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

using model chemistry: wB97X-D/CEP-121G

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-121G
 hartrees
Energy at 0K-38.984401
Energy at 298.15K-38.990452
HF Energy-38.984401
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-121G
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 3261 3261 21.50      
2 A1 3099 3099 0.12      
3 A1 1680 1680 17.06      
4 A1 1437 1437 28.75      
5 A1 1390 1390 12.42      
6 A1 1261 1261 10.04      
7 A1 1036 1036 2.69      
8 A1 933 933 11.69      
9 A2 1177 1177 0.00      
10 A2 903 903 0.00      
11 A2 556 556 0.00      
12 B1 3161 3161 0.07      
13 B1 1039 1039 17.76      
14 B1 838 838 14.54      
15 B1 367 367 49.42      
16 B2 3243 3243 7.08      
17 B2 1747 1747 0.20      
18 B2 1375 1375 17.03      
19 B2 1274 1274 5.04      
20 B2 1092 1092 46.02      
21 B2 945 945 79.70      

Unscaled Zero Point Vibrational Energy (zpe) 15906.4 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 15906.4 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-121G
ABC
0.35785 0.29337 0.16633

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/CEP-121G

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.229
N2 0.000 0.998 0.284
N3 0.000 -0.998 0.284
C4 0.000 0.739 -0.965
C5 0.000 -0.739 -0.965
H6 -0.893 0.000 1.859
H7 0.893 0.000 1.859
H8 0.000 1.487 -1.746
H9 0.000 -1.487 -1.746

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.37471.37472.31552.31551.09271.09273.32573.3257
N21.37471.99701.27592.14042.06722.06722.08783.2088
N31.37471.99702.14041.27592.06722.06723.20882.0878
C42.31551.27592.14041.47903.05253.05251.08052.3590
C52.31552.14041.27591.47903.05253.05252.35901.0805
H61.09272.06722.06723.05253.05251.78653.99993.9999
H71.09272.06722.06723.05253.05251.78653.99993.9999
H83.32572.08783.20881.08052.35903.99993.99992.9732
H93.32573.20882.08782.35901.08053.99993.99992.9732

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 121.710 C1 N3 C5 121.710
N2 C1 N3 93.157 N2 C1 H6 113.324
N2 C1 H7 113.324 N2 C4 C5 101.712
N2 C4 H8 124.543 N3 C1 H6 113.324
N3 C1 H7 113.324 N3 C5 C4 101.712
N3 C5 H9 124.543 C4 C5 H9 133.745
C5 C4 H8 133.745 H6 C1 H7 109.660
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/CEP-121G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.564      
2 N 0.110      
3 N 0.110      
4 C -0.264      
5 C -0.264      
6 H 0.251      
7 H 0.251      
8 H 0.185      
9 H 0.185      


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 -0.711 0.711
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.365 0.000 0.000
y 0.000 -36.637 0.000
z 0.000 0.000 -21.104
Traceless
 xyz
x 0.506 0.000 0.000
y 0.000 -11.903 0.000
z 0.000 0.000 11.397
Polar
3z2-r222.795
x2-y28.273
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.915 0.000 0.000
y 0.000 5.115 0.000
z 0.000 0.000 8.317


<r2> (average value of r2) Å2
<r2> 65.594
(<r2>)1/2 8.099