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All results from a given calculation for C4H8 (cyclobutane)

using model chemistry: PBEPBEultrafine/6-311G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D2D 1A1
Energy calculated at PBEPBEultrafine/6-311G*
 hartrees
Energy at 0K-157.013908
Energy at 298.15K-157.022924
HF Energy-157.013908
Nuclear repulsion energy126.473747
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 PBEPBEultrafine/6-311G*
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 3016 2985 0.00      
2 A1 2987 2956 0.00      
3 A1 1485 1469 0.00      
4 A1 1139 1128 0.00      
5 A1 1010 999 0.00      
6 A1 191 189 0.00      
7 A2 1210 1198 0.00      
8 A2 944 934 0.00      
9 B1 1223 1211 0.00      
10 B1 1134 1123 0.00      
11 B1 935 925 0.00      
12 B2 3050 3018 119.82      
13 B2 2979 2948 10.61      
14 B2 1453 1438 5.20      
15 B2 867 858 0.03      
16 B2 615 609 3.39      
17 E 3031 3000 23.16      
17 E 3031 3000 23.16      
18 E 2981 2950 92.66      
18 E 2981 2950 92.66      
19 E 1445 1430 1.68      
19 E 1445 1430 1.68      
20 E 1248 1235 2.43      
20 E 1248 1235 2.43      
21 E 1219 1206 1.08      
21 E 1219 1206 1.08      
22 E 904 894 3.24      
22 E 904 894 3.24      
23 E 736 728 0.42      
23 E 736 728 0.42      

Unscaled Zero Point Vibrational Energy (zpe) 23681.7 cm-1
Scaled (by 0.9896) Zero Point Vibrational Energy (zpe) 23435.5 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 PBEPBEultrafine/6-311G*
ABC
0.35431 0.35431 0.21024

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBEultrafine/6-311G*

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 1.084 0.130
C2 0.000 -1.084 0.130
C3 -1.084 0.000 -0.130
C4 1.084 0.000 -0.130
H5 0.000 1.411 1.182
H6 0.000 1.979 -0.511
H7 0.000 -1.411 1.182
H8 0.000 -1.979 -0.511
H9 -1.411 0.000 -1.182
H10 -1.979 0.000 0.511
H11 1.411 0.000 -1.182
H12 1.979 0.000 0.511

Atom - Atom Distances (Å)
  C1 C2 C3 C4 H5 H6 H7 H8 H9 H10 H11 H12
C12.16751.55441.55441.10181.10072.70713.12892.20992.28832.20992.2883
C22.16751.55441.55442.70713.12891.10181.10072.20992.28832.20992.2883
C31.55441.55442.16752.20992.28832.20992.28831.10181.10072.70713.1289
C41.55441.55442.16752.20992.28832.20992.28832.70713.12891.10181.1007
H51.10182.70712.20992.20991.78552.82123.78873.09272.52113.09272.5211
H61.10073.12892.28832.28831.78553.78873.95792.52112.97942.52112.9794
H72.70711.10182.20992.20992.82123.78871.78553.09272.52113.09272.5211
H83.12891.10072.28832.28833.78873.95791.78552.52112.97942.52112.9794
H92.20992.20991.10182.70713.09272.52113.09272.52111.78552.82123.7887
H102.28832.28831.10073.12892.52112.97942.52112.97941.78553.78873.9579
H112.20992.20992.70711.10183.09272.52113.09272.52112.82123.78871.7855
H122.28832.28833.12891.10072.52112.97942.52112.97943.78873.95791.7855

picture of cyclobutane state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C3 C2 88.408 C1 C3 H9 111.469
C1 C3 H10 118.040 C1 C4 C2 88.408
C1 C4 H11 111.469 C1 C4 H12 118.040
C2 C3 H9 111.469 C2 C3 H10 118.040
C2 C4 H11 111.469 C2 C4 H12 118.040
C3 C1 C4 88.408 C3 C1 H5 111.469
C3 C1 H6 118.040 C3 C2 C4 88.408
C3 C2 H7 111.469 C3 C2 H8 118.040
C4 C1 H5 111.469 C4 C1 H6 118.040
C4 C2 H7 111.469 C4 C2 H8 118.040
H5 C1 H6 108.322 H7 C2 H8 108.322
H9 C3 H10 108.322 H11 C4 H12 108.322
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.420      
2 C -0.420      
3 C -0.420      
4 C -0.420      
5 H 0.212      
6 H 0.208      
7 H 0.212      
8 H 0.208      
9 H 0.212      
10 H 0.208      
11 H 0.212      
12 H 0.208      


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 -27.562 0.000 0.000
y 0.000 -27.562 0.000
z 0.000 0.000 -25.986
Traceless
 xyz
x -0.788 0.000 0.000
y 0.000 -0.788 0.000
z 0.000 0.000 1.576
Polar
3z2-r23.151
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 6.892 0.000 0.000
y 0.000 6.892 0.000
z 0.000 0.000 6.251


<r2> (average value of r2) Å2
<r2> 75.730
(<r2>)1/2 8.702