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

using model chemistry: LSDA/cc-pVTZ

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-pVTZ
 hartrees
Energy at 0K-225.068663
Energy at 298.15K-225.074617
HF Energy-225.068663
Nuclear repulsion energy164.162327
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-pVTZ
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' 3562 3523 53.25      
2 A' 3202 3168 0.06      
3 A' 3171 3136 1.40      
4 A' 3167 3133 2.22      
5 A' 1525 1509 12.52      
6 A' 1482 1466 13.88      
7 A' 1422 1406 8.10      
8 A' 1368 1353 7.87      
9 A' 1237 1223 1.57      
10 A' 1195 1182 2.32      
11 A' 1114 1102 2.95      
12 A' 1076 1064 34.40      
13 A' 1054 1042 21.25      
14 A' 926 916 2.18      
15 A' 883 874 10.20      
16 A" 848 839 4.00      
17 A" 782 773 30.52      
18 A" 709 701 35.65      
19 A" 678 671 4.53      
20 A" 644 637 9.62      
21 A" 558 552 89.66      

Unscaled Zero Point Vibrational Energy (zpe) 15300.8 cm-1
Scaled (by 0.9891) Zero Point Vibrational Energy (zpe) 15134.0 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-pVTZ
ABC
0.32952 0.31766 0.16174

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 1.094 0.000
C2 -1.084 0.282 0.000
C3 1.109 0.300 0.000
N4 -0.732 -0.978 0.000
C5 0.628 -0.980 0.000
H6 -0.006 2.109 0.000
H7 -2.102 0.664 0.000
H8 2.114 0.707 0.000
H9 1.199 -1.905 0.000

Atom - Atom Distances (Å)
  N1 C2 C3 N4 C5 H6 H7 H8 H9
N11.35401.36342.19692.16651.01512.14582.14953.2297
C21.35402.19281.30812.12712.12091.08773.22653.1615
C31.36342.19282.24091.36722.12453.23171.08492.2074
N42.19691.30812.24091.36043.17072.13873.30782.1419
C52.16652.12711.36721.36043.15303.18752.24831.0871
H61.01512.12092.12453.17073.15302.54582.54184.1910
H72.14581.08773.23172.13873.18752.54584.21704.1832
H82.14953.22651.08493.30782.24832.54184.21702.7686
H93.22973.16152.20742.14191.08714.19104.18322.7686

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 111.212 N1 C2 H7 122.615
N1 C3 C5 105.014 N1 C3 H8 122.375
C2 N1 C3 107.595 C2 N1 H6 126.477
C2 N4 C5 105.693 C3 N1 H6 125.928
C3 C5 N4 110.486 C3 C5 H9 127.792
N4 C2 H7 126.173 N4 C5 H9 121.722
C5 C3 H8 132.611
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at LSDA/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.028      
2 C -0.064      
3 C -0.136      
4 N -0.171      
5 C -0.139      
6 H 0.160      
7 H 0.127      
8 H 0.128      
9 H 0.123      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.108 3.561 0.000 3.729
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -26.736 -3.163 0.000
y -3.163 -25.514 0.000
z 0.000 0.000 -31.789
Traceless
 xyz
x 1.916 -3.163 0.000
y -3.163 3.748 0.000
z 0.000 0.000 -5.664
Polar
3z2-r2-11.328
x2-y2-1.222
xy-3.163
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.047 -0.161 0.000
y -0.161 7.643 0.000
z 0.000 0.000 4.050


<r2> (average value of r2) Å2
<r2> 79.232
(<r2>)1/2 8.901