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

using model chemistry: PBEPBE/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 PBEPBE/aug-cc-pVTZ
 hartrees
Energy at 0K-226.000958
Energy at 298.15K-226.006778
HF Energy-226.000958
Nuclear repulsion energy160.264915
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/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' 3129 3109 9.69      
2 A' 3110 3090 8.27      
3 A' 2962 2942 1.54      
4 A' 1580 1569 42.48      
5 A' 1481 1471 7.49      
6 A' 1329 1321 28.41      
7 A' 1272 1264 23.31      
8 A' 1255 1247 4.31      
9 A' 1202 1194 6.32      
10 A' 1009 1002 48.72      
11 A' 970 964 16.71      
12 A' 920 914 4.45      
13 A' 855 850 8.19      
14 A' 853 848 6.76      
15 A" 2989 2970 0.02      
16 A" 1110 1103 0.42      
17 A" 957 951 14.56      
18 A" 923 917 1.87      
19 A" 715 711 6.67      
20 A" 551 547 18.74      
21 A" 355 353 6.80      

Unscaled Zero Point Vibrational Energy (zpe) 14763.3 cm-1
Scaled (by 0.9935) Zero Point Vibrational Energy (zpe) 14667.3 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/aug-cc-pVTZ
ABC
0.31897 0.29212 0.15692

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/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
N11.42832.32732.30631.29602.17973.07473.07472.0922
C21.42831.29132.16582.13811.09062.93872.93873.1969
N32.32731.29131.45712.32772.09712.11512.11513.3906
C42.30632.16581.45711.49563.22801.10401.10402.3190
C51.29602.13812.32771.49563.16242.17742.17741.0918
H62.17971.09062.09713.22803.16243.94393.94394.1739
H73.07472.93872.11511.10402.17743.94391.76202.7481
H83.07472.93872.11511.10402.17743.94391.76202.7481
H92.09223.19693.39062.31901.09184.17392.74812.7481

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 117.599 N1 C2 H6 119.240
N1 C5 C4 111.213 N1 C5 H9 122.147
C2 N1 C5 103.304 C2 N3 C4 103.837
N3 C2 H6 123.161 N3 C4 C5 104.047
N3 C4 H7 110.598 N3 C4 H8 110.598
C4 C5 H9 126.640 C5 C4 H7 112.908
C5 C4 H8 112.908 H7 C4 H8 105.883
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.362      
2 C -0.243      
3 N -0.448      
4 C 0.001      
5 C -0.373      
6 H 0.506      
7 H 0.213      
8 H 0.213      
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 -29.254
Traceless
 xyz
x -8.900 -0.670 0.000
y -0.670 8.131 0.000
z 0.000 0.000 0.769
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> 82.153
(<r2>)1/2 9.064