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

using model chemistry: B3LYPultrafine/3-21G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at B3LYPultrafine/3-21G
 hartrees
Energy at 0K-224.842511
Energy at 298.15K-224.848564
HF Energy-224.842511
Nuclear repulsion energy165.647127
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 B3LYPultrafine/3-21G
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 3262 3148 10.76      
2 A1 3082 2974 0.25      
3 A1 1680 1621 23.51      
4 A1 1449 1398 15.56      
5 A1 1355 1307 1.02      
6 A1 1235 1192 8.02      
7 A1 1023 988 16.23      
8 A1 887 856 5.64      
9 A2 1177 1135 0.00      
10 A2 959 925 0.00      
11 A2 577 557 0.00      
12 B1 3121 3011 0.18      
13 B1 1013 978 18.12      
14 B1 858 828 7.55      
15 B1 381 368 46.69      
16 B2 3245 3132 13.43      
17 B2 1731 1671 0.15      
18 B2 1314 1268 10.60      
19 B2 1258 1214 0.91      
20 B2 1065 1027 29.96      
21 B2 969 935 91.72      

Unscaled Zero Point Vibrational Energy (zpe) 15819.8 cm-1
Scaled (by 0.9649) Zero Point Vibrational Energy (zpe) 15264.5 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 B3LYPultrafine/3-21G
ABC
0.35896 0.29849 0.16826

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYPultrafine/3-21G

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.218
N2 0.000 0.998 0.281
N3 0.000 -0.998 0.281
C4 0.000 0.739 -0.953
C5 0.000 -0.739 -0.953
H6 -0.898 0.000 1.843
H7 0.898 0.000 1.843
H8 0.000 1.467 -1.749
H9 0.000 -1.467 -1.749

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.36891.36892.29402.29401.09341.09343.30993.3099
N21.36891.99601.26172.13112.05902.05902.08353.1933
N31.36891.99602.13111.26172.05902.05903.19332.0835
C42.29401.26172.13111.47793.02823.02821.07822.3450
C52.29402.13111.26171.47793.02823.02822.34501.0782
H61.09342.05902.05903.02823.02821.79533.98193.9819
H71.09342.05902.05903.02823.02821.79533.98193.9819
H83.30992.08353.19331.07822.34503.98193.98192.9342
H93.30993.19332.08352.34501.07823.98193.98192.9342

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 121.344 C1 N3 C5 121.344
N2 C1 N3 93.613 N2 C1 H6 113.007
N2 C1 H7 113.007 N2 C4 C5 101.849
N2 C4 H8 125.671 N3 C1 H6 113.007
N3 C1 H7 113.007 N3 C5 C4 101.849
N3 C5 H9 125.671 C4 C5 H9 132.479
C5 C4 H8 132.479 H6 C1 H7 110.359
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYPultrafine/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.068      
2 N -0.495      
3 N -0.495      
4 C 0.036      
5 C 0.036      
6 H 0.281      
7 H 0.281      
8 H 0.211      
9 H 0.211      


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 -0.279 0.279
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.240 0.000 0.000
y 0.000 -35.042 0.000
z 0.000 0.000 -21.607
Traceless
 xyz
x 0.085 0.000 0.000
y 0.000 -10.119 0.000
z 0.000 0.000 10.034
Polar
3z2-r220.067
x2-y26.802
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.869 0.000 0.000
y 0.000 4.290 0.000
z 0.000 0.000 7.422


<r2> (average value of r2) Å2
<r2> 77.915
(<r2>)1/2 8.827