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

using model chemistry: B3LYP/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 B3LYP/3-21G
 hartrees
Energy at 0K-224.842515
Energy at 298.15K-224.848568
HF Energy-224.842515
Nuclear repulsion energy165.647265
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 B3LYP/3-21G
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 A1 3262 3148 10.78      
2 A1 3083 2974 0.25      
3 A1 1680 1621 23.57      
4 A1 1450 1399 15.54      
5 A1 1354 1307 1.00      
6 A1 1235 1191 8.03      
7 A1 1024 988 16.22      
8 A1 887 856 5.63      
9 A2 1177 1136 0.00      
10 A2 958 924 0.00      
11 A2 577 557 0.00      
12 B1 3121 3011 0.18      
13 B1 1014 978 17.88      
14 B1 857 827 7.75      
15 B1 382 369 46.73      
16 B2 3246 3132 13.45      
17 B2 1732 1671 0.15      
18 B2 1314 1268 10.48      
19 B2 1258 1214 1.04      
20 B2 1065 1027 29.94      
21 B2 969 935 91.75      

Unscaled Zero Point Vibrational Energy (zpe) 15821.7 cm-1
Scaled (by 0.9649) Zero Point Vibrational Energy (zpe) 15266.4 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 B3LYP/3-21G
ABC
0.35896 0.29849 0.16826

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/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
C11.36891.36892.29402.29401.09351.09353.30983.3098
N21.36891.99601.26162.13112.05912.05912.08353.1933
N31.36891.99602.13111.26162.05912.05913.19332.0835
C42.29401.26162.13111.47793.02833.02831.07822.3450
C52.29402.13111.26161.47793.02833.02832.34501.0782
H61.09352.05912.05913.02833.02831.79523.98203.9820
H71.09352.05912.05913.02833.02831.79523.98203.9820
H83.30982.08353.19331.07822.34503.98203.98202.9341
H93.30983.19332.08352.34501.07823.98203.98202.9341

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 121.345 C1 N3 C5 121.345
N2 C1 N3 93.614 N2 C1 H6 113.010
N2 C1 H7 113.010 N2 C4 C5 101.848
N2 C4 H8 125.675 N3 C1 H6 113.010
N3 C1 H7 113.010 N3 C5 C4 101.848
N3 C5 H9 125.675 C4 C5 H9 132.477
C5 C4 H8 132.477 H6 C1 H7 110.348
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/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 -10.118 0.000
z 0.000 0.000 10.034
Polar
3z2-r220.068
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> 77.916
(<r2>)1/2 8.827