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All results from a given calculation for C3H4N2 (1H-Imidazole)

using model chemistry: PBEPBE/3-21G

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/3-21G
 hartrees
Energy at 0K-224.690307
Energy at 298.15K-224.696261
HF Energy-224.690307
Nuclear repulsion energy160.537316
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/3-21G
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' 3488 3456 32.65      
2 A' 3245 3215 1.24      
3 A' 3222 3192 0.74      
4 A' 3218 3188 3.30      
5 A' 1482 1469 18.26      
6 A' 1416 1403 5.55      
7 A' 1349 1336 8.28      
8 A' 1282 1271 9.38      
9 A' 1238 1227 1.13      
10 A' 1122 1112 1.04      
11 A' 1088 1079 17.49      
12 A' 1062 1052 15.84      
13 A' 1023 1014 18.42      
14 A' 931 923 3.25      
15 A' 884 876 11.15      
16 A" 866 858 5.10      
17 A" 799 792 36.20      
18 A" 733 726 33.20      
19 A" 666 660 1.00      
20 A" 639 633 44.49      
21 A" 611 605 113.63      

Unscaled Zero Point Vibrational Energy (zpe) 15181.2 cm-1
Scaled (by 0.9909) Zero Point Vibrational Energy (zpe) 15043.0 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 PBEPBE/3-21G
ABC
0.31380 0.30398 0.15441

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/3-21G

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 1.122 0.000
C2 -1.114 0.289 0.000
C3 1.136 0.302 0.000
N4 -0.756 -1.004 0.000
C5 0.654 -0.996 0.000
H6 0.004 2.144 0.000
H7 -2.130 0.670 0.000
H8 2.142 0.705 0.000
H9 1.221 -1.920 0.000

Atom - Atom Distances (Å)
  N1 C2 C3 N4 C5 H6 H7 H8 H9
N11.39081.40062.25582.21661.02172.17692.18253.2780
C21.39082.25001.34142.18562.16541.08463.28273.2146
C31.40062.25002.29881.38522.16113.28601.08392.2245
N42.25581.34142.29881.40963.23752.16513.36422.1789
C52.21662.18561.38521.40963.20613.24392.26041.0844
H61.02172.16542.16113.23753.20612.59312.57704.2421
H72.17691.08463.28602.16513.24392.59314.27194.2349
H82.18253.28271.08393.36422.26042.57704.27192.7824
H93.27803.21462.22452.17891.08444.24214.23492.7824

picture of 1H-Imidazole state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C2 N4 111.290 N1 C2 H7 122.663
N1 C3 C5 105.436 N1 C3 H8 122.398
C2 N1 C3 107.418 C2 N1 H6 127.013
C2 N4 C5 105.186 C3 N1 H6 125.569
C3 C5 N4 110.671 C3 C5 H9 128.103
N4 C2 H7 126.047 N4 C5 H9 121.226
C5 C3 H8 132.166
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.669      
2 C 0.238      
3 C 0.016      
4 N -0.474      
5 C -0.091      
6 H 0.328      
7 H 0.230      
8 H 0.216      
9 H 0.205      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.161 3.621 0.000 3.802
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -26.048 -3.216 0.000
y -3.216 -25.044 0.000
z 0.000 0.000 -31.886
Traceless
 xyz
x 2.417 -3.216 0.000
y -3.216 3.923 0.000
z 0.000 0.000 -6.340
Polar
3z2-r2-12.680
x2-y2-1.003
xy-3.216
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.821 -0.264 0.000
y -0.264 6.506 0.000
z 0.000 0.000 1.951


<r2> (average value of r2) Å2
<r2> 81.733
(<r2>)1/2 9.041