9448
H93.27453.18282.06442.33441.08353.95503.95502.9448

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 120.121 C1 N3 C5 120.121
N2 C1 N3 94.820 N2 C1 H6 113.136
N2 C1 H7 113.136 N2 C4 C5 102.469
N2 C4 H8 123.986 N3 C1 H6 113.136
N3 C1 H7 113.136 N3 C5 C4 102.469
N3 C5 H9 123.986 C4 C5 H9 133.545
C5 C4 H8 133.545 H6 C1 H7 109.016
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.033      
2 N -0.303      
3 N -0.303      
4 C -0.009      
5 C -0.009      
6 H 0.173      
7 H 0.173      
8 H 0.122      
9 H 0.122      


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 -0.605 0.605
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.068 0.000 0.000
y 0.000 -34.812 0.000
z 0.000 0.000 -21.571
Traceless
 xyz
x 0.124 0.000 0.000
y 0.000 -9.993 0.000
z 0.000 0.000 9.869
Polar
3z2-r219.737
x2-y26.744
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.775 0.000 0.000
y 0.000 5.369 0.000
z 0.000 0.000 8.062


<r2> (average value of r2) Å2
<r2> 76.783
(<r2>)1/2 8.763