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

using model chemistry: PBEPBEultrafine/TZVP

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/TZVP
 hartrees
Energy at 0K-225.992350
Energy at 298.15K-225.998166
HF Energy-225.992350
Nuclear repulsion energy160.118010
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/TZVP
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' 3138 3102 10.17      
2 A' 3117 3082 7.93      
3 A' 2971 2937 0.91      
4 A' 1585 1567 38.53      
5 A' 1485 1468 7.07      
6 A' 1336 1321 29.58      
7 A' 1280 1265 21.14      
8 A' 1262 1248 4.73      
9 A' 1211 1197 10.14      
10 A' 1006 994 51.60      
11 A' 968 957 14.48      
12 A' 920 910 4.35      
13 A' 859 849 5.91      
14 A' 857 847 8.71      
15 A" 3001 2967 0.10      
16 A" 1111 1098 0.15      
17 A" 960 949 15.31      
18 A" 921 911 0.72      
19 A" 719 711 7.80      
20 A" 553 546 19.16      
21 A" 352 348 8.29      

Unscaled Zero Point Vibrational Energy (zpe) 14805.1 cm-1
Scaled (by 0.9886) Zero Point Vibrational Energy (zpe) 14636.3 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 PBEPBEultrafine/TZVP
ABC
0.31880 0.29114 0.15661

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBEultrafine/TZVP

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -1.202 0.363 0.000
C2 0.000 1.138 0.000
N3 1.125 0.503 0.000
C4 0.730 -0.902 0.000
C5 -0.768 -0.858 0.000
H6 -0.070 2.227 0.000
H7 1.144 -1.421 0.882
H8 1.144 -1.421 -0.882
H9 -1.445 -1.715 0.000

Atom - Atom Distances (Å)
  N1 C2 N3 C4 C5 H6 H7 H8 H9
N11.43032.33132.30911.29632.18083.07683.07682.0927
C21.43031.29152.16622.13881.09132.93882.93883.1986
N32.33131.29151.45932.33152.09742.11722.11723.3953
C42.30912.16621.45931.49813.22921.10451.10452.3223
C51.29632.13882.33151.49813.16322.17952.17951.0926
H62.18081.09132.09743.22923.16323.94493.94494.1754
H73.07682.93882.11721.10452.17953.94491.76442.7512
H83.07682.93882.11721.10452.17953.94491.76442.7512
H92.09273.19863.39532.32231.09264.17542.75122.7512

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 117.759 N1 C2 H6 119.118
N1 C5 C4 111.236 N1 C5 H9 122.097
C2 N1 C5 103.223 C2 N3 C4 103.728
N3 C2 H6 123.122 N3 C4 C5 104.053
N3 C4 H7 110.572 N3 C4 H8 110.572
C4 C5 H9 126.667 C5 C4 H7 112.861
C5 C4 H8 112.861 H7 C4 H8 106.017
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.070      
2 C -0.141      
3 N -0.041      
4 C -0.287      
5 C -0.067      
6 H 0.130      
7 H 0.170      
8 H 0.170      
9 H 0.136      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.117 -2.150 0.000 2.153
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -35.639 -0.681 0.000
y -0.681 -24.265 0.000
z 0.000 0.000 -29.124
Traceless
 xyz
x -8.944 -0.681 0.000
y -0.681 8.116 0.000
z 0.000 0.000 0.828
Polar
3z2-r21.656
x2-y2-11.374
xy-0.681
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.314 -0.341 0.000
y -0.341 8.186 0.000
z 0.000 0.000 4.541


<r2> (average value of r2) Å2
<r2> 82.214
(<r2>)1/2 9.067