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

using model chemistry: PBE1PBE/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 PBE1PBE/6-311G*
 hartrees
Energy at 0K-225.906010
Energy at 298.15K-225.912047
HF Energy-225.906010
Nuclear repulsion energy167.247054
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 PBE1PBE/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 3241 3106 20.06      
2 A1 3087 2959 0.02      
3 A1 1737 1664 18.69      
4 A1 1428 1368 0.95      
5 A1 1396 1338 31.07      
6 A1 1271 1218 6.90      
7 A1 1050 1006 1.64      
8 A1 942 903 13.73      
9 A2 1156 1108 0.00      
10 A2 925 887 0.00      
11 A2 554 531 0.00      
12 B1 3126 2996 0.04      
13 B1 1012 970 20.57      
14 B1 831 796 6.66      
15 B1 377 361 39.20      
16 B2 3225 3091 9.26      
17 B2 1808 1733 0.58      
18 B2 1409 1350 39.65      
19 B2 1243 1192 1.06      
20 B2 1093 1047 30.97      
21 B2 939 900 78.09      

Unscaled Zero Point Vibrational Energy (zpe) 15922.7 cm-1
Scaled (by 0.9585) Zero Point Vibrational Energy (zpe) 15261.9 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 PBE1PBE/6-311G*
ABC
0.36336 0.30699 0.17184

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/6-311G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.194
N2 0.000 0.996 0.280
N3 0.000 -0.996 0.280
C4 0.000 0.725 -0.941
C5 0.000 -0.725 -0.941
H6 -0.892 0.000 1.829
H7 0.892 0.000 1.829
H8 0.000 1.474 -1.725
H9 0.000 -1.474 -1.725

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.35191.35192.25502.25501.09481.09483.27003.2700
N21.35191.99261.25122.11062.04622.04622.06123.1815
N31.35191.99262.11061.25122.04622.04623.18152.0612
C42.25501.25122.11061.45002.99932.99931.08402.3343
C52.25502.11061.25121.45002.99932.99932.33431.0840
H61.09482.04622.04622.99932.99931.78343.94963.9496
H71.09482.04622.04622.99932.99931.78343.94963.9496
H83.27002.06123.18151.08402.33433.94963.94962.9477
H93.27003.18152.06122.33431.08403.94963.94962.9477

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 120.006 C1 N3 C5 120.006
N2 C1 N3 94.943 N2 C1 H6 113.089
N2 C1 H7 113.089 N2 C4 C5 102.523
N2 C4 H8 123.781 N3 C1 H6 113.089
N3 C1 H7 113.089 N3 C5 C4 102.523
N3 C5 H9 123.781 C4 C5 H9 133.697
C5 C4 H8 133.697 H6 C1 H7 109.077
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.233      
2 N -0.271      
3 N -0.271      
4 C -0.110      
5 C -0.110      
6 H 0.273      
7 H 0.273      
8 H 0.225      
9 H 0.225      


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 -0.628 0.628
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.196 0.000 0.000
y 0.000 -34.812 0.000
z 0.000 0.000 -21.631
Traceless
 xyz
x 0.025 0.000 0.000
y 0.000 -9.898 0.000
z 0.000 0.000 9.873
Polar
3z2-r219.746
x2-y26.615
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.712 0.000 0.000
y 0.000 5.284 0.000
z 0.000 0.000 7.980


<r2> (average value of r2) Å2
<r2> 76.686
(<r2>)1/2 8.757