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All results from a given calculation for C4H8 (cyclobutane)

using model chemistry: wB97X-D/TZVP

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/TZVP
 hartrees
Energy at 0K-157.216198
Energy at 298.15K-157.225304
HF Energy-157.216198
Nuclear repulsion energy127.258916
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/TZVP
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 3118 2978 0.00      
2 A1 3084 2946 0.00      
3 A1 1526 1457 0.00      
4 A1 1179 1126 0.00      
5 A1 1033 987 0.00      
6 A1 171 163 0.00      
7 A2 1272 1214 0.00      
8 A2 983 938 0.00      
9 B1 1265 1208 0.00      
10 B1 1191 1138 0.00      
11 B1 966 923 0.00      
12 B2 3150 3008 96.09      
13 B2 3076 2937 10.79      
14 B2 1486 1419 3.74      
15 B2 888 848 0.01      
16 B2 635 606 2.80      
17 E 3132 2991 18.17      
17 E 3132 2991 18.17      
18 E 3078 2939 78.99      
18 E 3078 2939 78.99      
19 E 1483 1417 1.78      
19 E 1483 1417 1.78      
20 E 1302 1244 4.33      
20 E 1302 1244 4.33      
21 E 1261 1204 0.05      
21 E 1261 1204 0.05      
22 E 934 892 3.51      
22 E 934 892 3.51      
23 E 758 724 0.23      
23 E 758 724 0.23      

Unscaled Zero Point Vibrational Energy (zpe) 24459.1 cm-1
Scaled (by 0.955) Zero Point Vibrational Energy (zpe) 23358.5 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 wB97X-D/TZVP
ABC
0.35871 0.35871 0.21219

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

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 1.080 0.122
C2 0.000 -1.080 0.122
C3 -1.080 0.000 -0.122
C4 1.080 0.000 -0.122
H5 0.000 1.418 1.160
H6 0.000 1.953 -0.530
H7 0.000 -1.418 1.160
H8 0.000 -1.953 -0.530
H9 -1.418 0.000 -1.160
H10 -1.953 0.000 0.530
H11 1.418 0.000 -1.160
H12 1.953 0.000 0.530

Atom - Atom Distances (Å)
  C1 C2 C3 C4 H5 H6 H7 H8 H9 H10 H11 H12
C12.15941.54641.54641.09131.09022.70483.10232.19572.26872.19572.2687
C22.15941.54641.54642.70483.10231.09131.09022.19572.26872.19572.2687
C31.54641.54642.15942.19572.26872.19572.26871.09131.09022.70483.1023
C41.54641.54642.15942.19572.26872.19572.26872.70483.10231.09131.0902
H51.09132.70482.19572.19571.77242.83653.77123.06652.49463.06652.4946
H61.09023.10232.26872.26871.77243.77123.90642.49462.95872.49462.9587
H72.70481.09132.19572.19572.83653.77121.77243.06652.49463.06652.4946
H83.10231.09022.26872.26873.77123.90641.77242.49462.95872.49462.9587
H92.19572.19571.09132.70483.06652.49463.06652.49461.77242.83653.7712
H102.26872.26871.09023.10232.49462.95872.49462.95871.77243.77123.9064
H112.19572.19572.70481.09133.06652.49463.06652.49462.83653.77121.7724
H122.26872.26873.10231.09022.49462.95872.49462.95873.77123.90641.7724

picture of cyclobutane state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C3 C2 88.566 C1 C3 H9 111.528
C1 C3 H10 117.697 C1 C4 C2 88.566
C1 C4 H11 111.528 C1 C4 H12 117.697
C2 C3 H9 111.528 C2 C3 H10 117.697
C2 C4 H11 111.528 C2 C4 H12 117.697
C3 C1 C4 88.566 C3 C1 H5 111.528
C3 C1 H6 117.697 C3 C2 C4 88.566
C3 C2 H7 111.528 C3 C2 H8 117.697
C4 C1 H5 111.528 C4 C1 H6 117.697
C4 C2 H7 111.528 C4 C2 H8 117.697
H5 C1 H6 108.679 H7 C2 H8 108.679
H9 C3 H10 108.679 H11 C4 H12 108.679
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.253      
2 C -0.253      
3 C -0.253      
4 C -0.253      
5 H 0.121      
6 H 0.132      
7 H 0.121      
8 H 0.132      
9 H 0.121      
10 H 0.132      
11 H 0.121      
12 H 0.132      


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 -27.180 0.000 0.000
y 0.000 -27.180 0.000
z 0.000 0.000 -25.692
Traceless
 xyz
x -0.744 0.000 0.000
y 0.000 -0.744 0.000
z 0.000 0.000 1.488
Polar
3z2-r22.976
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 6.966 0.000 0.000
y 0.000 6.966 0.000
z 0.000 0.000 6.294


<r2> (average value of r2) Å2
<r2> 74.813
(<r2>)1/2 8.649