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All results from a given calculation for C4H8 (cyclobutane)

using model chemistry: HF/6-31G(2df,p)

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D2D 1A1
Energy calculated at HF/6-31G(2df,p)
 hartrees
Energy at 0K-156.116976
Energy at 298.15K-156.126304
HF Energy-156.116976
Nuclear repulsion energy127.519940
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/6-31G(2df,p)
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 3226 2921 0.00      
2 A1 3199 2896 0.00      
3 A1 1649 1493 0.00      
4 A1 1280 1159 0.00      
5 A1 1075 974 0.00      
6 A1 208 188 0.00      
7 A2 1373 1243 0.00      
8 A2 1030 933 0.00      
9 B1 1378 1248 0.00      
10 B1 1276 1155 0.00      
11 B1 1005 910 0.00      
12 B2 3258 2950 134.34      
13 B2 3186 2884 12.94      
14 B2 1607 1455 2.55      
15 B2 960 869 0.14      
16 B2 678 614 2.03      
17 E 3238 2932 25.90      
17 E 3238 2932 25.90      
18 E 3189 2888 95.63      
18 E 3189 2888 95.63      
19 E 1606 1454 0.01      
19 E 1606 1454 0.01      
20 E 1420 1286 0.08      
20 E 1420 1286 0.08      
21 E 1354 1226 0.04      
21 E 1354 1226 0.04      
22 E 978 886 2.34      
22 E 978 886 2.34      
23 E 803 727 0.25      
23 E 803 727 0.25      

Unscaled Zero Point Vibrational Energy (zpe) 25780.2 cm-1
Scaled (by 0.9055) Zero Point Vibrational Energy (zpe) 23344.0 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/6-31G(2df,p)
ABC
0.35976 0.35976 0.21285

See section I.F.4 to change rotational constant units
Geometric Data calculated at HF/6-31G(2df,p)

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 1.078 0.127
C2 0.000 -1.078 0.127
C3 -1.078 0.000 -0.127
C4 1.078 0.000 -0.127
H5 0.000 1.408 1.161
H6 0.000 1.954 -0.513
H7 0.000 -1.408 1.161
H8 0.000 -1.954 -0.513
H9 -1.408 0.000 -1.161
H10 -1.954 0.000 0.513
H11 1.408 0.000 -1.161
H12 1.954 0.000 0.513

Atom - Atom Distances (Å)
  C1 C2 C3 C4 H5 H6 H7 H8 H9 H10 H11 H12
C12.15691.54601.54601.08531.08392.69253.09882.19112.26482.19112.2648
C22.15691.54601.54602.69253.09881.08531.08392.19112.26482.19112.2648
C31.54601.54602.15692.19112.26482.19112.26481.08531.08392.69253.0988
C41.54601.54602.15692.19112.26482.19112.26482.69253.09881.08531.0839
H51.08532.69252.19112.19111.76032.81513.75483.05792.49353.05792.4935
H61.08393.09882.26482.26481.76033.75483.90742.49352.94722.49352.9472
H72.69251.08532.19112.19112.81513.75481.76033.05792.49353.05792.4935
H83.09881.08392.26482.26483.75483.90741.76032.49352.94722.49352.9472
H92.19112.19111.08532.69253.05792.49353.05792.49351.76032.81513.7548
H102.26482.26481.08393.09882.49352.94722.49352.94721.76033.75483.9074
H112.19112.19112.69251.08533.05792.49353.05792.49352.81513.75481.7603
H122.26482.26483.09881.08392.49352.94722.49352.94723.75483.90741.7603

picture of cyclobutane state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C3 C2 88.465 C1 C3 H9 111.561
C1 C3 H10 117.825 C1 C4 C2 88.465
C1 C4 H11 111.561 C1 C4 H12 117.825
C2 C3 H9 111.561 C2 C3 H10 117.825
C2 C4 H11 111.561 C2 C4 H12 117.825
C3 C1 C4 88.465 C3 C1 H5 111.561
C3 C1 H6 117.825 C3 C2 C4 88.465
C3 C2 H7 111.561 C3 C2 H8 117.825
C4 C1 H5 111.561 C4 C1 H6 117.825
C4 C2 H7 111.561 C4 C2 H8 117.825
H5 C1 H6 108.492 H7 C2 H8 108.492
H9 C3 H10 108.492 H11 C4 H12 108.492
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HF/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.247      
2 C -0.247      
3 C -0.247      
4 C -0.247      
5 H 0.125      
6 H 0.122      
7 H 0.125      
8 H 0.122      
9 H 0.125      
10 H 0.122      
11 H 0.125      
12 H 0.122      


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 -27.122 0.000 0.000
y 0.000 -27.122 0.000
z 0.000 0.000 -25.726
Traceless
 xyz
x -0.698 0.000 0.000
y 0.000 -0.698 0.000
z 0.000 0.000 1.396
Polar
3z2-r22.792
x2-y20.000
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.154 0.000 0.000
y 0.000 6.154 0.000
z 0.000 0.000 5.677


<r2> (average value of r2) Å2
<r2> 74.578
(<r2>)1/2 8.636