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

using model chemistry: HF/6-311+G(3df,2p)

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at HF/6-311+G(3df,2p)
 hartrees
Energy at 0K-224.895425
Energy at 298.15K-224.901655
Nuclear repulsion energy165.343390
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 HF/6-311+G(3df,2p)
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' 3917 3559 95.21      
2 A' 3427 3114 1.84      
3 A' 3398 3087 3.18      
4 A' 3392 3082 4.41      
5 A' 1721 1564 22.53      
6 A' 1644 1494 24.20      
7 A' 1567 1423 24.08      
8 A' 1483 1348 9.37      
9 A' 1405 1277 0.71      
10 A' 1246 1132 5.92      
11 A' 1220 1108 4.31      
12 A' 1176 1068 12.77      
13 A' 1146 1041 56.27      
14 A' 1019 926 1.31      
15 A' 981 891 6.63      
16 A" 1010 918 0.00      
17 A" 980 890 20.55      
18 A" 840 763 62.40      
19 A" 729 662 12.55      
20 A" 690 627 5.06      
21 A" 546 496 115.77      

Unscaled Zero Point Vibrational Energy (zpe) 16768.3 cm-1
Scaled (by 0.9086) Zero Point Vibrational Energy (zpe) 15235.7 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 HF/6-311+G(3df,2p)
ABC
0.33210 0.32345 0.16386

See section I.F.4 to change rotational constant units
Geometric Data calculated at HF/6-311+G(3df,2p)

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -0.740 -0.962 0.000
H2 -0.014 2.082 0.000
C3 1.107 0.287 0.000
H4 2.100 0.676 0.000
C5 0.630 -0.973 0.000
H6 1.182 -1.887 0.000
H7 -2.074 0.656 0.000
C8 -1.072 0.280 0.000
N9 0.000 1.092 0.000

Atom - Atom Distances (Å)
  N1 H2 C3 H4 C5 H6 H7 C8 N9
N13.12962.22983.27871.36972.13302.09681.28562.1838
H23.12962.11622.53873.12194.14492.50532.09020.9896
C32.22982.11621.06651.34732.17493.20202.17951.3692
H43.27872.53871.06652.20932.72214.17373.19712.1411
C51.36973.12191.34732.20931.06783.15602.11332.1593
H62.13304.14492.17492.72211.06784.13093.12673.2052
H72.09682.50533.20204.17373.15604.13091.06952.1189
C81.28562.09022.17953.19712.11333.12671.06951.3455
N92.18380.98961.36922.14112.15933.20522.11891.3455

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 69.792 N1 C2 H7 41.886
N1 C3 C5 35.176 N1 C3 H8 33.878
C2 N1 C3 42.512 C2 N1 H6 102.265
C2 N4 C5 81.903 C3 N1 H6 59.753
C3 C5 N4 20.970 C3 C5 H9 37.712
N4 C2 H7 111.677 N4 C5 H9 58.682
C5 C3 H8 69.054
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HF/6-311+G(3df,2p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -1.101      
2 H 0.154      
3 C 0.213      
4 H 0.168      
5 C 0.273      
6 H 0.157      
7 H 0.162      
8 C 0.936      
9 N -0.963      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.078 3.648 0.000 3.804
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -26.738 -3.533 0.000
y -3.533 -25.939 0.000
z 0.000 0.000 -32.405
Traceless
 xyz
x 2.434 -3.533 0.000
y -3.533 3.633 0.000
z 0.000 0.000 -6.067
Polar
3z2-r2-12.134
x2-y2-0.800
xy-3.533
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.727 -0.063 0.000
y -0.063 7.531 0.000
z 0.000 0.000 4.816


<r2> (average value of r2) Å2
<r2> 0.000
(<r2>)1/2 0.000