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

using model chemistry: B3PW91/6-31G

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
 hartrees
Energy at 0K-225.944054
Energy at 298.15K-225.950126
HF Energy-225.944054
Nuclear repulsion energy165.715191
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
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 3302 3163 10.73      
2 A1 3107 2976 1.39      
3 A1 1696 1625 22.34      
4 A1 1445 1384 26.42      
5 A1 1387 1328 4.66      
6 A1 1264 1211 10.15      
7 A1 1049 1005 6.56      
8 A1 943 903 8.97      
9 A2 1163 1114 0.00      
10 A2 932 893 0.00      
11 A2 566 542 0.00      
12 B1 3155 3022 0.62      
13 B1 1036 993 16.63      
14 B1 846 810 10.58      
15 B1 397 381 54.60      
16 B2 3285 3146 8.48      
17 B2 1761 1687 0.04      
18 B2 1355 1298 11.31      
19 B2 1269 1216 2.27      
20 B2 1090 1044 37.51      
21 B2 954 914 83.84      

Unscaled Zero Point Vibrational Energy (zpe) 16001.9 cm-1
Scaled (by 0.9577) Zero Point Vibrational Energy (zpe) 15325.0 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
ABC
0.36089 0.29809 0.16847

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/6-31G

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.216
N2 0.000 0.998 0.283
N3 0.000 -0.998 0.283
C4 0.000 0.732 -0.957
C5 0.000 -0.732 -0.957
H6 -0.891 0.000 1.849
H7 0.891 0.000 1.849
H8 0.000 1.473 -1.741
H9 0.000 -1.473 -1.741

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.36551.36552.29242.29241.09351.09353.30343.3034
N21.36551.99541.26822.12822.05952.05952.07943.1944
N31.36551.99542.12821.26822.05952.05953.19442.0794
C42.29241.26822.12821.46383.03363.03361.07932.3406
C52.29242.12821.26821.46383.03363.03362.34061.0793
H61.09352.05952.05953.03363.03361.78273.98173.9817
H71.09352.05952.05953.03363.03361.78273.98173.9817
H83.30342.07943.19441.07932.34063.98173.98172.9467
H93.30343.19442.07942.34061.07933.98173.98172.9467

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 120.962 C1 N3 C5 120.962
N2 C1 N3 93.879 N2 C1 H6 113.297
N2 C1 H7 113.297 N2 C4 C5 102.099
N2 C4 H8 124.507 N3 C1 H6 113.297
N3 C1 H7 113.297 N3 C5 C4 102.099
N3 C5 H9 124.507 C4 C5 H9 133.394
C5 C4 H8 133.394 H6 C1 H7 109.203
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.116      
2 N -0.382      
3 N -0.382      
4 C -0.017      
5 C -0.017      
6 H 0.259      
7 H 0.259      
8 H 0.198      
9 H 0.198      


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 -0.547 0.547
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.056 0.000 0.000
y 0.000 -35.964 0.000
z 0.000 0.000 -21.159
Traceless
 xyz
x 0.506 0.000 0.000
y 0.000 -11.357 0.000
z 0.000 0.000 10.851
Polar
3z2-r221.702
x2-y27.908
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.199 0.000 0.000
y 0.000 4.784 0.000
z 0.000 0.000 7.821


<r2> (average value of r2) Å2
<r2> 77.903
(<r2>)1/2 8.826