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

using model chemistry: B97D3/6-311+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 B97D3/6-311+G(3df,2p)
 hartrees
Energy at 0K-226.149890
Energy at 298.15K-226.155777
HF Energy-226.149890
Nuclear repulsion energy162.775007
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 B97D3/6-311+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' 3594 3547 34.71      
2 A' 3217 3175 3.03      
3 A' 3190 3149 1.00      
4 A' 3186 3144 6.34      
5 A' 1511 1492 8.87      
6 A' 1460 1441 17.32      
7 A' 1388 1370 13.77      
8 A' 1325 1308 4.94      
9 A' 1254 1237 0.17      
10 A' 1143 1128 5.57      
11 A' 1119 1105 3.48      
12 A' 1068 1055 14.86      
13 A' 1051 1038 34.65      
14 A' 930 918 1.77      
15 A' 892 880 8.65      
16 A" 837 826 5.71      
17 A" 776 765 42.33      
18 A" 701 691 33.70      
19 A" 666 658 3.96      
20 A" 630 622 9.95      
21 A" 513 506 83.02      

Unscaled Zero Point Vibrational Energy (zpe) 15224.3 cm-1
Scaled (by 0.987) Zero Point Vibrational Energy (zpe) 15026.4 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 B97D3/6-311+G(3df,2p)
ABC
0.32309 0.31238 0.15882

See section I.F.4 to change rotational constant units
Geometric Data calculated at B97D3/6-311+G(3df,2p)

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -0.742 -0.986 0.000
H2 -0.005 2.114 0.000
C3 1.122 0.300 0.000
H4 2.121 0.709 0.000
C5 0.638 -0.988 0.000
H6 1.201 -1.910 0.000
H7 -2.107 0.666 0.000
C8 -1.096 0.284 0.000
N9 0.000 1.106 0.000

Atom - Atom Distances (Å)
  N1 H2 C3 H4 C5 H6 H7 C8 N9
N13.18662.26463.32701.38032.15182.14311.31842.2195
H23.18662.13642.54873.16794.20162.55252.13021.0085
C32.26462.13641.07921.37522.21153.25022.21781.3818
H43.32702.54871.07922.25312.77614.22833.24432.1577
C51.38033.16791.37522.25311.08103.20502.15012.1885
H62.15184.20162.21152.77611.08104.19323.17663.2466
H72.14312.55253.25024.22833.20504.19321.08142.1526
C81.31842.13022.21783.24432.15013.17661.08141.3693
N92.21951.00851.38182.15772.18853.24662.15261.3693

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 69.903 N1 C2 H7 42.065
N1 C3 C5 34.802 N1 C3 H8 34.191
C2 N1 C3 42.042 C2 N1 H6 102.076
C2 N4 C5 82.311 C3 N1 H6 60.033
C3 C5 N4 20.545 C3 C5 H9 37.563
N4 C2 H7 111.968 N4 C5 H9 58.108
C5 C3 H8 68.993
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B97D3/6-311+G(3df,2p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.842      
2 H 0.146      
3 C 0.141      
4 H 0.148      
5 C 0.188      
6 H 0.137      
7 H 0.144      
8 C 0.623      
9 N -0.685      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.124 3.488 0.000 3.664
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -27.043 -3.321 0.000
y -3.321 -26.047 0.000
z 0.000 0.000 -31.989
Traceless
 xyz
x 1.975 -3.321 0.000
y -3.321 3.469 0.000
z 0.000 0.000 -5.443
Polar
3z2-r2-10.887
x2-y2-0.996
xy-3.321
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.803 -0.032 0.000
y -0.032 8.403 0.000
z 0.000 0.000 5.128


<r2> (average value of r2) Å2
<r2> 80.456
(<r2>)1/2 8.970