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All results from a given calculation for C4H8 (cyclobutane)

using model chemistry: wB97X-D/aug-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 wB97X-D/aug-cc-pVDZ
 hartrees
Energy at 0K-157.180167
Energy at 298.15K-157.189277
HF Energy-157.180167
Nuclear repulsion energy126.846785
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 wB97X-D/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 A1 3121 2987 0.00      
2 A1 3083 2951 0.00      
3 A1 1513 1448 0.00      
4 A1 1167 1118 0.00      
5 A1 1044 999 0.00      
6 A1 180 172 0.00      
7 A2 1246 1192 0.00      
8 A2 968 927 0.00      
9 B1 1254 1200 0.00      
10 B1 1182 1132 0.00      
11 B1 969 928 0.00      
12 B2 3152 3017 99.64      
13 B2 3073 2941 12.78      
14 B2 1468 1406 3.80      
15 B2 883 846 0.01      
16 B2 636 609 2.41      
17 E 3135 3001 20.26      
17 E 3135 3001 20.26      
18 E 3075 2944 83.59      
18 E 3075 2944 83.59      
19 E 1467 1405 1.76      
19 E 1467 1405 1.76      
20 E 1287 1232 2.17      
20 E 1287 1232 2.17      
21 E 1248 1195 0.03      
21 E 1248 1195 0.03      
22 E 932 892 2.58      
22 E 932 892 2.58      
23 E 752 720 0.31      
23 E 752 720 0.31      

Unscaled Zero Point Vibrational Energy (zpe) 24364.7 cm-1
Scaled (by 0.9573) Zero Point Vibrational Energy (zpe) 23324.3 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 wB97X-D/aug-cc-pVDZ
ABC
0.35659 0.35659 0.21114

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/aug-cc-pVDZ

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 1.082 0.123
C2 0.000 -1.082 0.123
C3 -1.082 0.000 -0.123
C4 1.082 0.000 -0.123
H5 0.000 1.422 1.167
H6 0.000 1.961 -0.533
H7 0.000 -1.422 1.167
H8 0.000 -1.961 -0.533
H9 -1.422 0.000 -1.167
H10 -1.961 0.000 0.533
H11 1.422 0.000 -1.167
H12 1.961 0.000 0.533

Atom - Atom Distances (Å)
  C1 C2 C3 C4 H5 H6 H7 H8 H9 H10 H11 H12
C12.16371.54951.54951.09801.09702.71303.11292.20342.27712.20342.2771
C22.16371.54951.54952.71303.11291.09801.09702.20342.27712.20342.2771
C31.54951.54952.16372.20342.27712.20342.27711.09801.09702.71303.1129
C41.54951.54952.16372.20342.27712.20342.27712.71303.11291.09801.0970
H51.09802.71302.20342.20341.78332.84453.78643.08042.50393.08042.5039
H61.09703.11292.27712.27711.78333.78643.92222.50392.97162.50392.9716
H72.71301.09802.20342.20342.84453.78641.78333.08042.50393.08042.5039
H83.11291.09702.27712.27713.78643.92221.78332.50392.97162.50392.9716
H92.20342.20341.09802.71303.08042.50393.08042.50391.78332.84453.7864
H102.27712.27711.09703.11292.50392.97162.50392.97161.78333.78643.9222
H112.20342.20342.71301.09803.08042.50393.08042.50392.84453.78641.7833
H122.27712.27713.11291.09702.50392.97162.50392.97163.78643.92221.7833

picture of cyclobutane state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C3 C2 88.565 C1 C3 H9 111.524
C1 C3 H10 117.708 C1 C4 C2 88.565
C1 C4 H11 111.524 C1 C4 H12 117.708
C2 C3 H9 111.524 C2 C3 H10 117.708
C2 C4 H11 111.524 C2 C4 H12 117.708
C3 C1 C4 88.565 C3 C1 H5 111.524
C3 C1 H6 117.708 C3 C2 C4 88.565
C3 C2 H7 111.524 C3 C2 H8 117.708
C4 C1 H5 111.524 C4 C1 H6 117.708
C4 C2 H7 111.524 C4 C2 H8 117.708
H5 C1 H6 108.669 H7 C2 H8 108.669
H9 C3 H10 108.669 H11 C4 H12 108.669
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.801      
2 C 0.801      
3 C 0.801      
4 C 0.801      
5 H -0.418      
6 H -0.383      
7 H -0.418      
8 H -0.383      
9 H -0.418      
10 H -0.383      
11 H -0.418      
12 H -0.383      


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 -27.362 0.000 0.000
y 0.000 -27.362 0.000
z 0.000 0.000 -25.781
Traceless
 xyz
x -0.791 0.000 0.000
y 0.000 -0.791 0.000
z 0.000 0.000 1.582
Polar
3z2-r23.164
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 7.501 0.000 0.000
y 0.000 7.501 0.000
z 0.000 0.000 6.563


<r2> (average value of r2) Å2
<r2> 75.268
(<r2>)1/2 8.676