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

using model chemistry: HSEh1PBE/STO-3G

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/STO-3G
 hartrees
Energy at 0K-222.998635
Energy at 298.15K-223.004325
HF Energy-222.998635
Nuclear repulsion energy163.979648
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/STO-3G
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 3521 3109 15.13      
2 A1 3358 2966 33.63      
3 A1 1806 1595 8.57      
4 A1 1530 1351 15.83      
5 A1 1421 1255 6.87      
6 A1 1344 1187 8.62      
7 A1 1077 951 1.34      
8 A1 945 834 8.98      
9 A2 1185 1046 0.00      
10 A2 902 796 0.00      
11 A2 556 491 0.00      
12 B1 3460 3056 18.58      
13 B1 1045 923 4.55      
14 B1 821 725 5.05      
15 B1 302 267 35.75      
16 B2 3502 3093 1.01      
17 B2 1869 1651 1.72      
18 B2 1398 1234 3.23      
19 B2 1273 1125 8.08      
20 B2 1101 972 11.07      
21 B2 959 847 66.98      

Unscaled Zero Point Vibrational Energy (zpe) 16686.7 cm-1
Scaled (by 0.8831) Zero Point Vibrational Energy (zpe) 14736.0 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/STO-3G
ABC
0.35813 0.28866 0.16510

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/STO-3G

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.246
N2 0.000 0.999 0.281
N3 0.000 -0.999 0.281
C4 0.000 0.734 -0.970
C5 0.000 -0.734 -0.970
H6 -0.914 0.000 1.873
H7 0.914 0.000 1.873
H8 0.000 1.493 -1.761
H9 0.000 -1.493 -1.761

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.38871.38872.33352.33351.10841.10843.35733.3573
N21.38871.99871.27872.13742.08982.08982.10153.2228
N31.38871.99872.13741.27872.08982.08983.22282.1015
C42.33351.27872.13741.46763.07483.07481.09722.3638
C52.33352.13741.27871.46763.07483.07482.36381.0972
H61.10842.08982.08983.07483.07481.82714.03424.0342
H71.10842.08982.08983.07483.07481.82714.03424.0342
H83.35732.10153.22281.09722.36384.03424.03422.9869
H93.35733.22282.10152.36381.09724.03424.03422.9869

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 121.990 C1 N3 C5 121.990
N2 C1 N3 92.049 N2 C1 H6 113.152
N2 C1 H7 113.152 N2 C4 C5 101.986
N2 C4 H8 124.201 N3 C1 H6 113.152
N3 C1 H7 113.152 N3 C5 C4 101.986
N3 C5 H9 124.201 C4 C5 H9 133.813
C5 C4 H8 133.813 H6 C1 H7 111.022
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/STO-3G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.020      
2 N -0.246      
3 N -0.246      
4 C 0.001      
5 C 0.001      
6 H 0.148      
7 H 0.148      
8 H 0.107      
9 H 0.107      


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 -0.193 0.193
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -25.945 0.000 0.000
y 0.000 -31.986 0.000
z 0.000 0.000 -21.305
Traceless
 xyz
x 0.701 0.000 0.000
y 0.000 -8.361 0.000
z 0.000 0.000 7.660
Polar
3z2-r215.321
x2-y26.041
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 1.588 0.000 0.000
y 0.000 2.577 0.000
z 0.000 0.000 5.141


<r2> (average value of r2) Å2
<r2> 77.988
(<r2>)1/2 8.831