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

using model chemistry: B3LYP/aug-cc-pVQZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at B3LYP/aug-cc-pVQZ
 hartrees
Energy at 0K-226.291959
Energy at 298.15K-226.297894
HF Energy-226.291959
Nuclear repulsion energy161.128024
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 B3LYP/aug-cc-pVQZ
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' 3203 3104 9.86      
2 A' 3181 3082 8.10      
3 A' 3030 2936 2.44      
4 A' 1647 1596 50.69      
5 A' 1546 1498 11.31      
6 A' 1401 1358 22.66      
7 A' 1324 1282 26.78      
8 A' 1306 1265 5.04      
9 A' 1263 1224 6.21      
10 A' 1031 999 62.07      
11 A' 993 962 11.74      
12 A' 937 908 4.40      
13 A' 883 855 0.48      
14 A' 880 852 13.99      
15 A" 3057 2962 0.66      
16 A" 1162 1126 0.49      
17 A" 1007 976 14.03      
18 A" 970 940 1.13      
19 A" 754 731 5.58      
20 A" 570 553 21.75      
21 A" 376 364 5.79      

Unscaled Zero Point Vibrational Energy (zpe) 15259.6 cm-1
Scaled (by 0.9689) Zero Point Vibrational Energy (zpe) 14785.0 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 B3LYP/aug-cc-pVQZ
ABC
0.32150 0.29549 0.15846

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/aug-cc-pVQZ

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -1.192 0.354 0.000
C2 0.000 1.136 0.000
N3 1.111 0.505 0.000
C4 0.731 -0.899 0.000
C5 -0.764 -0.854 0.000
H6 -0.075 2.214 0.000
H7 1.140 -1.410 0.877
H8 1.140 -1.410 -0.877
H9 -1.431 -1.707 0.000

Atom - Atom Distances (Å)
  N1 C2 N3 C4 C5 H6 H7 H8 H9
N11.42592.30802.29591.28252.16973.05323.05322.0749
C21.42591.27732.16272.13241.08092.92442.92443.1829
N32.30801.27731.45492.31612.08042.10682.10683.3697
C42.29592.16271.45491.49603.21641.09401.09402.3083
C51.28252.13242.31611.49603.14532.16862.16861.0823
H62.16971.08092.08043.21643.14533.92223.92224.1490
H73.05322.92442.10681.09402.16863.92221.75322.7327
H83.05322.92442.10681.09402.16863.92221.75322.7327
H92.07493.18293.36972.30831.08234.14902.73272.7327

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 117.152 N1 C2 H6 119.248
N1 C5 C4 111.216 N1 C5 H9 122.439
C2 N1 C5 103.745 C2 N3 C4 104.475
N3 C2 H6 123.600 N3 C4 C5 103.413
N3 C4 H7 110.701 N3 C4 H8 110.701
C4 C5 H9 126.345 C5 C4 H7 112.797
C5 C4 H8 112.797 H7 C4 H8 106.514
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/aug-cc-pVQZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.537      
2 C -0.157      
3 N -0.505      
4 C -0.292      
5 C -0.259      
6 H 0.606      
7 H 0.286      
8 H 0.286      
9 H 0.572      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.030 -2.106 0.000 2.106
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -35.826 -0.659 0.000
y -0.659 -24.241 0.000
z 0.000 0.000 -29.202
Traceless
 xyz
x -9.104 -0.659 0.000
y -0.659 8.273 0.000
z 0.000 0.000 0.831
Polar
3z2-r21.661
x2-y2-11.585
xy-0.659
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.699 -0.280 0.000
y -0.280 8.270 0.000
z 0.000 0.000 5.023


<r2> (average value of r2) Å2
<r2> 81.513
(<r2>)1/2 9.028