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

using model chemistry: PBEPBE/Def2TZVPP

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/Def2TZVPP
 hartrees
Energy at 0K-226.005584
Energy at 298.15K-226.011470
HF Energy-226.005584
Nuclear repulsion energy160.251371
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/Def2TZVPP
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 3118 3081 20.31      
2 A1 2971 2935 0.66      
3 A1 1485 1467 5.93      
4 A1 1333 1317 31.17      
5 A1 1300 1285 5.00      
6 A1 981 969 0.21      
7 A1 951 940 1.03      
8 A1 826 816 5.77      
9 A2 1129 1116 0.00      
10 A2 943 932 0.00      
11 A2 560 553 0.00      
12 B1 2999 2963 0.03      
13 B1 976 964 25.99      
14 B1 798 788 1.35      
15 B1 389 384 30.01      
16 B2 3104 3066 9.35      
17 B2 1588 1569 0.43      
18 B2 1242 1227 0.75      
19 B2 1201 1186 0.01      
20 B2 942 931 73.22      
21 B2 882 871 10.09      

Unscaled Zero Point Vibrational Energy (zpe) 14858.6 cm-1
Scaled (by 0.9879) Zero Point Vibrational Energy (zpe) 14678.8 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 PBEPBE/Def2TZVPP
ABC
0.32334 0.28834 0.15687

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/Def2TZVPP

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.148
N2 0.000 1.091 0.286
N3 0.000 -1.091 0.286
C4 0.000 0.746 -0.916
C5 0.000 -0.746 -0.916
H6 -0.889 0.000 1.778
H7 0.889 0.000 1.778
H8 0.000 1.457 -1.728
H9 0.000 -1.457 -1.728

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.39061.39062.19502.19501.08971.08973.22453.2245
N21.39062.18151.25002.19512.05122.05122.04703.2477
N31.39062.18152.19511.25002.05122.05123.24772.0470
C42.19501.25002.19511.49252.93332.93331.07942.3483
C52.19502.19511.25001.49252.93332.93332.34831.0794
H61.08972.05122.05122.93332.93331.77893.89963.8996
H71.08972.05122.05122.93332.93331.77893.89963.8996
H83.22452.04703.24771.07942.34833.89963.89962.9141
H93.22453.24772.04702.34831.07943.89963.89962.9141

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 112.342 C1 N3 C5 112.342
N2 C1 N3 103.325 N2 C1 H6 111.000
N2 C1 H7 111.000 N2 C4 C5 105.995
N2 C4 H8 122.820 N3 C1 H6 111.000
N3 C1 H7 111.000 N3 C5 C4 105.995
N3 C5 H9 122.820 C4 C5 H9 131.185
C5 C4 H8 131.185 H6 C1 H7 109.416
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/Def2TZVPP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.052      
2 N -0.173      
3 N -0.173      
4 C -0.072      
5 C -0.072      
6 H 0.103      
7 H 0.103      
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 -1.070 1.070
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -29.093 0.000 0.000
y 0.000 -35.875 0.000
z 0.000 0.000 -23.495
Traceless
 xyz
x 0.592 0.000 0.000
y 0.000 -9.580 0.000
z 0.000 0.000 8.989
Polar
3z2-r217.977
x2-y26.782
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.698 0.000 0.000
y 0.000 7.117 0.000
z 0.000 0.000 8.764


<r2> (average value of r2) Å2
<r2> 81.965
(<r2>)1/2 9.053