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All results from a given calculation for C3H4N2 (4H-Imidazole)

using model chemistry: B3LYP/STO-3G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at B3LYP/STO-3G
 hartrees
Energy at 0K-223.317329
Energy at 298.15K-223.322918
HF Energy-223.317329
Nuclear repulsion energy155.145374
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/STO-3G
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 A' 3454 3082 4.14      
2 A' 3448 3077 12.76      
3 A' 3309 2953 9.63      
4 A' 1668 1488 10.78      
5 A' 1585 1415 7.05      
6 A' 1545 1379 3.91      
7 A' 1354 1209 5.43      
8 A' 1336 1192 19.48      
9 A' 1293 1154 0.78      
10 A' 1013 904 16.74      
11 A' 994 887 5.38      
12 A' 975 870 7.72      
13 A' 876 781 5.94      
14 A' 853 761 2.27      
15 A" 3410 3043 2.99      
16 A" 1200 1071 0.57      
17 A" 1009 900 4.58      
18 A" 930 830 0.19      
19 A" 778 695 9.87      
20 A" 549 490 8.20      
21 A" 370 330 7.94      

Unscaled Zero Point Vibrational Energy (zpe) 15975.0 cm-1
Scaled (by 0.8924) Zero Point Vibrational Energy (zpe) 14256.1 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/STO-3G
ABC
0.30134 0.27005 0.14645

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/STO-3G

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -1.265 0.355 0.000
C2 0.000 1.170 0.000
N3 1.169 0.541 0.000
C4 0.755 -0.937 0.000
C5 -0.780 -0.883 0.000
H6 -0.085 2.270 0.000
H7 1.171 -1.437 0.899
H8 1.171 -1.437 -0.899
H9 -1.434 -1.770 0.000

Atom - Atom Distances (Å)
  N1 C2 N3 C4 C5 H6 H7 H8 H9
N11.50452.44052.39771.33002.24883.15453.15452.1321
C21.50451.32682.23762.19631.10332.99552.99553.2714
N32.44051.32681.53462.41382.13542.17272.17273.4813
C42.39772.23761.53461.53613.31461.10951.10952.3430
C51.33002.19632.41381.53613.22872.21802.21801.1023
H62.24881.10332.13543.31463.22874.01554.01554.2593
H73.15452.99552.17271.10952.21804.01551.79782.7760
H83.15452.99552.17271.10952.21804.01551.79782.7760
H92.13213.27143.48132.34301.10234.25932.77602.7760

picture of 4H-Imidazole state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C2 N3 118.940 N1 C2 H6 118.345
N1 C5 C4 113.364 N1 C5 H9 122.193
C2 N1 C5 101.405 C2 N3 C4 102.647
N3 C2 H6 122.715 N3 C4 C5 103.643
N3 C4 H7 109.470 N3 C4 H8 109.470
C4 C5 H9 124.443 C5 C4 H7 112.949
C5 C4 H8 112.949 H7 C4 H8 108.234
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/STO-3G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.209      
2 C 0.065      
3 N -0.205      
4 C -0.096      
5 C 0.019      
6 H 0.103      
7 H 0.111      
8 H 0.111      
9 H 0.101      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.180 -1.789 0.000 1.798
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -32.541 -0.476 0.000
y -0.476 -23.267 0.000
z 0.000 0.000 -26.530
Traceless
 xyz
x -7.642 -0.476 0.000
y -0.476 6.269 0.000
z 0.000 0.000 1.374
Polar
3z2-r22.747
x2-y2-9.274
xy-0.476
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.568 -0.257 0.000
y -0.257 4.869 0.000
z 0.000 0.000 1.669


<r2> (average value of r2) Å2
<r2> 84.897
(<r2>)1/2 9.214