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

using model chemistry: B3LYP/TZVP

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/TZVP
 hartrees
Energy at 0K-226.266945
Energy at 298.15K-226.272872
HF Energy-226.266945
Nuclear repulsion energy160.889103
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/TZVP
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' 3213 3102 10.41      
2 A' 3189 3079 7.88      
3 A' 3040 2934 1.61      
4 A' 1651 1593 46.26      
5 A' 1549 1496 10.76      
6 A' 1404 1356 23.66      
7 A' 1326 1280 24.33      
8 A' 1308 1263 5.29      
9 A' 1267 1223 9.42      
10 A' 1026 991 64.51      
11 A' 988 954 9.08      
12 A' 936 904 4.35      
13 A' 882 852 0.75      
14 A' 881 851 13.93      
15 A" 3068 2962 1.01      
16 A" 1160 1120 0.22      
17 A" 1007 972 14.90      
18 A" 964 931 0.40      
19 A" 756 729 6.43      
20 A" 571 551 22.30      
21 A" 369 356 7.05      

Unscaled Zero Point Vibrational Energy (zpe) 15276.3 cm-1
Scaled (by 0.9654) Zero Point Vibrational Energy (zpe) 14747.8 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/TZVP
ABC
0.32093 0.29421 0.15797

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -1.195 0.354 0.000
C2 0.000 1.137 0.000
N3 1.113 0.508 0.000
C4 0.732 -0.900 0.000
C5 -0.765 -0.856 0.000
H6 -0.077 2.216 0.000
H7 1.142 -1.410 0.879
H8 1.142 -1.410 -0.879
H9 -1.433 -1.709 0.000

Atom - Atom Distances (Å)
  N1 C2 N3 C4 C5 H6 H7 H8 H9
N11.42902.31332.29951.28372.17243.05693.05692.0766
C21.42901.27842.16442.13461.08232.92602.92603.1867
N32.31331.27841.45812.32102.08232.10952.10953.3763
C42.29952.16441.45811.49843.21971.09541.09542.3123
C51.28372.13462.32101.49843.14832.17172.17171.0839
H62.17241.08232.08233.21973.14833.92533.92534.1532
H73.05692.92602.10951.09542.17173.92531.75732.7376
H83.05692.92602.10951.09542.17173.92531.75732.7376
H92.07663.18673.37632.31231.08394.15322.73762.7376

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 117.288 N1 C2 H6 119.132
N1 C5 C4 111.253 N1 C5 H9 122.362
C2 N1 C5 103.659 C2 N3 C4 104.354
N3 C2 H6 123.580 N3 C4 C5 103.444
N3 C4 H7 110.608 N3 C4 H8 110.608
C4 C5 H9 126.384 C5 C4 H7 112.788
C5 C4 H8 112.788 H7 C4 H8 106.670
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.126      
2 C -0.082      
3 N -0.095      
4 C -0.265      
5 C -0.033      
6 H 0.133      
7 H 0.165      
8 H 0.165      
9 H 0.138      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.057 -2.162 0.000 2.163
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -35.888 -0.665 0.000
y -0.665 -24.207 0.000
z 0.000 0.000 -29.118
Traceless
 xyz
x -9.225 -0.665 0.000
y -0.665 8.296 0.000
z 0.000 0.000 0.929
Polar
3z2-r21.858
x2-y2-11.681
xy-0.665
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.008 -0.381 0.000
y -0.381 7.908 0.000
z 0.000 0.000 4.456


<r2> (average value of r2) Å2
<r2> 81.687
(<r2>)1/2 9.038