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

using model chemistry: HF/3-21G

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/3-21G
 hartrees
Energy at 0K-223.549109
Energy at 298.15K-223.555476
HF Energy-223.549109
Nuclear repulsion energy163.634982
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/3-21G
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' 3856 3492 104.06      
2 A' 3494 3164 1.92      
3 A' 3467 3140 0.10      
4 A' 3466 3139 4.31      
5 A' 1688 1529 28.76      
6 A' 1610 1458 13.45      
7 A' 1532 1387 19.84      
8 A' 1447 1310 12.68      
9 A' 1396 1264 1.63      
10 A' 1251 1133 1.26      
11 A' 1169 1058 2.40      
12 A' 1150 1041 29.22      
13 A' 1123 1017 44.57      
14 A' 1045 947 2.20      
15 A' 1004 909 13.49      
16 A" 1078 976 0.71      
17 A" 1018 922 7.60      
18 A" 908 822 41.13      
19 A" 744 674 20.38      
20 A" 736 666 229.31      
21 A" 705 639 0.13      

Unscaled Zero Point Vibrational Energy (zpe) 16943.2 cm-1
Scaled (by 0.9056) Zero Point Vibrational Energy (zpe) 15343.8 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 HF/3-21G
ABC
0.32245 0.31895 0.16035

See section I.F.4 to change rotational constant units
Geometric Data calculated at HF/3-21G

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 1.103 0.000
C2 -1.096 0.285 0.000
C3 1.118 0.285 0.000
N4 -0.746 -0.968 0.000
C5 0.648 -0.983 0.000
H6 -0.001 2.097 0.000
H7 -2.092 0.657 0.000
H8 2.108 0.671 0.000
H9 1.194 -1.894 0.000

Atom - Atom Distances (Å)
  N1 C2 C3 N4 C5 H6 H7 H8 H9
N11.36801.38472.20092.18430.99442.13912.15183.2263
C21.36802.21361.30002.15582.11791.06333.22733.1610
C31.38472.21362.24571.35262.12953.23101.06302.1808
N42.20091.30002.24571.39403.15422.10953.29122.1503
C52.18432.15581.35261.39403.14803.19312.20661.0624
H60.99442.11792.12953.15423.14802.53912.54604.1666
H72.13911.06333.23102.10953.19312.53914.20014.1602
H82.15183.22731.06303.29122.20662.54604.20012.7232
H93.22633.16102.18082.15031.06244.16664.16022.7232

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 111.138 N1 C2 H7 122.748
N1 C3 C5 105.866 N1 C3 H8 122.523
C2 N1 C3 107.058 C2 N1 H6 126.690
C2 N4 C5 106.249 C3 N1 H6 126.252
C3 C5 N4 109.689 C3 C5 H9 128.712
N4 C2 H7 126.114 N4 C5 H9 121.599
C5 C3 H8 131.611
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HF/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.892      
2 C 0.391      
3 C 0.043      
4 N -0.624      
5 C -0.075      
6 H 0.375      
7 H 0.268      
8 H 0.265      
9 H 0.248      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.291 3.764 0.000 3.980
CHELPG 1.137 3.611 0.000 3.786
AIM        
ESP 1.262 3.733 0.000 3.941


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -25.991 -3.776 0.000
y -3.776 -25.951 0.000
z 0.000 0.000 -32.275
Traceless
 xyz
x 3.122 -3.776 0.000
y -3.776 3.182 0.000
z 0.000 0.000 -6.303
Polar
3z2-r2-12.606
x2-y2-0.040
xy-3.776
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.060 -0.223 0.000
y -0.223 6.034 0.000
z 0.000 0.000 1.805


<r2> (average value of r2) Å2
<r2> 79.606
(<r2>)1/2 8.922