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

using model chemistry: PBEPBE/aug-cc-pVDZ

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/aug-cc-pVDZ
 hartrees
Energy at 0K-225.877943
Energy at 298.15K-225.883855
HF Energy-225.877943
Nuclear repulsion energy165.712110
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/aug-cc-pVDZ
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 3151 3132 17.12      
2 A1 2989 2970 0.68      
3 A1 1650 1640 18.17      
4 A1 1366 1357 0.04      
5 A1 1311 1303 38.17      
6 A1 1233 1226 5.81      
7 A1 1010 1004 0.48      
8 A1 895 890 11.11      
9 A2 1085 1078 0.00      
10 A2 870 865 0.00      
11 A2 525 522 0.00      
12 B1 3028 3009 2.45      
13 B1 952 946 20.38      
14 B1 790 785 5.95      
15 B1 359 357 37.40      
16 B2 3136 3117 5.68      
17 B2 1714 1703 1.32      
18 B2 1333 1325 38.58      
19 B2 1177 1170 1.57      
20 B2 1047 1041 26.49      
21 B2 896 891 73.47      

Unscaled Zero Point Vibrational Energy (zpe) 15257.5 cm-1
Scaled (by 0.9939) Zero Point Vibrational Energy (zpe) 15164.5 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/aug-cc-pVDZ
ABC
0.36059 0.29884 0.16877

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/aug-cc-pVDZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.208
N2 0.000 0.997 0.286
N3 0.000 -0.997 0.286
C4 0.000 0.730 -0.956
C5 0.000 -0.730 -0.956
H6 -0.901 0.000 1.853
H7 0.901 0.000 1.853
H8 0.000 1.493 -1.743
H9 0.000 -1.493 -1.743

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.35841.35842.28372.28371.10851.10853.30763.3076
N21.35841.99401.26982.12662.06502.06502.08853.2120
N31.35841.99402.12661.26982.06502.06503.21202.0885
C42.28371.26982.12661.45943.03903.03901.09682.3583
C52.28372.12661.26981.45943.03903.03902.35831.0968
H61.10852.06502.06503.03903.03901.80293.99703.9970
H71.10852.06502.06503.03903.03901.80293.99703.9970
H83.30762.08853.21201.09682.35833.99703.99702.9866
H93.30763.21202.08852.35831.09683.99703.99702.9866

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 120.628 C1 N3 C5 120.628
N2 C1 N3 94.441 N2 C1 H6 113.281
N2 C1 H7 113.281 N2 C4 C5 102.152
N2 C4 H8 123.724 N3 C1 H6 113.281
N3 C1 H7 113.281 N3 C5 C4 102.152
N3 C5 H9 123.724 C4 C5 H9 134.124
C5 C4 H8 134.124 H6 C1 H7 108.828
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.962      
2 N -0.309      
3 N -0.309      
4 C 0.448      
5 C 0.448      
6 H -0.300      
7 H -0.300      
8 H -0.319      
9 H -0.319      


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 -0.685 0.685
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.809 0.000 0.000
y 0.000 -36.437 0.000
z 0.000 0.000 -22.039
Traceless
 xyz
x 0.430 0.000 0.000
y 0.000 -11.013 0.000
z 0.000 0.000 10.584
Polar
3z2-r221.168
x2-y27.629
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.171 0.000 0.000
y 0.000 8.045 0.000
z 0.000 0.000 9.223


<r2> (average value of r2) Å2
<r2> 78.371
(<r2>)1/2 8.853