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

using model chemistry: PBEPBE/6-311G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at PBEPBE/6-311G*
 hartrees
Energy at 0K-225.968167
Energy at 298.15K-225.973977
HF Energy-225.968167
Nuclear repulsion energy159.987132
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 PBEPBE/6-311G*
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' 3136 3103 17.05      
2 A' 3115 3082 14.13      
3 A' 2971 2940 1.74      
4 A' 1591 1575 39.58      
5 A' 1492 1477 6.73      
6 A' 1356 1342 28.62      
7 A' 1279 1266 20.96      
8 A' 1263 1250 4.46      
9 A' 1213 1201 8.78      
10 A' 1010 999 50.47      
11 A' 976 965 15.56      
12 A' 920 911 4.63      
13 A' 860 851 6.74      
14 A' 856 848 10.08      
15 A" 3001 2969 1.43      
16 A" 1125 1113 0.33      
17 A" 957 947 14.39      
18 A" 916 906 0.48      
19 A" 718 711 9.18      
20 A" 552 546 18.35      
21 A" 357 353 8.63      

Unscaled Zero Point Vibrational Energy (zpe) 14831.2 cm-1
Scaled (by 0.9896) Zero Point Vibrational Energy (zpe) 14676.9 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 PBEPBE/6-311G*
ABC
0.31918 0.28988 0.15634

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/6-311G*

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -1.206 0.364 0.000
C2 0.000 1.136 0.000
N3 1.127 0.503 0.000
C4 0.731 -0.902 0.000
C5 -0.769 -0.858 0.000
H6 -0.069 2.226 0.000
H7 1.148 -1.421 0.882
H8 1.148 -1.421 -0.882
H9 -1.451 -1.714 0.000

Atom - Atom Distances (Å)
  N1 C2 N3 C4 C5 H6 H7 H8 H9
N11.43132.33722.31341.29742.18163.08313.08312.0922
C21.43131.29282.16432.13631.09312.93792.93793.1973
N32.33721.29281.45942.33392.09842.11642.11643.4001
C42.31342.16431.45941.50043.22881.10571.10572.3279
C51.29742.13632.33391.50043.16232.18452.18451.0945
H62.18161.09312.09843.22883.16233.94503.94504.1753
H73.08312.93792.11641.10572.18453.94501.76502.7605
H83.08312.93792.11641.10572.18453.94501.76502.7605
H92.09223.19733.40012.32791.09454.17532.76052.7605

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 118.088 N1 C2 H6 118.969
N1 C5 C4 111.352 N1 C5 H9 121.795
C2 N1 C5 102.944 C2 N3 C4 103.531
N3 C2 H6 122.942 N3 C4 C5 104.085
N3 C4 H7 110.433 N3 C4 H8 110.433
C4 C5 H9 126.853 C5 C4 H7 113.034
C5 C4 H8 113.034 H7 C4 H8 105.908
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.238      
2 C 0.003      
3 N -0.226      
4 C -0.415      
5 C -0.059      
6 H 0.215      
7 H 0.256      
8 H 0.256      
9 H 0.208      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.092 -2.057 0.000 2.059
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -34.977 -0.628 0.000
y -0.628 -24.101 0.000
z 0.000 0.000 -28.939
Traceless
 xyz
x -8.456 -0.628 0.000
y -0.628 7.857 0.000
z 0.000 0.000 0.600
Polar
3z2-r21.199
x2-y2-10.876
xy-0.628
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.654 -0.342 0.000
y -0.342 7.758 0.000
z 0.000 0.000 3.915


<r2> (average value of r2) Å2
<r2> 82.109
(<r2>)1/2 9.061