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

using model chemistry: B3LYP/6-31G*

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/6-31G*
 hartrees
Energy at 0K-226.214555
Energy at 298.15K-226.220475
HF Energy-226.214555
Nuclear repulsion energy162.999150
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/6-31G*
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' 3652 3507 43.01      
2 A' 3296 3165 2.76      
3 A' 3268 3138 2.13      
4 A' 3263 3134 8.35      
5 A' 1576 1513 13.11      
6 A' 1520 1460 18.84      
7 A' 1451 1393 15.87      
8 A' 1382 1327 8.27      
9 A' 1293 1242 0.50      
10 A' 1172 1125 5.45      
11 A' 1157 1111 2.31      
12 A' 1106 1062 18.14      
13 A' 1082 1040 33.93      
14 A' 944 906 1.55      
15 A' 905 869 8.63      
16 A" 856 822 5.40      
17 A" 800 768 31.22      
18 A" 719 690 22.42      
19 A" 683 656 3.24      
20 A" 645 620 13.59      
21 A" 504 484 98.92      

Unscaled Zero Point Vibrational Energy (zpe) 15637.1 cm-1
Scaled (by 0.9603) Zero Point Vibrational Energy (zpe) 15016.3 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/6-31G*
ABC
0.32502 0.31233 0.15928

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-31G*

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 1.106 0.000
C2 -1.090 0.281 0.000
C3 1.121 0.300 0.000
N4 -0.743 -0.987 0.000
C5 0.636 -0.984 0.000
H6 -0.009 2.116 0.000
H7 -2.103 0.662 0.000
H8 2.121 0.707 0.000
H9 1.198 -1.908 0.000

Atom - Atom Distances (Å)
  N1 C2 C3 N4 C5 H6 H7 H8 H9
N11.36721.38072.22112.18441.00952.14942.15793.2432
C21.36722.21121.31492.13982.12921.08203.23913.1667
C31.38072.21122.26501.37232.13883.24421.07962.2088
N42.22111.31492.26501.37863.18822.13763.32722.1484
C52.18442.13981.37231.37863.16583.19522.25031.0817
H61.00952.12922.13883.18823.16582.54882.55374.2005
H72.14941.08203.24422.13763.19522.54884.22404.1835
H82.15793.23911.07963.32722.25032.55374.22402.7726
H93.24323.16672.20882.14841.08174.20054.18352.7726

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 111.795 N1 C2 H7 122.278
N1 C3 C5 105.021 N1 C3 H8 122.116
C2 N1 C3 107.161 C2 N1 H6 126.578
C2 N4 C5 105.178 C3 N1 H6 126.261
C3 C5 N4 110.845 C3 C5 H9 127.956
N4 C2 H7 125.927 N4 C5 H9 121.200
C5 C3 H8 132.863
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.547      
2 C 0.206      
3 C 0.018      
4 N -0.422      
5 C -0.031      
6 H 0.334      
7 H 0.154      
8 H 0.152      
9 H 0.135      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.118 3.544 0.000 3.716
CHELPG 1.097 3.486 0.000 3.654
AIM        
ESP 1.095 3.522 0.000 3.688


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -26.202 -3.115 0.000
y -3.115 -25.112 0.000
z 0.000 0.000 -31.094
Traceless
 xyz
x 1.901 -3.115 0.000
y -3.115 3.536 0.000
z 0.000 0.000 -5.437
Polar
3z2-r2-10.874
x2-y2-1.090
xy-3.115
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.064 -0.198 0.000
y -0.198 6.803 0.000
z 0.000 0.000 2.588


<r2> (average value of r2) Å2
<r2> 79.729
(<r2>)1/2 8.929