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

using model chemistry: HSEh1PBE/6-31+G**

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/6-31+G**
 hartrees
Energy at 0K-225.893475
Energy at 298.15K-225.899488
HF Energy-225.893475
Nuclear repulsion energy166.901393
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/6-31+G**
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 3264 3117 12.35      
2 A1 3085 2946 0.75      
3 A1 1736 1657 19.58      
4 A1 1426 1361 0.03      
5 A1 1385 1323 35.49      
6 A1 1269 1212 4.98      
7 A1 1051 1003 0.82      
8 A1 937 895 10.07      
9 A2 1144 1092 0.00      
10 A2 922 880 0.00      
11 A2 547 522 0.00      
12 B1 3128 2987 1.60      
13 B1 1003 958 22.70      
14 B1 828 791 5.58      
15 B1 368 351 42.29      
16 B2 3249 3103 4.28      
17 B2 1810 1728 1.08      
18 B2 1407 1343 39.84      
19 B2 1243 1187 1.06      
20 B2 1091 1041 35.47      
21 B2 926 885 72.07      

Unscaled Zero Point Vibrational Energy (zpe) 15909.6 cm-1
Scaled (by 0.9548) Zero Point Vibrational Energy (zpe) 15190.5 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/6-31+G**
ABC
0.36337 0.30471 0.17114

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.198
N2 0.000 0.997 0.282
N3 0.000 -0.997 0.282
C4 0.000 0.725 -0.945
C5 0.000 -0.725 -0.945
H6 -0.893 0.000 1.834
H7 0.893 0.000 1.834
H8 0.000 1.472 -1.730
H9 0.000 -1.472 -1.730

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.35391.35392.26282.26281.09631.09633.27783.2778
N21.35391.99301.25682.11392.04942.04942.06763.1847
N31.35391.99302.11391.25682.04942.04943.18472.0676
C42.26281.25682.11391.44953.00793.00791.08392.3328
C52.26282.11391.25681.44953.00793.00792.33281.0839
H61.09632.04942.04943.00793.00791.78643.95853.9585
H71.09632.04942.04943.00793.00791.78643.95853.9585
H83.27782.06763.18471.08392.33283.95853.95852.9440
H93.27783.18472.06762.33281.08393.95853.95852.9440

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 120.117 C1 N3 C5 120.117
N2 C1 N3 94.790 N2 C1 H6 113.112
N2 C1 H7 113.112 N2 C4 C5 102.488
N2 C4 H8 123.925 N3 C1 H6 113.112
N3 C1 H7 113.112 N3 C5 C4 102.488
N3 C5 H9 123.925 C4 C5 H9 133.586
C5 C4 H8 133.586 H6 C1 H7 109.120
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.190      
2 N -0.246      
3 N -0.246      
4 C -0.042      
5 C -0.042      
6 H 0.214      
7 H 0.214      
8 H 0.169      
9 H 0.169      


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 -0.796 0.796
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.631 0.000 0.000
y 0.000 -36.366 0.000
z 0.000 0.000 -21.528
Traceless
 xyz
x 0.316 0.000 0.000
y 0.000 -11.287 0.000
z 0.000 0.000 10.971
Polar
3z2-r221.942
x2-y27.736
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.516 0.000 0.000
y 0.000 6.710 0.000
z 0.000 0.000 8.506


<r2> (average value of r2) Å2
<r2> 77.314
(<r2>)1/2 8.793