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

using model chemistry: HF/aug-cc-pVDZ

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/aug-cc-pVDZ
 hartrees
Energy at 0K-224.848928
Energy at 298.15K-224.855145
HF Energy-224.848928
Nuclear repulsion energy164.552480
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/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 A' 3910 3560 94.65      
2 A' 3443 3135 1.77      
3 A' 3413 3107 2.30      
4 A' 3410 3105 4.95      
5 A' 1716 1562 20.19      
6 A' 1640 1493 25.62      
7 A' 1570 1430 23.05      
8 A' 1481 1349 8.50      
9 A' 1389 1265 0.36      
10 A' 1237 1127 6.24      
11 A' 1219 1110 3.94      
12 A' 1170 1065 12.78      
13 A' 1142 1040 56.98      
14 A' 1014 923 1.56      
15 A' 977 890 6.34      
16 A" 992 903 0.39      
17 A" 965 879 24.12      
18 A" 831 757 63.99      
19 A" 725 660 12.38      
20 A" 686 625 5.34      
21 A" 542 494 113.00      

Unscaled Zero Point Vibrational Energy (zpe) 16734.3 cm-1
Scaled (by 0.9106) Zero Point Vibrational Energy (zpe) 15238.3 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 HF/aug-cc-pVDZ
ABC
0.32912 0.32024 0.16231

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 1.097 0.000
C2 -1.077 0.281 0.000
C3 1.112 0.290 0.000
N4 -0.743 -0.968 0.000
C5 0.632 -0.978 0.000
H6 -0.016 2.091 0.000
H7 -2.085 0.659 0.000
H8 2.112 0.681 0.000
H9 1.189 -1.897 0.000

Atom - Atom Distances (Å)
  N1 C2 C3 N4 C5 H6 H7 H8 H9
N11.35121.37412.19412.16870.99382.13012.15273.2213
C21.35122.18951.29322.12302.09771.07593.21443.1438
C31.37412.18952.24101.35552.12473.21811.07362.1880
N42.19411.29322.24101.37463.14352.10913.29662.1440
C52.16872.12301.35551.37463.13583.17172.22301.0750
H60.99382.09772.12473.14353.13582.51582.55244.1655
H72.13011.07593.21812.10913.17172.51584.19684.1539
H82.15273.21441.07363.29662.22302.55244.19682.7378
H93.22133.14382.18802.14401.07504.16554.15392.7378

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 112.122 N1 C2 H7 122.313
N1 C3 C5 105.215 N1 C3 H8 122.681
C2 N1 C3 106.913 C2 N1 H6 126.219
C2 N4 C5 105.415 C3 N1 H6 126.868
C3 C5 N4 110.335 C3 C5 H9 128.006
N4 C2 H7 125.565 N4 C5 H9 121.659
C5 C3 H8 132.105
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HF/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.513      
2 C 0.746      
3 C 0.704      
4 N -0.771      
5 C 0.513      
6 H -0.116      
7 H -0.128      
8 H -0.237      
9 H -0.199      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.082 3.654 0.000 3.811
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -26.766 -3.587 0.000
y -3.587 -26.029 0.000
z 0.000 0.000 -32.628
Traceless
 xyz
x 2.563 -3.587 0.000
y -3.587 3.668 0.000
z 0.000 0.000 -6.231
Polar
3z2-r2-12.461
x2-y2-0.736
xy-3.587
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.885 -0.070 0.000
y -0.070 7.678 0.000
z 0.000 0.000 4.890


<r2> (average value of r2) Å2
<r2> 79.208
(<r2>)1/2 8.900