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

using model chemistry: wB97X-D/CEP-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 wB97X-D/CEP-31G
 hartrees
Energy at 0K-38.971008
Energy at 298.15K-38.977006
HF Energy-38.971008
Nuclear repulsion energy 
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 wB97X-D/CEP-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 3296 3296 22.46      
2 A1 3136 3136 0.46      
3 A1 1695 1695 16.67      
4 A1 1435 1435 29.60      
5 A1 1386 1386 15.64      
6 A1 1262 1262 9.64      
7 A1 1034 1034 1.64      
8 A1 918 918 17.24      
9 A2 1174 1174 0.00      
10 A2 913 913 0.00      
11 A2 551 551 0.00      
12 B1 3194 3194 0.55      
13 B1 1037 1037 16.55      
14 B1 843 843 17.73      
15 B1 355 355 55.68      
16 B2 3274 3274 6.83      
17 B2 1756 1756 0.36      
18 B2 1375 1375 17.68      
19 B2 1263 1263 10.09      
20 B2 1093 1093 50.80      
21 B2 932 932 78.51      

Unscaled Zero Point Vibrational Energy (zpe) 15961.3 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 15961.3 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 wB97X-D/CEP-31G
ABC
0.35539 0.29159 0.16525

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/CEP-31G

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.232
N2 0.000 0.999 0.286
N3 0.000 -0.999 0.286
C4 0.000 0.746 -0.969
C5 0.000 -0.746 -0.969
H6 -0.896 0.000 1.865
H7 0.896 0.000 1.865
H8 0.000 1.499 -1.749
H9 0.000 -1.499 -1.749

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.37591.37592.32382.32381.09671.09673.33703.3370
N21.37591.99711.27932.14872.07222.07222.09543.2216
N31.37591.99712.14871.27932.07222.07223.22162.0954
C42.32381.27932.14871.49233.06413.06411.08452.3771
C52.32382.14871.27931.49233.06413.06412.37711.0845
H61.09672.07222.07223.06413.06411.79114.01404.0140
H71.09672.07222.07223.06413.06411.79114.01404.0140
H83.33702.09543.22161.08452.37714.01404.01402.9983
H93.33703.22162.09542.37711.08454.01404.01402.9983

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 122.089 C1 N3 C5 122.089
N2 C1 N3 93.063 N2 C1 H6 113.396
N2 C1 H7 113.396 N2 C4 C5 101.380
N2 C4 H8 124.648 N3 C1 H6 113.396
N3 C1 H7 113.396 N3 C5 C4 101.380
N3 C5 H9 124.648 C4 C5 H9 133.972
C5 C4 H8 133.972 H6 C1 H7 109.495
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/CEP-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.736      
2 N 0.270      
3 N 0.270      
4 C -0.448      
5 C -0.448      
6 H 0.266      
7 H 0.266      
8 H 0.280      
9 H 0.280      


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 -0.776 0.776
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.215 0.000 0.000
y 0.000 -36.843 0.000
z 0.000 0.000 -20.768
Traceless
 xyz
x 0.590 0.000 0.000
y 0.000 -12.351 0.000
z 0.000 0.000 11.761
Polar
3z2-r223.522
x2-y28.628
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.372 0.000 0.000
y 0.000 4.843 0.000
z 0.000 0.000 7.853


<r2> (average value of r2) Å2
<r2> 65.863
(<r2>)1/2 8.116