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All results from a given calculation for C3H3N2 (imidazolyl radical)

using model chemistry: B3LYPultrafine/aug-cc-pVDZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 2B1
Energy calculated at B3LYPultrafine/aug-cc-pVDZ
 hartrees
Energy at 0K-225.587553
Energy at 298.15K-225.591992
HF Energy-225.587553
Nuclear repulsion energy152.614280
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 B3LYPultrafine/aug-cc-pVDZ
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 A1 3238 3142 1.29      
2 A1 3226 3130 10.36      
3 A1 1439 1397 19.33      
4 A1 1307 1269 50.91      
5 A1 1167 1133 24.55      
6 A1 984 955 1.43      
7 A1 914 887 2.36      
8 A2 882 856 0.00      
9 A2 560 543 0.00      
10 B1 882 856 0.08      
11 B1 759 737 24.53      
12 B1 517 502 29.36      
13 B2 3212 3117 0.34      
14 B2 1517 1472 23.01      
15 B2 1283 1245 0.00      
16 B2 1182 1147 5.43      
17 B2 1019 988 73.25      
18 B2 788 765 0.54      

Unscaled Zero Point Vibrational Energy (zpe) 12437.7 cm-1
Scaled (by 0.9704) Zero Point Vibrational Energy (zpe) 12069.6 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 B3LYPultrafine/aug-cc-pVDZ
ABC
0.35292 0.30512 0.16364

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYPultrafine/aug-cc-pVDZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.100
N2 0.000 1.167 0.373
N3 0.000 -1.167 0.373
C4 0.000 0.739 -0.878
C5 0.000 -0.739 -0.878
H6 0.000 0.000 2.188
H7 0.000 1.410 -1.735
H8 0.000 -1.410 -1.735

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8
C11.37511.37512.11122.11121.08763.16643.1664
N21.37512.33411.32182.27932.15782.12163.3294
N31.37512.33412.27931.32182.15783.32942.1216
C42.11121.32182.27931.47733.15311.08902.3137
C52.11122.27931.32181.47733.15312.31371.0890
H61.08762.15782.15783.15313.15314.16844.1684
H73.16642.12163.32941.08902.31374.16842.8207
H83.16643.32942.12162.31371.08904.16842.8207

picture of imidazolyl radical state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 N2 C4 103.020 C1 N3 C5 103.020
N2 C1 N3 116.137 N2 C1 H6 121.931
N2 C4 C5 108.911 N2 C4 H7 123.007
N3 C1 H6 121.931 N3 C5 C4 108.911
N3 C5 H8 123.007 C4 C5 H8 128.081
C5 C4 H7 128.081
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYPultrafine/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.549      
2 N -0.301      
3 N -0.301      
4 C 0.563      
5 C 0.563      
6 H -0.273      
7 H -0.401      
8 H -0.401      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.000 0.000 -1.721 1.721
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -29.737 0.000 0.000
y 0.000 -35.224 0.000
z 0.000 0.000 -22.572
Traceless
 xyz
x -0.839 0.000 0.000
y 0.000 -9.070 0.000
z 0.000 0.000 9.909
Polar
3z2-r219.818
x2-y25.487
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.559 0.000 0.000
y 0.000 7.480 0.000
z 0.000 0.000 8.339


<r2> (average value of r2) Å2
<r2> 77.073
(<r2>)1/2 8.779