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

using model chemistry: HSEh1PBE/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 HSEh1PBE/cc-pVDZ
 hartrees
Energy at 0K-225.334415
Energy at 298.15K-225.338874
HF Energy-225.334415
Nuclear repulsion energy153.147900
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 HSEh1PBE/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 3255 3131 1.87      
2 A1 3246 3122 11.12      
3 A1 1488 1431 25.60      
4 A1 1317 1267 49.69      
5 A1 1190 1144 26.47      
6 A1 1002 964 1.97      
7 A1 920 885 4.53      
8 A2 891 857 0.00      
9 A2 567 546 0.00      
10 B1 880 846 0.20      
11 B1 762 733 20.23      
12 B1 517 497 27.22      
13 B2 3231 3108 0.75      
14 B2 1553 1494 22.08      
15 B2 1282 1233 0.02      
16 B2 1187 1142 4.61      
17 B2 1040 1001 73.82      
18 B2 810 779 0.12      

Unscaled Zero Point Vibrational Energy (zpe) 12568.7 cm-1
Scaled (by 0.9619) Zero Point Vibrational Energy (zpe) 12089.8 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 HSEh1PBE/cc-pVDZ
ABC
0.35713 0.30606 0.16481

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/cc-pVDZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.090
N2 0.000 1.166 0.372
N3 0.000 -1.166 0.372
C4 0.000 0.736 -0.872
C5 0.000 -0.736 -0.872
H6 0.000 0.000 2.181
H7 0.000 1.409 -1.731
H8 0.000 -1.409 -1.731

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8
C11.36951.36952.09562.09561.09093.15353.1535
N21.36952.33241.31672.27272.15222.11713.3251
N31.36952.33242.27271.31672.15223.32512.1171
C42.09561.31672.27271.47133.14051.09152.3105
C52.09562.27271.31671.47133.14052.31051.0915
H61.09092.15222.15223.14053.14054.15804.1580
H73.15352.11713.32511.09152.31054.15802.8187
H83.15353.32512.11712.31051.09154.15802.8187

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 102.534 C1 N3 C5 102.534
N2 C1 N3 116.762 N2 C1 H6 121.619
N2 C4 C5 109.085 N2 C4 H7 122.802
N3 C1 H6 121.619 N3 C5 C4 109.085
N3 C5 H8 122.802 C4 C5 H8 128.113
C5 C4 H7 128.113
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.194      
2 N -0.226      
3 N -0.226      
4 C 0.064      
5 C 0.064      
6 H 0.050      
7 H 0.039      
8 H 0.039      


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 -1.573 1.573
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.929 0.000 0.000
y 0.000 -33.680 0.000
z 0.000 0.000 -22.262
Traceless
 xyz
x -0.958 0.000 0.000
y 0.000 -8.085 0.000
z 0.000 0.000 9.043
Polar
3z2-r218.085
x2-y24.751
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.874 0.000 0.000
y 0.000 5.924 0.000
z 0.000 0.000 7.421


<r2> (average value of r2) Å2
<r2> 76.121
(<r2>)1/2 8.725