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

using model chemistry: HSEh1PBE/6-31G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at HSEh1PBE/6-31G
 hartrees
Energy at 0K-225.785772
Energy at 298.15K-225.791863
HF Energy-225.785772
Nuclear repulsion energy165.905401
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 HSEh1PBE/6-31G
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 3320 3176 9.10      
2 A1 3119 2984 2.02      
3 A1 1709 1635 22.04      
4 A1 1448 1385 27.11      
5 A1 1395 1335 5.58      
6 A1 1271 1216 10.20      
7 A1 1057 1011 6.33      
8 A1 952 911 9.19      
9 A2 1167 1116 0.00      
10 A2 941 900 0.00      
11 A2 571 546 0.00      
12 B1 3168 3031 0.92      
13 B1 1040 995 17.37      
14 B1 851 814 10.33      
15 B1 401 384 54.97      
16 B2 3302 3159 7.42      
17 B2 1777 1700 0.08      
18 B2 1365 1306 11.77      
19 B2 1273 1218 1.92      
20 B2 1097 1050 37.86      
21 B2 960 918 83.66      

Unscaled Zero Point Vibrational Energy (zpe) 16091.9 cm-1
Scaled (by 0.9566) Zero Point Vibrational Energy (zpe) 15393.5 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 HSEh1PBE/6-31G
ABC
0.36144 0.29902 0.16888

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/6-31G

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.214
N2 0.000 0.998 0.283
N3 0.000 -0.998 0.283
C4 0.000 0.731 -0.955
C5 0.000 -0.731 -0.955
H6 -0.891 0.000 1.847
H7 0.891 0.000 1.847
H8 0.000 1.471 -1.739
H9 0.000 -1.471 -1.739

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.36411.36412.28832.28831.09301.09303.29903.2990
N21.36411.99511.26662.12592.05762.05762.07723.1912
N31.36411.99512.12591.26662.05762.05763.19122.0772
C42.28831.26662.12591.46123.02943.02941.07862.3370
C52.28832.12591.26661.46123.02943.02942.33701.0786
H61.09302.05762.05763.02943.02941.78173.97723.9772
H71.09302.05762.05763.02943.02941.78173.97723.9772
H83.29902.07723.19121.07862.33703.97723.97722.9417
H93.29903.19122.07722.33701.07863.97723.97722.9417

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 120.835 C1 N3 C5 120.835
N2 C1 N3 93.992 N2 C1 H6 113.277
N2 C1 H7 113.277 N2 C4 C5 102.169
N2 C4 H8 124.490 N3 C1 H6 113.277
N3 C1 H7 113.277 N3 C5 C4 102.169
N3 C5 H9 124.490 C4 C5 H9 133.341
C5 C4 H8 133.341 H6 C1 H7 109.183
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.119      
2 N -0.387      
3 N -0.387      
4 C -0.017      
5 C -0.017      
6 H 0.262      
7 H 0.262      
8 H 0.202      
9 H 0.202      


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 -0.560 0.560
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.128 0.000 0.000
y 0.000 -36.058 0.000
z 0.000 0.000 -21.214
Traceless
 xyz
x 0.508 0.000 0.000
y 0.000 -11.387 0.000
z 0.000 0.000 10.879
Polar
3z2-r221.757
x2-y27.930
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.191 0.000 0.000
y 0.000 4.757 0.000
z 0.000 0.000 7.789


<r2> (average value of r2) Å2
<r2> 77.805
(<r2>)1/2 8.821