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

using model chemistry: PBEPBE/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 PBEPBE/3-21G*
 hartrees
Energy at 0K-224.568891
Energy at 298.15K-224.574827
HF Energy-224.568891
Nuclear repulsion energy164.863050
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/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 3182 3034 13.27      
2 A1 3009 2869 0.45      
3 A1 1636 1560 20.97      
4 A1 1388 1324 21.09      
5 A1 1314 1253 0.11      
6 A1 1209 1153 10.66      
7 A1 1003 956 15.33      
8 A1 838 799 7.02      
9 A2 1138 1085 0.00      
10 A2 913 870 0.00      
11 A2 557 531 0.00      
12 B1 3050 2908 0.69      
13 B1 967 922 16.68      
14 B1 820 782 9.65      
15 B1 367 350 46.72      
16 B2 3166 3018 15.46      
17 B2 1676 1599 0.01      
18 B2 1257 1199 9.05      
19 B2 1205 1149 1.93      
20 B2 1045 996 23.75      
21 B2 932 888 97.03      

Unscaled Zero Point Vibrational Energy (zpe) 15335.7 cm-1
Scaled (by 0.9535) Zero Point Vibrational Energy (zpe) 14622.6 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 PBEPBE/3-21G*
ABC
0.35668 0.29500 0.16673

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.223
N2 0.000 0.998 0.285
N3 0.000 -0.998 0.285
C4 0.000 0.744 -0.960
C5 0.000 -0.744 -0.960
H6 -0.905 0.000 1.853
H7 0.905 0.000 1.853
H8 0.000 1.485 -1.756
H9 0.000 -1.485 -1.756

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.36971.36972.30652.30651.10271.10273.32853.3285
N21.36971.99621.27112.14102.06752.06752.09813.2143
N31.36971.99622.14101.27112.06752.06753.21432.0981
C42.30651.27112.14101.48713.04773.04771.08762.3665
C52.30652.14101.27111.48713.04773.04772.36651.0876
H61.10272.06752.06753.04773.04771.80954.00634.0063
H71.10272.06752.06753.04773.04771.80954.00634.0063
H83.32852.09813.21431.08762.36654.00634.00632.9705
H93.32853.21432.09812.36651.08764.00634.00632.9705

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 121.671 C1 N3 C5 121.671
N2 C1 N3 93.554 N2 C1 H6 113.049
N2 C1 H7 113.049 N2 C4 C5 101.552
N2 C4 H8 125.448 N3 C1 H6 113.049
N3 C1 H7 113.049 N3 C5 C4 101.552
N3 C5 H9 125.448 C4 C5 H9 133.000
C5 C4 H8 133.000 H6 C1 H7 110.264
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.115      
2 N -0.472      
3 N -0.472      
4 C 0.014      
5 C 0.014      
6 H 0.297      
7 H 0.297      
8 H 0.218      
9 H 0.218      


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 -0.126 0.126
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.294 0.000 0.000
y 0.000 -34.931 0.000
z 0.000 0.000 -21.509
Traceless
 xyz
x -0.074 0.000 0.000
y 0.000 -10.029 0.000
z 0.000 0.000 10.103
Polar
3z2-r220.206
x2-y26.637
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.937 0.000 0.000
y 0.000 4.531 0.000
z 0.000 0.000 7.620


<r2> (average value of r2) Å2
<r2> 78.484
(<r2>)1/2 8.859