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

using model chemistry: B97D3/TZVP

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at B97D3/TZVP
 hartrees
Energy at 0K-226.118869
Energy at 298.15K-226.124701
HF Energy-226.118869
Nuclear repulsion energy160.097138
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 B97D3/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 A' 3153 3108 13.54      
2 A' 3133 3088 12.04      
3 A' 2988 2945 2.54      
4 A' 1589 1566 40.86      
5 A' 1488 1467 7.42      
6 A' 1365 1346 23.75      
7 A' 1289 1270 20.37      
8 A' 1273 1255 4.51      
9 A' 1226 1209 10.71      
10 A' 1002 987 58.03      
11 A' 956 942 7.19      
12 A' 914 901 6.43      
13 A' 864 851 11.99      
14 A' 855 843 4.21      
15 A" 3019 2976 1.46      
16 A" 1129 1112 0.19      
17 A" 971 957 14.81      
18 A" 927 914 0.34      
19 A" 728 717 7.35      
20 A" 555 547 19.75      
21 A" 355 350 7.31      

Unscaled Zero Point Vibrational Energy (zpe) 14889.2 cm-1
Scaled (by 0.9856) Zero Point Vibrational Energy (zpe) 14674.8 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 B97D3/TZVP
ABC
0.31832 0.29100 0.15644

See section I.F.4 to change rotational constant units
Geometric Data calculated at B97D3/TZVP

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -1.202 0.357 0.000
C2 0.000 1.141 0.000
N3 1.122 0.509 0.000
C4 0.733 -0.903 0.000
C5 -0.768 -0.861 0.000
H6 -0.077 2.225 0.000
H7 1.145 -1.416 0.881
H8 1.145 -1.416 -0.881
H9 -1.439 -1.718 0.000

Atom - Atom Distances (Å)
  N1 C2 N3 C4 C5 H6 H7 H8 H9
N11.43542.32932.30951.29322.18073.07053.07052.0882
C21.43541.28792.17112.14431.08682.93652.93653.2005
N32.32931.28791.46372.33412.09382.11652.11653.3935
C42.30952.17111.46371.50203.23091.09971.09972.3204
C51.29322.14432.33411.50203.16252.17792.17791.0882
H62.18071.08682.09383.23093.16253.94003.94004.1714
H73.07052.93652.11651.09972.17793.94001.76292.7468
H83.07052.93652.11651.09972.17793.94001.76292.7468
H92.08823.20053.39352.32041.08824.17142.74682.7468

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 117.490 N1 C2 H6 119.033
N1 C5 C4 111.206 N1 C5 H9 122.298
C2 N1 C5 103.479 C2 N3 C4 104.011
N3 C2 H6 123.478 N3 C4 C5 103.815
N3 C4 H7 110.514 N3 C4 H8 110.514
C4 C5 H9 126.496 C5 C4 H7 112.754
C5 C4 H8 112.754 H7 C4 H8 106.557
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B97D3/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.097      
2 C -0.097      
3 N -0.074      
4 C -0.225      
5 C -0.047      
6 H 0.115      
7 H 0.153      
8 H 0.153      
9 H 0.120      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.087 -2.120 0.000 2.122
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -35.565 -0.658 0.000
y -0.658 -24.117 0.000
z 0.000 0.000 -28.938
Traceless
 xyz
x -9.038 -0.658 0.000
y -0.658 8.135 0.000
z 0.000 0.000 0.903
Polar
3z2-r21.805
x2-y2-11.448
xy-0.658
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.261 -0.340 0.000
y -0.340 8.129 0.000
z 0.000 0.000 4.520


<r2> (average value of r2) Å2
<r2> 82.160
(<r2>)1/2 9.064