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

using model chemistry: PBE1PBE/3-21G*

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/3-21G*
 hartrees
Energy at 0K-224.582156
Energy at 298.15K-224.588220
HF Energy-224.582156
Nuclear repulsion energy165.912759
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/3-21G*
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 3292 3160 7.55      
2 A1 3107 2982 1.66      
3 A1 1701 1632 20.45      
4 A1 1438 1380 20.88      
5 A1 1364 1309 1.94      
6 A1 1245 1195 9.57      
7 A1 1037 996 15.11      
8 A1 907 871 6.69      
9 A2 1179 1132 0.00      
10 A2 968 929 0.00      
11 A2 581 558 0.00      
12 B1 3154 3027 1.33      
13 B1 1011 970 22.12      
14 B1 862 827 8.74      
15 B1 384 369 50.39      
16 B2 3274 3143 10.16      
17 B2 1757 1687 0.26      
18 B2 1323 1270 8.88      
19 B2 1257 1206 1.38      
20 B2 1081 1038 31.50      
21 B2 971 932 94.65      

Unscaled Zero Point Vibrational Energy (zpe) 15945.8 cm-1
Scaled (by 0.9598) Zero Point Vibrational Energy (zpe) 15304.8 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/3-21G*
ABC
0.35976 0.29983 0.16887

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/3-21G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.215
N2 0.000 0.998 0.282
N3 0.000 -0.998 0.282
C4 0.000 0.736 -0.951
C5 0.000 -0.736 -0.951
H6 -0.899 0.000 1.837
H7 0.899 0.000 1.837
H8 0.000 1.466 -1.746
H9 0.000 -1.466 -1.746

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.36591.36592.28782.28781.09351.09353.30323.3032
N21.36591.99551.26062.12802.05492.05492.08073.1905
N31.36591.99552.12801.26062.05492.05493.19052.0807
C42.28781.26062.12801.47303.02103.02101.07832.3411
C52.28782.12801.26061.47303.02103.02102.34111.0783
H61.09352.05492.05493.02103.02101.79793.97403.9740
H71.09352.05492.05493.02103.02101.79793.97403.9740
H83.30322.08073.19051.07832.34113.97403.97402.9317
H93.30323.19052.08072.34111.07833.97403.97402.9317

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 121.112 C1 N3 C5 121.112
N2 C1 N3 93.854 N2 C1 H6 112.882
N2 C1 H7 112.882 N2 C4 C5 101.961
N2 C4 H8 125.476 N3 C1 H6 112.882
N3 C1 H7 112.882 N3 C5 C4 101.961
N3 C5 H9 125.476 C4 C5 H9 132.563
C5 C4 H8 132.563 H6 C1 H7 110.587
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.110      
2 N -0.516      
3 N -0.516      
4 C 0.013      
5 C 0.013      
6 H 0.313      
7 H 0.313      
8 H 0.246      
9 H 0.246      


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 -0.303 0.303
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.338 0.000 0.000
y 0.000 -35.170 0.000
z 0.000 0.000 -21.269
Traceless
 xyz
x -0.119 0.000 0.000
y 0.000 -10.367 0.000
z 0.000 0.000 10.485
Polar
3z2-r220.971
x2-y26.832
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.871 0.000 0.000
y 0.000 4.275 0.000
z 0.000 0.000 7.372


<r2> (average value of r2) Å2
<r2> 77.679
(<r2>)1/2 8.814