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

using model chemistry: B3PW91/6-311G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at B3PW91/6-311G**
 hartrees
Energy at 0K-226.188883
Energy at 298.15K-226.194888
HF Energy-226.188883
Nuclear repulsion energy163.603429
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 B3PW91/6-311G**
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' 3677 3541 57.30      
2 A' 3282 3161 1.46      
3 A' 3252 3132 0.53      
4 A' 3248 3128 6.21      
5 A' 1567 1509 13.20      
6 A' 1513 1457 17.65      
7 A' 1450 1397 12.82      
8 A' 1379 1328 6.55      
9 A' 1280 1233 0.51      
10 A' 1183 1139 4.08      
11 A' 1151 1109 2.80      
12 A' 1101 1061 27.04      
13 A' 1082 1042 33.98      
14 A' 946 911 2.28      
15 A' 907 874 8.25      
16 A" 873 841 4.51      
17 A" 820 789 35.25      
18 A" 733 706 38.31      
19 A" 686 660 3.82      
20 A" 650 626 14.11      
21 A" 546 526 94.48      

Unscaled Zero Point Vibrational Energy (zpe) 15663.1 cm-1
Scaled (by 0.9631) Zero Point Vibrational Energy (zpe) 15085.1 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 B3PW91/6-311G**
ABC
0.32742 0.31475 0.16048

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/6-311G**

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 1.102 0.000
C2 -1.086 0.281 0.000
C3 1.116 0.300 0.000
N4 -0.740 -0.983 0.000
C5 0.632 -0.981 0.000
H6 -0.008 2.108 0.000
H7 -2.098 0.660 0.000
H8 2.115 0.703 0.000
H9 1.196 -1.902 0.000

Atom - Atom Distances (Å)
  N1 C2 C3 N4 C5 H6 H7 H8 H9
N11.36161.37412.21142.17661.00642.14402.15253.2332
C21.36162.20251.31012.13232.12181.08033.22963.1582
C31.37412.20252.25541.36912.12903.23411.07792.2036
N42.21141.31012.25541.37193.17602.13153.31562.1426
C52.17662.13231.36911.37193.15483.18572.24431.0798
H61.00642.12182.12903.17603.15482.54272.54584.1871
H72.14401.08033.23412.13153.18572.54274.21364.1730
H82.15253.22961.07793.31562.24432.54584.21362.7635
H93.23323.15822.20362.14261.07984.18714.17302.7635

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 111.716 N1 C2 H7 122.382
N1 C3 C5 105.016 N1 C3 H8 122.307
C2 N1 C3 107.232 C2 N1 H6 126.623
C2 N4 C5 105.294 C3 N1 H6 126.145
C3 C5 N4 110.742 C3 C5 H9 127.885
N4 C2 H7 125.902 N4 C5 H9 121.373
C5 C3 H8 132.677
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.354      
2 C 0.169      
3 C 0.001      
4 N -0.323      
5 C -0.081      
6 H 0.235      
7 H 0.122      
8 H 0.118      
9 H 0.112      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.105 3.598 0.000 3.764
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -26.285 -3.235 0.000
y -3.235 -25.236 0.000
z 0.000 0.000 -31.545
Traceless
 xyz
x 2.106 -3.235 0.000
y -3.235 3.679 0.000
z 0.000 0.000 -5.784
Polar
3z2-r2-11.569
x2-y2-1.049
xy-3.235
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.375 -0.168 0.000
y -0.168 7.049 0.000
z 0.000 0.000 3.379


<r2> (average value of r2) Å2
<r2> 79.415
(<r2>)1/2 8.911