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

using model chemistry: B3LYPultrafine/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 B3LYPultrafine/3-21G
 hartrees
Energy at 0K-224.959336
Energy at 298.15K-224.965409
HF Energy-224.959336
Nuclear repulsion energy161.598601
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 B3LYPultrafine/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' 3587 3461 48.80      
2 A' 3318 3201 1.30      
3 A' 3293 3177 0.21      
4 A' 3291 3175 4.03      
5 A' 1535 1481 19.85      
6 A' 1465 1413 6.36      
7 A' 1395 1346 11.09      
8 A' 1324 1278 10.30      
9 A' 1281 1237 1.85      
10 A' 1157 1116 1.34      
11 A' 1102 1063 19.51      
12 A' 1087 1049 12.45      
13 A' 1051 1014 23.91      
14 A' 963 929 2.72      
15 A' 920 888 11.28      
16 A" 916 884 2.42      
17 A" 850 821 24.45      
18 A" 776 749 34.22      
19 A" 686 662 4.10      
20 A" 658 634 47.43      
21 A" 635 613 122.51      

Unscaled Zero Point Vibrational Energy (zpe) 15644.7 cm-1
Scaled (by 0.9649) Zero Point Vibrational Energy (zpe) 15095.5 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 B3LYPultrafine/3-21G
ABC
0.31677 0.30902 0.15642

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYPultrafine/3-21G

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 1.116 0.000
C2 -1.109 0.287 0.000
C3 1.129 0.297 0.000
N4 -0.751 -0.992 0.000
C5 0.652 -0.991 0.000
H6 0.002 2.128 0.000
H7 -2.116 0.665 0.000
H8 2.129 0.692 0.000
H9 1.212 -1.909 0.000

Atom - Atom Distances (Å)
  N1 C2 C3 N4 C5 H6 H7 H8 H9
N11.38421.39482.23742.20551.01232.16382.17083.2587
C21.38422.23811.32802.17562.14991.07583.26313.1950
C31.39482.23812.27981.37412.15043.26621.07492.2080
N42.23741.32802.27981.40273.20942.14643.33632.1666
C52.20552.17561.37411.40273.18643.22532.23971.0753
H61.01232.14992.15043.20943.18642.57432.56684.2148
H72.16381.07583.26622.14643.22532.57434.24544.2070
H82.17083.26311.07493.33632.23972.56684.24542.7583
H93.25873.19502.20802.16661.07534.21484.20702.7583

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 111.151 N1 C2 H7 122.688
N1 C3 C5 105.597 N1 C3 H8 122.511
C2 N1 C3 107.287 C2 N1 H6 126.861
C2 N4 C5 105.601 C3 N1 H6 125.851
C3 C5 N4 110.364 C3 C5 H9 128.276
N4 C2 H7 126.161 N4 C5 H9 121.360
C5 C3 H8 131.892
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYPultrafine/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.699      
2 C 0.280      
3 C 0.038      
4 N -0.502      
5 C -0.068      
6 H 0.326      
7 H 0.221      
8 H 0.208      
9 H 0.195      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.197 3.640 0.000 3.831
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -26.093 -3.295 0.000
y -3.295 -25.265 0.000
z 0.000 0.000 -31.699
Traceless
 xyz
x 2.389 -3.295 0.000
y -3.295 3.631 0.000
z 0.000 0.000 -6.019
Polar
3z2-r2-12.039
x2-y2-0.828
xy-3.295
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.586 -0.277 0.000
y -0.277 6.306 0.000
z 0.000 0.000 1.900


<r2> (average value of r2) Å2
<r2> 80.912
(<r2>)1/2 8.995