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

using model chemistry: LSDA/6-31G(2df,p)

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at LSDA/6-31G(2df,p)
 hartrees
Energy at 0K-224.993042
Energy at 298.15K-224.998970
HF Energy-224.993042
Nuclear repulsion energy163.912213
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 LSDA/6-31G(2df,p)
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' 3583 3526 50.82      
2 A' 3221 3170 0.21      
3 A' 3189 3138 0.82      
4 A' 3184 3133 3.03      
5 A' 1531 1506 14.38      
6 A' 1493 1469 13.09      
7 A' 1431 1408 8.50      
8 A' 1375 1353 9.41      
9 A' 1239 1219 2.03      
10 A' 1201 1182 2.55      
11 A' 1122 1104 2.55      
12 A' 1084 1066 32.15      
13 A' 1059 1042 18.61      
14 A' 924 909 1.77      
15 A' 879 865 11.14      
16 A" 828 815 6.14      
17 A" 770 758 28.20      
18 A" 699 688 19.43      
19 A" 680 669 1.64      
20 A" 643 633 16.12      
21 A" 561 552 80.85      

Unscaled Zero Point Vibrational Energy (zpe) 15347.8 cm-1
Scaled (by 0.984) Zero Point Vibrational Energy (zpe) 15102.3 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 LSDA/6-31G(2df,p)
ABC
0.32920 0.31601 0.16123

See section I.F.4 to change rotational constant units
Geometric Data calculated at LSDA/6-31G(2df,p)

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 1.095 0.000
C2 -1.084 0.282 0.000
C3 1.111 0.302 0.000
N4 -0.734 -0.982 0.000
C5 0.629 -0.981 0.000
H6 -0.007 2.111 0.000
H7 -2.103 0.667 0.000
H8 2.115 0.717 0.000
H9 1.199 -1.908 0.000

Atom - Atom Distances (Å)
  N1 C2 C3 N4 C5 H6 H7 H8 H9
N11.35541.36522.20282.16911.01532.14592.14863.2340
C21.35542.19501.31092.12752.12261.08933.22843.1637
C31.36522.19502.24731.37022.12623.23431.08642.2117
N42.20281.31092.24731.36243.17662.14323.31662.1437
C52.16912.12751.37021.36243.15593.19002.25611.0890
H61.01532.12262.12623.17663.15592.54482.53874.1958
H72.14591.08933.23432.14323.19002.54484.21804.1877
H82.14863.22841.08643.31662.25612.53874.21802.7798
H93.23403.16372.21172.14371.08904.19584.18772.7798

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 111.398 N1 C2 H7 122.370
N1 C3 C5 104.929 N1 C3 H8 122.022
C2 N1 C3 107.570 C2 N1 H6 126.511
C2 N4 C5 105.452 C3 N1 H6 125.919
C3 C5 N4 110.651 C3 C5 H9 127.781
N4 C2 H7 126.231 N4 C5 H9 121.568
C5 C3 H8 133.049
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at LSDA/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.189      
2 C -0.075      
3 C -0.157      
4 N -0.182      
5 C -0.134      
6 H 0.292      
7 H 0.155      
8 H 0.155      
9 H 0.136      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.074 3.494 0.000 3.655
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -26.223 -2.941 0.000
y -2.941 -24.868 0.000
z 0.000 0.000 -30.903
Traceless
 xyz
x 1.663 -2.941 0.000
y -2.941 3.695 0.000
z 0.000 0.000 -5.358
Polar
3z2-r2-10.716
x2-y2-1.354
xy-2.941
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.467 -0.233 0.000
y -0.233 7.100 0.000
z 0.000 0.000 3.128


<r2> (average value of r2) Å2
<r2> 78.990
(<r2>)1/2 8.888