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All results from a given calculation for C4H2N2 (Fumaronitrile)

using model chemistry: HSEh1PBE/6-31+G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2H 1Ag
Energy calculated at HSEh1PBE/6-31+G**
 hartrees
Energy at 0K-262.790772
Energy at 298.15K-262.791903
HF Energy-262.790772
Nuclear repulsion energy162.167410
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/6-31+G**
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 Ag 3226 3080 0.00      
2 Ag 2361 2254 0.00      
3 Ag 1696 1620 0.00      
4 Ag 1322 1262 0.00      
5 Ag 1038 991 0.00      
6 Ag 542 517 0.00      
7 Ag 256 245 0.00      
8 Au 979 935 57.26      
9 Au 568 543 2.28      
10 Au 128 122 16.03      
11 Bg 870 831 0.00      
12 Bg 389 372 0.00      
13 Bu 3231 3085 8.38      
14 Bu 2377 2270 7.49      
15 Bu 1288 1230 2.09      
16 Bu 1045 998 8.89      
17 Bu 541 516 0.75      
18 Bu 136 130 18.94      

Unscaled Zero Point Vibrational Energy (zpe) 10996.5 cm-1
Scaled (by 0.9548) Zero Point Vibrational Energy (zpe) 10499.5 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/6-31+G**
ABC
1.56152 0.04948 0.04796

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/6-31+G**

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.335 0.583 0.000
C2 0.335 -0.583 0.000
C3 0.335 1.838 0.000
C4 -0.335 -1.838 0.000
N5 0.859 2.874 0.000
N6 -0.859 -2.874 0.000
H7 -1.422 0.608 0.000
H8 1.422 -0.608 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 N5 N6 H7 H8
C11.34521.42252.42062.58423.49701.08662.1224
C21.34522.42061.42253.49702.58422.12241.0866
C31.42252.42063.73591.16184.86122.14472.6757
C42.42061.42253.73594.86121.16182.67572.1447
N52.58423.49701.16184.86126.00043.21593.5272
N63.49702.58424.86121.16186.00043.52723.2159
H71.08662.12242.14472.67573.21593.52723.0920
H82.12241.08662.67572.14473.52723.21593.0920

picture of Fumaronitrile state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C4 121.967 C1 C2 H8 121.200
C1 C3 N5 178.688 C2 C1 C3 121.967
C2 C1 H7 121.200 C2 C4 N6 178.688
C3 C1 H7 116.832 C4 C2 H8 116.832
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.453      
2 C 0.453      
3 C -0.249      
4 C -0.249      
5 N -0.428      
6 N -0.428      
7 H 0.224      
8 H 0.224      


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 0.000 0.000
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -32.769 -8.936 0.000
y -8.936 -54.260 0.000
z 0.000 0.000 -34.347
Traceless
 xyz
x 11.535 -8.936 0.000
y -8.936 -20.702 0.000
z 0.000 0.000 9.167
Polar
3z2-r218.334
x2-y221.491
xy-8.936
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.307 2.262 0.000
y 2.262 15.286 0.000
z 0.000 0.000 4.371


<r2> (average value of r2) Å2
<r2> 203.366
(<r2>)1/2 14.261