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

using model chemistry: BLYP/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 BLYP/3-21G
 hartrees
Energy at 0K-224.879094
Energy at 298.15K-224.885004
HF Energy-224.879094
Nuclear repulsion energy160.103232
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 BLYP/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' 3454 3435 23.52      
2 A' 3230 3212 2.51      
3 A' 3207 3189 1.35      
4 A' 3204 3186 5.12      
5 A' 1476 1468 16.76      
6 A' 1407 1400 5.24      
7 A' 1340 1333 8.34      
8 A' 1268 1261 6.84      
9 A' 1232 1225 4.05      
10 A' 1117 1111 2.02      
11 A' 1057 1052 22.02      
12 A' 1044 1038 11.31      
13 A' 1007 1002 15.09      
14 A' 927 922 2.47      
15 A' 882 877 12.09      
16 A" 858 853 4.29      
17 A" 792 787 35.10      
18 A" 727 723 28.90      
19 A" 661 658 1.69      
20 A" 632 628 19.44      
21 A" 586 583 124.19      

Unscaled Zero Point Vibrational Energy (zpe) 15054.0 cm-1
Scaled (by 0.9945) Zero Point Vibrational Energy (zpe) 14971.2 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 BLYP/3-21G
ABC
0.31163 0.30258 0.15352

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 1.127 0.000
C2 -1.119 0.289 0.000
C3 1.140 0.301 0.000
N4 -0.759 -1.005 0.000
C5 0.658 -0.998 0.000
H6 0.005 2.148 0.000
H7 -2.132 0.670 0.000
H8 2.145 0.703 0.000
H9 1.222 -1.922 0.000

Atom - Atom Distances (Å)
  N1 C2 C3 N4 C5 H6 H7 H8 H9
N11.39781.40742.26262.22401.02182.18072.18613.2844
C21.39782.25861.34272.19352.17271.08313.28963.2197
C31.40742.25862.30451.38532.16843.29301.08232.2244
N42.26261.34272.30451.41683.24452.16633.36862.1831
C52.22402.19351.38531.41683.21343.25092.25901.0828
H61.02182.17272.16843.24453.21342.59842.58254.2486
H72.18071.08313.29302.16633.25092.59844.27724.2395
H82.18613.28961.08233.36862.25902.58254.27722.7822
H93.28443.21972.22442.18311.08284.24864.23952.7822

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 111.292 N1 C2 H7 122.535
N1 C3 C5 105.562 N1 C3 H8 122.275
C2 N1 C3 107.245 C2 N1 H6 127.091
C2 N4 C5 105.256 C3 N1 H6 125.664
C3 C5 N4 110.644 C3 C5 H9 128.226
N4 C2 H7 126.174 N4 C5 H9 121.129
C5 C3 H8 132.163
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at BLYP/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.633      
2 C 0.255      
3 C 0.041      
4 N -0.463      
5 C -0.059      
6 H 0.305      
7 H 0.199      
8 H 0.183      
9 H 0.172      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.142 3.544 0.000 3.724
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -26.269 -3.137 0.000
y -3.137 -25.261 0.000
z 0.000 0.000 -31.663
Traceless
 xyz
x 2.194 -3.137 0.000
y -3.137 3.705 0.000
z 0.000 0.000 -5.899
Polar
3z2-r2-11.797
x2-y2-1.008
xy-3.137
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.853 -0.276 0.000
y -0.276 6.561 0.000
z 0.000 0.000 1.927


<r2> (average value of r2) Å2
<r2> 82.118
(<r2>)1/2 9.062