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

using model chemistry: HF/LANL2DZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at HF/LANL2DZ
 hartrees
Energy at 0K-224.702316
Energy at 298.15K-224.708492
HF Energy-224.702316
Nuclear repulsion energy160.314909
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 HF/LANL2DZ
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' 3497 3147 11.15      
2 A' 3456 3110 7.48      
3 A' 3255 2929 6.16      
4 A' 1786 1607 54.98      
5 A' 1700 1530 22.79      
6 A' 1586 1427 26.25      
7 A' 1432 1289 37.27      
8 A' 1423 1281 9.69      
9 A' 1397 1257 3.89      
10 A' 1097 987 77.75      
11 A' 1068 961 12.64      
12 A' 1009 908 3.36      
13 A' 952 857 1.58      
14 A' 947 852 20.76      
15 A" 3311 2979 9.01      
16 A" 1273 1146 0.12      
17 A" 1137 1023 18.82      
18 A" 1074 966 0.01      
19 A" 863 777 9.21      
20 A" 628 566 37.43      
21 A" 427 385 9.46      

Unscaled Zero Point Vibrational Energy (zpe) 16657.5 cm-1
Scaled (by 0.8999) Zero Point Vibrational Energy (zpe) 14990.1 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 HF/LANL2DZ
ABC
0.31421 0.29494 0.15651

See section I.F.4 to change rotational constant units
Geometric Data calculated at HF/LANL2DZ

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 1.120 0.531 0.000
C2 0.771 -0.868 0.000
N3 -0.483 -1.115 0.000
C4 -1.163 0.190 0.000
C5 0.000 1.160 0.000
H6 1.538 -1.607 0.000
H7 -1.791 0.289 0.876
H8 -1.791 0.289 -0.876
H9 -0.065 2.227 0.000

Atom - Atom Distances (Å)
  N1 C2 N3 C4 C5 H6 H7 H8 H9
N11.44162.29712.30811.28462.17863.04963.04962.0688
C21.44161.27822.20502.16981.06542.94492.94493.2057
N32.29711.27821.47202.32562.08052.10962.10963.3677
C42.30812.20501.47201.51413.24511.08251.08252.3135
C51.28462.16982.32561.51413.16632.17582.17581.0687
H62.17861.06542.08053.24513.16633.93073.93074.1558
H73.04962.94492.10961.08252.17583.93071.75212.7390
H83.04962.94492.10961.08252.17583.93071.75212.7390
H92.06883.20573.36772.31351.06874.15582.73902.7390

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 115.128 N1 C2 H6 119.945
N1 C5 C4 110.853 N1 C5 H9 122.810
C2 N1 C5 105.339 C2 N3 C4 106.386
N3 C2 H6 124.927 N3 C4 C5 102.294
N3 C4 H7 110.418 N3 C4 H8 110.418
C4 C5 H9 126.337 C5 C4 H7 112.796
C5 C4 H8 112.796 H7 C4 H8 108.057
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HF/LANL2DZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.242      
2 C -0.047      
3 N -0.201      
4 C -0.380      
5 C -0.076      
6 H 0.241      
7 H 0.236      
8 H 0.236      
9 H 0.233      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -1.705 1.884 0.000 2.541
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -30.957 -7.199 0.000
y -7.199 -30.721 0.000
z 0.000 0.000 -29.676
Traceless
 xyz
x -0.759 -7.199 0.000
y -7.199 -0.405 0.000
z 0.000 0.000 1.164
Polar
3z2-r22.327
x2-y2-0.236
xy-7.199
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.865 -0.639 0.000
y -0.639 5.945 0.000
z 0.000 0.000 3.294


<r2> (average value of r2) Å2
<r2> 82.632
(<r2>)1/2 9.090