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

using model chemistry: PBEPBE/6-31G(2df,p)

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/6-31G(2df,p)
 hartrees
Energy at 0K-225.857754
Energy at 298.15K-225.863679
HF Energy-225.857754
Nuclear repulsion energy166.157827
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/6-31G(2df,p)
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 3147 3114 18.22      
2 A1 2982 2952 0.00      
3 A1 1670 1653 17.32      
4 A1 1363 1349 0.49      
5 A1 1325 1312 27.13      
6 A1 1232 1220 7.06      
7 A1 1014 1003 2.19      
8 A1 894 885 12.95      
9 A2 1098 1086 0.00      
10 A2 891 882 0.00      
11 A2 534 528 0.00      
12 B1 3018 2987 0.65      
13 B1 963 953 15.20      
14 B1 796 788 3.25      
15 B1 363 359 36.20      
16 B2 3131 3099 11.08      
17 B2 1730 1712 0.13      
18 B2 1331 1318 30.08      
19 B2 1189 1177 1.24      
20 B2 1055 1044 21.10      
21 B2 903 894 81.35      

Unscaled Zero Point Vibrational Energy (zpe) 15315.0 cm-1
Scaled (by 0.9897) Zero Point Vibrational Energy (zpe) 15157.2 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/6-31G(2df,p)
ABC
0.36104 0.30137 0.16962

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/6-31G(2df,p)

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 0.730 -0.951
C5 0.000 -0.730 -0.951
H6 -0.897 0.000 1.849
H7 0.897 0.000 1.849
H8 0.000 1.488 -1.737
H9 0.000 -1.488 -1.737

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.35621.35622.27482.27481.10501.10503.29543.2954
N21.35621.99351.26332.12272.06112.06112.07963.2025
N31.35621.99352.12271.26332.06112.06113.20252.0796
C42.27481.26332.12271.45973.02943.02941.09182.3527
C52.27482.12271.26331.45973.02943.02942.35271.0918
H61.10502.06112.06113.02943.02941.79373.98463.9846
H71.10502.06112.06113.02943.02941.79373.98463.9846
H83.29542.07963.20251.09182.35273.98463.98462.9753
H93.29543.20252.07962.35271.09183.98463.98462.9753

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 120.500 C1 N3 C5 120.500
N2 C1 N3 94.605 N2 C1 H6 113.339
N2 C1 H7 113.339 N2 C4 C5 102.198
N2 C4 H8 123.849 N3 C1 H6 113.339
N3 C1 H7 113.339 N3 C5 C4 102.198
N3 C5 H9 123.849 C4 C5 H9 133.954
C5 C4 H8 133.954 H6 C1 H7 108.507
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.179      
2 N -0.120      
3 N -0.120      
4 C -0.100      
5 C -0.100      
6 H 0.177      
7 H 0.177      
8 H 0.132      
9 H 0.132      


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 -0.462 0.462
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -27.788 0.000 0.000
y 0.000 -34.024 0.000
z 0.000 0.000 -21.812
Traceless
 xyz
x 0.129 0.000 0.000
y 0.000 -9.224 0.000
z 0.000 0.000 9.095
Polar
3z2-r218.189
x2-y26.236
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.771 0.000 0.000
y 0.000 5.593 0.000
z 0.000 0.000 8.179


<r2> (average value of r2) Å2
<r2> 77.290
(<r2>)1/2 8.791