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

using model chemistry: PBEPBE/cc-pVDZ

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/cc-pVDZ
 hartrees
Energy at 0K-225.934072
Energy at 298.15K-225.939870
HF Energy-225.934072
Nuclear repulsion energy159.543032
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/cc-pVDZ
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 A' 3135 3117 12.44      
2 A' 3117 3099 8.72      
3 A' 2965 2948 0.72      
4 A' 1591 1581 36.58      
5 A' 1493 1485 7.60      
6 A' 1305 1298 26.11      
7 A' 1264 1257 22.06      
8 A' 1248 1240 3.27      
9 A' 1190 1183 7.31      
10 A' 1017 1011 38.84      
11 A' 979 973 22.06      
12 A' 921 916 3.72      
13 A' 858 853 7.74      
14 A' 855 850 10.77      
15 A" 3001 2983 0.22      
16 A" 1097 1090 0.35      
17 A" 948 943 10.93      
18 A" 911 906 1.79      
19 A" 710 706 6.72      
20 A" 549 546 16.08      
21 A" 350 348 8.92      

Unscaled Zero Point Vibrational Energy (zpe) 14751.4 cm-1
Scaled (by 0.9942) Zero Point Vibrational Energy (zpe) 14665.8 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 PBEPBE/cc-pVDZ
ABC
0.31766 0.28842 0.15559

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/cc-pVDZ

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -1.209 0.369 0.000
C2 0.000 1.137 0.000
N3 1.133 0.500 0.000
C4 0.730 -0.902 0.000
C5 -0.770 -0.858 0.000
H6 -0.065 2.236 0.000
H7 1.148 -1.431 0.887
H8 1.148 -1.431 -0.887
H9 -1.455 -1.722 0.000

Atom - Atom Distances (Å)
  N1 C2 N3 C4 C5 H6 H7 H8 H9
N11.43242.34562.31891.30342.18953.09553.09552.1052
C21.43241.29932.16602.13861.10102.94922.94923.2076
N32.34561.29931.45922.33802.10902.12532.12533.4107
C42.31892.16601.45921.50103.23751.11371.11372.3336
C51.30342.13862.33801.50103.17352.18932.18931.1020
H62.18951.10102.10903.23753.17353.96303.96304.1945
H73.09552.94922.12531.11372.18933.96301.77372.7648
H83.09552.94922.12531.11372.18933.96301.77372.7648
H92.10523.20763.41072.33361.10204.19452.76482.7648

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 118.247 N1 C2 H6 119.013
N1 C5 C4 111.368 N1 C5 H9 121.906
C2 N1 C5 102.731 C2 N3 C4 103.324
N3 C2 H6 122.741 N3 C4 C5 104.330
N3 C4 H7 110.664 N3 C4 H8 110.664
C4 C5 H9 126.726 C5 C4 H7 112.875
C5 C4 H8 112.875 H7 C4 H8 105.552
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.171      
2 C 0.121      
3 N -0.204      
4 C 0.043      
5 C 0.015      
6 H 0.023      
7 H 0.078      
8 H 0.078      
9 H 0.017      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.121 -1.954 0.000 1.958
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -34.242 -0.664 0.000
y -0.664 -24.200 0.000
z 0.000 0.000 -28.630
Traceless
 xyz
x -7.826 -0.664 0.000
y -0.664 7.236 0.000
z 0.000 0.000 0.590
Polar
3z2-r21.181
x2-y2-10.042
xy-0.664
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.448 -0.315 0.000
y -0.315 7.765 0.000
z 0.000 0.000 3.751


<r2> (average value of r2) Å2
<r2> 82.255
(<r2>)1/2 9.069