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

using model chemistry: PBEPBEultrafine/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 PBEPBEultrafine/aug-cc-pVTZ
 hartrees
Energy at 0K-226.000956
Energy at 298.15K-226.006777
HF Energy-226.000956
Nuclear repulsion energy160.267793
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 PBEPBEultrafine/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' 3128 3093 9.68      
2 A' 3109 3074 8.24      
3 A' 2962 2929 1.54      
4 A' 1580 1562 42.44      
5 A' 1481 1464 7.51      
6 A' 1330 1315 28.43      
7 A' 1272 1258 23.64      
8 A' 1255 1241 4.03      
9 A' 1202 1189 6.28      
10 A' 1009 998 48.06      
11 A' 970 959 17.35      
12 A' 920 910 4.46      
13 A' 855 846 6.31      
14 A' 853 844 8.64      
15 A" 2990 2956 0.02      
16 A" 1110 1097 0.41      
17 A" 957 946 14.54      
18 A" 922 912 1.88      
19 A" 715 707 6.69      
20 A" 551 545 18.71      
21 A" 356 352 6.81      

Unscaled Zero Point Vibrational Energy (zpe) 14763.2 cm-1
Scaled (by 0.9888) Zero Point Vibrational Energy (zpe) 14597.8 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 PBEPBEultrafine/aug-cc-pVTZ
ABC
0.31896 0.29215 0.15692

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -1.200 0.364 0.000
C2 0.000 1.138 0.000
N3 1.123 0.501 0.000
C4 0.728 -0.902 0.000
C5 -0.767 -0.857 0.000
H6 -0.068 2.227 0.000
H7 1.143 -1.422 0.881
H8 1.143 -1.422 -0.881
H9 -1.444 -1.714 0.000

Atom - Atom Distances (Å)
  N1 C2 N3 C4 C5 H6 H7 H8 H9
N11.42822.32722.30631.29602.17973.07463.07462.0921
C21.42821.29132.16582.13811.09062.93872.93873.1969
N32.32721.29131.45712.32762.09702.11512.11513.3906
C42.30632.16581.45711.49553.22801.10401.10402.3190
C51.29602.13812.32761.49553.16242.17742.17741.0918
H62.17971.09062.09703.22803.16243.94393.94394.1739
H73.07462.93872.11511.10402.17743.94391.76202.7482
H83.07462.93872.11511.10402.17743.94391.76202.7482
H92.09213.19693.39062.31901.09184.17392.74822.7482

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 117.596 N1 C2 H6 119.244
N1 C5 C4 111.213 N1 C5 H9 122.138
C2 N1 C5 103.306 C2 N3 C4 103.838
N3 C2 H6 123.160 N3 C4 C5 104.047
N3 C4 H7 110.593 N3 C4 H8 110.593
C4 C5 H9 126.649 C5 C4 H7 112.913
C5 C4 H8 112.913 H7 C4 H8 105.882
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.363      
2 C -0.243      
3 N -0.449      
4 C 0.001      
5 C -0.372      
6 H 0.506      
7 H 0.214      
8 H 0.214      
9 H 0.492      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.092 -2.099 0.000 2.101
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -35.700 -0.670 0.000
y -0.670 -24.346 0.000
z 0.000 0.000 -29.253
Traceless
 xyz
x -8.900 -0.670 0.000
y -0.670 8.131 0.000
z 0.000 0.000 0.770
Polar
3z2-r21.539
x2-y2-11.354
xy-0.670
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.114 -0.257 0.000
y -0.257 8.623 0.000
z 0.000 0.000 5.166


<r2> (average value of r2) Å2
<r2> 82.150
(<r2>)1/2 9.064