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All results from a given calculation for C4H8 (cyclobutane)

using model chemistry: PBEPBE/cc-pVDZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D2D 1A1
Energy calculated at PBEPBE/cc-pVDZ
 hartrees
Energy at 0K-156.988856
Energy at 298.15K-156.997867
HF Energy-156.988856
Nuclear repulsion energy126.197400
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 PBEPBE/cc-pVDZ
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 A1 3025 3007 0.00      
2 A1 2989 2972 0.00      
3 A1 1445 1437 0.00      
4 A1 1125 1118 0.00      
5 A1 1015 1009 0.00      
6 A1 196 195 0.00      
7 A2 1196 1189 0.00      
8 A2 930 924 0.00      
9 B1 1212 1205 0.00      
10 B1 1119 1113 0.00      
11 B1 939 933 0.00      
12 B2 3055 3038 86.23      
13 B2 2980 2963 10.91      
14 B2 1409 1401 3.48      
15 B2 859 854 0.06      
16 B2 613 610 4.00      
17 E 3039 3022 17.81      
17 E 3039 3022 17.81      
18 E 2982 2965 76.67      
18 E 2982 2965 76.67      
19 E 1400 1392 0.53      
19 E 1400 1392 0.53      
20 E 1237 1230 0.31      
20 E 1237 1230 0.31      
21 E 1201 1194 0.36      
21 E 1201 1194 0.36      
22 E 906 901 1.64      
22 E 906 901 1.64      
23 E 730 725 0.34      
23 E 730 725 0.34      

Unscaled Zero Point Vibrational Energy (zpe) 23549.7 cm-1
Scaled (by 0.9942) Zero Point Vibrational Energy (zpe) 23413.1 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 PBEPBE/cc-pVDZ
ABC
0.35305 0.35305 0.20993

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

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 1.084 0.131
C2 0.000 -1.084 0.131
C3 -1.084 0.000 -0.131
C4 1.084 0.000 -0.131
H5 0.000 1.408 1.192
H6 0.000 1.989 -0.509
H7 0.000 -1.408 1.192
H8 0.000 -1.989 -0.509
H9 -1.408 0.000 -1.192
H10 -1.989 0.000 0.509
H11 1.408 0.000 -1.192
H12 1.989 0.000 0.509

Atom - Atom Distances (Å)
  C1 C2 C3 C4 H5 H6 H7 H8 H9 H10 H11 H12
C12.16731.55471.55471.10961.10872.70803.13842.21512.29632.21512.2963
C22.16731.55471.55472.70803.13841.10961.10872.21512.29632.21512.2963
C31.55471.55472.16732.21512.29632.21512.29631.10961.10872.70803.1384
C41.55471.55472.16732.21512.29632.21512.29632.70803.13841.10961.1087
H51.10962.70802.21512.21511.79802.81543.79893.10622.53053.10622.5305
H61.10873.13842.29632.29631.79803.79893.97762.53052.99142.53052.9914
H72.70801.10962.21512.21512.81543.79891.79803.10622.53053.10622.5305
H83.13841.10872.29632.29633.79893.97761.79802.53052.99142.53052.9914
H92.21512.21511.10962.70803.10622.53053.10622.53051.79802.81543.7989
H102.29632.29631.10873.13842.53052.99142.53052.99141.79803.79893.9776
H112.21512.21512.70801.10963.10622.53053.10622.53052.81543.79891.7980
H122.29632.29633.13841.10872.53052.99142.53052.99143.79893.97761.7980

picture of cyclobutane state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C3 C2 88.374 C1 C3 H9 111.386
C1 C3 H10 118.150 C1 C4 C2 88.374
C1 C4 H11 111.386 C1 C4 H12 118.150
C2 C3 H9 111.386 C2 C3 H10 118.150
C2 C4 H11 111.386 C2 C4 H12 118.150
C3 C1 C4 88.374 C3 C1 H5 111.386
C3 C1 H6 118.150 C3 C2 C4 88.374
C3 C2 H7 111.386 C3 C2 H8 118.150
C4 C1 H5 111.386 C4 C1 H6 118.150
C4 C2 H7 111.386 C4 C2 H8 118.150
H5 C1 H6 108.292 H7 C2 H8 108.292
H9 C3 H10 108.292 H11 C4 H12 108.292
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.038      
2 C -0.038      
3 C -0.038      
4 C -0.038      
5 H 0.024      
6 H 0.014      
7 H 0.024      
8 H 0.014      
9 H 0.024      
10 H 0.014      
11 H 0.024      
12 H 0.014      


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 -27.299 0.000 0.000
y 0.000 -27.299 0.000
z 0.000 0.000 -25.948
Traceless
 xyz
x -0.675 0.000 0.000
y 0.000 -0.675 0.000
z 0.000 0.000 1.350
Polar
3z2-r22.701
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 6.772 0.000 0.000
y 0.000 6.772 0.000
z 0.000 0.000 6.242


<r2> (average value of r2) Å2
<r2> 75.834
(<r2>)1/2 8.708