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

using model chemistry: PBEPBE/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 PBEPBE/6-311G**
 hartrees
Energy at 0K-225.899649
Energy at 298.15K-225.905579
HF Energy-225.899649
Nuclear repulsion energy166.200427
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 PBEPBE/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 3137 3109 19.04      
2 A1 2982 2955 0.17      
3 A1 1657 1642 16.33      
4 A1 1365 1352 1.10      
5 A1 1327 1315 31.40      
6 A1 1228 1217 9.18      
7 A1 1010 1001 2.35      
8 A1 893 885 13.57      
9 A2 1095 1085 0.00      
10 A2 886 878 0.00      
11 A2 532 527 0.00      
12 B1 3014 2986 0.62      
13 B1 960 952 19.07      
14 B1 796 789 5.80      
15 B1 364 361 38.52      
16 B2 3122 3094 9.95      
17 B2 1718 1702 1.41      
18 B2 1330 1318 37.35      
19 B2 1184 1173 1.25      
20 B2 1051 1041 24.84      
21 B2 907 899 81.90      

Unscaled Zero Point Vibrational Energy (zpe) 15278.4 cm-1
Scaled (by 0.9909) Zero Point Vibrational Energy (zpe) 15139.4 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 PBEPBE/6-311G**
ABC
0.36116 0.30157 0.16970

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.203
N2 0.000 0.997 0.284
N3 0.000 -0.997 0.284
C4 0.000 0.729 -0.951
C5 0.000 -0.729 -0.951
H6 -0.897 0.000 1.847
H7 0.897 0.000 1.847
H8 0.000 1.488 -1.735
H9 0.000 -1.488 -1.735

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.35631.35632.27452.27451.10361.10363.29403.2940
N21.35631.99361.26332.12222.05932.05932.07793.2017
N31.35631.99362.12221.26332.05932.05933.20172.0779
C42.27451.26332.12221.45873.02713.02711.09132.3520
C52.27452.12221.26331.45873.02713.02712.35201.0913
H61.10362.05932.05933.02713.02711.79333.98113.9811
H71.10362.05932.05933.02713.02711.79333.98113.9811
H83.29402.07793.20171.09132.35203.98113.98112.9761
H93.29403.20172.07792.35201.09133.98113.98112.9761

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 120.477 C1 N3 C5 120.477
N2 C1 N3 94.603 N2 C1 H6 113.286
N2 C1 H7 113.286 N2 C4 C5 102.222
N2 C4 H8 123.731 N3 C1 H6 113.286
N3 C1 H7 113.286 N3 C5 C4 102.222
N3 C5 H9 123.731 C4 C5 H9 134.047
C5 C4 H8 134.047 H6 C1 H7 108.683
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.004      
2 N -0.267      
3 N -0.267      
4 C -0.020      
5 C -0.020      
6 H 0.172      
7 H 0.172      
8 H 0.114      
9 H 0.114      


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 -0.433 0.433
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.207 0.000 0.000
y 0.000 -34.919 0.000
z 0.000 0.000 -21.875
Traceless
 xyz
x 0.190 0.000 0.000
y 0.000 -9.878 0.000
z 0.000 0.000 9.688
Polar
3z2-r219.376
x2-y26.712
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.857 0.000 0.000
y 0.000 5.682 0.000
z 0.000 0.000 8.341


<r2> (average value of r2) Å2
<r2> 77.538
(<r2>)1/2 8.806