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

using model chemistry: B3LYP/CEP-31G

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/CEP-31G
 hartrees
Energy at 0K-39.074440
Energy at 298.15K-39.080446
HF Energy-39.074440
Nuclear repulsion energy83.005340
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/CEP-31G
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' 3675 3559 44.29      
2 A' 3304 3200 4.32      
3 A' 3287 3183 5.42      
4 A' 3273 3169 3.74      
5 A' 1532 1483 13.24      
6 A' 1468 1422 13.69      
7 A' 1392 1348 14.23      
8 A' 1334 1292 5.23      
9 A' 1262 1222 1.12      
10 A' 1150 1114 1.03      
11 A' 1121 1085 8.52      
12 A' 1088 1054 22.50      
13 A' 1056 1022 46.45      
14 A' 928 899 4.35      
15 A' 893 864 7.32      
16 A" 886 858 3.68      
17 A" 835 809 55.59      
18 A" 765 741 69.16      
19 A" 665 644 6.06      
20 A" 649 628 129.49      
21 A" 616 597 34.46      

Unscaled Zero Point Vibrational Energy (zpe) 15588.8 cm-1
Scaled (by 0.9684) Zero Point Vibrational Energy (zpe) 15096.2 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/CEP-31G
ABC
0.31179 0.30004 0.15290

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/CEP-31G

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 1.131 0.000
C2 -1.115 0.293 0.000
C3 1.143 0.305 0.000
N4 -0.757 -0.998 0.000
C5 0.652 -1.016 0.000
H6 -0.006 2.146 0.000
H7 -2.136 0.670 0.000
H8 2.151 0.703 0.000
H9 1.211 -1.946 0.000

Atom - Atom Distances (Å)
  N1 C2 C3 N4 C5 H6 H7 H8 H9
N11.39511.41062.25942.24401.01482.18482.19303.3068
C21.39512.25831.33962.19962.15951.08773.29193.2290
C31.41062.25832.30341.40862.17053.29891.08402.2512
N42.25941.33962.30341.40963.23202.16373.36892.1850
C52.24402.19961.40861.40963.22973.25812.28071.0850
H61.01482.15952.17053.23203.22972.59092.59494.2689
H72.18481.08773.29892.16373.25812.59094.28664.2480
H82.19303.29191.08403.36892.28072.59494.28662.8107
H93.30683.22902.25122.18501.08504.26894.24802.8107

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 111.408 N1 C2 H7 122.803
N1 C3 C5 105.496 N1 C3 H8 122.528
C2 N1 C3 107.203 C2 N1 H6 126.575
C2 N4 C5 106.254 C3 N1 H6 126.222
C3 C5 N4 109.639 C3 C5 H9 128.594
N4 C2 H7 125.789 N4 C5 H9 121.767
C5 C3 H8 131.976
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/CEP-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.084      
2 C -0.550      
3 C -0.306      
4 N 0.145      
5 C -0.374      
6 H 0.321      
7 H 0.272      
8 H 0.293      
9 H 0.284      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.421 3.939 0.000 4.187
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -26.397 -4.003 0.000
y -4.003 -25.904 0.000
z 0.000 0.000 -32.263
Traceless
 xyz
x 2.686 -4.003 0.000
y -4.003 3.426 0.000
z 0.000 0.000 -6.112
Polar
3z2-r2-12.224
x2-y2-0.493
xy-4.003
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.180 -0.035 0.000
y -0.035 7.136 0.000
z 0.000 0.000 3.151


<r2> (average value of r2) Å2
<r2> 68.583
(<r2>)1/2 8.281