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All results from a given calculation for C3H4N2 (4H-Imidazole)

using model chemistry: B3LYP/cc-pVDZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at B3LYP/cc-pVDZ
 hartrees
Energy at 0K-226.204475
Energy at 298.15K-226.210385
HF Energy-226.204475
Nuclear repulsion energy160.246836
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 B3LYP/cc-pVDZ
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' 3205 3108 12.89      
2 A' 3184 3088 8.78      
3 A' 3031 2940 1.67      
4 A' 1656 1606 43.00      
5 A' 1557 1510 11.13      
6 A' 1371 1330 21.14      
7 A' 1308 1269 24.98      
8 A' 1293 1254 3.81      
9 A' 1243 1206 6.93      
10 A' 1036 1005 51.35      
11 A' 998 968 16.37      
12 A' 938 910 3.74      
13 A' 883 857 2.00      
14 A' 880 854 16.10      
15 A" 3065 2973 1.52      
16 A" 1144 1110 0.40      
17 A" 993 963 10.81      
18 A" 955 926 1.29      
19 A" 746 723 5.40      
20 A" 567 550 18.72      
21 A" 368 357 7.43      

Unscaled Zero Point Vibrational Energy (zpe) 15209.7 cm-1
Scaled (by 0.97) Zero Point Vibrational Energy (zpe) 14753.4 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 B3LYP/cc-pVDZ
ABC
0.31940 0.29138 0.15684

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/cc-pVDZ

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -1.202 0.360 0.000
C2 0.000 1.136 0.000
N3 1.121 0.505 0.000
C4 0.733 -0.901 0.000
C5 -0.768 -0.856 0.000
H6 -0.073 2.227 0.000
H7 1.146 -1.420 0.884
H8 1.146 -1.420 -0.884
H9 -1.444 -1.717 0.000

Atom - Atom Distances (Å)
  N1 C2 N3 C4 C5 H6 H7 H8 H9
N11.43132.32792.30991.29142.18223.07653.07652.0904
C21.43131.28662.16522.13531.09302.93802.93803.1974
N32.32791.28661.45852.32812.09522.11892.11893.3932
C42.30992.16521.45851.50163.23001.10561.10562.3248
C51.29142.13532.32811.50163.16042.18232.18231.0942
H62.18221.09302.09523.23003.16043.94583.94584.1750
H73.07652.93802.11891.10562.18233.94581.76902.7525
H83.07652.93802.11891.10562.18233.94581.76902.7525
H92.09043.19743.39322.32481.09424.17502.75252.7525

picture of 4H-Imidazole state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C2 N3 117.757 N1 C2 H6 119.041
N1 C5 C4 111.375 N1 C5 H9 122.172
C2 N1 C5 103.188 C2 N3 C4 103.966
N3 C2 H6 123.202 N3 C4 C5 103.714
N3 C4 H7 110.706 N3 C4 H8 110.706
C4 C5 H9 126.453 C5 C4 H7 112.773
C5 C4 H8 112.773 H7 C4 H8 106.264
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.180      
2 C 0.139      
3 N -0.215      
4 C 0.083      
5 C 0.026      
6 H 0.014      
7 H 0.062      
8 H 0.062      
9 H 0.009      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.059 -1.951 0.000 1.952
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -34.476 -0.627 0.000
y -0.627 -24.159 0.000
z 0.000 0.000 -28.592
Traceless
 xyz
x -8.101 -0.627 0.000
y -0.627 7.375 0.000
z 0.000 0.000 0.725
Polar
3z2-r21.451
x2-y2-10.317
xy-0.627
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.193 -0.353 0.000
y -0.353 7.523 0.000
z 0.000 0.000 3.679


<r2> (average value of r2) Å2
<r2> 81.767
(<r2>)1/2 9.042