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

using model chemistry: wB97X-D/TZVP

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/TZVP
 hartrees
Energy at 0K-226.184667
Energy at 298.15K-226.190684
HF Energy-226.184667
Nuclear repulsion energy161.367300
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/TZVP
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 3222 3077 14.98      
2 A1 3079 2940 1.17      
3 A1 1595 1523 6.83      
4 A1 1410 1347 24.70      
5 A1 1352 1291 13.78      
6 A1 1023 977 1.00      
7 A1 974 930 1.36      
8 A1 861 822 5.94      
9 A2 1199 1145 0.00      
10 A2 991 946 0.00      
11 A2 584 557 0.00      
12 B1 3118 2977 0.66      
13 B1 1034 988 28.16      
14 B1 850 811 1.60      
15 B1 388 371 32.99      
16 B2 3209 3064 6.91      
17 B2 1695 1618 0.91      
18 B2 1315 1256 1.80      
19 B2 1278 1221 0.08      
20 B2 998 953 73.75      
21 B2 916 875 11.36      

Unscaled Zero Point Vibrational Energy (zpe) 15544.5 cm-1
Scaled (by 0.955) Zero Point Vibrational Energy (zpe) 14845.0 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 wB97X-D/TZVP
ABC
0.32784 0.29177 0.15891

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.145
N2 0.000 1.090 0.284
N3 0.000 -1.090 0.284
C4 0.000 0.745 -0.912
C5 0.000 -0.745 -0.912
H6 -0.887 0.000 1.772
H7 0.887 0.000 1.772
H8 0.000 1.453 -1.723
H9 0.000 -1.453 -1.723

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.38931.38932.18802.18801.08631.08633.21463.2146
N21.38932.18071.24512.19082.04672.04672.03923.2395
N31.38932.18072.19081.24512.04672.04673.23952.0392
C42.18801.24512.19081.49012.92322.92321.07602.3425
C52.18802.19081.24511.49012.92322.92322.34251.0760
H61.08632.04672.04672.92322.92321.77473.88683.8868
H71.08632.04672.04672.92322.92321.77473.88683.8868
H83.21462.03923.23951.07602.34253.88683.88682.9056
H93.21463.23952.03922.34251.07603.88683.88682.9056

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 112.192 C1 N3 C5 112.192
N2 C1 N3 103.413 N2 C1 H6 110.943
N2 C1 H7 110.943 N2 C4 C5 106.101
N2 C4 H8 122.768 N3 C1 H6 110.943
N3 C1 H7 110.943 N3 C5 C4 106.101
N3 C5 H9 122.768 C4 C5 H9 131.131
C5 C4 H8 131.131 H6 C1 H7 109.547
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.262      
2 N -0.082      
3 N -0.082      
4 C -0.099      
5 C -0.099      
6 H 0.174      
7 H 0.174      
8 H 0.137      
9 H 0.137      


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 -1.232 1.232
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.883 0.000 0.000
y 0.000 -36.043 0.000
z 0.000 0.000 -23.048
Traceless
 xyz
x 0.662 0.000 0.000
y 0.000 -10.077 0.000
z 0.000 0.000 9.416
Polar
3z2-r218.831
x2-y27.159
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.312 0.000 0.000
y 0.000 5.852 0.000
z 0.000 0.000 8.325


<r2> (average value of r2) Å2
<r2> 81.047
(<r2>)1/2 9.003