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

using model chemistry: LSDA/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 LSDA/cc-pVDZ
 hartrees
Energy at 0K-224.950980
Energy at 298.15K-224.956798
HF Energy-224.950980
Nuclear repulsion energy161.128853
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/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' 3136 3101 6.78      
2 A' 3119 3085 3.59      
3 A' 2965 2933 1.39      
4 A' 1621 1604 39.89      
5 A' 1529 1512 8.54      
6 A' 1275 1261 14.66      
7 A' 1267 1253 50.89      
8 A' 1250 1236 5.21      
9 A' 1184 1171 6.38      
10 A' 1069 1057 23.59      
11 A' 1017 1006 40.86      
12 A' 939 929 2.46      
13 A' 875 866 11.76      
14 A' 871 861 13.47      
15 A" 3002 2969 1.12      
16 A" 1081 1069 0.26      
17 A" 944 933 9.77      
18 A" 913 903 3.06      
19 A" 705 697 7.53      
20 A" 559 553 16.91      
21 A" 342 338 12.08      

Unscaled Zero Point Vibrational Energy (zpe) 14831.6 cm-1
Scaled (by 0.989) Zero Point Vibrational Energy (zpe) 14668.4 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 LSDA/cc-pVDZ
ABC
0.32297 0.29587 0.15899

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -1.190 0.372 0.000
C2 0.000 1.128 0.000
N3 1.120 0.487 0.000
C4 0.718 -0.891 0.000
C5 -0.764 -0.850 0.000
H6 -0.057 2.230 0.000
H7 1.137 -1.428 0.883
H8 1.137 -1.428 -0.883
H9 -1.453 -1.712 0.000

Atom - Atom Distances (Å)
  N1 C2 N3 C4 C5 H6 H7 H8 H9
N11.40982.31292.28781.29462.17563.07173.07172.1011
C21.40981.29092.14282.12081.10272.93392.93393.1906
N32.31291.29091.43492.31002.10322.10862.10863.3845
C42.28782.14281.43491.48203.21501.11551.11552.3207
C51.29462.12082.31001.48203.15982.17402.17401.1036
H62.17561.10272.10323.21503.15983.94763.94764.1817
H73.07172.93392.10861.11552.17403.94761.76622.7508
H83.07172.93392.10861.11552.17403.94761.76622.7508
H92.10113.19063.38452.32071.10364.18172.75082.7508

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 117.761 N1 C2 H6 119.468
N1 C5 C4 110.785 N1 C5 H9 122.153
C2 N1 C5 103.210 C2 N3 C4 103.521
N3 C2 H6 122.771 N3 C4 C5 104.722
N3 C4 H7 110.917 N3 C4 H8 110.917
C4 C5 H9 127.062 C5 C4 H7 112.881
C5 C4 H8 112.881 H7 C4 H8 104.679
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at LSDA/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.125      
2 C 0.035      
3 N -0.156      
4 C -0.057      
5 C -0.044      
6 H 0.059      
7 H 0.118      
8 H 0.118      
9 H 0.053      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.181 -2.056 0.000 2.064
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -34.195 -0.720 0.000
y -0.720 -23.988 0.000
z 0.000 0.000 -28.600
Traceless
 xyz
x -7.901 -0.720 0.000
y -0.720 7.410 0.000
z 0.000 0.000 0.492
Polar
3z2-r20.983
x2-y2-10.208
xy-0.720
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.362 -0.320 0.000
y -0.320 7.700 0.000
z 0.000 0.000 3.750


<r2> (average value of r2) Å2
<r2> 80.956
(<r2>)1/2 8.998