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

using model chemistry: B3LYP/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 B3LYP/CEP-121G
 hartrees
Energy at 0K-38.969085
Energy at 298.15K-38.975105
HF Energy-38.969085
Nuclear repulsion energy85.285810
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/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 3233 3151 17.37      
2 A1 3055 2977 0.00      
3 A1 1652 1610 26.34      
4 A1 1426 1390 25.38      
5 A1 1363 1328 5.72      
6 A1 1241 1209 9.82      
7 A1 1018 992 4.96      
8 A1 907 883 10.61      
9 A2 1160 1131 0.00      
10 A2 891 869 0.00      
11 A2 549 535 0.00      
12 B1 3101 3022 0.03      
13 B1 1036 1010 15.90      
14 B1 831 809 14.50      
15 B1 371 362 47.40      
16 B2 3215 3133 8.85      
17 B2 1705 1662 0.24      
18 B2 1336 1302 17.38      
19 B2 1253 1221 5.90      
20 B2 1067 1040 44.12      
21 B2 933 910 80.43      

Unscaled Zero Point Vibrational Energy (zpe) 15670.9 cm-1
Scaled (by 0.9745) Zero Point Vibrational Energy (zpe) 15271.3 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 B3LYP/CEP-121G
ABC
0.35663 0.29174 0.16553

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/CEP-121G

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.231
N2 0.000 0.999 0.286
N3 0.000 -0.999 0.286
C4 0.000 0.743 -0.969
C5 0.000 -0.743 -0.969
H6 -0.893 0.000 1.867
H7 0.893 0.000 1.867
H8 0.000 1.494 -1.748
H9 0.000 -1.494 -1.748

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.37551.37552.32202.32201.09561.09563.33303.3330
N21.37551.99711.27992.14592.07222.07222.09313.2166
N31.37551.99712.14591.27992.07222.07223.21662.0931
C42.32201.27992.14591.48563.06383.06381.08242.3684
C52.32202.14591.27991.48563.06383.06382.36841.0824
H61.09562.07222.07223.06383.06381.78554.01184.0118
H71.09562.07222.07223.06383.06381.78554.01184.0118
H83.33302.09313.21661.08242.36844.01184.01182.9873
H93.33303.21662.09312.36841.08244.01184.01182.9873

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 121.924 C1 N3 C5 121.924
N2 C1 N3 93.099 N2 C1 H6 113.495
N2 C1 H7 113.495 N2 C4 C5 101.526
N2 C4 H8 124.552 N3 C1 H6 113.495
N3 C1 H7 113.495 N3 C5 C4 101.526
N3 C5 H9 124.552 C4 C5 H9 133.922
C5 C4 H8 133.922 H6 C1 H7 109.142
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/CEP-121G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.592      
2 N 0.164      
3 N 0.164      
4 C -0.274      
5 C -0.274      
6 H 0.234      
7 H 0.234      
8 H 0.172      
9 H 0.172      


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 -0.647 0.647
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.585 0.000 0.000
y 0.000 -36.778 0.000
z 0.000 0.000 -21.550
Traceless
 xyz
x 0.579 0.000 0.000
y 0.000 -11.710 0.000
z 0.000 0.000 11.131
Polar
3z2-r222.261
x2-y28.193
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.937 0.000 0.000
y 0.000 5.343 0.000
z 0.000 0.000 8.470


<r2> (average value of r2) Å2
<r2> 66.002
(<r2>)1/2 8.124