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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-225.877121
Energy at 298.15K-225.883142
HF Energy-225.877121
Nuclear repulsion energy167.032303
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 3267 3107 16.04      
2 A1 3094 2942 0.00      
3 A1 1753 1668 19.18      
4 A1 1438 1368 2.18      
5 A1 1408 1339 22.41      
6 A1 1279 1216 6.03      
7 A1 1055 1004 1.90      
8 A1 944 898 12.74      
9 A2 1157 1100 0.00      
10 A2 927 882 0.00      
11 A2 553 525 0.00      
12 B1 3135 2982 0.03      
13 B1 1015 966 17.31      
14 B1 831 790 4.06      
15 B1 375 356 41.36      
16 B2 3251 3092 10.90      
17 B2 1824 1735 0.08      
18 B2 1417 1347 34.30      
19 B2 1253 1192 0.89      
20 B2 1100 1046 30.66      
21 B2 932 886 77.72      

Unscaled Zero Point Vibrational Energy (zpe) 16003.1 cm-1
Scaled (by 0.951) Zero Point Vibrational Energy (zpe) 15219.0 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
0.36330 0.30562 0.17142

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 1.197
N2 0.000 0.996 0.281
N3 0.000 -0.996 0.281
C4 0.000 0.725 -0.943
C5 0.000 -0.725 -0.943
H6 -0.893 0.000 1.832
H7 0.893 0.000 1.832
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
C11.35311.35312.25942.25941.09651.09653.27593.2759
N21.35311.99281.25412.11252.04882.04882.06653.1841
N31.35311.99282.11251.25412.04882.04883.18412.0665
C42.25941.25412.11251.45023.00473.00471.08482.3338
C52.25942.11251.25411.45023.00473.00472.33381.0848
H61.09652.04882.04883.00473.00471.78683.95673.9567
H71.09652.04882.04883.00473.00471.78683.95673.9567
H83.27592.06653.18411.08482.33383.95673.95672.9445
H93.27593.18412.06652.33381.08483.95673.95672.9445

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 120.081 C1 N3 C5 120.081
N2 C1 N3 94.847 N2 C1 H6 113.098
N2 C1 H7 113.098 N2 C4 C5 102.496
N2 C4 H8 123.974 N3 C1 H6 113.098
N3 C1 H7 113.098 N3 C5 C4 102.496
N3 C5 H9 123.974 C4 C5 H9 133.530
C5 C4 H8 133.530 H6 C1 H7 109.122
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 -0.096      
2 N -0.359      
3 N -0.359      
4 C -0.017      
5 C -0.017      
6 H 0.237      
7 H 0.237      
8 H 0.187      
9 H 0.187      


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 -0.614 0.614
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -27.899 0.000 0.000
y 0.000 -34.446 0.000
z 0.000 0.000 -21.450
Traceless
 xyz
x 0.049 0.000 0.000
y 0.000 -9.771 0.000
z 0.000 0.000 9.722
Polar
3z2-r219.445
x2-y26.547
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.350 0.000 0.000
y 0.000 5.000 0.000
z 0.000 0.000 7.800


<r2> (average value of r2) Å2
<r2> 76.661
(<r2>)1/2 8.756