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

using model chemistry: B97D3/6-31G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at B97D3/6-31G**
 hartrees
Energy at 0K-225.972980
Energy at 298.15K-225.978913
HF Energy-225.972980
Nuclear repulsion energy166.111022
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 B97D3/6-31G**
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 3167 3167 24.29      
2 A1 3004 3004 1.06      
3 A1 1676 1676 20.00      
4 A1 1387 1387 3.42      
5 A1 1362 1362 16.53      
6 A1 1245 1245 6.42      
7 A1 1015 1015 3.57      
8 A1 904 904 11.76      
9 A2 1119 1119 0.00      
10 A2 886 886 0.00      
11 A2 532 532 0.00      
12 B1 3041 3041 0.23      
13 B1 983 983 15.19      
14 B1 800 800 3.68      
15 B1 359 359 39.49      
16 B2 3152 3152 19.57      
17 B2 1735 1735 0.47      
18 B2 1351 1351 34.83      
19 B2 1215 1215 1.39      
20 B2 1065 1065 25.22      
21 B2 923 923 80.09      

Unscaled Zero Point Vibrational Energy (zpe) 15459.6 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 15459.6 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 B97D3/6-31G**
ABC
0.36089 0.30103 0.16946

See section I.F.4 to change rotational constant units
Geometric Data calculated at B97D3/6-31G**

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.206
N2 0.000 0.997 0.284
N3 0.000 -0.997 0.284
C4 0.000 0.731 -0.952
C5 0.000 -0.731 -0.952
H6 -0.896 0.000 1.845
H7 0.896 0.000 1.845
H8 0.000 1.485 -1.737
H9 0.000 -1.485 -1.737

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.35791.35792.27782.27781.10081.10083.29603.2960
N21.35791.99391.26392.12392.05802.05802.07863.2005
N31.35791.99392.12391.26392.05802.05803.20052.0786
C42.27781.26392.12391.46133.02673.02671.08882.3508
C52.27782.12391.26391.46133.02673.02672.35081.0888
H61.10082.05802.05803.02673.02671.79153.98003.9800
H71.10082.05802.05803.02673.02671.79153.98003.9800
H83.29602.07863.20051.08882.35083.98003.98002.9705
H93.29603.20052.07862.35081.08883.98003.98002.9705

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 120.598 C1 N3 C5 120.598
N2 C1 N3 94.476 N2 C1 H6 113.243
N2 C1 H7 113.243 N2 C4 C5 102.164
N2 C4 H8 123.962 N3 C1 H6 113.243
N3 C1 H7 113.243 N3 C5 C4 102.164
N3 C5 H9 123.962 C4 C5 H9 133.874
C5 C4 H8 133.874 H6 C1 H7 108.925
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B97D3/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.056      
2 N -0.371      
3 N -0.371      
4 C 0.054      
5 C 0.054      
6 H 0.173      
7 H 0.173      
8 H 0.116      
9 H 0.116      


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 -0.502 0.502
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -27.762 0.000 0.000
y 0.000 -34.325 0.000
z 0.000 0.000 -21.600
Traceless
 xyz
x 0.201 0.000 0.000
y 0.000 -9.644 0.000
z 0.000 0.000 9.443
Polar
3z2-r218.886
x2-y26.563
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.437 0.000 0.000
y 0.000 5.277 0.000
z 0.000 0.000 8.078


<r2> (average value of r2) Å2
<r2> 77.324
(<r2>)1/2 8.793