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

using model chemistry: BLYP/aug-cc-pVTZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at BLYP/aug-cc-pVTZ
 hartrees
Energy at 0K-226.200601
Energy at 298.15K-226.206419
HF Energy-226.200601
Nuclear repulsion energy159.624037
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 BLYP/aug-cc-pVTZ
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' 3126 3115 10.69      
2 A' 3102 3092 9.51      
3 A' 2956 2945 2.37      
4 A' 1563 1558 43.08      
5 A' 1464 1459 7.48      
6 A' 1357 1353 22.85      
7 A' 1274 1270 19.86      
8 A' 1258 1254 4.63      
9 A' 1212 1208 7.26      
10 A' 979 975 58.58      
11 A' 937 934 5.07      
12 A' 900 897 5.40      
13 A' 847 844 10.64      
14 A' 840 838 4.96      
15 A" 2977 2967 0.72      
16 A" 1121 1117 0.46      
17 A" 965 962 15.07      
18 A" 926 923 0.84      
19 A" 726 723 6.70      
20 A" 551 549 19.13      
21 A" 366 365 5.89      

Unscaled Zero Point Vibrational Energy (zpe) 14723.3 cm-1
Scaled (by 0.9966) Zero Point Vibrational Energy (zpe) 14673.2 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 BLYP/aug-cc-pVTZ
ABC
0.31586 0.28969 0.15547

See section I.F.4 to change rotational constant units
Geometric Data calculated at BLYP/aug-cc-pVTZ

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -1.205 0.358 0.000
C2 0.000 1.146 0.000
N3 1.124 0.511 0.000
C4 0.735 -0.908 0.000
C5 -0.770 -0.863 0.000
H6 -0.077 2.231 0.000
H7 1.150 -1.421 0.882
H8 1.150 -1.421 -0.882
H9 -1.443 -1.719 0.000

Atom - Atom Distances (Å)
  N1 C2 N3 C4 C5 H6 H7 H8 H9
N11.43992.33442.31711.29652.18643.08073.08072.0911
C21.43991.29122.18182.15161.08752.94752.94753.2081
N32.33441.29121.47132.33992.09772.12312.12313.4003
C42.31712.18181.47131.50583.24231.10101.10102.3240
C51.29652.15162.33991.50583.17062.18552.18551.0889
H62.18641.08752.09773.24233.17063.95153.95154.1797
H73.08072.94752.12311.10102.18553.95151.76342.7553
H83.08072.94752.12311.10102.18553.95151.76342.7553
H92.09113.20813.40032.32401.08894.17972.75532.7553

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 117.358 N1 C2 H6 119.126
N1 C5 C4 111.331 N1 C5 H9 122.232
C2 N1 C5 103.556 C2 N3 C4 104.140
N3 C2 H6 123.516 N3 C4 C5 103.616
N3 C4 H7 110.422 N3 C4 H8 110.422
C4 C5 H9 126.437 C5 C4 H7 113.018
C5 C4 H8 113.018 H7 C4 H8 106.408
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at BLYP/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.361      
2 C -0.243      
3 N -0.453      
4 C 0.044      
5 C -0.367      
6 H 0.499      
7 H 0.195      
8 H 0.195      
9 H 0.491      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.076 -2.081 0.000 2.082
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -36.139 -0.672 0.000
y -0.672 -24.644 0.000
z 0.000 0.000 -29.453
Traceless
 xyz
x -9.091 -0.672 0.000
y -0.672 8.152 0.000
z 0.000 0.000 0.938
Polar
3z2-r21.877
x2-y2-11.495
xy-0.672
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.192 -0.258 0.000
y -0.258 8.694 0.000
z 0.000 0.000 5.224


<r2> (average value of r2) Å2
<r2> 82.881
(<r2>)1/2 9.104